Average Error: 7.7 → 0.3
Time: 3.5s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z) {
	return ((double) (((double) (x + y)) / ((double) (1.0 - ((double) (y / z))))));
}

↓
double code(double x, double y, double z) {
	double VAR;
	if (((y <= -1.2075343199884464e+53) || !(y <= 3.4739094143059343e-06))) {
		VAR = ((double) (1.0 / ((double) (((double) (1.0 / ((double) (y + x)))) + ((double) (((double) (y / ((double) (y + x)))) * ((double) (-1.0 / z))))))));
	} else {
		VAR = ((double) (((double) (y + x)) * ((double) (1.0 / ((double) (1.0 - ((double) (y / z))))))));
	}
	return VAR;
}

Error
Bits error versus x
Bits error versus y
Bits error versus z
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original7.7
Target4.0
Herbie0.3
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  y  < -1.20753431998844645e53 or 3.4739094143059343e-6 <  y 
    1. Initial program 16.2
      \[\]
    2. Using strategy rm
    3. Applied clear-num16.3
      \[\leadsto \]
    4. Using strategy rm
    5. Applied div-sub16.3
      \[\leadsto \]
    6. Simplified16.3
      \[\leadsto \]
    7. Simplified10.3
      \[\leadsto \]
    8. Using strategy rm
    9. Applied *-un-lft-identity10.3
      \[\leadsto \]
    10. Applied times-frac0.2
      \[\leadsto \]
    if -1.20753431998844645e53 <  y  < 3.4739094143059343e-6
    1. Initial program 0.3
      \[\]
    2. Using strategy rm
    3. Applied div-inv0.3
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.3
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(FPCore (x y z)
  :name "Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, A"
  :precision binary64

  :herbie-target
  (if (< y -3.7429310762689856e+171) (* (/ (+ y x) (neg y)) z) (if (< y 3.5534662456086734e+168) (/ (+ x y) (- 1.0 (/ y z))) (* (/ (+ y x) (neg y)) z)))

  (/ (+ x y) (- 1.0 (/ y z))))