Details

sample3.9s (77.6%)

Algorithm
6×intervals
Results
1.2s7585×body1280valid
721.0ms2938×body2560valid
463.0ms4249×body640valid
260.0ms10075×body80valid
137.0ms1809×body320valid
37.0ms791×body160valid

simplify436.0ms (8.6%)

Algorithm
11×egg-herbie

series328.0ms (6.5%)

Calls

7 calls:

68.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)
54.0ms
(fma x 2.0 (pow x 2))
52.0ms
(fma x 2.0 (pow x 2))
52.0ms
(fma x 2.0 (pow x 2))
49.0ms
(* (sqrt (fma x 2.0 (pow x 2))) (sqrt (fma x 2.0 (pow x 2))))

prune289.0ms (5.7%)

rewrite44.0ms (0.9%)

Algorithm
5×rewrite-expression-head
Calls

7 calls:

16.0ms
(* (+ x 1.0) (+ x 1.0))
11.0ms
(- (* (+ x 1.0) (+ x 1.0)) 1.0)
9.0ms
(* (sqrt (fma x 2.0 (pow x 2))) (sqrt (fma x 2.0 (pow x 2))))
1.0ms
(sqrt (fma x 2.0 (pow x 2)))
0.0ms
(fma x 2.0 (pow x 2))
Rules
37×add-sqr-sqrt
35×*-un-lft-identity
30×pow1
21×sqrt-prod add-cube-cbrt
14×swap-sqr
11×add-exp-log add-cbrt-cube
10×associate-*r* associate-*l*
9×pow1/2 add-log-exp sqrt-pow1
7×log1p-expm1-u expm1-log1p-u
6×distribute-lft-out pow-prod-up flip3-+ flip-+
5×unswap-sqr
4×pow-prod-down pow-sqr frac-times
3×prod-diff fma-udef
2×*-commutative associate-*r/ distribute-rgt-in associate-*l/ associate--l+ pow-plus pow2 cbrt-unprod distribute-lft-in prod-exp
1×flip-- fma-neg sqrt-unprod rem-square-sqrt diff-log difference-of-squares rem-sqrt-square flip3-- sub-neg

localize20.0ms (0.4%)

regimes13.0ms (0.2%)

Accuracy

Total 0.0b remaining (51.9%)

Threshold costs 0.0b (51.9%)

0.0b0%Expanding a square

bsearch0.0ms (0.0%)

end0.0ms (0.0%)