Average Error: 0.5 → 0.1
Time: 4.7s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[60 \cdot \frac{x - y}{z - t} + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
60 \cdot \frac{x - y}{z - t} + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r842008 = 60.0;
        double r842009 = x;
        double r842010 = y;
        double r842011 = r842009 - r842010;
        double r842012 = r842008 * r842011;
        double r842013 = z;
        double r842014 = t;
        double r842015 = r842013 - r842014;
        double r842016 = r842012 / r842015;
        double r842017 = a;
        double r842018 = 120.0;
        double r842019 = r842017 * r842018;
        double r842020 = r842016 + r842019;
        return r842020;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r842021 = 60.0;
        double r842022 = x;
        double r842023 = y;
        double r842024 = r842022 - r842023;
        double r842025 = z;
        double r842026 = t;
        double r842027 = r842025 - r842026;
        double r842028 = r842024 / r842027;
        double r842029 = r842021 * r842028;
        double r842030 = a;
        double r842031 = 120.0;
        double r842032 = r842030 * r842031;
        double r842033 = r842029 + r842032;
        return r842033;
}

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 *-un-lft-identity0.5

    \[\leadsto \frac{60 \cdot \left(x - y\right)}{\color{blue}{1 \cdot \left(z - t\right)}} + a \cdot 120\]

  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

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

Reproduce

herbie shell --seed 2020036 
(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)))