diff --git a/kmath-ast/README.md b/kmath-ast/README.md
new file mode 100644
index 000000000..f9dbd4663
--- /dev/null
+++ b/kmath-ast/README.md
@@ -0,0 +1,4 @@
+# AST based expression representation and operations
+
+## Dynamic expression code generation
+Contributed by [Iaroslav Postovalov](https://github.com/CommanderTvis).
\ No newline at end of file
diff --git a/kmath-ast/src/commonMain/kotlin/scientifik/kmath/ast/MST.kt b/kmath-ast/src/commonMain/kotlin/scientifik/kmath/ast/MST.kt
index 3375ecdf3..900b9297a 100644
--- a/kmath-ast/src/commonMain/kotlin/scientifik/kmath/ast/MST.kt
+++ b/kmath-ast/src/commonMain/kotlin/scientifik/kmath/ast/MST.kt
@@ -11,7 +11,7 @@ sealed class MST {
     /**
      * A node containing unparsed string
      */
-    data class Singular(val value: String) : MST()
+    data class Symbolic(val value: String) : MST()
 
     /**
      * A node containing a number
@@ -43,7 +43,7 @@ sealed class MST {
 fun <T> NumericAlgebra<T>.evaluate(node: MST): T {
     return when (node) {
         is MST.Numeric -> number(node.value)
-        is MST.Singular -> symbol(node.value)
+        is MST.Symbolic -> symbol(node.value)
         is MST.Unary -> unaryOperation(node.operation, evaluate(node.value))
         is MST.Binary -> when {
             node.left is MST.Numeric && node.right is MST.Numeric -> {
diff --git a/kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/AsmBuilders.kt b/kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/AsmBuilders.kt
deleted file mode 100644
index 69e49f8b6..000000000
--- a/kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/AsmBuilders.kt
+++ /dev/null
@@ -1,56 +0,0 @@
-package scientifik.kmath.asm
-
-import scientifik.kmath.asm.internal.AsmGenerationContext
-import scientifik.kmath.ast.MST
-import scientifik.kmath.ast.evaluate
-import scientifik.kmath.expressions.Expression
-import scientifik.kmath.operations.*
-
-@PublishedApi
-internal fun buildName(expression: AsmNode<*>, collision: Int = 0): String {
-    val name = "scientifik.kmath.expressions.generated.AsmCompiledExpression_${expression.hashCode()}_$collision"
-
-    try {
-        Class.forName(name)
-    } catch (ignored: ClassNotFoundException) {
-        return name
-    }
-
-    return buildName(expression, collision + 1)
-}
-
-@PublishedApi
-internal inline fun <reified T> AsmNode<T>.compile(algebra: Algebra<T>): Expression<T> {
-    val ctx =
-        AsmGenerationContext(T::class.java, algebra, buildName(this))
-    compile(ctx)
-    return ctx.generate()
-}
-
-inline fun <reified T, A : NumericAlgebra<T>, E : AsmExpressionAlgebra<T, A>> A.asm(
-    expressionAlgebra: E,
-    block: E.() -> AsmNode<T>
-): Expression<T> = expressionAlgebra.block().compile(expressionAlgebra.algebra)
-
-inline fun <reified T, A : NumericAlgebra<T>, E : AsmExpressionAlgebra<T, A>> A.asm(
-    expressionAlgebra: E,
-    ast: MST
-): Expression<T> = asm(expressionAlgebra) { evaluate(ast) }
-
-inline fun <reified T, A> A.asmSpace(block: AsmExpressionSpace<T, A>.() -> AsmNode<T>): Expression<T> where A : NumericAlgebra<T>, A : Space<T> =
-    AsmExpressionSpace(this).let { it.block().compile(it.algebra) }
-
-inline fun <reified T, A> A.asmSpace(ast: MST): Expression<T> where A : NumericAlgebra<T>, A : Space<T> =
-    asmSpace { evaluate(ast) }
-
-inline fun <reified T, A> A.asmRing(block: AsmExpressionRing<T, A>.() -> AsmNode<T>): Expression<T> where A : NumericAlgebra<T>, A : Ring<T> =
-    AsmExpressionRing(this).let { it.block().compile(it.algebra) }
-
-inline fun <reified T, A> A.asmRing(ast: MST): Expression<T> where A : NumericAlgebra<T>, A : Ring<T> =
-    asmRing { evaluate(ast) }
-
-inline fun <reified T, A> A.asmField(block: AsmExpressionField<T, A>.() -> AsmNode<T>): Expression<T> where A : NumericAlgebra<T>, A : Field<T> =
-    AsmExpressionField(this).let { it.block().compile(it.algebra) }
-
-inline fun <reified T, A> A.asmField(ast: MST): Expression<T> where A : NumericAlgebra<T>, A : Field<T> =
-    asmRing { evaluate(ast) }
diff --git a/kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/AsmExpressions.kt b/kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/AsmExpressions.kt
index 8f16a2710..a8b3ff976 100644
--- a/kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/AsmExpressions.kt
+++ b/kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/AsmExpressions.kt
@@ -1,19 +1,24 @@
 package scientifik.kmath.asm
 
