diff --git a/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/BufferedTensor.kt b/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/BufferedTensor.kt
index 9a4d13d2c..9e393f1a8 100644
--- a/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/BufferedTensor.kt
+++ b/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/BufferedTensor.kt
@@ -4,7 +4,6 @@ import space.kscience.kmath.structures.*
 import space.kscience.kmath.tensors.TensorStructure
 
 
-
 public open class BufferedTensor<T>(
     override val shape: IntArray,
     public val buffer: MutableBuffer<T>,
@@ -70,6 +69,9 @@ public class DoubleTensor internal constructor(
 {
     internal constructor(bufferedTensor: BufferedTensor<Double>):
             this(bufferedTensor.shape, bufferedTensor.buffer.array(), bufferedTensor.bufferStart)
+
+    override fun toString(): String = toPrettyString()
+
 }
 
 internal fun BufferedTensor<Int>.asTensor(): IntTensor = IntTensor(this)
diff --git a/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/linutils.kt b/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/linutils.kt
index ee159b614..ba5e0caaf 100644
--- a/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/linutils.kt
+++ b/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/linutils.kt
@@ -190,9 +190,7 @@ internal inline fun choleskyHelper(
     }
 }
 
-internal inline fun luMatrixDet(luTensor: MutableStructure2D<Double>, pivotsTensor: MutableStructure1D<Int>): Double {
-    val lu = luTensor.as2D()
-    val pivots = pivotsTensor.as1D()
+internal inline fun luMatrixDet(lu: MutableStructure2D<Double>, pivots: MutableStructure1D<Int>): Double {
     if (lu[0, 0] == 0.0) {
         return 0.0
     }
diff --git a/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/utils.kt b/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/utils.kt
index e67591c9e..daab79016 100644
--- a/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/utils.kt
+++ b/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/utils.kt
@@ -1,11 +1,11 @@
 package space.kscience.kmath.tensors.core
 
+import space.kscience.kmath.misc.UnstableKMathAPI
 import space.kscience.kmath.nd.as1D
-import space.kscience.kmath.nd.as2D
 import space.kscience.kmath.samplers.GaussianSampler
 import space.kscience.kmath.stat.RandomGenerator
 import space.kscience.kmath.structures.*
-import kotlin.math.sqrt
+import kotlin.math.*
 
 /**
  * Returns a reference to [IntArray] containing all of the elements of this [Buffer].
@@ -61,7 +61,25 @@ internal inline fun minusIndexFrom(n: Int, i: Int) : Int = if (i >= 0) i else {
 
 internal inline fun <T> BufferedTensor<T>.minusIndex(i: Int): Int =  minusIndexFrom(this.linearStructure.dim, i)
 
-public fun DoubleTensor.toPrettyString(): String = buildString {
+internal inline fun format(value: Double, digits: Int = 4): String {
+    val ten = 10.0
+    val approxOrder = ceil(log10(abs(value))).toInt()
+    val order = if(
+        ((value % ten) == 0.0) or
+        (value == 1.0) or
+        ((1/value) % ten == 0.0)) approxOrder else approxOrder - 1
+
+    val lead = value / ten.pow(order)
+    val leadDisplay = round(lead*ten.pow(digits)) / ten.pow(digits)
+    val orderDisplay = if(order >= 0) "+$order" else "$order"
+    val valueDisplay = "${leadDisplay}E$orderDisplay"
+    val res = if(value < 0.0) valueDisplay else " $valueDisplay"
+    val fLength = digits + 6
+    val endSpace = " ".repeat(fLength - res.length)
+    return "$res$endSpace"
+}
+
+internal inline fun DoubleTensor.toPrettyString(): String = buildString {
     var offset = 0
     val shape = this@toPrettyString.shape
     val linearStructure = this@toPrettyString.linearStructure
@@ -79,12 +97,9 @@ public fun DoubleTensor.toPrettyString(): String = buildString {
             append("[")
             charOffset += 1
         }
-        // todo refactor
-        val values = mutableListOf<Double>()
-        for (i in 0 until vectorSize) {
-            values.add(vector[intArrayOf(i)])
-        }
-        // todo apply exp formatting
+
+        val values = vector.as1D().toMutableList().map(::format)
+
         append(values.joinToString(", "))
         append("]")
         charOffset -= 1
diff --git a/kmath-tensors/src/jvmMain/kotlin/tensorPrettyPrinter.kt b/kmath-tensors/src/jvmMain/kotlin/tensorPrettyPrinter.kt
index 669a5494b..d3ce5933e 100644
--- a/kmath-tensors/src/jvmMain/kotlin/tensorPrettyPrinter.kt
+++ b/kmath-tensors/src/jvmMain/kotlin/tensorPrettyPrinter.kt
@@ -2,7 +2,7 @@
 import space.kscience.kmath.tensors.core.DoubleTensor
 import space.kscience.kmath.tensors.core.vectorSequence
 import java.lang.StringBuilder
-
+/*
 internal fun format(value: Double, digits: Int = 4): String {
     val res = "%.${digits}e".format(value).replace(',', '.')
     if (value < 0.0) {
@@ -59,6 +59,6 @@ public fun DoubleTensor.toPrettyString(): String {
     }
     return builder.toString()
 }
-
+*/