Details

analyze945.0ms (5.6%)

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)

sample36.0ms (0.2%)

Algorithm

1×

intervals

Results

23.0ms

256×

body

128

valid

Compiler

Compiled 75 to 62 computations (17.3% saved)

simplify129.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5236	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

Error

22.0b

Counts

2 → 1

Compiler

Compiled 74 to 58 computations (21.6% saved)

localize28.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (*.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104)
0.0b	(+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328)
0.0b	(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x) z)
0.0b	(+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888)
0.0b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x)
0.1b	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
0.1b	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
21.2b	(/.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))

rewrite76.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_10416`
15×	`add-exp-log_binary64_10432` `add-cbrt-cube_binary64_10430`
12×	`*-un-lft-identity_binary64_10394` `add-cube-cbrt_binary64_10429`
10×	`pow1_binary64_10455`
9×	`associate-r_binary64_10334` `associate-l_binary64_10335`
8×	`associate-/l/_binary64_10341` `associate-*l/_binary64_10337`
7×	`flip-+_binary64_10368` `flip3-+_binary64_10397`
4×	`add-log-exp_binary64_10433` `frac-times_binary64_10404` `prod-exp_binary64_10443` `cbrt-unprod_binary64_10427`
3×	`associate-/r_binary64_10338` `pow-prod-down_binary64_10465` `flip--_binary64_10369` `unswap-sqr_binary64_10362` `-commutative_binary64_10325` `times-frac_binary64_10400` `flip3--_binary64_10398`
2×	`associate-/r/_binary64_10340` `cbrt-undiv_binary64_10428` `associate-*r/_binary64_10336` `div-exp_binary64_10445`
1×	`div-inv_binary64_10391` `frac-2neg_binary64_10405` `associate-/l*_binary64_10339` `clear-num_binary64_10393`

Counts

4 → 91

Calls

8 calls:

33.0ms	(/.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 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x)
10.0ms	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
7.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
0.0ms	(+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888)

series1.7s (10%)

Counts

4 → 57

Calls

4 calls:

1.4s	(/.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))
172.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x)
89.0ms	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
57.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)

Compiler

Compiled 4588 to 3775 computations (17.7% saved)

simplify109.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5082	5891

prune536.0ms (3.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	140	8	148
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	141	8	149

Error

Counts

149 → 8

Compiler

Compiled 7847 to 5548 computations (29.3% saved)

localize33.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)
0.0b	(+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)
0.0b	(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)
0.0b	(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)
5.9b	(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)))
12.8b	(.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))))
17.0b	(/.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)))

rewrite176.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

126×	`add-sqr-sqrt_binary64_10416`
108×	`times-frac_binary64_10400`
95×	`*-un-lft-identity_binary64_10394`
69×	`add-cube-cbrt_binary64_10429`
63×	`sqrt-prod_binary64_10410`
36×	`associate-l_binary64_10335`
24×	`associate-r_binary64_10334`
20×	`add-exp-log_binary64_10432` `add-cbrt-cube_binary64_10430`
13×	`difference-of-squares_binary64_10363` `distribute-lft-out--_binary64_10346`
12×	`associate-/r*_binary64_10338`
10×	`sqrt-div_binary64_10411`
9×	`unswap-sqr_binary64_10362`
8×	`associate-/r/_binary64_10340` `associate-/l*_binary64_10339`
7×	`pow1_binary64_10455`
6×	`cbrt-undiv_binary64_10428` `flip-+_binary64_10368` `flip3-+_binary64_10397` `div-exp_binary64_10445`
4×	`associate-/l/_binary64_10341` `div-inv_binary64_10391` `add-log-exp_binary64_10433` `prod-exp_binary64_10443` `cbrt-unprod_binary64_10427`
2×	`frac-2neg_binary64_10405` `clear-num_binary64_10393`
1×	`pow1/2_binary64_10474` `sqrt-pow1_binary64_10412` `pow-prod-down_binary64_10465` `flip--_binary64_10369` `rem-sqrt-square_binary64_10407` `frac-times_binary64_10404` `div-sub_binary64_10399` `associate-r/_binary64_10336` `associate-l/_binary64_10337` `*-commutative_binary64_10325` `flip3--_binary64_10398`

Counts

4 → 205

Calls

8 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))))
29.0ms	(/.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)))
18.0ms	(/.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)))
13.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))
0.0ms	(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)

series2.7s (15.9%)

Counts

4 → 69

Calls

4 calls:

1.4s	(.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))))
1.2s	(/.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)))
93.0ms	(/.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)))
55.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))

Compiler

Compiled 7161 to 5943 computations (17% saved)

simplify211.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

274 → 274

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5381	18539

prune1.6s (9.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	273	1	274
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	275	7	282

