Details

analyze649.0ms (8.4%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
23.4%	51.5%	25.1%	7
24.2%	50.7%	25.1%	8
24.6%	50.3%	25.1%	9
36.9%	25.5%	37.6%	10
37.2%	25.3%	37.6%	11
37.3%	25.1%	37.6%	12
43.5%	12.7%	43.8%	13
43.6%	12.6%	43.8%	14

Compiler

Compiled 29 to 21 computations (27.6% saved)

sample48.0ms (0.6%)

Algorithm

1×

intervals

Results

30.0ms	256×	body	128	valid
4.0ms	37×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify210.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4968	9
1	4968	9

prune6.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.3b

Counts

2 → 2

Compiler

Compiled 40 to 32 computations (20% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64_77`
10×	`*-un-lft-identity_binary64_71` `add-cube-cbrt_binary64_106` `add-sqr-sqrt_binary64_93`
5×	`pow1_binary64_132`
4×	`associate-/r*_binary64_15` `log-pow_binary64_160`
3×	`add-cbrt-cube_binary64_107` `add-exp-log_binary64_109` `associate-/l*_binary64_16`
1×	`div-exp_binary64_122` `add-log-exp_binary64_110` `clear-num_binary64_70` `div-inv_binary64_68` `cbrt-undiv_binary64_105` `frac-2neg_binary64_82`

Counts

1 → 31

Calls

2 calls:

6.0ms	(/.f64 (atan2.f64 im re) (log.f64 base))
0.0ms	(/.f64 (atan2.f64 im re) (log.f64 base))

series225.0ms (2.9%)

Counts

1 → 9

Calls

1 calls:

225.0ms

(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 126 to 126 computations (0% saved)

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4804	572
1	4804	572

prune57.0ms (0.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	26	14	40
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	27	15	42

Error

0.0b

Counts

42 → 15

Compiler

Compiled 668 to 225 computations (66.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
0.3b	(/.f64 1 (log.f64 base))
0.3b	(/.f64 1 (log.f64 base))
0.3b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_93`
26×	`times-frac_binary64_77`
21×	`*-un-lft-identity_binary64_71`
20×	`add-cube-cbrt_binary64_106`
16×	`associate-r_binary64_11`
15×	`add-exp-log_binary64_109`
12×	`pow1_binary64_132`
9×	`add-cbrt-cube_binary64_107`
7×	`log-pow_binary64_160`
4×	`associate-/r*_binary64_15` `div-exp_binary64_122` `prod-exp_binary64_120`
3×	`unswap-sqr_binary64_39` `associate-l_binary64_12` `associate-/l*_binary64_16`
2×	`add-log-exp_binary64_110` `div-inv_binary64_68` `rec-exp_binary64_121` `cbrt-undiv_binary64_105` `cbrt-unprod_binary64_104` `1-exp_binary64_115`
1×	`inv-pow_binary64_156` `clear-num_binary64_70` `-commutative_binary64_2` `pow-prod-down_binary64_142` `un-div-inv_binary64_69` `frac-2neg_binary64_82` `associate-r/_binary64_13` `pow-flip_binary64_145`

Counts

2 → 74

Calls

4 calls:

9.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
3.0ms	(/.f64 1 (log.f64 base))
0.0ms	(/.f64 1 (log.f64 base))
0.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

series322.0ms (4.2%)

Counts

2 → 12

Calls

2 calls:

234.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
88.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 188 to 188 computations (0% saved)

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5058	929

prune73.0ms (0.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	2	12	14
Picked	1	0	1
Done	0	0	0
Total	85	16	101

Error

0.0b

Counts

101 → 16

Compiler

Compiled 1238 to 530 computations (57.2% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (log.f64 base) (atan2.f64 im re))
0.3b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.3b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.4b	(/.f64 (log.f64 base) (atan2.f64 im re))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_77`
60×	`*-un-lft-identity_binary64_71` `add-cube-cbrt_binary64_106` `add-sqr-sqrt_binary64_93`
19×	`associate-/r*_binary64_15` `pow1_binary64_132`
16×	`log-pow_binary64_160`
15×	`add-exp-log_binary64_109`
9×	`add-cbrt-cube_binary64_107`
8×	`div-exp_binary64_122`
7×	`associate-/l*_binary64_16`
6×	`div-inv_binary64_68`
4×	`cbrt-undiv_binary64_105`
2×	`add-log-exp_binary64_110` `clear-num_binary64_70` `rec-exp_binary64_121` `1-exp_binary64_115` `frac-2neg_binary64_82`
1×	`inv-pow_binary64_156` `associate-/r/_binary64_17` `pow-flip_binary64_145`