-import scientifik.kmath.asm.internal.AsmGenerationContext
+import scientifik.kmath.asm.internal.AsmBuilder
 import scientifik.kmath.asm.internal.hasSpecific
 import scientifik.kmath.asm.internal.optimize
 import scientifik.kmath.asm.internal.tryInvokeSpecific
 import scientifik.kmath.expressions.Expression
 import scientifik.kmath.expressions.ExpressionAlgebra
 import scientifik.kmath.operations.*
+import kotlin.reflect.KClass
 
 /**
- * A function declaration that could be compiled to [AsmGenerationContext].
+ * A function declaration that could be compiled to [AsmBuilder].
  *
  * @param T the type the stored function returns.
  */
-abstract class AsmNode<T> internal constructor() {
+sealed class AsmExpression<T : Any>: Expression<T> {
+    abstract val type: KClass<out T>
+
+    abstract val algebra: Algebra<T>
+
     /**
      * Tries to evaluate this function without its variables. This method is intended for optimization.
      *
@@ -24,118 +29,144 @@ abstract class AsmNode<T> internal constructor() {
     /**
      * Compiles this declaration.
      *
-     * @param gen the target [AsmGenerationContext].
+     * @param gen the target [AsmBuilder].
      */
-    @PublishedApi
-    internal abstract fun compile(gen: AsmGenerationContext<T>)
+    internal abstract fun appendTo(gen: AsmBuilder<T>)
+
+    /**
+     * Compile and cache the expression
+     */
+    private val compiledExpression by lazy{
+        val builder = AsmBuilder(type.java, algebra, buildName(this))
+        this.appendTo(builder)
+        builder.generate()
+    }
+
+    override fun invoke(arguments: Map<String, T>): T = compiledExpression.invoke(arguments)
 }
 
-internal class AsmUnaryOperation<T>(private val context: Algebra<T>, private val name: String, expr: AsmNode<T>) :
-    AsmNode<T>() {
-    private val expr: AsmNode<T> = expr.optimize()
-    override fun tryEvaluate(): T? = context { unaryOperation(name, expr.tryEvaluate() ?: return@context null) }
+internal class AsmUnaryOperation<T : Any>(
+    override val type: KClass<out T>,
+    override val algebra: Algebra<T>,
+    private val name: String,
+    expr: AsmExpression<T>
+) : AsmExpression<T>() {
+    private val expr: AsmExpression<T> = expr.optimize()
+    override fun tryEvaluate(): T? = algebra { unaryOperation(name, expr.tryEvaluate() ?: return@algebra null) }
 
-    override fun compile(gen: AsmGenerationContext<T>) {
+    override fun appendTo(gen: AsmBuilder<T>) {
         gen.visitLoadAlgebra()
 
-        if (!hasSpecific(context, name, 1))
+        if (!hasSpecific(algebra, name, 1))
             gen.visitStringConstant(name)
 
-        expr.compile(gen)
+        expr.appendTo(gen)
 
-        if (gen.tryInvokeSpecific(context, name, 1))
+        if (gen.tryInvokeSpecific(algebra, name, 1))
             return
 
         gen.visitAlgebraOperation(
-            owner = AsmGenerationContext.ALGEBRA_CLASS,
+            owner = AsmBuilder.ALGEBRA_CLASS,
             method = "unaryOperation",
-            descriptor = "(L${AsmGenerationContext.STRING_CLASS};" +
-                    "L${AsmGenerationContext.OBJECT_CLASS};)" +
-                    "L${AsmGenerationContext.OBJECT_CLASS};"
+            descriptor = "(L${AsmBuilder.STRING_CLASS};" +
+                    "L${AsmBuilder.OBJECT_CLASS};)" +
+                    "L${AsmBuilder.OBJECT_CLASS};"
         )
     }
 }
 
-internal class AsmBinaryOperation<T>(
-    private val context: Algebra<T>,
+internal class AsmBinaryOperation<T : Any>(
+    override val type: KClass<out T>,
+    override val algebra: Algebra<T>,
     private val name: String,
-    first: AsmNode<T>,
-    second: AsmNode<T>
-) : AsmNode<T>() {
-    private val first: AsmNode<T> = first.optimize()
-    private val second: AsmNode<T> = second.optimize()
+    first: AsmExpression<T>,
+    second: AsmExpression<T>
+) : AsmExpression<T>() {
+    private val first: AsmExpression<T> = first.optimize()
+    private val second: AsmExpression<T> = second.optimize()
 
-    override fun tryEvaluate(): T? = context {
+    override fun tryEvaluate(): T? = algebra {
         binaryOperation(
             name,
-            first.tryEvaluate() ?: return@context null,
-            second.tryEvaluate() ?: return@context null
+            first.tryEvaluate() ?: return@algebra null,
+            second.tryEvaluate() ?: return@algebra null
         )
     }
 
-    override fun compile(gen: AsmGenerationContext<T>) {
+    override fun appendTo(gen: AsmBuilder<T>) {
         gen.visitLoadAlgebra()
 
-        if (!hasSpecific(context, name, 2))
+        if (!hasSpecific(algebra, name, 2))
             gen.visitStringConstant(name)
 
-        first.compile(gen)
-        second.compile(gen)
+        first.appendTo(gen)
+        second.appendTo(gen)
 
