Average Error: 17.4 → 0.0
Time: 3.0s
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 r687204 = x;
        double r687205 = y;
        double r687206 = r687204 * r687205;
        double r687207 = r687205 * r687205;
        double r687208 = r687206 + r687207;
        double r687209 = z;
        double r687210 = r687205 * r687209;
        double r687211 = r687208 - r687210;
        double r687212 = r687211 - r687207;
        return r687212;
}
↓
double f(double x, double y, double z) {
        double r687213 = y;
        double r687214 = x;
        double r687215 = z;
        double r687216 = r687214 - r687215;
        double r687217 = r687213 * r687216;
        return r687217;
}

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

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

  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 2020056 
(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)))