Data.Colour.RGB:hslsv from colour-2.3.3, B

Average Error: 0.4 → 0.4

Time: 20.4s

Precision: 64

Math

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

↓

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

C

double f(double x, double y, double z, double t, double a) {
        double r40571648 = 60.0;
        double r40571649 = x;
        double r40571650 = y;
        double r40571651 = r40571649 - r40571650;
        double r40571652 = r40571648 * r40571651;
        double r40571653 = z;
        double r40571654 = t;
        double r40571655 = r40571653 - r40571654;
        double r40571656 = r40571652 / r40571655;
        double r40571657 = a;
        double r40571658 = 120.0;
        double r40571659 = r40571657 * r40571658;
        double r40571660 = r40571656 + r40571659;
        return r40571660;
}

↓

double f(double x, double y, double z, double t, double a) {
        double r40571661 = x;
        double r40571662 = y;
        double r40571663 = r40571661 - r40571662;
        double r40571664 = 60.0;
        double r40571665 = r40571663 * r40571664;
        double r40571666 = z;
        double r40571667 = t;
        double r40571668 = r40571666 - r40571667;
        double r40571669 = r40571665 / r40571668;
        double r40571670 = a;
        double r40571671 = 120.0;
        double r40571672 = r40571670 * r40571671;
        double r40571673 = r40571669 + r40571672;
        return r40571673;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Target

Original	0.4
Target	0.2
Herbie	0.4

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

Derivation

1. Initial program 0.4

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

2. Final simplification 0.4

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

Reproduce

herbie shell --seed 2019163 
(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)))