Details

analyze1.1s (15.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5008	220
0	3	3
1	3	3

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)

sample32.0ms (0.5%)

Algorithm

1×

intervals

Results

22.0ms

256×

body

128

valid

Compiler

Compiled 75 to 62 computations (17.3% saved)

simplify43.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5236	55

prune4.0ms (0.1%)

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

30.7b

Counts

2 → 1

Compiler

Compiled 74 to 58 computations (21.6% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) 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)
29.7b	(/.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 (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_11353`
15×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
12×	`*-un-lft-identity_binary64_11331` `add-cube-cbrt_binary64_11366`
10×	`pow1_binary64_11392`
9×	`associate-r_binary64_11271` `associate-l_binary64_11272`
8×	`associate-/l/_binary64_11278` `associate-*l/_binary64_11274`
7×	`flip3-+_binary64_11334` `flip-+_binary64_11305`
4×	`cbrt-unprod_binary64_11364` `add-log-exp_binary64_11370` `prod-exp_binary64_11380` `frac-times_binary64_11341`
3×	`-commutative_binary64_11262` `unswap-sqr_binary64_11299` `associate-/r_binary64_11275` `flip3--_binary64_11335` `pow-prod-down_binary64_11402` `times-frac_binary64_11337` `flip--_binary64_11306`
2×	`div-exp_binary64_11382` `cbrt-undiv_binary64_11365` `associate-/r/_binary64_11277` `associate-*r/_binary64_11273`
1×	`associate-/l*_binary64_11276` `div-inv_binary64_11328` `frac-2neg_binary64_11342` `clear-num_binary64_11330`

Counts

4 → 91

Calls

4 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))
11.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x)
11.0ms	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
10.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)

series219.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

153.0ms	(/.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))
35.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
16.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x)
16.0ms	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)

simplify81.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5260	3047

prune275.0ms (3.9%)

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

Error

0.0b

Counts

104 → 7

Compiler

Compiled 5174 to 3700 computations (28.5% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104))
0.1b	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
0.1b	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
27.5b	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))

rewrite69.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_11353`
18×	`*-un-lft-identity_binary64_11331` `add-cube-cbrt_binary64_11366`
12×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
10×	`pow1_binary64_11392`
9×	`associate-r_binary64_11271` `associate-l_binary64_11272` `times-frac_binary64_11337`
6×	`associate-*r/_binary64_11273`
5×	`flip3-+_binary64_11334` `flip-+_binary64_11305`
4×	`add-log-exp_binary64_11370`
3×	`-commutative_binary64_11262` `cbrt-unprod_binary64_11364` `distribute-lft-in_binary64_11280` `associate-/l_binary64_11276` `unswap-sqr_binary64_11299` `associate-/r*_binary64_11275` `prod-exp_binary64_11380` `distribute-rgt-in_binary64_11281` `pow-prod-down_binary64_11402`
2×	`associate-/l/_binary64_11278` `associate-/r/_binary64_11277`
1×	`div-exp_binary64_11382` `div-inv_binary64_11328` `cbrt-undiv_binary64_11365` `frac-2neg_binary64_11342` `clear-num_binary64_11330`

Counts

4 → 97

Calls

4 calls:

29.0ms	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))
11.0ms	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104))
10.0ms	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
7.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))

series193.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))
34.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
16.0ms	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104))
14.0ms	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4920	3372
1	4920	3372

prune265.0ms (3.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	109	7	116

Error

0.0b

Counts

116 → 7

Compiler

Compiled 5496 to 3943 computations (28.3% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104))
0.1b	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
0.2b	(.f64 x (.f64 x (+.f64 x 6099563062176297/140737488355328)))
27.5b	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (+.f64 (.f64 x (+.f64 (+.f64 (.f64 x (.f64 x (+.f64 x 6099563062176297/140737488355328))) (.f64 x 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))

rewrite265.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_11353`
17×	`*-un-lft-identity_binary64_11331` `add-cube-cbrt_binary64_11366`
15×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
13×	`pow1_binary64_11392`
9×	`associate-l_binary64_11272` `times-frac_binary64_11337`
8×	`associate-*r/_binary64_11273`
7×	`associate-r_binary64_11271`
6×	`distribute-lft-in_binary64_11280` `distribute-rgt-in_binary64_11281`
5×	`cbrt-unprod_binary64_11364` `prod-exp_binary64_11380` `flip3-+_binary64_11334` `pow-prod-down_binary64_11402` `flip-+_binary64_11305`
4×	`add-log-exp_binary64_11370`
3×	`-commutative_binary64_11262` `associate-/l_binary64_11276` `associate-/r*_binary64_11275`
2×	`associate-/l/_binary64_11278` `associate-/r/_binary64_11277` `unswap-sqr_binary64_11299`
1×	`div-exp_binary64_11382` `div-inv_binary64_11328` `cbrt-undiv_binary64_11365` `frac-2neg_binary64_11342` `clear-num_binary64_11330`

