Average Error: 0.5 → 0.1
Time: 4.1s
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 r871266 = 60.0;
        double r871267 = x;
        double r871268 = y;
        double r871269 = r871267 - r871268;
        double r871270 = r871266 * r871269;
        double r871271 = z;
        double r871272 = t;
        double r871273 = r871271 - r871272;
        double r871274 = r871270 / r871273;
        double r871275 = a;
        double r871276 = 120.0;
        double r871277 = r871275 * r871276;
        double r871278 = r871274 + r871277;
        return r871278;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r871279 = 60.0;
        double r871280 = x;
        double r871281 = y;
        double r871282 = r871280 - r871281;
        double r871283 = z;
        double r871284 = t;
        double r871285 = r871283 - r871284;
        double r871286 = r871282 / r871285;
        double r871287 = r871279 * r871286;
        double r871288 = a;
        double r871289 = 120.0;
        double r871290 = r871288 * r871289;
        double r871291 = r871287 + r871290;
        return r871291;
}

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

Derivation

  1. Initial program 0.5

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

  3. Applied *-un-lft-identity0.5

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

  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 2020036 
(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)))