Average Error: 5.9 → 5.9
Time: 742.0ms
Precision: binary64
Cost: 320
\[\frac{x \cdot y}{z}\]
↓
\[\frac{x \cdot y}{z}\]
\frac{x \cdot y}{z}
↓
\frac{x \cdot y}{z}
(FPCore (x y z) :precision binary64 (/ (* x y) z))
↓
(FPCore (x y z) :precision binary64 (/ (* x y) z))
double code(double x, double y, double z) {
	return (x * y) / z;
}
↓
double code(double x, double y, double z) {
	return (x * y) / z;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.9
Target6.1
Herbie5.9
\[\begin{array}{l} \mathbf{if}\;z < -4.262230790519429 \cdot 10^{-138}:\\ \;\;\;\;\frac{x \cdot y}{z}\\ \mathbf{elif}\;z < 1.7042130660650472 \cdot 10^{-164}:\\ \;\;\;\;\frac{x}{\frac{z}{y}}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{z} \cdot y\\ \end{array}\]

Derivation

  1. Initial program 5.9

    \[\frac{x \cdot y}{z}\]

Reproduce

herbie shell --seed 2021042 
(FPCore (x y z)
  :name "Diagrams.Solve.Tridiagonal:solveCyclicTriDiagonal from diagrams-solve-0.1, A"
  :precision binary64

  :herbie-target
  (if (< z -4.262230790519429e-138) (/ (* x y) z) (if (< z 1.7042130660650472e-164) (/ x (/ z y)) (* (/ x z) y)))

  (/ (* x y) z))