Average Error: 10.6 → 1.2
Time: 4.7s
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) (a - t)) / ((double) (z - 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

Original10.6
Target1.2
Herbie1.2
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Derivation

  1. Initial program 10.6

    \[\]
  2. Simplified1.3

    \[\leadsto \]
  3. Using strategy rm
  4. Applied clear-num1.3

    \[\leadsto \]
  5. Using strategy rm
  6. Applied un-div-inv1.2

    \[\leadsto \]
  7. Final simplification1.2

    \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(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))))