-        if (gen.tryInvokeSpecific(context, name, 2))
+        if (gen.tryInvokeSpecific(algebra, name, 2))
             return
 
         gen.visitAlgebraOperation(
-            owner = AsmGenerationContext.ALGEBRA_CLASS,
+            owner = AsmBuilder.ALGEBRA_CLASS,
             method = "binaryOperation",
-            descriptor = "(L${AsmGenerationContext.STRING_CLASS};" +
-                    "L${AsmGenerationContext.OBJECT_CLASS};" +
-                    "L${AsmGenerationContext.OBJECT_CLASS};)" +
-                    "L${AsmGenerationContext.OBJECT_CLASS};"
+            descriptor = "(L${AsmBuilder.STRING_CLASS};" +
+                    "L${AsmBuilder.OBJECT_CLASS};" +
+                    "L${AsmBuilder.OBJECT_CLASS};)" +
+                    "L${AsmBuilder.OBJECT_CLASS};"
         )
     }
 }
 
-internal class AsmVariableExpression<T>(private val name: String, private val default: T? = null) :
-    AsmNode<T>() {
-    override fun compile(gen: AsmGenerationContext<T>): Unit = gen.visitLoadFromVariables(name, default)
+internal class AsmVariableExpression<T : Any>(
+    override val type: KClass<out T>,
+    override val algebra: Algebra<T>,
+    private val name: String,
+    private val default: T? = null
+) : AsmExpression<T>() {
+    override fun appendTo(gen: AsmBuilder<T>): Unit = gen.visitLoadFromVariables(name, default)
 }
 
-internal class AsmConstantExpression<T>(private val value: T) :
-    AsmNode<T>() {
+internal class AsmConstantExpression<T : Any>(
+    override val type: KClass<out T>,
+    override val algebra: Algebra<T>,
+    private val value: T
+) : AsmExpression<T>() {
     override fun tryEvaluate(): T = value
-    override fun compile(gen: AsmGenerationContext<T>): Unit = gen.visitLoadFromConstants(value)
+    override fun appendTo(gen: AsmBuilder<T>): Unit = gen.visitLoadFromConstants(value)
 }
 
-internal class AsmConstProductExpression<T>(
-    private val context: Space<T>,
-    expr: AsmNode<T>,
+internal class AsmConstProductExpression<T : Any>(
+    override val type: KClass<out T>,
+    override val algebra: Space<T>,
+    expr: AsmExpression<T>,
     private val const: Number
-) : AsmNode<T>() {
-    private val expr: AsmNode<T> = expr.optimize()
+) : AsmExpression<T>() {
+    private val expr: AsmExpression<T> = expr.optimize()
 
-    override fun tryEvaluate(): T? = context { (expr.tryEvaluate() ?: return@context null) * const }
+    override fun tryEvaluate(): T? = algebra { (expr.tryEvaluate() ?: return@algebra null) * const }
 
-    override fun compile(gen: AsmGenerationContext<T>) {
+    override fun appendTo(gen: AsmBuilder<T>) {
         gen.visitLoadAlgebra()
         gen.visitNumberConstant(const)
-        expr.compile(gen)
+        expr.appendTo(gen)
 
         gen.visitAlgebraOperation(
-            owner = AsmGenerationContext.SPACE_OPERATIONS_CLASS,
+            owner = AsmBuilder.SPACE_OPERATIONS_CLASS,
             method = "multiply",
-            descriptor = "(L${AsmGenerationContext.OBJECT_CLASS};" +
-                    "L${AsmGenerationContext.NUMBER_CLASS};)" +
-                    "L${AsmGenerationContext.OBJECT_CLASS};"
+            descriptor = "(L${AsmBuilder.OBJECT_CLASS};" +
+                    "L${AsmBuilder.NUMBER_CLASS};)" +
+                    "L${AsmBuilder.OBJECT_CLASS};"
         )
     }
 }
 
-internal class AsmNumberExpression<T>(private val context: NumericAlgebra<T>, private val value: Number) :
-    AsmNode<T>() {
-    override fun tryEvaluate(): T? = context.number(value)
+internal class AsmNumberExpression<T : Any>(
+    override val type: KClass<out T>,
+    override val algebra: NumericAlgebra<T>,
+    private val value: Number
+) : AsmExpression<T>() {
+    override fun tryEvaluate(): T? = algebra.number(value)
 
-    override fun compile(gen: AsmGenerationContext<T>): Unit = gen.visitNumberConstant(value)
+    override fun appendTo(gen: AsmBuilder<T>): Unit = gen.visitNumberConstant(value)
 }
 
 internal abstract class FunctionalCompiledExpression<T> internal constructor(
@@ -146,120 +177,116 @@ internal abstract class FunctionalCompiledExpression<T> internal constructor(
 }
 
 /**
- * A context class for [AsmNode] construction.
+ * A context class for [AsmExpression] construction.
+ *
+ * @param  algebra The algebra to provide for AsmExpressions built.
  */
-interface AsmExpressionAlgebra<T, A : NumericAlgebra<T>> : NumericAlgebra<AsmNode<T>>,
-    ExpressionAlgebra<T, AsmNode<T>> {
-    /**
-     * The algebra to provide for AsmExpressions built.
-     */
-    val algebra: A
+open class AsmExpressionAlgebra<T : Any, A : NumericAlgebra<T>>(val type: KClass<out T>, val algebra: A) :
+    NumericAlgebra<AsmExpression<T>>, ExpressionAlgebra<T, AsmExpression<T>> {
 
