Average Error: 33.3 → 0.9
Time: 5.4s
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) {
	return ((double) (((double) (((double) (((double) (((double) cbrt(x)) * ((double) cbrt(x)))) / ((double) (((double) cbrt(y)) * ((double) cbrt(y)))))) * ((double) (((double) (x / y)) * ((double) (((double) cbrt(x)) / ((double) cbrt(y)))))))) + ((double) (((double) (z / t)) * ((double) (z / t))))));
}

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
Original33.3
Target0.4
Herbie0.9
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Derivation
  1. Initial program 33.3
    \[\]
  2. Simplified25.0
    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-sqr-sqrt45.1
    \[\leadsto \]
  5. Applied times-frac41.1
    \[\leadsto \]
  6. Applied add-sqr-sqrt41.2
    \[\leadsto \]
  7. Applied unswap-sqr39.4
    \[\leadsto \]
  8. Simplified39.3
    \[\leadsto \]
  9. Simplified13.6
    \[\leadsto \]
  10. Using strategy rm
  11. Applied add-sqr-sqrt38.6
    \[\leadsto \]
  12. Applied times-frac34.0
    \[\leadsto \]
  13. Applied add-sqr-sqrt34.1
    \[\leadsto \]
  14. Applied unswap-sqr32.3
    \[\leadsto \]
  15. Simplified32.2
    \[\leadsto \]
  16. Simplified0.4
    \[\leadsto \]
  17. Using strategy rm
  18. Applied add-cube-cbrt0.8
    \[\leadsto \]
  19. Applied add-cube-cbrt0.9
    \[\leadsto \]
  20. Applied times-frac0.9
    \[\leadsto \]
  21. Applied associate-*l*0.9
    \[\leadsto \]
  22. Simplified0.9
    \[\leadsto \]
  23. Final simplification0.9
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(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))))