Average Error: 0.5 → 0.1
Time: 5.3s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\frac{60}{z - t} \cdot \left(x - y\right) + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\frac{60}{z - t} \cdot \left(x - y\right) + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r971225 = 60.0;
        double r971226 = x;
        double r971227 = y;
        double r971228 = r971226 - r971227;
        double r971229 = r971225 * r971228;
        double r971230 = z;
        double r971231 = t;
        double r971232 = r971230 - r971231;
        double r971233 = r971229 / r971232;
        double r971234 = a;
        double r971235 = 120.0;
        double r971236 = r971234 * r971235;
        double r971237 = r971233 + r971236;
        return r971237;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r971238 = 60.0;
        double r971239 = z;
        double r971240 = t;
        double r971241 = r971239 - r971240;
        double r971242 = r971238 / r971241;
        double r971243 = x;
        double r971244 = y;
        double r971245 = r971243 - r971244;
        double r971246 = r971242 * r971245;
        double r971247 = a;
        double r971248 = 120.0;
        double r971249 = r971247 * r971248;
        double r971250 = r971246 + r971249;
        return r971250;
}

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 associate-/l*0.2

    \[\leadsto \color{blue}{\frac{60}{\frac{z - t}{x - y}}} + a \cdot 120\]
  4. Using strategy rm

  5. Applied associate-/r/0.1

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

  6. Final simplification0.1

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

Reproduce

herbie shell --seed 2020083 
(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)))