     /**
      * Builds an AsmExpression to wrap a number.
      */
-    override fun number(value: Number): AsmNode<T> = AsmNumberExpression(algebra, value)
+    override fun number(value: Number): AsmExpression<T> = AsmNumberExpression(type, algebra, value)
 
     /**
      * Builds an AsmExpression of constant expression which does not depend on arguments.
      */
-    override fun const(value: T): AsmNode<T> = AsmConstantExpression(value)
+    override fun const(value: T): AsmExpression<T> = AsmConstantExpression(type, algebra, value)
 
     /**
      * Builds an AsmExpression to access a variable.
      */
-    override fun variable(name: String, default: T?): AsmNode<T> = AsmVariableExpression(name, default)
+    override fun variable(name: String, default: T?): AsmExpression<T> = AsmVariableExpression(type, algebra, name, default)
 
     /**
      * Builds an AsmExpression of dynamic call of binary operation [operation] on [left] and [right].
      */
-    override fun binaryOperation(operation: String, left: AsmNode<T>, right: AsmNode<T>): AsmNode<T> =
-        AsmBinaryOperation(algebra, operation, left, right)
+    override fun binaryOperation(operation: String, left: AsmExpression<T>, right: AsmExpression<T>): AsmExpression<T> =
+        AsmBinaryOperation(type, algebra, operation, left, right)
 
     /**
      * Builds an AsmExpression of dynamic call of unary operation with name [operation] on [arg].
      */
-    override fun unaryOperation(operation: String, arg: AsmNode<T>): AsmNode<T> =
-        AsmUnaryOperation(algebra, operation, arg)
+    override fun unaryOperation(operation: String, arg: AsmExpression<T>): AsmExpression<T> =
+        AsmUnaryOperation(type, algebra, operation, arg)
 }
 
 /**
- * A context class for [AsmNode] construction for [Space] algebras.
+ * A context class for [AsmExpression] construction for [Space] algebras.
  */
-open class AsmExpressionSpace<T, A>(override val algebra: A) : AsmExpressionAlgebra<T, A>,
-    Space<AsmNode<T>> where  A : Space<T>, A : NumericAlgebra<T> {
-    override val zero: AsmNode<T>
-        get() = const(algebra.zero)
+open class AsmExpressionSpace<T : Any, A>(type: KClass<out T>, algebra: A) : AsmExpressionAlgebra<T, A>(type, algebra),
+    Space<AsmExpression<T>> where  A : Space<T>, A : NumericAlgebra<T> {
+    override val zero: AsmExpression<T> get() = const(algebra.zero)
 
     /**
      * Builds an AsmExpression of addition of two another expressions.
      */
-    override fun add(a: AsmNode<T>, b: AsmNode<T>): AsmNode<T> =
-        AsmBinaryOperation(algebra, SpaceOperations.PLUS_OPERATION, a, b)
+    override fun add(a: AsmExpression<T>, b: AsmExpression<T>): AsmExpression<T> =
+        AsmBinaryOperation(type, algebra, SpaceOperations.PLUS_OPERATION, a, b)
 
     /**
      * Builds an AsmExpression of multiplication of expression by number.
      */
-    override fun multiply(a: AsmNode<T>, k: Number): AsmNode<T> = AsmConstProductExpression(algebra, a, k)
+    override fun multiply(a: AsmExpression<T>, k: Number): AsmExpression<T> = AsmConstProductExpression(type, algebra, a, k)
 
-    operator fun AsmNode<T>.plus(arg: T): AsmNode<T> = this + const(arg)
-    operator fun AsmNode<T>.minus(arg: T): AsmNode<T> = this - const(arg)
-    operator fun T.plus(arg: AsmNode<T>): AsmNode<T> = arg + this
-    operator fun T.minus(arg: AsmNode<T>): AsmNode<T> = arg - this
+    operator fun AsmExpression<T>.plus(arg: T): AsmExpression<T> = this + const(arg)
+    operator fun AsmExpression<T>.minus(arg: T): AsmExpression<T> = this - const(arg)
+    operator fun T.plus(arg: AsmExpression<T>): AsmExpression<T> = arg + this
+    operator fun T.minus(arg: AsmExpression<T>): AsmExpression<T> = arg - this
 
-    override fun unaryOperation(operation: String, arg: AsmNode<T>): AsmNode<T> =
+    override fun unaryOperation(operation: String, arg: AsmExpression<T>): AsmExpression<T> =
         super<AsmExpressionAlgebra>.unaryOperation(operation, arg)
 
-    override fun binaryOperation(operation: String, left: AsmNode<T>, right: AsmNode<T>): AsmNode<T> =
+    override fun binaryOperation(operation: String, left: AsmExpression<T>, right: AsmExpression<T>): AsmExpression<T> =
         super<AsmExpressionAlgebra>.binaryOperation(operation, left, right)
 }
 
