Details

analyze426.0ms (11.1%)

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)

sample41.0ms (1.1%)

Algorithm

1×

intervals

Results

28.0ms	256×	body	128	valid
3.0ms	32×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify264.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4957	9
1	4957	9

prune5.0ms (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

Merged error: 0.2b

Counts

2 → 2

Compiler

Compiled 40 to 32 computations (20% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64_83`
10×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77` `add-sqr-sqrt_binary64_98`
5×	`pow1_binary64_135`
4×	`associate-/r*_binary64_23` `log-pow_binary64_163`
3×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `associate-/l*_binary64_24`
1×	`add-log-exp_binary64_113` `cbrt-undiv_binary64_108` `div-exp_binary64_125` `clear-num_binary64_76` `frac-2neg_binary64_88` `div-inv_binary64_74`

Counts

1 → 31

Calls

1 calls:

4.0ms

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

series93.0ms (2.4%)

Counts

1 → 3

Calls

1 calls:

92.0ms

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

simplify64.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4931	518
1	4931	518

prune34.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	27	7	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	27	9	36

Merged error: 0.0b

Counts

36 → 9

Compiler

Compiled 519 to 157 computations (69.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_98`
26×	`times-frac_binary64_83`
21×	`*-un-lft-identity_binary64_77`
20×	`add-cube-cbrt_binary64_109`
16×	`associate-r_binary64_19`
15×	`add-exp-log_binary64_112`
12×	`pow1_binary64_135`
9×	`add-cbrt-cube_binary64_110`
7×	`log-pow_binary64_163`
4×	`associate-/r*_binary64_23` `div-exp_binary64_125` `prod-exp_binary64_123`
3×	`associate-l_binary64_20` `associate-/l*_binary64_24` `unswap-sqr_binary64_45`
2×	`add-log-exp_binary64_113` `cbrt-unprod_binary64_107` `cbrt-undiv_binary64_108` `1-exp_binary64_118` `rec-exp_binary64_124` `div-inv_binary64_74`
1×	`pow-prod-down_binary64_145` `inv-pow_binary64_159` `associate-r/_binary64_21` `-commutative_binary64_10` `clear-num_binary64_76` `un-div-inv_binary64_75` `frac-2neg_binary64_88` `pow-flip_binary64_148`

Counts

2 → 74

Calls

2 calls:

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

series226.0ms (5.9%)

Counts

2 → 6

Calls

2 calls:

143.0ms	(/.f64 1 (log.f64 base))
83.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

simplify61.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5118	875

prune61.0ms (1.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	78	11	89

Merged error: 0.0b

Counts

89 → 11

Compiler

Compiled 1080 to 457 computations (57.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_83`
60×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77` `add-sqr-sqrt_binary64_98`
19×	`associate-/r*_binary64_23` `pow1_binary64_135`
16×	`log-pow_binary64_163`
15×	`add-exp-log_binary64_112`
9×	`add-cbrt-cube_binary64_110`
8×	`div-exp_binary64_125`
7×	`associate-/l*_binary64_24`
6×	`div-inv_binary64_74`
4×	`cbrt-undiv_binary64_108`
2×	`add-log-exp_binary64_113` `1-exp_binary64_118` `rec-exp_binary64_124` `clear-num_binary64_76` `frac-2neg_binary64_88`
1×	`inv-pow_binary64_159` `associate-/r/_binary64_25` `pow-flip_binary64_148`

Counts

2 → 119

Calls

2 calls:

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

series182.0ms (4.8%)

Counts

2 → 6

Calls

2 calls:

96.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
86.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

simplify71.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4990	2327
1	4990	2327

prune93.0ms (2.4%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	122	14	136

Merged error: 0.0b

Counts

136 → 14

Compiler

Compiled 2014 to 585 computations (71% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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)))

rewrite68.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

550×	`times-frac_binary64_83`
251×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77` `add-sqr-sqrt_binary64_98`
51×	`add-exp-log_binary64_112` `pow1_binary64_135`
46×	`log-pow_binary64_163`
36×	`div-exp_binary64_125`
34×	`div-inv_binary64_74`
22×	`associate-/l*_binary64_24`
20×	`associate-/r*_binary64_23`
19×	`add-cbrt-cube_binary64_110`
10×	`cbrt-undiv_binary64_108` `1-exp_binary64_118` `rec-exp_binary64_124`
3×	`add-log-exp_binary64_113` `clear-num_binary64_76` `frac-2neg_binary64_88`
2×	`inv-pow_binary64_159` `pow-flip_binary64_148`
1×	`associate-/r/_binary64_25` `associate-/l/_binary64_26`

Counts

3 → 335

Calls

3 calls:

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

series255.0ms (6.7%)

Counts

3 → 9

Calls

3 calls:

131.0ms	(/.f64 1 (log.f64 base))
93.0ms	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
31.0ms	(/.f64 1 (atan2.f64 im re))

simplify169.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

344 → 344

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4863	8034
1	4863	8034

prune296.0ms (7.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	343	1	344
Fresh	7	3	10
Picked	1	0	1
Done	0	3	3
Total	351	7	358

Merged error: 0.0b

Counts

358 → 7

Compiler

Compiled 6081 to 2468 computations (59.4% saved)

regimes81.0ms (2.1%)

Compiler: Compiled 501 to 431 computations (14% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample1.3s (32.9%)

Algorithm

1×

intervals

Results

802.0ms	8000×	body	128	valid
97.0ms	1020×	body	128	nan

Compiler

Compiled 122 to 103 computations (15.6% saved)

Details

analyze426.0ms (11.1%)

sample41.0ms (1.1%)

simplify264.0ms (6.9%)

prune5.0ms (0.1%)

localize6.0ms (0.2%)

rewrite6.0ms (0.2%)

series93.0ms (2.4%)

simplify64.0ms (1.7%)

prune34.0ms (0.9%)

localize7.0ms (0.2%)

rewrite17.0ms (0.5%)

series226.0ms (5.9%)

simplify61.0ms (1.6%)

prune61.0ms (1.6%)

localize7.0ms (0.2%)

rewrite22.0ms (0.6%)

series182.0ms (4.8%)

simplify71.0ms (1.9%)

prune93.0ms (2.4%)

localize8.0ms (0.2%)

rewrite68.0ms (1.8%)

series255.0ms (6.7%)

simplify169.0ms (4.4%)

prune296.0ms (7.7%)

regimes81.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (32.9%)

Profiling