Average Error: 0.4 → 0.1
Time: 24.8s
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 r41227943 = 60.0;
        double r41227944 = x;
        double r41227945 = y;
        double r41227946 = r41227944 - r41227945;
        double r41227947 = r41227943 * r41227946;
        double r41227948 = z;
        double r41227949 = t;
        double r41227950 = r41227948 - r41227949;
        double r41227951 = r41227947 / r41227950;
        double r41227952 = a;
        double r41227953 = 120.0;
        double r41227954 = r41227952 * r41227953;
        double r41227955 = r41227951 + r41227954;
        return r41227955;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r41227956 = x;
        double r41227957 = y;
        double r41227958 = r41227956 - r41227957;
        double r41227959 = z;
        double r41227960 = t;
        double r41227961 = r41227959 - r41227960;
        double r41227962 = r41227958 / r41227961;
        double r41227963 = 60.0;
        double r41227964 = r41227962 * r41227963;
        double r41227965 = a;
        double r41227966 = 120.0;
        double r41227967 = r41227965 * r41227966;
        double r41227968 = r41227964 + r41227967;
        return r41227968;
}

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 2019169 
(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)))