Details

analyze943.0ms (8.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
37.4%	62.4%	0.1%	8
37.4%	62.4%	0.1%	9
37.4%	62.4%	0.1%	10
43.7%	56.2%	0.1%	11
43.7%	56.2%	0.1%	12
43.7%	56.2%	0.1%	13
61.7%	38.2%	0.1%	14

Compiler

Compiled 38 to 30 computations (21.1% saved)

sample30.0ms (0.3%)

Algorithm

1×

intervals

Results

20.0ms

256×

body

128

valid

Compiler

Compiled 75 to 62 computations (17.3% saved)

simplify204.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5080	55

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 25.0b

Counts

2 → 1

Compiler

Compiled 74 to 58 computations (21.6% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x)
0.1b	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
24.0b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))

rewrite81.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_11556`
15×	`add-cbrt-cube_binary64_11568` `add-exp-log_binary64_11570`
12×	`add-cube-cbrt_binary64_11567` `*-un-lft-identity_binary64_11535`
10×	`pow1_binary64_11593`
9×	`associate-l_binary64_11478` `associate-r_binary64_11477`
8×	`associate-*l/_binary64_11480` `associate-/l/_binary64_11484`
7×	`flip-+_binary64_11509` `flip3-+_binary64_11538`
4×	`cbrt-unprod_binary64_11565` `prod-exp_binary64_11581` `frac-times_binary64_11545` `add-log-exp_binary64_11571`
3×	`flip3--_binary64_11539` `unswap-sqr_binary64_11503` `times-frac_binary64_11541` `flip--_binary64_11510` `-commutative_binary64_11468` `associate-/r_binary64_11481` `pow-prod-down_binary64_11603`
2×	`associate-*r/_binary64_11479` `cbrt-undiv_binary64_11566` `div-exp_binary64_11583` `associate-/r/_binary64_11483`
1×	`div-inv_binary64_11532` `clear-num_binary64_11534` `associate-/l*_binary64_11482` `frac-2neg_binary64_11546`

Counts

4 → 91

Calls

4 calls:

36.0ms	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))
14.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x)
11.0ms	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
8.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)

series436.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

290.0ms	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))
82.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
37.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x)
27.0ms	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5397	3120

prune276.0ms (2.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

Compiler

Compiled 5098 to 3641 computations (28.6% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

7.8b	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))
12.6b	(/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
12.7b	(.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))))
19.2b	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))

rewrite181.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

126×	`add-sqr-sqrt_binary64_11556`
108×	`times-frac_binary64_11541`
95×	`*-un-lft-identity_binary64_11535`
69×	`add-cube-cbrt_binary64_11567`
63×	`sqrt-prod_binary64_11550`
36×	`associate-l_binary64_11478`
24×	`associate-r_binary64_11477`
20×	`add-cbrt-cube_binary64_11568` `add-exp-log_binary64_11570`
13×	`difference-of-squares_binary64_11504` `distribute-lft-out--_binary64_11489`
12×	`associate-/r*_binary64_11481`
10×	`sqrt-div_binary64_11551`
9×	`unswap-sqr_binary64_11503`
8×	`associate-/r/_binary64_11483` `associate-/l*_binary64_11482`
7×	`pow1_binary64_11593`
6×	`cbrt-undiv_binary64_11566` `div-exp_binary64_11583` `flip-+_binary64_11509` `flip3-+_binary64_11538`
4×	`div-inv_binary64_11532` `cbrt-unprod_binary64_11565` `associate-/l/_binary64_11484` `prod-exp_binary64_11581` `add-log-exp_binary64_11571`
2×	`clear-num_binary64_11534` `frac-2neg_binary64_11546`
1×	`associate-r/_binary64_11479` `flip3--_binary64_11539` `associate-l/_binary64_11480` `flip--_binary64_11510` `div-sub_binary64_11540` `*-commutative_binary64_11468` `pow1/2_binary64_11612` `rem-sqrt-square_binary64_11548` `frac-times_binary64_11545` `sqrt-pow1_binary64_11552` `pow-prod-down_binary64_11603`

Counts

4 → 205

Calls

4 calls:

67.0ms	(.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))))
32.0ms	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
25.0ms	(/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
14.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))

series766.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

367.0ms	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
279.0ms	(.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))))
73.0ms	(/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
47.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))

simplify164.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5168	14273

prune1.2s (10.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	215	2	217
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	216	8	224

Merged error: 0.0b

Counts

224 → 8

Compiler

Compiled 16275 to 12010 computations (26.2% saved)

