Average Error: 0.4 → 0.2
Time: 16.7s
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 r653444 = 60.0;
        double r653445 = x;
        double r653446 = y;
        double r653447 = r653445 - r653446;
        double r653448 = r653444 * r653447;
        double r653449 = z;
        double r653450 = t;
        double r653451 = r653449 - r653450;
        double r653452 = r653448 / r653451;
        double r653453 = a;
        double r653454 = 120.0;
        double r653455 = r653453 * r653454;
        double r653456 = r653452 + r653455;
        return r653456;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r653457 = 60.0;
        double r653458 = z;
        double r653459 = t;
        double r653460 = r653458 - r653459;
        double r653461 = x;
        double r653462 = y;
        double r653463 = r653461 - r653462;
        double r653464 = r653460 / r653463;
        double r653465 = r653457 / r653464;
        double r653466 = a;
        double r653467 = 120.0;
        double r653468 = r653466 * r653467;
        double r653469 = r653465 + r653468;
        return r653469;
}

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

Original0.4
Target0.2
Herbie0.2
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

Derivation

  1. Initial program 0.4

    \[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
  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 2019194 
(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)))