Average Error: 24.2 → 8.8
Time: 5.6s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t, double a) {
	return ((double) (x + ((double) (((double) (((double) (y - x)) * ((double) (z - t)))) / ((double) (a - t))))));
}

↓
double code(double x, double y, double z, double t, double a) {
	double VAR;
	if (((((double) (x + ((double) (((double) (((double) (y - x)) * ((double) (z - t)))) / ((double) (a - t)))))) <= -4.639554587483571e-281) || !(((double) (x + ((double) (((double) (((double) (y - x)) * ((double) (z - t)))) / ((double) (a - t)))))) <= 1.2826677504057426e-290))) {
		VAR = ((double) (x + ((double) (((double) (y - x)) * ((double) (((double) (z - t)) * ((double) (1.0 / ((double) (a - t))))))))));
	} else {
		VAR = ((double) (y + ((double) (((double) (z * ((double) (x / t)))) - ((double) (y * ((double) (z / t))))))));
	}
	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
Original24.2
Target9.4
Herbie8.8
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  (+ x (/ (* (- y x) (- z t)) (- a t)))  < -4.63955458748357079e-281 or 1.28267e-290 <  (+ x (/ (* (- y x) (- z t)) (- a t))) 
    1. Initial program 21.0
      \[\]
    2. Simplified7.2
      \[\leadsto \]
    3. Using strategy rm
    4. Applied div-inv7.3
      \[\leadsto \]
    if -4.63955458748357079e-281 <  (+ x (/ (* (- y x) (- z t)) (- a t)))  < 1.28267e-290
    1. Initial program 57.2
      \[\]
    2. Simplified56.7
      \[\leadsto \]
    3. Taylor expanded around inf 21.4
      \[\leadsto \]
    4. Simplified24.0
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification8.8
    \[\leadsto \]
Reproduce
herbie shell --seed 2020190 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Chart.Axis.Types:linMap from Chart-1.5.3"
  :precision binary64

  :herbie-target
  (if (< a -1.6153062845442575e-142) (+ x (* (/ (- y x) 1.0) (/ (- z t) (- a t)))) (if (< a 3.774403170083174e-182) (- y (* (/ z t) (- y x))) (+ x (* (/ (- y x) 1.0) (/ (- z t) (- a t))))))

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