Average Error: 10.3 → 0.7
Time: 4.9s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z, double t, double a) {
	return ((double) (x + ((double) (((double) (((double) (y - z)) * t)) / ((double) (a - z))))));
}
double code(double x, double y, double z, double t, double a) {
	double VAR;
	if (((((double) (((double) (((double) (y - z)) * t)) / ((double) (a - z)))) <= -4.470122018735066e+296) || !(((double) (((double) (((double) (y - z)) * t)) / ((double) (a - z)))) <= 3.752182664174561e+127))) {
		VAR = ((double) (x + ((double) (((double) (y - z)) / ((double) (((double) (a - z)) / t))))));
	} else {
		VAR = ((double) (((double) (((double) (((double) (y - z)) * t)) / ((double) (a - z)))) + x));
	}
	return VAR;
}

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

Original10.3
Target0.5
Herbie0.7
\[\]

Derivation

  1. Split input into 2 regimes
  2. if (/ (* (- y z) t) (- a z)) < -4.47012201873506621e296 or 3.75218266417456083e127 < (/ (* (- y z) t) (- a z))

    1. Initial program 45.8

      \[\]
    2. Simplified2.7

      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-cube-cbrt3.5

      \[\leadsto \]
    5. Applied *-un-lft-identity3.5

      \[\leadsto \]
    6. Applied times-frac3.6

      \[\leadsto \]
    7. Applied associate-*r*2.8

      \[\leadsto \]
    8. Simplified2.8

      \[\leadsto \]
    9. Using strategy rm
    10. Applied associate-*l/29.6

      \[\leadsto \]
    11. Using strategy rm
    12. Applied associate-/l*3.1

      \[\leadsto \]
    13. Simplified2.2

      \[\leadsto \]

    if -4.47012201873506621e296 < (/ (* (- y z) t) (- a z)) < 3.75218266417456083e127

    1. Initial program 0.2

      \[\]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.7

    \[\leadsto \]

Reproduce

herbie shell --seed 2020190 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Plot.Render.Plot.Axis:renderAxisTick from plot-0.2.3.4, A"
  :precision binary64

  :herbie-target
  (if (< t -1.0682974490174067e-39) (+ x (* (/ (- y z) (- a z)) t)) (if (< t 3.9110949887586375e-141) (+ x (/ (* (- y z) t) (- a z))) (+ x (* (/ (- y z) (- a z)) t))))

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