Average Error: 17.4 → 0.0
Time: 8.3s
Precision: 64
\[\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r25232605 = x;
        double r25232606 = y;
        double r25232607 = r25232605 * r25232606;
        double r25232608 = z;
        double r25232609 = r25232606 * r25232608;
        double r25232610 = r25232607 - r25232609;
        double r25232611 = r25232606 * r25232606;
        double r25232612 = r25232610 - r25232611;
        double r25232613 = r25232612 + r25232611;
        return r25232613;
}
↓
double f(double x, double y, double z) {
        double r25232614 = x;
        double r25232615 = z;
        double r25232616 = r25232614 - r25232615;
        double r25232617 = y;
        double r25232618 = r25232616 * r25232617;
        return r25232618;
}

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

Original17.4
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.4

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

  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 2019174 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, B"

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

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