Average Error: 33.9 → 3.2
Time: 6.5s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t) {
	return ((double) (((double) (((double) (x * x)) / ((double) (y * y)))) + ((double) (((double) (z * z)) / ((double) (t * t))))));
}

↓
double code(double x, double y, double z, double t) {
	double VAR;
	if (((((double) (t * t)) <= 1.4629005988533672e+55) || !(((double) (t * t)) <= 7.1815022956415805e+289))) {
		VAR = ((double) (((double) (((double) (1.0 / ((double) (((double) cbrt(y)) * ((double) cbrt(y)))))) * ((double) (((double) (x / y)) * ((double) (x / ((double) cbrt(y)))))))) + ((double) (((double) (z / t)) * ((double) (z / t))))));
	} else {
		VAR = ((double) (((double) (((double) (z / t)) * ((double) (z / t)))) + ((double) (x * ((double) (((double) (x / y)) * ((double) (1.0 / y))))))));
	}
	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
Original33.9
Target0.4
Herbie3.2
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  (* t t)  < 1.4629005988533672e55 or 7.1815022956415805e289 <  (* t t) 
    1. Initial program 35.9
      \[\]
    2. Simplified28.2
      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-sqr-sqrt45.8
      \[\leadsto \]
    5. Applied times-frac40.5
      \[\leadsto \]
    6. Applied add-sqr-sqrt40.5
      \[\leadsto \]
    7. Applied unswap-sqr38.3
      \[\leadsto \]
    8. Simplified38.3
      \[\leadsto \]
    9. Simplified13.2
      \[\leadsto \]
    10. Using strategy rm
    11. Applied add-sqr-sqrt38.5
      \[\leadsto \]
    12. Applied times-frac33.9
      \[\leadsto \]
    13. Applied add-sqr-sqrt33.9
      \[\leadsto \]
    14. Applied unswap-sqr32.2
      \[\leadsto \]
    15. Simplified32.1
      \[\leadsto \]
    16. Simplified0.4
      \[\leadsto \]
    17. Using strategy rm
    18. Applied add-cube-cbrt0.8
      \[\leadsto \]
    19. Applied *-un-lft-identity0.8
      \[\leadsto \]
    20. Applied times-frac0.8
      \[\leadsto \]
    21. Applied associate-*l*2.9
      \[\leadsto \]
    22. Simplified2.9
      \[\leadsto \]
    if 1.4629005988533672e55 <  (* t t)  < 7.1815022956415805e289
    1. Initial program 27.6
      \[\]
    2. Simplified13.6
      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-sqr-sqrt38.7
      \[\leadsto \]
    5. Applied times-frac38.7
      \[\leadsto \]
    6. Applied add-sqr-sqrt38.8
      \[\leadsto \]
    7. Applied unswap-sqr38.8
      \[\leadsto \]
    8. Simplified38.7
      \[\leadsto \]
    9. Simplified13.7
      \[\leadsto \]
    10. Using strategy rm
    11. Applied *-un-lft-identity13.7
      \[\leadsto \]
    12. Applied times-frac4.4
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification3.2
    \[\leadsto \]
Reproduce
herbie shell --seed 2020180 
(FPCore (x y z t)
  :name "Graphics.Rasterific.Svg.PathConverter:arcToSegments from rasterific-svg-0.2.3.1"
  :precision binary64

  :herbie-target
  (+ (pow (/ x y) 2.0) (pow (/ z t) 2.0))

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