Average Error: 0.5 → 0.1
Time: 18.3s
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 r1505506 = 60.0;
        double r1505507 = x;
        double r1505508 = y;
        double r1505509 = r1505507 - r1505508;
        double r1505510 = r1505506 * r1505509;
        double r1505511 = z;
        double r1505512 = t;
        double r1505513 = r1505511 - r1505512;
        double r1505514 = r1505510 / r1505513;
        double r1505515 = a;
        double r1505516 = 120.0;
        double r1505517 = r1505515 * r1505516;
        double r1505518 = r1505514 + r1505517;
        return r1505518;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r1505519 = 60.0;
        double r1505520 = x;
        double r1505521 = y;
        double r1505522 = r1505520 - r1505521;
        double r1505523 = z;
        double r1505524 = t;
        double r1505525 = r1505523 - r1505524;
        double r1505526 = r1505522 / r1505525;
        double r1505527 = r1505519 * r1505526;
        double r1505528 = a;
        double r1505529 = 120.0;
        double r1505530 = r1505528 * r1505529;
        double r1505531 = r1505527 + r1505530;
        return r1505531;
}

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 2019198 
(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)))