Average Error: 0.4 → 0.1
Time: 14.6s
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 r52014656 = 60.0;
        double r52014657 = x;
        double r52014658 = y;
        double r52014659 = r52014657 - r52014658;
        double r52014660 = r52014656 * r52014659;
        double r52014661 = z;
        double r52014662 = t;
        double r52014663 = r52014661 - r52014662;
        double r52014664 = r52014660 / r52014663;
        double r52014665 = a;
        double r52014666 = 120.0;
        double r52014667 = r52014665 * r52014666;
        double r52014668 = r52014664 + r52014667;
        return r52014668;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r52014669 = x;
        double r52014670 = y;
        double r52014671 = r52014669 - r52014670;
        double r52014672 = z;
        double r52014673 = t;
        double r52014674 = r52014672 - r52014673;
        double r52014675 = r52014671 / r52014674;
        double r52014676 = 60.0;
        double r52014677 = r52014675 * r52014676;
        double r52014678 = a;
        double r52014679 = 120.0;
        double r52014680 = r52014678 * r52014679;
        double r52014681 = r52014677 + r52014680;
        return r52014681;
}

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 *-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 2019171 
(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)))