Details

sample4.3s (82.6%)

Algorithm

6×

intervals

Results

1.3s	7560×	body	1280	valid
780.0ms	2892×	body	2560	valid
541.0ms	4229×	body	640	valid
333.0ms	10031×	body	80	valid
170.0ms	1871×	body	320	valid
50.0ms	847×	body	160	valid

simplify390.0ms (7.5%)

Algorithm

11×	egg-herbie

series239.0ms (4.6%)

Calls

5 calls:

79.0ms	(- (fma x x (fma 2.0 x 1.0)) 1.0)
68.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)
54.0ms	(fma x 2.0 (pow x 2))
22.0ms	(fma x x (fma 2.0 x 1.0))
16.0ms	(* (+ x 1.0) (+ x 1.0))

prune201.0ms (3.9%)

rewrite39.0ms (0.8%)

Algorithm

5×	rewrite-expression-head

Calls

5 calls:

17.0ms	(* (+ x 1.0) (+ x 1.0))
11.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)
3.0ms	(- (fma x x (fma 2.0 x 1.0)) 1.0)
0.0ms	(fma x 2.0 (pow x 2))
0.0ms	(fma x x (fma 2.0 x 1.0))

Rules

33×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
12×	`pow1` `prod-diff`
9×	`add-log-exp`
7×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-lft-out` `flip3-+` `flip-+` `swap-sqr`
5×	`log1p-expm1-u` `expm1-log1p-u`
4×	`associate-r` `fma-neg` `associate-l` `frac-times`
3×	`associate--l+` `fma-udef`
2×	`diff-log` `flip--` `distribute-rgt-in` `associate-r/` `associate-l/` `flip3--` `difference-of-squares` `distribute-lft-in` `sub-neg`
1×	`pow-prod-down` `unswap-sqr` `*-commutative` `prod-exp` `pow-sqr` `cbrt-unprod` `pow-prod-up` `pow2` `pow-plus` `distribute-lft-out--`

localize19.0ms (0.4%)

regimes12.0ms (0.2%)

Accuracy

Total 0.0b remaining (96.6%)

Threshold costs 0.0b (96.6%)

0.0b

0%

Expanding a square

bsearch0.0ms (0.0%)

end0.0ms (0.0%)