Graphics.Rendering.Plot.Render.Plot.Axis:tickPosition from plot-0.2.3.4

Average Error: 2.2 → 2.2

Time: 12.4s

Precision: 64

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

Math

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

↓

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

C

double f(double x, double y, double z, double t) {
        double r559094 = x;
        double r559095 = y;
        double r559096 = r559095 - r559094;
        double r559097 = z;
        double r559098 = t;
        double r559099 = r559097 / r559098;
        double r559100 = r559096 * r559099;
        double r559101 = r559094 + r559100;
        return r559101;
}

↓

double f(double x, double y, double z, double t) {
        double r559102 = x;
        double r559103 = y;
        double r559104 = r559103 - r559102;
        double r559105 = z;
        double r559106 = t;
        double r559107 = r559105 / r559106;
        double r559108 = r559104 * r559107;
        double r559109 = r559102 + r559108;
        return r559109;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Target

Original	2.2
Target	2.3
Herbie	2.2

\[\begin{array}{l} \mathbf{if}\;\left(y - x\right) \cdot \frac{z}{t} \lt -1013646692435.887:\\ \;\;\;\;x + \frac{y - x}{\frac{t}{z}}\\ \mathbf{elif}\;\left(y - x\right) \cdot \frac{z}{t} \lt -0.0:\\ \;\;\;\;x + \frac{\left(y - x\right) \cdot z}{t}\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y - x}{\frac{t}{z}}\\ \end{array}\]

Derivation

1. Initial program 2.2

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

2. Final simplification 2.2

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

Reproduce

herbie shell --seed 2020045 
(FPCore (x y z t)
  :name "Graphics.Rendering.Plot.Render.Plot.Axis:tickPosition from plot-0.2.3.4"
  :precision binary64

  :herbie-target
  (if (< (* (- y x) (/ z t)) -1013646692435.887) (+ x (/ (- y x) (/ t z))) (if (< (* (- y x) (/ z t)) -0.0) (+ x (/ (* (- y x) z) t)) (+ x (/ (- y x) (/ t z)))))

  (+ x (* (- y x) (/ z t))))