 /**
- * A context class for [AsmNode] construction for [Ring] algebras.
+ * A context class for [AsmExpression] construction for [Ring] algebras.
  */
-open class AsmExpressionRing<T, A>(override val algebra: A) : AsmExpressionSpace<T, A>(algebra),
-    Ring<AsmNode<T>> where  A : Ring<T>, A : NumericAlgebra<T> {
-    override val one: AsmNode<T>
-        get() = const(algebra.one)
+open class AsmExpressionRing<T : Any, A>(type: KClass<out T>, algebra: A) : AsmExpressionSpace<T, A>(type, algebra),
+    Ring<AsmExpression<T>> where  A : Ring<T>, A : NumericAlgebra<T> {
+    override val one: AsmExpression<T> get() = const(algebra.one)
 
     /**
      * Builds an AsmExpression of multiplication of two expressions.
      */
-    override fun multiply(a: AsmNode<T>, b: AsmNode<T>): AsmNode<T> =
-        AsmBinaryOperation(algebra, RingOperations.TIMES_OPERATION, a, b)
+    override fun multiply(a: AsmExpression<T>, b: AsmExpression<T>): AsmExpression<T> =
+        AsmBinaryOperation(type, algebra, RingOperations.TIMES_OPERATION, a, b)
 
-    operator fun AsmNode<T>.times(arg: T): AsmNode<T> = this * const(arg)
-    operator fun T.times(arg: AsmNode<T>): AsmNode<T> = arg * this
+    operator fun AsmExpression<T>.times(arg: T): AsmExpression<T> = this * const(arg)
+    operator fun T.times(arg: AsmExpression<T>): AsmExpression<T> = arg * this
 
-    override fun unaryOperation(operation: String, arg: AsmNode<T>): AsmNode<T> =
+    override fun unaryOperation(operation: String, arg: AsmExpression<T>): AsmExpression<T> =
         super<AsmExpressionSpace>.unaryOperation(operation, arg)
 
-    override fun binaryOperation(operation: String, left: AsmNode<T>, right: AsmNode<T>): AsmNode<T> =
+    override fun binaryOperation(operation: String, left: AsmExpression<T>, right: AsmExpression<T>): AsmExpression<T> =
         super<AsmExpressionSpace>.binaryOperation(operation, left, right)
 
-    override fun number(value: Number): AsmNode<T> = super<AsmExpressionSpace>.number(value)
+    override fun number(value: Number): AsmExpression<T> = super<AsmExpressionSpace>.number(value)
 }
 
 /**
- * A context class for [AsmNode] construction for [Field] algebras.
+ * A context class for [AsmExpression] construction for [Field] algebras.
  */
-open class AsmExpressionField<T, A>(override val algebra: A) :
-    AsmExpressionRing<T, A>(algebra),
-    Field<AsmNode<T>> where A : Field<T>, A : NumericAlgebra<T> {
+open class AsmExpressionField<T : Any, A>(type: KClass<out T>, algebra: A) :
+    AsmExpressionRing<T, A>(type, algebra),
+    Field<AsmExpression<T>> where A : Field<T>, A : NumericAlgebra<T> {
     /**
      * Builds an AsmExpression of division an expression by another one.
      */
-    override fun divide(a: AsmNode<T>, b: AsmNode<T>): AsmNode<T> =
-        AsmBinaryOperation(algebra, FieldOperations.DIV_OPERATION, a, b)
+    override fun divide(a: AsmExpression<T>, b: AsmExpression<T>): AsmExpression<T> =
+        AsmBinaryOperation(type, algebra, FieldOperations.DIV_OPERATION, a, b)
 
-    operator fun AsmNode<T>.div(arg: T): AsmNode<T> = this / const(arg)
-    operator fun T.div(arg: AsmNode<T>): AsmNode<T> = arg / this
+    operator fun AsmExpression<T>.div(arg: T): AsmExpression<T> = this / const(arg)
+    operator fun T.div(arg: AsmExpression<T>): AsmExpression<T> = arg / this
 
-    override fun unaryOperation(operation: String, arg: AsmNode<T>): AsmNode<T> =
+    override fun unaryOperation(operation: String, arg: AsmExpression<T>): AsmExpression<T> =
         super<AsmExpressionRing>.unaryOperation(operation, arg)
 
-    override fun binaryOperation(operation: String, left: AsmNode<T>, right: AsmNode<T>): AsmNode<T> =
+    override fun binaryOperation(operation: String, left: AsmExpression<T>, right: AsmExpression<T>): AsmExpression<T> =
         super<AsmExpressionRing>.binaryOperation(operation, left, right)
 
