Average Error: 11.6 → 2.2
Time: 43.6s
Precision: 64
\[\frac{x \cdot \left(y - z\right)}{t - z}\]
↓
\[\frac{y - z}{t - z} \cdot x\]
\frac{x \cdot \left(y - z\right)}{t - z}
↓
\frac{y - z}{t - z} \cdot x
double f(double x, double y, double z, double t) {
        double r25803122 = x;
        double r25803123 = y;
        double r25803124 = z;
        double r25803125 = r25803123 - r25803124;
        double r25803126 = r25803122 * r25803125;
        double r25803127 = t;
        double r25803128 = r25803127 - r25803124;
        double r25803129 = r25803126 / r25803128;
        return r25803129;
}
↓
double f(double x, double y, double z, double t) {
        double r25803130 = y;
        double r25803131 = z;
        double r25803132 = r25803130 - r25803131;
        double r25803133 = t;
        double r25803134 = r25803133 - r25803131;
        double r25803135 = r25803132 / r25803134;
        double r25803136 = x;
        double r25803137 = r25803135 * r25803136;
        return r25803137;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original11.6
Target2.2
Herbie2.2
\[\frac{x}{\frac{t - z}{y - z}}\]

Derivation

  1. Initial program 11.6

    \[\frac{x \cdot \left(y - z\right)}{t - z}\]
  2. Using strategy rm

  3. Applied *-un-lft-identity11.6

    \[\leadsto \frac{x \cdot \left(y - z\right)}{\color{blue}{1 \cdot \left(t - z\right)}}\]

  4. Applied times-frac2.2

    \[\leadsto \color{blue}{\frac{x}{1} \cdot \frac{y - z}{t - z}}\]

  5. Simplified2.2

    \[\leadsto \color{blue}{x} \cdot \frac{y - z}{t - z}\]

  6. Final simplification2.2

    \[\leadsto \frac{y - z}{t - z} \cdot x\]

Reproduce

herbie shell --seed 2019200 
(FPCore (x y z t)
  :name "Graphics.Rendering.Chart.Plot.AreaSpots:renderAreaSpots4D from Chart-1.5.3"

  :herbie-target
  (/ x (/ (- t z) (- y z)))

  (/ (* x (- y z)) (- t z)))