Average Error: 0.4 → 0.1
Time: 24.4s
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 r1341329 = 60.0;
        double r1341330 = x;
        double r1341331 = y;
        double r1341332 = r1341330 - r1341331;
        double r1341333 = r1341329 * r1341332;
        double r1341334 = z;
        double r1341335 = t;
        double r1341336 = r1341334 - r1341335;
        double r1341337 = r1341333 / r1341336;
        double r1341338 = a;
        double r1341339 = 120.0;
        double r1341340 = r1341338 * r1341339;
        double r1341341 = r1341337 + r1341340;
        return r1341341;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r1341342 = 60.0;
        double r1341343 = x;
        double r1341344 = y;
        double r1341345 = r1341343 - r1341344;
        double r1341346 = z;
        double r1341347 = t;
        double r1341348 = r1341346 - r1341347;
        double r1341349 = r1341345 / r1341348;
        double r1341350 = r1341342 * r1341349;
        double r1341351 = a;
        double r1341352 = 120.0;
        double r1341353 = r1341351 * r1341352;
        double r1341354 = r1341350 + r1341353;
        return r1341354;
}

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

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 2019199 
(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)))