Counts

4 → 99

Calls

4 calls:

227.0ms	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (+.f64 (.f64 x (+.f64 (+.f64 (.f64 x (.f64 x (+.f64 x 6099563062176297/140737488355328))) (.f64 x 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))
10.0ms	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104))
8.0ms	(.f64 x (.f64 x (+.f64 x 6099563062176297/140737488355328)))
7.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))

series213.0ms (3%)

Counts

4 → 12

Calls

4 calls:

132.0ms	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (+.f64 (.f64 x (+.f64 (+.f64 (.f64 x (.f64 x (+.f64 x 6099563062176297/140737488355328))) (.f64 x 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))
34.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
31.0ms	(.f64 x (.f64 x (+.f64 x 6099563062176297/140737488355328)))
17.0ms	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104))

simplify101.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5247	3283

prune261.0ms (3.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	111	7	118

Error

0.0b

Counts

118 → 7

Compiler

Compiled 5644 to 4009 computations (29% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
0.1b	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
0.1b	(/.f64 1 (/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z)))
27.5b	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))

rewrite101.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_11337`
64×	`add-sqr-sqrt_binary64_11353`
60×	`*-un-lft-identity_binary64_11331` `add-cube-cbrt_binary64_11366`
21×	`add-exp-log_binary64_11369`
18×	`associate-/r*_binary64_11275`
15×	`add-cbrt-cube_binary64_11367`
11×	`associate-/r/_binary64_11277`
9×	`pow1_binary64_11392`
8×	`div-exp_binary64_11382` `flip3-+_binary64_11334` `flip-+_binary64_11305`
6×	`associate-/l_binary64_11276` `div-inv_binary64_11328` `associate-r_binary64_11271` `associate-l*_binary64_11272`
4×	`cbrt-undiv_binary64_11365` `add-log-exp_binary64_11370` `associate-*r/_binary64_11273`
2×	`*-commutative_binary64_11262` `cbrt-unprod_binary64_11364` `associate-/l/_binary64_11278` `1-exp_binary64_11375` `distribute-lft-in_binary64_11280` `rec-exp_binary64_11381` `unswap-sqr_binary64_11299` `frac-2neg_binary64_11342` `prod-exp_binary64_11380` `distribute-rgt-in_binary64_11281` `pow-prod-down_binary64_11402` `clear-num_binary64_11330`
1×	`pow-flip_binary64_11405` `inv-pow_binary64_11416`

Counts

4 → 159

Calls

4 calls:

30.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z)))
28.0ms	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))
10.0ms	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
7.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))

series284.0ms (4%)

Counts

4 → 12

Calls

4 calls:

129.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z)))
97.0ms	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))
43.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
14.0ms	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))

simplify156.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4950	9660
1	4950	9660

prune578.0ms (8.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	171	7	178

Error

0.0b

Counts

178 → 7

Compiler

Compiled 9822 to 7110 computations (27.6% saved)

regimes660.0ms (9.3%)

Accuracy

Total 0.7b remaining (96%)

Threshold costs 0.7b (96%)

Compiler

Compiled 6288 to 4860 computations (22.7% saved)

bsearch64.0ms (0.9%)

Steps

Iters	Range		Point
7	2.875768448437053e+39	1.1325240045234807e+41	1.1146806748453102e+41
10	-1.3027626381252231e+43	-3.602709835585778e+30	-3.361760792985159e+41

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	104	108
1	104	108

end0.0ms (0%)

sample1.9s (26.8%)

Algorithm

1×

intervals

Results

637.0ms	8000×	body	128	valid
3.0ms	9×	body	128	invalid

Compiler

Compiled 1738 to 1333 computations (23.3% saved)

Details

analyze1.1s (15.3%)

sample32.0ms (0.5%)

simplify43.0ms (0.6%)

prune4.0ms (0.1%)

localize24.0ms (0.3%)

rewrite76.0ms (1.1%)

series219.0ms (3.1%)

simplify81.0ms (1.1%)

prune275.0ms (3.9%)

localize23.0ms (0.3%)

rewrite69.0ms (1%)

series193.0ms (2.7%)

simplify82.0ms (1.1%)

prune265.0ms (3.7%)

localize24.0ms (0.3%)

rewrite265.0ms (3.7%)

series213.0ms (3%)

simplify101.0ms (1.4%)

prune261.0ms (3.7%)

localize26.0ms (0.4%)

rewrite101.0ms (1.4%)

series284.0ms (4%)

simplify156.0ms (2.2%)

prune578.0ms (8.1%)

regimes660.0ms (9.3%)

bsearch64.0ms (0.9%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.9s (26.8%)

Profiling