Average Error: 0.0 → 0.0
Time: 8.6s
Precision: 64
\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]
↓
\[\frac{1}{8} \cdot x - \left(\frac{y \cdot z}{2} - t\right)\]
\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t
↓
\frac{1}{8} \cdot x - \left(\frac{y \cdot z}{2} - t\right)
double f(double x, double y, double z, double t) {
        double r969717 = 1.0;
        double r969718 = 8.0;
        double r969719 = r969717 / r969718;
        double r969720 = x;
        double r969721 = r969719 * r969720;
        double r969722 = y;
        double r969723 = z;
        double r969724 = r969722 * r969723;
        double r969725 = 2.0;
        double r969726 = r969724 / r969725;
        double r969727 = r969721 - r969726;
        double r969728 = t;
        double r969729 = r969727 + r969728;
        return r969729;
}
↓
double f(double x, double y, double z, double t) {
        double r969730 = 1.0;
        double r969731 = 8.0;
        double r969732 = r969730 / r969731;
        double r969733 = x;
        double r969734 = r969732 * r969733;
        double r969735 = y;
        double r969736 = z;
        double r969737 = r969735 * r969736;
        double r969738 = 2.0;
        double r969739 = r969737 / r969738;
        double r969740 = t;
        double r969741 = r969739 - r969740;
        double r969742 = r969734 - r969741;
        return r969742;
}

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 associate-+l-0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2020042 
(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))