Average Error: 0.4 → 0.1
Time: 22.2s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[\frac{x - y}{z - t} \cdot 60 + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
\frac{x - y}{z - t} \cdot 60 + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r40001156 = 60.0;
        double r40001157 = x;
        double r40001158 = y;
        double r40001159 = r40001157 - r40001158;
        double r40001160 = r40001156 * r40001159;
        double r40001161 = z;
        double r40001162 = t;
        double r40001163 = r40001161 - r40001162;
        double r40001164 = r40001160 / r40001163;
        double r40001165 = a;
        double r40001166 = 120.0;
        double r40001167 = r40001165 * r40001166;
        double r40001168 = r40001164 + r40001167;
        return r40001168;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r40001169 = x;
        double r40001170 = y;
        double r40001171 = r40001169 - r40001170;
        double r40001172 = z;
        double r40001173 = t;
        double r40001174 = r40001172 - r40001173;
        double r40001175 = r40001171 / r40001174;
        double r40001176 = 60.0;
        double r40001177 = r40001175 * r40001176;
        double r40001178 = a;
        double r40001179 = 120.0;
        double r40001180 = r40001178 * r40001179;
        double r40001181 = r40001177 + r40001180;
        return r40001181;
}

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

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

Reproduce

herbie shell --seed 2019172 
(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)))