Average Error: 0.3 → 0.4
Time: 5.8s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x) {
	return ((double) (((double) (1.0 - ((double) (((double) tan(x)) * ((double) tan(x)))))) / ((double) (1.0 + ((double) (((double) tan(x)) * ((double) tan(x))))))));
}

↓
double code(double x) {
	return ((double) (((double) (1.0 - ((double) (((double) (((double) tan(x)) * ((double) sin(x)))) / ((double) cos(x)))))) / ((double) (1.0 + ((double) (((double) tan(x)) * ((double) tan(x))))))));
}

Error
Bits error versus x
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Derivation
  1. Initial program 0.3
    \[\]
  2. Using strategy rm
  3. Applied tan-quot0.4
    \[\leadsto \]
  4. Applied associate-*r/0.4
    \[\leadsto \]
  5. Final simplification0.4
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x)
  :name "Trigonometry B"
  :precision binary64
  (/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x)))))