Average Error: 17.5 → 0.0
Time: 2.2s
Precision: 64
\[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r511964 = x;
        double r511965 = y;
        double r511966 = r511964 * r511965;
        double r511967 = r511965 * r511965;
        double r511968 = r511966 + r511967;
        double r511969 = z;
        double r511970 = r511965 * r511969;
        double r511971 = r511968 - r511970;
        double r511972 = r511971 - r511967;
        return r511972;
}
↓
double f(double x, double y, double z) {
        double r511973 = y;
        double r511974 = x;
        double r511975 = z;
        double r511976 = r511974 - r511975;
        double r511977 = r511973 * r511976;
        return r511977;
}

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

Original17.5
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.5

    \[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]

  2. Simplified0.0

    \[\leadsto \color{blue}{y \cdot \left(x - z\right)}\]

  3. Final simplification0.0

    \[\leadsto y \cdot \left(x - z\right)\]

Reproduce

herbie shell --seed 2020100 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"
  :precision binary64

  :herbie-target
  (* (- x z) y)

  (- (- (+ (* x y) (* y y)) (* y z)) (* y y)))