Average Error: 0.5 → 0.2
Time: 17.5s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\frac{60}{\frac{z - t}{x - y}} + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r42521668 = 60.0;
        double r42521669 = x;
        double r42521670 = y;
        double r42521671 = r42521669 - r42521670;
        double r42521672 = r42521668 * r42521671;
        double r42521673 = z;
        double r42521674 = t;
        double r42521675 = r42521673 - r42521674;
        double r42521676 = r42521672 / r42521675;
        double r42521677 = a;
        double r42521678 = 120.0;
        double r42521679 = r42521677 * r42521678;
        double r42521680 = r42521676 + r42521679;
        return r42521680;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r42521681 = 60.0;
        double r42521682 = z;
        double r42521683 = t;
        double r42521684 = r42521682 - r42521683;
        double r42521685 = x;
        double r42521686 = y;
        double r42521687 = r42521685 - r42521686;
        double r42521688 = r42521684 / r42521687;
        double r42521689 = r42521681 / r42521688;
        double r42521690 = a;
        double r42521691 = 120.0;
        double r42521692 = r42521690 * r42521691;
        double r42521693 = r42521689 + r42521692;
        return r42521693;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.5
Target0.2
Herbie0.2
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

Derivation

  1. Initial program 0.5

    \[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
  2. Using strategy rm

  3. Applied associate-/l*0.2

    \[\leadsto \color{blue}{\frac{60}{\frac{z - t}{x - y}}} + a \cdot 120\]

  4. Final simplification0.2

    \[\leadsto \frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

Reproduce

herbie shell --seed 2019179 
(FPCore (x y z t a)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, B"

  :herbie-target
  (+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))

  (+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0)))