double code(double t) {
return ((double) (((double) (1.0 + ((double) (((double) (2.0 - ((double) (((double) (2.0 / t)) / ((double) (1.0 + ((double) (1.0 / t)))))))) * ((double) (2.0 - ((double) (((double) (2.0 / t)) / ((double) (1.0 + ((double) (1.0 / t)))))))))))) / ((double) (2.0 + ((double) (((double) (2.0 - ((double) (((double) (2.0 / t)) / ((double) (1.0 + ((double) (1.0 / t)))))))) * ((double) (2.0 - ((double) (((double) (2.0 / t)) / ((double) (1.0 + ((double) (1.0 / t))))))))))))));
}
double code(double t) {
return ((double) (((double) (1.0 + ((double) (((double) (2.0 - ((double) (2.0 / ((double) (1.0 + ((double) (1.0 * t)))))))) * ((double) (2.0 - ((double) (2.0 / ((double) (1.0 + ((double) (1.0 * t)))))))))))) / ((double) (2.0 + ((double) (((double) (2.0 - ((double) (2.0 / ((double) (1.0 + ((double) (1.0 * t)))))))) * ((double) (2.0 - ((double) (2.0 / ((double) (1.0 + ((double) (1.0 * t))))))))))))));
}



Bits error versus t
Results
Initial program 0.0
Simplified0.0
Final simplification0.0
herbie shell --seed 2020192
(FPCore (t)
:name "Kahan p13 Example 2"
:precision binary64
(/ (+ 1.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))) (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))))))