Average Error: 0.0 → 0.0
Time: 18.2s
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 r21619062 = 1.0;
        double r21619063 = 8.0;
        double r21619064 = r21619062 / r21619063;
        double r21619065 = x;
        double r21619066 = r21619064 * r21619065;
        double r21619067 = y;
        double r21619068 = z;
        double r21619069 = r21619067 * r21619068;
        double r21619070 = 2.0;
        double r21619071 = r21619069 / r21619070;
        double r21619072 = r21619066 - r21619071;
        double r21619073 = t;
        double r21619074 = r21619072 + r21619073;
        return r21619074;
}
↓
double f(double x, double y, double z, double t) {
        double r21619075 = t;
        double r21619076 = 1.0;
        double r21619077 = 8.0;
        double r21619078 = r21619076 / r21619077;
        double r21619079 = x;
        double r21619080 = r21619078 * r21619079;
        double r21619081 = y;
        double r21619082 = z;
        double r21619083 = r21619081 * r21619082;
        double r21619084 = 2.0;
        double r21619085 = r21619083 / r21619084;
        double r21619086 = r21619080 - r21619085;
        double r21619087 = r21619075 + r21619086;
        return r21619087;
}

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 2019179 
(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))