Counts

2 → 119

Calls

4 calls:

7.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
4.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))
0.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
0.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

series419.0ms (5.4%)

Counts

2 → 18

Calls

2 calls:

221.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
197.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

Compiler

Compiled 288 to 288 computations (0% saved)

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5084	2435

prune121.0ms (1.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	132	5	137
Fresh	7	8	15
Picked	0	1	1
Done	0	0	0
Total	139	14	153

Error

0.0b

Counts

153 → 14

Compiler

Compiled 2166 to 616 computations (71.6% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

0.5b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
0.3b	(/.f64 1 (log.f64 base))
0.1b	(/.f64 1 (atan2.f64 im re))
0.1b	(/.f64 1 (atan2.f64 im re))
0.3b	(/.f64 1 (log.f64 base))
0.5b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))

rewrite64.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

550×	`times-frac_binary64_77`
251×	`*-un-lft-identity_binary64_71` `add-cube-cbrt_binary64_106` `add-sqr-sqrt_binary64_93`
51×	`add-exp-log_binary64_109` `pow1_binary64_132`
46×	`log-pow_binary64_160`
36×	`div-exp_binary64_122`
34×	`div-inv_binary64_68`
22×	`associate-/l*_binary64_16`
20×	`associate-/r*_binary64_15`
19×	`add-cbrt-cube_binary64_107`
10×	`rec-exp_binary64_121` `cbrt-undiv_binary64_105` `1-exp_binary64_115`
3×	`add-log-exp_binary64_110` `clear-num_binary64_70` `frac-2neg_binary64_82`
2×	`inv-pow_binary64_156` `pow-flip_binary64_145`
1×	`associate-/l/_binary64_18` `associate-/r/_binary64_17`

Counts

3 → 335

Calls

6 calls:

14.0ms	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
4.0ms	(/.f64 1 (log.f64 base))
3.0ms	(/.f64 1 (atan2.f64 im re))
0.0ms	(/.f64 1 (atan2.f64 im re))
0.0ms	(/.f64 1 (log.f64 base))

series375.0ms (4.9%)

Counts

3 → 18

Calls

3 calls:

234.0ms	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
87.0ms	(/.f64 1 (log.f64 base))
54.0ms	(/.f64 1 (atan2.f64 im re))

Compiler

Compiled 320 to 320 computations (0% saved)

simplify149.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

353 → 353

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4864	8109
1	4864	8109

prune310.0ms (4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	350	3	353
Fresh	4	8	12
Picked	0	1	1
Done	0	1	1
Total	354	13	367

Error

Counts

367 → 13

Compiler

Compiled 6147 to 2483 computations (59.6% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	198	1131
1	198	1131

regimes314.0ms (4.1%)

Accuracy

Total 0.3b remaining (98.9%)

Threshold costs 0.3b (98.9%)

Compiler

Compiled 2854 to 2102 computations (26.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample4.0s (52.5%)

Algorithm

1×

intervals

Results

856.0ms	8000×	body	128	valid
101.0ms	995×	body	128	nan

Compiler

Compiled 2162 to 1581 computations (26.9% saved)

Pareto

0.3650148341252399

Details

analyze649.0ms (8.4%)

sample48.0ms (0.6%)

simplify210.0ms (2.7%)

prune6.0ms (0.1%)

localize6.0ms (0.1%)

rewrite9.0ms (0.1%)

series225.0ms (2.9%)

simplify73.0ms (0.9%)

prune57.0ms (0.7%)

localize7.0ms (0.1%)

rewrite17.0ms (0.2%)

series322.0ms (4.2%)

simplify65.0ms (0.8%)

prune73.0ms (0.9%)

localize7.0ms (0.1%)

rewrite25.0ms (0.3%)

series419.0ms (5.4%)

simplify76.0ms (1%)

prune121.0ms (1.6%)

localize9.0ms (0.1%)

rewrite64.0ms (0.8%)

series375.0ms (4.9%)

simplify149.0ms (1.9%)

prune310.0ms (4%)

simplify17.0ms (0.2%)

regimes314.0ms (4.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.0s (52.5%)

Profiling