Average Error: 34.3 → 4.1
Time: 7.0s
Precision: binary64
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\[\]
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) (x / ((double) (y * ((double) (y / x)))))) + ((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

Original34.3
Target0.4
Herbie4.1
\[\]

Derivation

  1. Initial program 34.3

    \[\]
  2. Simplified25.4

    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-sqr-sqrt44.6

    \[\leadsto \]
  5. Applied times-frac40.6

    \[\leadsto \]
  6. Applied add-sqr-sqrt40.7

    \[\leadsto \]
  7. Applied unswap-sqr39.0

    \[\leadsto \]
  8. Simplified38.9

    \[\leadsto \]
  9. Simplified13.4

    \[\leadsto \]
  10. Using strategy rm
  11. Applied clear-num13.4

    \[\leadsto \]
  12. Simplified4.6

    \[\leadsto \]
  13. Using strategy rm
  14. Applied un-div-inv4.1

    \[\leadsto \]
  15. Final simplification4.1

    \[\leadsto \]

Reproduce

herbie shell --seed 2020179 
(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))))