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

12.7b	(.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))) (.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z)) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))) (/.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z)) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))))))
13.3b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))
13.3b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))
13.3b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))

rewrite203.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`add-exp-log_binary64_11570`
55×	`add-cbrt-cube_binary64_11568`
36×	`associate-l_binary64_11478` `*-un-lft-identity_binary64_11535` `add-sqr-sqrt_binary64_11556`
30×	`times-frac_binary64_11541` `cbrt-unprod_binary64_11565` `prod-exp_binary64_11581`
24×	`add-cube-cbrt_binary64_11567`
21×	`cbrt-undiv_binary64_11566` `div-exp_binary64_11583`
15×	`sqrt-prod_binary64_11550`
9×	`cbrt-prod_binary64_11563` `pow1_binary64_11593`
6×	`cbrt-div_binary64_11564` `difference-of-squares_binary64_11504` `distribute-lft-out--_binary64_11489`
5×	`associate-*r/_binary64_11479` `frac-times_binary64_11545`
4×	`flip-+_binary64_11509` `add-log-exp_binary64_11571` `flip3-+_binary64_11538`
3×	`associate-*l/_binary64_11480` `pow1/3_binary64_11614` `pow-prod-down_binary64_11603`
2×	`associate-/r/_binary64_11483` `sqrt-div_binary64_11551`
1×	`div-inv_binary64_11532` `-commutative_binary64_11468` `associate-r*_binary64_11477`

Counts

4 → 121

Calls

4 calls:

105.0ms	(.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))) (.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z)) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))) (/.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z)) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))))))
15.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))
15.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))
15.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))

series932.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

349.0ms	(.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))) (.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z)) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))) (/.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z)) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))))))
198.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))
195.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))
189.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))

simplify148.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5109	8807

prune856.0ms (7.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	134	7	141

Merged error: 0.0b

Counts

141 → 7

Compiler

Compiled 12163 to 8947 computations (26.4% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

7.8b	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))
12.5b	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
12.5b	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
21.8b	(/.f64 (.f64 (-.f64 x 2) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))) 3))

rewrite136.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`sqrt-prod_binary64_11550`
28×	`add-sqr-sqrt_binary64_11556` `add-exp-log_binary64_11570`
24×	`times-frac_binary64_11541` `associate-/r*_binary64_11481`
23×	`add-cube-cbrt_binary64_11567` `*-un-lft-identity_binary64_11535`
18×	`cube-prod_binary64_11560` `unpow-prod-down_binary64_11611`
14×	`sqrt-div_binary64_11551`
13×	`add-cbrt-cube_binary64_11568`
12×	`div-exp_binary64_11583`
9×	`pow1_binary64_11593` `sqrt-pow1_binary64_11552`
6×	`prod-exp_binary64_11581`
5×	`associate-/l/_binary64_11484` `pow1/2_binary64_11612` `rem-sqrt-square_binary64_11548`
4×	`cbrt-undiv_binary64_11566` `flip-+_binary64_11509` `add-log-exp_binary64_11571` `flip3-+_binary64_11538`
3×	`pow-to-exp_binary64_11601` `pow-exp_binary64_11600`
2×	`sqr-pow_binary64_11507` `flip3--_binary64_11539` `associate-*l/_binary64_11480` `cbrt-unprod_binary64_11565` `flip--_binary64_11510` `associate-/r/_binary64_11483` `cube-mult_binary64_11562` `unpow3_binary64_11598` `cube-div_binary64_11561` `frac-times_binary64_11545`
1×	`associate-r/_binary64_11479` `div-inv_binary64_11532` `clear-num_binary64_11534` `associate-/l_binary64_11482` `frac-2neg_binary64_11546`

Counts

4 → 135

Calls

4 calls:

59.0ms	(/.f64 (.f64 (-.f64 x 2) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))) 3))
21.0ms	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
16.0ms	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
15.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))

series595.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

437.0ms	(/.f64 (.f64 (-.f64 x 2) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))) 3))
59.0ms	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
55.0ms	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
44.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))

simplify113.0ms (1%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5777	7608

prune503.0ms (4.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	147	7	154

Merged error: 0.0b

Counts

154 → 7

Compiler

Compiled 9165 to 6852 computations (25.2% saved)

regimes756.0ms (6.8%)

Compiler: Compiled 7820 to 6080 computations (22.3% saved)

bsearch67.0ms (0.6%)

Steps

Iters	Range		Point
9	6.303091857187642e+40	1.0475645814861931e+48	3.9592222633798117e+42
8	-4.8443790939499785e+55	-8.311574323388866e+51	-1.930177444281223e+55

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	80	85
1	80	85

end0.0ms (0%)

sample2.2s (20.3%)

Algorithm

1×

intervals

Results

642.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 2105 to 1627 computations (22.7% saved)

Details

analyze943.0ms (8.5%)

sample30.0ms (0.3%)

simplify204.0ms (1.9%)

prune4.0ms (0%)

localize28.0ms (0.3%)

rewrite81.0ms (0.7%)

series436.0ms (3.9%)

simplify80.0ms (0.7%)

prune276.0ms (2.5%)

localize29.0ms (0.3%)

rewrite181.0ms (1.6%)

series766.0ms (6.9%)

simplify164.0ms (1.5%)

prune1.2s (10.8%)

localize44.0ms (0.4%)

rewrite203.0ms (1.8%)

series932.0ms (8.4%)

simplify148.0ms (1.3%)

prune856.0ms (7.7%)

localize33.0ms (0.3%)

rewrite136.0ms (1.2%)

series595.0ms (5.4%)

simplify113.0ms (1%)

prune503.0ms (4.6%)

regimes756.0ms (6.8%)

bsearch67.0ms (0.6%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.2s (20.3%)

Profiling