Average Error: 0.0 → 0.0
Time: 3.2s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double t) {
	return ((double) (((double) (1.0 + ((double) (((double) (((double) (2.0 * t)) / ((double) (1.0 + t)))) * ((double) (((double) (2.0 * t)) / ((double) (1.0 + t)))))))) / ((double) (2.0 + ((double) (((double) (((double) (2.0 * t)) / ((double) (1.0 + t)))) * ((double) (((double) (2.0 * t)) / ((double) (1.0 + t))))))))));
}

↓
double code(double t) {
	double VAR;
	if (((t <= -13.881544274386412) || !(t <= -1.68677853164453e-310))) {
		VAR = ((double) log(((double) exp(((double) (((double) (1.0 + ((double) pow(((double) sqrt(((double) (((double) (t / ((double) (t + 1.0)))) * 2.0)))), 4.0)))) / ((double) (2.0 + ((double) pow(((double) sqrt(((double) (((double) (t / ((double) (t + 1.0)))) * 2.0)))), 4.0))))))))));
	} else {
		VAR = ((double) (((double) (1.0 + ((double) (2.0 * ((double) (2.0 * ((double) (t * ((double) (t / ((double) (((double) (t + 1.0)) * ((double) (t + 1.0)))))))))))))) / ((double) (2.0 + ((double) (2.0 * ((double) (2.0 * ((double) log(((double) pow(((double) exp(((double) (t / ((double) (((double) (t + 1.0)) * ((double) (t + 1.0)))))))), t))))))))))));
	}
	return VAR;
}

Error
Bits error versus t
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Derivation
  1. Split input into 2 regimes
  2. if  t  < -13.8815442743864121 or -1.686778531644532e-310 <  t 
    1. Initial program 0.0
      \[\]
    2. Using strategy rm
    3. Applied add-log-exp0.0
      \[\leadsto \]
    4. Simplified0.0
      \[\leadsto \]
    if -13.8815442743864121 <  t  < -1.686778531644532e-310
    1. Initial program 0.0
      \[\]
    2. Simplified0.0
      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-log-exp0.0
      \[\leadsto \]
    5. Simplified0.0
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.0
    \[\leadsto \]
Reproduce
herbie shell --seed 2020181 
(FPCore (t)
  :name "Kahan p13 Example 1"
  :precision binary64
  (/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))