Average Error: 5.5 → 0.1
Time: 1.8s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y) {
	return ((double) (x * ((double) (1.0 + ((double) (y * y))))));
}

↓
double code(double x, double y) {
	return ((double) (((double) (x * 1.0)) + ((double) (y * ((double) (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
Original5.5
Target0.1
Herbie0.1
\[\]
Derivation
  1. Initial program 5.5
    \[\]
  2. Using strategy rm
  3. Applied distribute-lft-in5.5
    \[\leadsto \]
  4. Using strategy rm
  5. Applied associate-*r*0.1
    \[\leadsto \]
  6. Final simplification0.1
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(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))))