Average Error: 0.0 → 0.0
Time: 4.9s
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 r743411 = 1.0;
        double r743412 = 8.0;
        double r743413 = r743411 / r743412;
        double r743414 = x;
        double r743415 = r743413 * r743414;
        double r743416 = y;
        double r743417 = z;
        double r743418 = r743416 * r743417;
        double r743419 = 2.0;
        double r743420 = r743418 / r743419;
        double r743421 = r743415 - r743420;
        double r743422 = t;
        double r743423 = r743421 + r743422;
        return r743423;
}
↓
double f(double x, double y, double z, double t) {
        double r743424 = 1.0;
        double r743425 = 8.0;
        double r743426 = r743424 / r743425;
        double r743427 = x;
        double r743428 = r743426 * r743427;
        double r743429 = y;
        double r743430 = z;
        double r743431 = r743429 * r743430;
        double r743432 = 2.0;
        double r743433 = r743431 / r743432;
        double r743434 = t;
        double r743435 = r743433 - r743434;
        double r743436 = r743428 - r743435;
        return r743436;
}

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))