Average Error: 6.6 → 1.3
Time: 4.6s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z, double t) {
	return ((double) (x + ((double) (((double) (y * ((double) (z - x)))) / t))));
}
double code(double x, double y, double z, double t) {
	double VAR;
	if ((((double) (x + ((double) (((double) (y * ((double) (z - x)))) / t)))) <= -inf.0)) {
		VAR = ((double) (x + ((double) (y / ((double) (t / ((double) (z - x))))))));
	} else {
		double VAR_1;
		if ((((double) (x + ((double) (((double) (y * ((double) (z - x)))) / t)))) <= -3.884518372918081e-186)) {
			VAR_1 = ((double) (x + ((double) (((double) (y * ((double) (z - x)))) / t))));
		} else {
			VAR_1 = ((double) (x + ((double) (((double) (z - x)) * ((double) (y / t))))));
		}
		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

Original6.6
Target2.1
Herbie1.3
\[\]

Derivation

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

    1. Initial program 64.0

      \[\]
    2. Simplified0.2

      \[\leadsto \]
    3. Using strategy rm
    4. Applied clear-num0.2

      \[\leadsto \]
    5. Using strategy rm
    6. Applied un-div-inv0.2

      \[\leadsto \]

    if -inf.0 < (+ x (/ (* y (- z x)) t)) < -3.8845183729180806e-186

    1. Initial program 0.3

      \[\]

    if -3.8845183729180806e-186 < (+ x (/ (* y (- z x)) t))

    1. Initial program 6.5

      \[\]
    2. Simplified6.6

      \[\leadsto \]
    3. Using strategy rm
    4. Applied clear-num6.8

      \[\leadsto \]
    5. Using strategy rm
    6. Applied associate-/r/6.7

      \[\leadsto \]
    7. Applied associate-*r*2.2

      \[\leadsto \]
    8. Simplified2.1

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

    \[\leadsto \]

Reproduce

herbie shell --seed 2020179 
(FPCore (x y z t)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, D"
  :precision binary64

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

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