-    override fun number(value: Number): AsmNode<T> = super<AsmExpressionRing>.number(value)
+    override fun number(value: Number): AsmExpression<T> = super<AsmExpressionRing>.number(value)
 }
diff --git a/kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/asm.kt b/kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/asm.kt
new file mode 100644
index 000000000..cc3e36e94
--- /dev/null
+++ b/kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/asm.kt
@@ -0,0 +1,47 @@
+package scientifik.kmath.asm
+
+import scientifik.kmath.ast.MST
+import scientifik.kmath.ast.evaluate
+import scientifik.kmath.expressions.Expression
+import scientifik.kmath.operations.Field
+import scientifik.kmath.operations.NumericAlgebra
+import scientifik.kmath.operations.Ring
+import scientifik.kmath.operations.Space
+
+internal fun buildName(expression: AsmExpression<*>, collision: Int = 0): String {
+    val name = "scientifik.kmath.expressions.generated.AsmCompiledExpression_${expression.hashCode()}_$collision"
+
+    try {
+        Class.forName(name)
+    } catch (ignored: ClassNotFoundException) {
+        return name
+    }
+
+    return buildName(expression, collision + 1)
+}
+
+inline fun <reified T : Any, A : NumericAlgebra<T>, E : AsmExpressionAlgebra<T, A>> A.asm(
+    expressionAlgebra: E,
+    block: E.() -> AsmExpression<T>
+): Expression<T> = expressionAlgebra.block()
+
+inline fun <reified T : Any> NumericAlgebra<T>.asm(ast: MST): Expression<T> =
+    AsmExpressionAlgebra(T::class, this).evaluate(ast)
+
+inline fun <reified T : Any, A> A.asmSpace(block: AsmExpressionSpace<T, A>.() -> AsmExpression<T>): Expression<T> where A : NumericAlgebra<T>, A : Space<T> =
+    AsmExpressionSpace<T, A>(T::class, this).block()
+
+inline fun <reified T : Any, A> A.asmSpace(ast: MST): Expression<T> where A : NumericAlgebra<T>, A : Space<T> =
+    asmSpace { evaluate(ast) }
+
+inline fun <reified T : Any, A> A.asmRing(block: AsmExpressionRing<T, A>.() -> AsmExpression<T>): Expression<T> where A : NumericAlgebra<T>, A : Ring<T> =
+    AsmExpressionRing(T::class, this).block()
+
+inline fun <reified T : Any, A> A.asmRing(ast: MST): Expression<T> where A : NumericAlgebra<T>, A : Ring<T> =
+    asmRing { evaluate(ast) }
+
+inline fun <reified T : Any, A> A.asmField(block: AsmExpressionField<T, A>.() -> AsmExpression<T>): Expression<T> where A : NumericAlgebra<T>, A : Field<T> =
+    AsmExpressionField(T::class, this).block()
+
+inline fun <reified T : Any, A> A.asmField(ast: MST): Expression<T> where A : NumericAlgebra<T>, A : Field<T> =
+    asmRing { evaluate(ast) }
diff --git a/kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/internal/AsmGenerationContext.kt b/kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/internal/AsmBuilder.kt
similarity index 82%
rename from kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/internal/AsmGenerationContext.kt
rename to kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/internal/AsmBuilder.kt
index fa0f06579..eefde66e4 100644
--- a/kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/internal/AsmGenerationContext.kt
+++ b/kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/internal/AsmBuilder.kt
@@ -5,30 +5,29 @@ import org.objectweb.asm.Label
 import org.objectweb.asm.MethodVisitor
 import org.objectweb.asm.Opcodes
 import scientifik.kmath.asm.FunctionalCompiledExpression
-import scientifik.kmath.asm.internal.AsmGenerationContext.ClassLoader
+import scientifik.kmath.asm.internal.AsmBuilder.AsmClassLoader
 import scientifik.kmath.operations.Algebra
 
 /**
  * AsmGenerationContext is a structure that abstracts building a class that unwraps [AsmNode] to plain Java
- * expression. This class uses [ClassLoader] for loading the generated class, then it is able to instantiate the new
+ * expression. This class uses [AsmClassLoader] for loading the generated class, then it is able to instantiate the new
  * class.
  *
  * @param T the type of AsmExpression to unwrap.
  * @param algebra the algebra the applied AsmExpressions use.
  * @param className the unique class name of new loaded class.
  */
-@PublishedApi
-internal class AsmGenerationContext<T> @PublishedApi internal constructor(
+internal class AsmBuilder<T>(
     private val classOfT: Class<*>,
     private val algebra: Algebra<T>,
     private val className: String
 ) {
-    private class ClassLoader(parent: java.lang.ClassLoader) : java.lang.ClassLoader(parent) {
+    private class AsmClassLoader(parent: ClassLoader) : ClassLoader(parent) {
         internal fun defineClass(name: String?, b: ByteArray): Class<*> = defineClass(name, b, 0, b.size)
     }
 
-    private val classLoader: ClassLoader =
-        ClassLoader(javaClass.classLoader)
+    private val classLoader: AsmClassLoader =
+        AsmClassLoader(javaClass.classLoader)
 
     @Suppress("PrivatePropertyName")
     private val T_ALGEBRA_CLASS: String = algebra.javaClass.name.replace(oldChar = '.', newChar = '/')
@@ -113,9 +112,8 @@ internal class AsmGenerationContext<T> @PublishedApi internal constructor(
         }
     }
 
-    @PublishedApi
     @Suppress("UNCHECKED_CAST")
-    internal fun generate(): FunctionalCompiledExpression<T> {
+    fun generate(): FunctionalCompiledExpression<T> {
         generatedInstance?.let { return it }
 
         invokeMethodVisitor.run {
@@ -188,7 +186,7 @@ internal class AsmGenerationContext<T> @PublishedApi internal constructor(
         return new
     }
 
-    internal fun visitLoadFromConstants(value: T) {
+    fun visitLoadFromConstants(value: T) {
         if (classOfT in INLINABLE_NUMBERS) {
             visitNumberConstant(value as Number)
             visitCastToT()
@@ -213,7 +211,7 @@ internal class AsmGenerationContext<T> @PublishedApi internal constructor(
 
     private fun visitLoadThis(): Unit = invokeMethodVisitor.visitVarInsn(Opcodes.ALOAD, invokeThisVar)
 
