Average Error: 0.0 → 0.0
Time: 3.0s
Precision: 64
\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]
↓
\[\left(\frac{1}{8} \cdot x - y \cdot \frac{z}{2}\right) + t\]
\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t
↓
\left(\frac{1}{8} \cdot x - y \cdot \frac{z}{2}\right) + t
double f(double x, double y, double z, double t) {
        double r749132 = 1.0;
        double r749133 = 8.0;
        double r749134 = r749132 / r749133;
        double r749135 = x;
        double r749136 = r749134 * r749135;
        double r749137 = y;
        double r749138 = z;
        double r749139 = r749137 * r749138;
        double r749140 = 2.0;
        double r749141 = r749139 / r749140;
        double r749142 = r749136 - r749141;
        double r749143 = t;
        double r749144 = r749142 + r749143;
        return r749144;
}
↓
double f(double x, double y, double z, double t) {
        double r749145 = 1.0;
        double r749146 = 8.0;
        double r749147 = r749145 / r749146;
        double r749148 = x;
        double r749149 = r749147 * r749148;
        double r749150 = y;
        double r749151 = z;
        double r749152 = 2.0;
        double r749153 = r749151 / r749152;
        double r749154 = r749150 * r749153;
        double r749155 = r749149 - r749154;
        double r749156 = t;
        double r749157 = r749155 + r749156;
        return r749157;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[\left(\frac{x}{8} + t\right) - \frac{z}{2} \cdot y\]

Derivation

  1. Initial program 0.0

    \[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]
  2. Using strategy rm

  3. Applied *-un-lft-identity0.0

    \[\leadsto \left(\frac{1}{8} \cdot x - \frac{y \cdot z}{\color{blue}{1 \cdot 2}}\right) + t\]

  4. Applied times-frac0.0

    \[\leadsto \left(\frac{1}{8} \cdot x - \color{blue}{\frac{y}{1} \cdot \frac{z}{2}}\right) + t\]

  5. Simplified0.0

    \[\leadsto \left(\frac{1}{8} \cdot x - \color{blue}{y} \cdot \frac{z}{2}\right) + t\]

  6. Final simplification0.0

    \[\leadsto \left(\frac{1}{8} \cdot x - y \cdot \frac{z}{2}\right) + t\]

Reproduce

herbie shell --seed 2020049 
(FPCore (x y z t)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, B"
  :precision binary64

  :herbie-target
  (- (+ (/ x 8) t) (* (/ z 2) y))

  (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t))