Average Error: 13.4 → 0.0
Time: 8.1s
Precision: 64
\[\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r25361554 = x;
        double r25361555 = y;
        double r25361556 = r25361554 * r25361555;
        double r25361557 = r25361555 * r25361555;
        double r25361558 = r25361556 - r25361557;
        double r25361559 = r25361558 + r25361557;
        double r25361560 = z;
        double r25361561 = r25361555 * r25361560;
        double r25361562 = r25361559 - r25361561;
        return r25361562;
}
↓
double f(double x, double y, double z) {
        double r25361563 = x;
        double r25361564 = z;
        double r25361565 = r25361563 - r25361564;
        double r25361566 = y;
        double r25361567 = r25361565 * r25361566;
        return r25361567;
}

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

Original13.4
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 13.4

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019179 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, D"

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

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