-    internal fun visitNumberConstant(value: Number) {
+    fun visitNumberConstant(value: Number) {
         maxStack++
         val clazz = value.javaClass
         val c = clazz.name.replace('.', '/')
@@ -234,7 +232,7 @@ internal class AsmGenerationContext<T> @PublishedApi internal constructor(
         visitLoadAnyFromConstants(value, c)
     }
 
-    internal fun visitLoadFromVariables(name: String, defaultValue: T? = null): Unit = invokeMethodVisitor.run {
+    fun visitLoadFromVariables(name: String, defaultValue: T? = null): Unit = invokeMethodVisitor.run {
         maxStack += 2
         visitVarInsn(Opcodes.ALOAD, invokeArgumentsVar)
 
@@ -262,7 +260,7 @@ internal class AsmGenerationContext<T> @PublishedApi internal constructor(
         visitCastToT()
     }
 
-    internal fun visitLoadAlgebra() {
+    fun visitLoadAlgebra() {
         maxStack++
         invokeMethodVisitor.visitVarInsn(Opcodes.ALOAD, invokeThisVar)
 
@@ -274,7 +272,7 @@ internal class AsmGenerationContext<T> @PublishedApi internal constructor(
         invokeMethodVisitor.visitTypeInsn(Opcodes.CHECKCAST, T_ALGEBRA_CLASS)
     }
 
-    internal fun visitAlgebraOperation(
+    fun visitAlgebraOperation(
         owner: String,
         method: String,
         descriptor: String,
@@ -288,32 +286,28 @@ internal class AsmGenerationContext<T> @PublishedApi internal constructor(
 
     private fun visitCastToT(): Unit = invokeMethodVisitor.visitTypeInsn(Opcodes.CHECKCAST, T_CLASS)
 
-    internal fun visitStringConstant(string: String) {
+    fun visitStringConstant(string: String) {
         invokeMethodVisitor.visitLdcInsn(string)
     }
 
-    internal companion object {
-        private val SIGNATURE_LETTERS by lazy {
-            mapOf(
-                java.lang.Byte::class.java to "B",
-                java.lang.Short::class.java to "S",
-                java.lang.Integer::class.java to "I",
-                java.lang.Long::class.java to "J",
-                java.lang.Float::class.java to "F",
-                java.lang.Double::class.java to "D"
-            )
-        }
+    companion object {
+        private val SIGNATURE_LETTERS = mapOf(
+            java.lang.Byte::class.java to "B",
+            java.lang.Short::class.java to "S",
+            java.lang.Integer::class.java to "I",
+            java.lang.Long::class.java to "J",
+            java.lang.Float::class.java to "F",
+            java.lang.Double::class.java to "D"
+        )
 
-        private val INLINABLE_NUMBERS by lazy { SIGNATURE_LETTERS.keys }
+        private val INLINABLE_NUMBERS = SIGNATURE_LETTERS.keys
 
-        internal const val FUNCTIONAL_COMPILED_EXPRESSION_CLASS =
-            "scientifik/kmath/asm/FunctionalCompiledExpression"
-
-        internal const val MAP_CLASS = "java/util/Map"
-        internal const val OBJECT_CLASS = "java/lang/Object"
-        internal const val ALGEBRA_CLASS = "scientifik/kmath/operations/Algebra"
-        internal const val SPACE_OPERATIONS_CLASS = "scientifik/kmath/operations/SpaceOperations"
-        internal const val STRING_CLASS = "java/lang/String"
-        internal const val NUMBER_CLASS = "java/lang/Number"
+        const val FUNCTIONAL_COMPILED_EXPRESSION_CLASS = "scientifik/kmath/asm/FunctionalCompiledExpression"
+        const val MAP_CLASS = "java/util/Map"
+        const val OBJECT_CLASS = "java/lang/Object"
+        const val ALGEBRA_CLASS = "scientifik/kmath/operations/Algebra"
+        const val SPACE_OPERATIONS_CLASS = "scientifik/kmath/operations/SpaceOperations"
+        const val STRING_CLASS = "java/lang/String"
+        const val NUMBER_CLASS = "java/lang/Number"
     }
 }
diff --git a/kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/internal/optimization.kt b/kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/internal/optimization.kt
index 815f292ce..d9f950ceb 100644
--- a/kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/internal/optimization.kt
+++ b/kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/internal/optimization.kt
@@ -2,7 +2,7 @@ package scientifik.kmath.asm.internal
 
 import org.objectweb.asm.Opcodes
 import scientifik.kmath.asm.AsmConstantExpression
-import scientifik.kmath.asm.AsmNode
+import scientifik.kmath.asm.AsmExpression
 import scientifik.kmath.operations.Algebra
 
 private val methodNameAdapters: Map<String, String> = mapOf("+" to "add", "*" to "multiply", "/" to "divide")
@@ -16,7 +16,7 @@ internal fun <T> hasSpecific(context: Algebra<T>, name: String, arity: Int): Boo
     return true
 }
 
