Average Error: 0.4 → 0.2
Time: 9.8s
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 r841401 = 60.0;
        double r841402 = x;
        double r841403 = y;
        double r841404 = r841402 - r841403;
        double r841405 = r841401 * r841404;
        double r841406 = z;
        double r841407 = t;
        double r841408 = r841406 - r841407;
        double r841409 = r841405 / r841408;
        double r841410 = a;
        double r841411 = 120.0;
        double r841412 = r841410 * r841411;
        double r841413 = r841409 + r841412;
        return r841413;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r841414 = 60.0;
        double r841415 = z;
        double r841416 = t;
        double r841417 = r841415 - r841416;
        double r841418 = x;
        double r841419 = y;
        double r841420 = r841418 - r841419;
        double r841421 = r841417 / r841420;
        double r841422 = r841414 / r841421;
        double r841423 = a;
        double r841424 = 120.0;
        double r841425 = r841423 * r841424;
        double r841426 = r841422 + r841425;
        return r841426;
}

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 2020047 
(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)))