Average Error: 11.3 → 1.5
Time: 4.1s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z, double t) {
	return ((double) (((double) (x * ((double) (y - z)))) / ((double) (t - z))));
}
double code(double x, double y, double z, double t) {
	double VAR;
	if ((((double) (((double) (x * ((double) (y - z)))) / ((double) (t - z)))) <= -inf.0)) {
		VAR = ((double) (((double) (y - z)) * ((double) (x / ((double) (t - z))))));
	} else {
		double VAR_1;
		if ((((double) (((double) (x * ((double) (y - z)))) / ((double) (t - z)))) <= -8.188419006489598e-214)) {
			VAR_1 = ((double) (((double) (x * ((double) (y - z)))) / ((double) (t - z))));
		} else {
			VAR_1 = ((double) (x * ((double) (((double) (y - z)) * ((double) (1.0 / ((double) (t - z))))))));
		}
		VAR = VAR_1;
	}
	return VAR;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original11.3
Target2.2
Herbie1.5
\[\]

Derivation

  1. Split input into 3 regimes
  2. if (/ (* x (- y z)) (- t z)) < -inf.0

    1. Initial program 64.0

      \[\]
    2. Simplified0.1

      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-cube-cbrt1.3

      \[\leadsto \]
    5. Applied *-un-lft-identity1.3

      \[\leadsto \]
    6. Applied times-frac1.3

      \[\leadsto \]
    7. Applied associate-*r*1.3

      \[\leadsto \]
    8. Simplified1.3

      \[\leadsto \]
    9. Using strategy rm
    10. Applied pow11.3

      \[\leadsto \]
    11. Applied pow11.3

      \[\leadsto \]
    12. Applied pow-prod-down1.3

      \[\leadsto \]
    13. Simplified0.2

      \[\leadsto \]

    if -inf.0 < (/ (* x (- y z)) (- t z)) < -8.18841900648959773e-214

    1. Initial program 0.3

      \[\]

    if -8.18841900648959773e-214 < (/ (* x (- y z)) (- t z))

    1. Initial program 10.2

      \[\]
    2. Simplified2.1

      \[\leadsto \]
    3. Using strategy rm
    4. Applied div-inv2.2

      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification1.5

    \[\leadsto \]

Reproduce

herbie shell --seed 2020179 
(FPCore (x y z t)
  :name "Graphics.Rendering.Chart.Plot.AreaSpots:renderAreaSpots4D from Chart-1.5.3"
  :precision binary64

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

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