Average Error: 10.4 → 1.7
Time: 3.1s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z) {
	return ((double) (((double) (x * ((double) (((double) (y - z)) + 1.0)))) / z));
}

↓
double code(double x, double y, double z) {
	return ((double) (((double) (((double) (x / z)) * ((double) (y + 1.0)))) - x));
}

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
Original10.4
Target0.4
Herbie1.7
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Derivation
  1. Initial program 10.4
    \[\]
  2. Simplified3.5
    \[\leadsto \]
  3. Using strategy rm
  4. Applied *-un-lft-identity3.5
    \[\leadsto \]
  5. Applied add-cube-cbrt3.8
    \[\leadsto \]
  6. Applied times-frac3.8
    \[\leadsto \]
  7. Applied associate-*r*3.1
    \[\leadsto \]
  8. Simplified3.1
    \[\leadsto \]
  9. Taylor expanded around 0 3.5
    \[\leadsto \]
  10. Simplified1.7
    \[\leadsto \]
  11. Final simplification1.7
    \[\leadsto \]
Reproduce
herbie shell --seed 2020180 
(FPCore (x y z)
  :name "Diagrams.TwoD.Segment.Bernstein:evaluateBernstein from diagrams-lib-1.3.0.3"
  :precision binary64

  :herbie-target
  (if (< x -2.71483106713436e-162) (- (* (+ 1.0 y) (/ x z)) x) (if (< x 3.874108816439546e-197) (* (* x (+ (- y z) 1.0)) (/ 1.0 z)) (- (* (+ 1.0 y) (/ x z)) x)))

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