Error

Counts

282 → 7

Compiler

Compiled 20129 to 14728 computations (26.8% saved)

localize27.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)
0.0b	(+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)
0.0b	(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x) z)
0.0b	(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)
0.1b	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
0.1b	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
0.2b	(/.f64 1 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))
21.4b	(.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 1 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))

rewrite91.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-exp-log_binary64_10432`
27×	`add-sqr-sqrt_binary64_10416`
23×	`*-un-lft-identity_binary64_10394` `add-cube-cbrt_binary64_10429`
22×	`add-cbrt-cube_binary64_10430`
21×	`associate-r_binary64_10334`
18×	`times-frac_binary64_10400`
16×	`frac-times_binary64_10404`
14×	`pow1_binary64_10455` `prod-exp_binary64_10443` `associate-*l/_binary64_10337`
10×	`flip-+_binary64_10368` `flip3-+_binary64_10397`
8×	`cbrt-unprod_binary64_10427`
7×	`associate-l_binary64_10335` `associate-*r/_binary64_10336`
6×	`flip--_binary64_10369` `flip3--_binary64_10398` `div-exp_binary64_10445`
5×	`pow-prod-down_binary64_10465`
4×	`associate-/r/_binary64_10340` `add-log-exp_binary64_10433`
3×	`associate-/r_binary64_10338` `rec-exp_binary64_10444` `cbrt-undiv_binary64_10428` `-commutative_binary64_10325` `associate-/l*_binary64_10339` `1-exp_binary64_10438`
2×	`div-inv_binary64_10391` `unswap-sqr_binary64_10362`
1×	`pow-flip_binary64_10468` `distribute-lft-in_binary64_10343` `un-div-inv_binary64_10392` `frac-2neg_binary64_10405` `inv-pow_binary64_10479` `clear-num_binary64_10393` `distribute-rgt-in_binary64_10344`

Counts

4 → 131

Calls

8 calls:

39.0ms	(.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 1 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
14.0ms	(/.f64 1 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))
10.0ms	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
7.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
0.0ms	(+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)

series1.6s (9.3%)

Counts

4 → 49

Calls

4 calls:

1.4s	(.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 1 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
98.0ms	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
59.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
52.0ms	(/.f64 1 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))

Compiler

Compiled 4258 to 3515 computations (17.4% saved)

simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5095	8260

prune541.0ms (3.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	180	7	187

Error

Counts

187 → 7

Compiler

Compiled 9783 to 7068 computations (27.8% saved)

localize44.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y)) (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y))) (.f64 x (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)))) z)
0.0b	(+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328)
0.0b	(+.f64 (*.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104)
0.0b	(+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888)
17.8b	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y))
17.8b	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y))
17.8b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y))
21.2b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y)) (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y))) (.f64 x (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)))) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))

rewrite116.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_10432` `cbrt-prod_binary64_10425` `add-cbrt-cube_binary64_10430` `add-sqr-sqrt_binary64_10416` `*-un-lft-identity_binary64_10394` `add-cube-cbrt_binary64_10429`
8×	`associate-/l/_binary64_10341`
7×	`flip-+_binary64_10368` `flip3-+_binary64_10397`
6×	`cbrt-div_binary64_10426`
4×	`pow1_binary64_10455` `add-log-exp_binary64_10433` `frac-times_binary64_10404`
3×	`associate-/r*_binary64_10338` `pow1/3_binary64_10476` `flip--_binary64_10369` `times-frac_binary64_10400` `flip3--_binary64_10398`
2×	`associate-/r/_binary64_10340` `cbrt-undiv_binary64_10428` `associate-r/_binary64_10336` `associate-l/_binary64_10337` `div-exp_binary64_10445`
1×	`div-inv_binary64_10391` `prod-exp_binary64_10443` `frac-2neg_binary64_10405` `associate-/l*_binary64_10339` `clear-num_binary64_10393` `cbrt-unprod_binary64_10427`

Counts

4 → 70

Calls

8 calls:

64.0ms	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y)) (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y))) (.f64 x (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)))) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))
11.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y))
11.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y))
0.0ms	(+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888)

series2.2s (13.1%)

Counts

4 → 63

Calls

4 calls:

1.4s	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y)) (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y))) (.f64 x (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)))) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))
280.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y))
276.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y))
275.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y))

Compiler

Compiled 8179 to 6693 computations (18.2% saved)

simplify112.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4983	7088
1	4983	7088

prune584.0ms (3.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	133	7	140

Error

Counts

140 → 7

Compiler

Compiled 9992 to 7195 computations (28% saved)

regimes868.0ms (5.1%)

Accuracy

Total 0.6b remaining (96.1%)

Threshold costs 0.6b (96.1%)

Compiler

Compiled 8972 to 6880 computations (23.3% saved)

bsearch74.0ms (0.4%)

Steps

Iters	Range		Point
9	1730632849681179.2	2.8547739047431773e+20	2.8297016676765227e+20
8	-1.3154112736524408e+60	-2.1088515876818865e+55	-3.6293449341285605e+58

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	108	129
1	108	129

end0.0ms (0%)

sample2.3s (13.8%)

Algorithm

1×

intervals

Results

656.0ms	8000×	body	128	valid
1.0ms	12×	body	128	invalid

Compiler

Compiled 2423 to 1843 computations (23.9% saved)

Pareto

Details

analyze945.0ms (5.6%)

sample36.0ms (0.2%)

simplify129.0ms (0.8%)

prune4.0ms (0%)

localize28.0ms (0.2%)

rewrite76.0ms (0.4%)

series1.7s (10%)

simplify109.0ms (0.6%)

prune536.0ms (3.2%)

localize33.0ms (0.2%)

rewrite176.0ms (1%)

series2.7s (15.9%)

simplify211.0ms (1.2%)

prune1.6s (9.4%)

localize27.0ms (0.2%)

rewrite91.0ms (0.5%)

series1.6s (9.3%)

simplify119.0ms (0.7%)

prune541.0ms (3.2%)

localize44.0ms (0.3%)

rewrite116.0ms (0.7%)

series2.2s (13.1%)

simplify112.0ms (0.7%)

prune584.0ms (3.4%)

regimes868.0ms (5.1%)

bsearch74.0ms (0.4%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.3s (13.8%)

Profiling