Average Error: 0.4 → 0.2
Time: 21.6s
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 r41082287 = 60.0;
        double r41082288 = x;
        double r41082289 = y;
        double r41082290 = r41082288 - r41082289;
        double r41082291 = r41082287 * r41082290;
        double r41082292 = z;
        double r41082293 = t;
        double r41082294 = r41082292 - r41082293;
        double r41082295 = r41082291 / r41082294;
        double r41082296 = a;
        double r41082297 = 120.0;
        double r41082298 = r41082296 * r41082297;
        double r41082299 = r41082295 + r41082298;
        return r41082299;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r41082300 = 60.0;
        double r41082301 = z;
        double r41082302 = t;
        double r41082303 = r41082301 - r41082302;
        double r41082304 = x;
        double r41082305 = y;
        double r41082306 = r41082304 - r41082305;
        double r41082307 = r41082303 / r41082306;
        double r41082308 = r41082300 / r41082307;
        double r41082309 = a;
        double r41082310 = 120.0;
        double r41082311 = r41082309 * r41082310;
        double r41082312 = r41082308 + r41082311;
        return r41082312;
}

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 2019170 
(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)))