Average Error: 0.4 → 0.1
Time: 44.5s
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 r41570612 = 60.0;
        double r41570613 = x;
        double r41570614 = y;
        double r41570615 = r41570613 - r41570614;
        double r41570616 = r41570612 * r41570615;
        double r41570617 = z;
        double r41570618 = t;
        double r41570619 = r41570617 - r41570618;
        double r41570620 = r41570616 / r41570619;
        double r41570621 = a;
        double r41570622 = 120.0;
        double r41570623 = r41570621 * r41570622;
        double r41570624 = r41570620 + r41570623;
        return r41570624;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r41570625 = x;
        double r41570626 = y;
        double r41570627 = r41570625 - r41570626;
        double r41570628 = z;
        double r41570629 = t;
        double r41570630 = r41570628 - r41570629;
        double r41570631 = r41570627 / r41570630;
        double r41570632 = 60.0;
        double r41570633 = r41570631 * r41570632;
        double r41570634 = a;
        double r41570635 = 120.0;
        double r41570636 = r41570634 * r41570635;
        double r41570637 = r41570633 + r41570636;
        return r41570637;
}

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 2019168 
(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)))