Average Error: 10.8 → 1.4
Time: 5.2s
Precision: binary64
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double code(double x, double y, double z, double t, double a) {
	return ((double) (x + ((double) (((double) (y * ((double) (z - t)))) / ((double) (a - t))))));
}
double code(double x, double y, double z, double t, double a) {
	return ((double) (x + ((double) (y * ((double) (((double) (z / ((double) (a - t)))) - ((double) (t / ((double) (a - t))))))))));
}

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

Original10.8
Target1.3
Herbie1.4
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Derivation

  1. Initial program 10.8

    \[\]
  2. Simplified1.4

    \[\leadsto \]
  3. Using strategy rm
  4. Applied div-sub1.4

    \[\leadsto \]
  5. Final simplification1.4

    \[\leadsto \]

Reproduce

herbie shell --seed 2020180 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Plot.Render.Plot.Axis:renderAxisTicks from plot-0.2.3.4, B"
  :precision binary64

  :herbie-target
  (+ x (/ y (/ (- a t) (- z t))))

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