Average Error: 0.4 → 0.1
Time: 15.2s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[60 \cdot \frac{x - y}{z - t} + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
60 \cdot \frac{x - y}{z - t} + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r528244 = 60.0;
        double r528245 = x;
        double r528246 = y;
        double r528247 = r528245 - r528246;
        double r528248 = r528244 * r528247;
        double r528249 = z;
        double r528250 = t;
        double r528251 = r528249 - r528250;
        double r528252 = r528248 / r528251;
        double r528253 = a;
        double r528254 = 120.0;
        double r528255 = r528253 * r528254;
        double r528256 = r528252 + r528255;
        return r528256;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r528257 = 60.0;
        double r528258 = x;
        double r528259 = y;
        double r528260 = r528258 - r528259;
        double r528261 = z;
        double r528262 = t;
        double r528263 = r528261 - r528262;
        double r528264 = r528260 / r528263;
        double r528265 = r528257 * r528264;
        double r528266 = a;
        double r528267 = 120.0;
        double r528268 = r528266 * r528267;
        double r528269 = r528265 + r528268;
        return r528269;
}

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
Target0.1
Herbie0.1
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

Derivation

  1. Initial program 0.4

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

  3. Applied *-un-lft-identity0.4

    \[\leadsto \frac{60 \cdot \left(x - y\right)}{\color{blue}{1 \cdot \left(z - t\right)}} + a \cdot 120\]

  4. Applied times-frac0.1

    \[\leadsto \color{blue}{\frac{60}{1} \cdot \frac{x - y}{z - t}} + a \cdot 120\]

  5. Simplified0.1

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

  6. Final simplification0.1

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

Reproduce

herbie shell --seed 2019306 
(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)))