Average Error: 24.7 → 9.1
Time: 10.9s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t, double a) {
	return ((double) (x + ((double) (((double) (((double) (y - z)) * ((double) (t - x)))) / ((double) (a - z))))));
}

↓
double code(double x, double y, double z, double t, double a) {
	double VAR;
	if (((a <= -2.39424874483831e-107) || !(a <= 9.99656078994344e-119))) {
		VAR = ((double) (x + ((double) (((double) (((double) (y - z)) / ((double) (a - z)))) * ((double) (t - x))))));
	} else {
		VAR = ((double) (t + ((double) (((double) (y / z)) * ((double) (x - 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
Original24.7
Target11.9
Herbie9.1
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  a  < -2.3942487448383101e-107 or 9.9965607899434403e-119 <  a 
    1. Initial program 22.7
      \[\]
    2. Simplified11.0
      \[\leadsto \]
    3. Using strategy rm
    4. Applied clear-num11.3
      \[\leadsto \]
    5. Using strategy rm
    6. Applied associate-/r/11.0
      \[\leadsto \]
    7. Applied associate-*r*8.7
      \[\leadsto \]
    8. Simplified8.6
      \[\leadsto \]
    if -2.3942487448383101e-107 <  a  < 9.9965607899434403e-119
    1. Initial program 29.5
      \[\]
    2. Simplified24.4
      \[\leadsto \]
    3. Taylor expanded around inf 15.4
      \[\leadsto \]
    4. Simplified10.4
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification9.1
    \[\leadsto \]
Reproduce
herbie shell --seed 2020179 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Chart.Axis.Types:invLinMap from Chart-1.5.3"
  :precision binary64

  :herbie-target
  (if (< z -1.2536131056095036e+188) (- t (* (/ y z) (- t x))) (if (< z 4.446702369113811e+64) (+ x (/ (- y z) (/ (- a z) (- t x)))) (- t (* (/ y z) (- t x)))))

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