Average Error: 0.0 → 0.0
Time: 18.0s
Precision: 64
\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]
↓
\[t + \left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right)\]
\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t
↓
t + \left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right)
double f(double x, double y, double z, double t) {
        double r34624312 = 1.0;
        double r34624313 = 8.0;
        double r34624314 = r34624312 / r34624313;
        double r34624315 = x;
        double r34624316 = r34624314 * r34624315;
        double r34624317 = y;
        double r34624318 = z;
        double r34624319 = r34624317 * r34624318;
        double r34624320 = 2.0;
        double r34624321 = r34624319 / r34624320;
        double r34624322 = r34624316 - r34624321;
        double r34624323 = t;
        double r34624324 = r34624322 + r34624323;
        return r34624324;
}
↓
double f(double x, double y, double z, double t) {
        double r34624325 = t;
        double r34624326 = 1.0;
        double r34624327 = 8.0;
        double r34624328 = r34624326 / r34624327;
        double r34624329 = x;
        double r34624330 = r34624328 * r34624329;
        double r34624331 = y;
        double r34624332 = z;
        double r34624333 = r34624331 * r34624332;
        double r34624334 = 2.0;
        double r34624335 = r34624333 / r34624334;
        double r34624336 = r34624330 - r34624335;
        double r34624337 = r34624325 + r34624336;
        return r34624337;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x y z t)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, B"

  :herbie-target
  (- (+ (/ x 8.0) t) (* (/ z 2.0) y))

  (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))