Average Error: 5.3 → 0.1
Time: 1.7s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y) {
	return x * (1.0 + (y * y));
}

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

Error
Bits error versus x
Bits error versus y
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original5.3
Target0.1
Herbie0.1
\[\]
Derivation
  1. Initial program 5.3
    \[\]
  2. Using strategy rm
  3. Applied distribute-lft-in5.3
    \[\leadsto \]
  4. Using strategy rm
  5. Applied associate-*r*0.1
    \[\leadsto \]
  6. Final simplification0.1
    \[\leadsto \]
Reproduce
herbie shell --seed 2020338 
(FPCore (x y)
  :name "Numeric.Integration.TanhSinh:everywhere from integration-0.2.1"
  :precision binary64

  :herbie-target
  (+ x (* (* x y) y))

  (* x (+ 1.0 (* y y))))