Average Error: 0.4 → 0.1
Time: 20.1s
Precision: 64
\[\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0\]
↓
\[\frac{x - y}{z - t} \cdot 60.0 + a \cdot 120.0\]
\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0
↓
\frac{x - y}{z - t} \cdot 60.0 + a \cdot 120.0
double f(double x, double y, double z, double t, double a) {
        double r41179604 = 60.0;
        double r41179605 = x;
        double r41179606 = y;
        double r41179607 = r41179605 - r41179606;
        double r41179608 = r41179604 * r41179607;
        double r41179609 = z;
        double r41179610 = t;
        double r41179611 = r41179609 - r41179610;
        double r41179612 = r41179608 / r41179611;
        double r41179613 = a;
        double r41179614 = 120.0;
        double r41179615 = r41179613 * r41179614;
        double r41179616 = r41179612 + r41179615;
        return r41179616;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r41179617 = x;
        double r41179618 = y;
        double r41179619 = r41179617 - r41179618;
        double r41179620 = z;
        double r41179621 = t;
        double r41179622 = r41179620 - r41179621;
        double r41179623 = r41179619 / r41179622;
        double r41179624 = 60.0;
        double r41179625 = r41179623 * r41179624;
        double r41179626 = a;
        double r41179627 = 120.0;
        double r41179628 = r41179626 * r41179627;
        double r41179629 = r41179625 + r41179628;
        return r41179629;
}

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
\[\frac{60.0}{\frac{z - t}{x - y}} + a \cdot 120.0\]

Derivation

  1. Initial program 0.4

    \[\frac{60.0 \cdot \left(x - y\right)}{z - t} + a \cdot 120.0\]
  2. Using strategy rm

  3. Applied *-un-lft-identity0.4

    \[\leadsto \frac{60.0 \cdot \left(x - y\right)}{\color{blue}{1 \cdot \left(z - t\right)}} + a \cdot 120.0\]

  4. Applied times-frac0.1

    \[\leadsto \color{blue}{\frac{60.0}{1} \cdot \frac{x - y}{z - t}} + a \cdot 120.0\]

  5. Simplified0.1

    \[\leadsto \color{blue}{60.0} \cdot \frac{x - y}{z - t} + a \cdot 120.0\]

  6. Final simplification0.1

    \[\leadsto \frac{x - y}{z - t} \cdot 60.0 + a \cdot 120.0\]

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)))