Average Error: 18.0 → 0.0
Time: 14.1s
Precision: 64
\[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r26123110 = x;
        double r26123111 = y;
        double r26123112 = r26123110 * r26123111;
        double r26123113 = r26123111 * r26123111;
        double r26123114 = r26123112 + r26123113;
        double r26123115 = z;
        double r26123116 = r26123111 * r26123115;
        double r26123117 = r26123114 - r26123116;
        double r26123118 = r26123117 - r26123113;
        return r26123118;
}
↓
double f(double x, double y, double z) {
        double r26123119 = x;
        double r26123120 = z;
        double r26123121 = r26123119 - r26123120;
        double r26123122 = y;
        double r26123123 = r26123121 * r26123122;
        return r26123123;
}

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

Original18.0
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 18.0

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019172 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"

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

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