Graphics.Rasterific.Shading:$sgradientColorAt from Rasterific-0.6.1

Average Error: 0.0 → 0.0

Time: 5.4s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

\[\frac{x - y}{z - y}\]

↓

\[\frac{x - y}{z - y}\]

C

double f(double x, double y, double z) {
        double r813603 = x;
        double r813604 = y;
        double r813605 = r813603 - r813604;
        double r813606 = z;
        double r813607 = r813606 - r813604;
        double r813608 = r813605 / r813607;
        return r813608;
}

↓

double f(double x, double y, double z) {
        double r813609 = x;
        double r813610 = y;
        double r813611 = r813609 - r813610;
        double r813612 = z;
        double r813613 = r813612 - r813610;
        double r813614 = r813611 / r813613;
        return r813614;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Target

Original	0.0
Target	0.0
Herbie	0.0

\[\frac{x}{z - y} - \frac{y}{z - y}\]

Derivation

1. Initial program 0.0

   \[\frac{x - y}{z - y}\]

2. Final simplification 0.0

   \[\leadsto \frac{x - y}{z - y}\]

Reproduce

herbie shell --seed 2020047 
(FPCore (x y z)
  :name "Graphics.Rasterific.Shading:$sgradientColorAt from Rasterific-0.6.1"
  :precision binary64

  :herbie-target
  (- (/ x (- z y)) (/ y (- z y)))

  (/ (- x y) (- z y)))