Average Error: 0.4 → 0.2
Time: 7.4s
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 r776308 = 60.0;
        double r776309 = x;
        double r776310 = y;
        double r776311 = r776309 - r776310;
        double r776312 = r776308 * r776311;
        double r776313 = z;
        double r776314 = t;
        double r776315 = r776313 - r776314;
        double r776316 = r776312 / r776315;
        double r776317 = a;
        double r776318 = 120.0;
        double r776319 = r776317 * r776318;
        double r776320 = r776316 + r776319;
        return r776320;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r776321 = 60.0;
        double r776322 = z;
        double r776323 = t;
        double r776324 = r776322 - r776323;
        double r776325 = x;
        double r776326 = y;
        double r776327 = r776325 - r776326;
        double r776328 = r776324 / r776327;
        double r776329 = r776321 / r776328;
        double r776330 = a;
        double r776331 = 120.0;
        double r776332 = r776330 * r776331;
        double r776333 = r776329 + r776332;
        return r776333;
}

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 2019356 
(FPCore (x y z t a)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, B"
  :precision binary64

  :herbie-target
  (+ (/ 60 (/ (- z t) (- x y))) (* a 120))

  (+ (/ (* 60 (- x y)) (- z t)) (* a 120)))