-internal fun <T> AsmGenerationContext<T>.tryInvokeSpecific(context: Algebra<T>, name: String, arity: Int): Boolean {
+internal fun <T> AsmBuilder<T>.tryInvokeSpecific(context: Algebra<T>, name: String, arity: Int): Boolean {
     val aName = methodNameAdapters[name] ?: name
 
     context::class.java.methods.find { it.name == aName && it.parameters.size == arity }
@@ -26,9 +26,9 @@ internal fun <T> AsmGenerationContext<T>.tryInvokeSpecific(context: Algebra<T>,
 
     val sig = buildString {
         append('(')
-        repeat(arity) { append("L${AsmGenerationContext.OBJECT_CLASS};") }
+        repeat(arity) { append("L${AsmBuilder.OBJECT_CLASS};") }
         append(')')
-        append("L${AsmGenerationContext.OBJECT_CLASS};")
+        append("L${AsmBuilder.OBJECT_CLASS};")
     }
 
     visitAlgebraOperation(
@@ -42,8 +42,7 @@ internal fun <T> AsmGenerationContext<T>.tryInvokeSpecific(context: Algebra<T>,
     return true
 }
 
-@PublishedApi
-internal fun <T> AsmNode<T>.optimize(): AsmNode<T> {
+internal fun <T : Any> AsmExpression<T>.optimize(): AsmExpression<T> {
     val a = tryEvaluate()
-    return if (a == null) this else AsmConstantExpression(a)
+    return if (a == null) this else AsmConstantExpression(type, algebra, a)
 }
diff --git a/kmath-ast/src/jvmTest/kotlin/scietifik/kmath/ast/asm/TestAsmAlgebras.kt b/kmath-ast/src/jvmTest/kotlin/scietifik/kmath/asm/TestAsmAlgebras.kt
similarity index 98%
rename from kmath-ast/src/jvmTest/kotlin/scietifik/kmath/ast/asm/TestAsmAlgebras.kt
rename to kmath-ast/src/jvmTest/kotlin/scietifik/kmath/asm/TestAsmAlgebras.kt
index 07f895c40..06f776597 100644
--- a/kmath-ast/src/jvmTest/kotlin/scietifik/kmath/ast/asm/TestAsmAlgebras.kt
+++ b/kmath-ast/src/jvmTest/kotlin/scietifik/kmath/asm/TestAsmAlgebras.kt
@@ -1,4 +1,4 @@
-package scietifik.kmath.ast.asm
+package scietifik.kmath.asm
 
 import scientifik.kmath.asm.asmField
 import scientifik.kmath.asm.asmRing
diff --git a/kmath-ast/src/jvmTest/kotlin/scietifik/kmath/ast/asm/TestAsmExpressions.kt b/kmath-ast/src/jvmTest/kotlin/scietifik/kmath/asm/TestAsmExpressions.kt
similarity index 94%
rename from kmath-ast/src/jvmTest/kotlin/scietifik/kmath/ast/asm/TestAsmExpressions.kt
rename to kmath-ast/src/jvmTest/kotlin/scietifik/kmath/asm/TestAsmExpressions.kt
index 2839b8a25..40d990537 100644
--- a/kmath-ast/src/jvmTest/kotlin/scietifik/kmath/ast/asm/TestAsmExpressions.kt
+++ b/kmath-ast/src/jvmTest/kotlin/scietifik/kmath/asm/TestAsmExpressions.kt
@@ -1,4 +1,4 @@
-package scietifik.kmath.ast.asm
+package scietifik.kmath.asm
 
 import scientifik.kmath.asm.asmField
 import scientifik.kmath.expressions.invoke
diff --git a/kmath-core/src/commonMain/kotlin/scientifik/kmath/expressions/FunctionalExpressions.kt b/kmath-core/src/commonMain/kotlin/scientifik/kmath/expressions/FunctionalExpressionAlgebra.kt
similarity index 100%
rename from kmath-core/src/commonMain/kotlin/scientifik/kmath/expressions/FunctionalExpressions.kt
rename to kmath-core/src/commonMain/kotlin/scientifik/kmath/expressions/FunctionalExpressionAlgebra.kt
diff --git a/kmath-core/src/commonTest/kotlin/scientifik/kmath/expressions/ExpressionFieldTest.kt b/kmath-core/src/commonTest/kotlin/scientifik/kmath/expressions/ExpressionFieldTest.kt
index b933f6a17..9eae60efc 100644
--- a/kmath-core/src/commonTest/kotlin/scientifik/kmath/expressions/ExpressionFieldTest.kt
+++ b/kmath-core/src/commonTest/kotlin/scientifik/kmath/expressions/ExpressionFieldTest.kt
@@ -31,7 +31,7 @@ class ExpressionFieldTest {
 
     @Test
     fun separateContext() {
-        fun <T> FunctionalExpressionField<T>.expression(): Expression<T> {
+        fun <T> FunctionalExpressionField<T,*>.expression(): Expression<T> {
             val x = variable("x")
             return x * x + 2 * x + one
         }
@@ -42,7 +42,7 @@ class ExpressionFieldTest {
 
     @Test
     fun valueExpression() {
-        val expressionBuilder: FunctionalExpressionField<Double>.() -> Expression<Double> = {
+        val expressionBuilder: FunctionalExpressionField<Double,*>.() -> Expression<Double> = {
             val x = variable("x")
             x * x + 2 * x + one
         }