Average Error: 0.4 → 0.1
Time: 4.5s
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 r746248 = 60.0;
        double r746249 = x;
        double r746250 = y;
        double r746251 = r746249 - r746250;
        double r746252 = r746248 * r746251;
        double r746253 = z;
        double r746254 = t;
        double r746255 = r746253 - r746254;
        double r746256 = r746252 / r746255;
        double r746257 = a;
        double r746258 = 120.0;
        double r746259 = r746257 * r746258;
        double r746260 = r746256 + r746259;
        return r746260;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r746261 = 60.0;
        double r746262 = z;
        double r746263 = t;
        double r746264 = r746262 - r746263;
        double r746265 = x;
        double r746266 = y;
        double r746267 = r746265 - r746266;
        double r746268 = r746264 / r746267;
        double r746269 = r746261 / r746268;
        double r746270 = a;
        double r746271 = 120.0;
        double r746272 = r746270 * r746271;
        double r746273 = r746269 + r746272;
        return r746273;
}

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 associate-/l*0.1

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

  4. Final simplification0.1

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

Reproduce

herbie shell --seed 2020002 
(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)))