Details

analyze429.0ms (9.9%)

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)

sample38.0ms (0.9%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
3.0ms	27×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify285.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4968	9
1	4968	9

prune7.0ms (0.2%)

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: 0.3b

Counts

2 → 2

Compiler

Compiled 74 to 58 computations (21.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64_429`
10×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445`
5×	`pow1_binary64_484`
4×	`log-pow_binary64_512` `associate-/r*_binary64_367`
3×	`add-exp-log_binary64_461` `add-cbrt-cube_binary64_459` `associate-/l*_binary64_368`
1×	`clear-num_binary64_422` `frac-2neg_binary64_434` `add-log-exp_binary64_462` `div-inv_binary64_420` `cbrt-undiv_binary64_457` `div-exp_binary64_474`

Counts

1 → 31

Calls

1 calls:

3.0ms

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

series93.0ms (2.1%)

Counts

1 → 3

Calls

1 calls:

93.0ms

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

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4804	518
1	4804	518

prune157.0ms (3.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	26	8	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	26	10	36

Merged error: 0.1b

Counts

36 → 10

Compiler

Compiled 2397 to 1448 computations (39.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1 (log.f64 base))
0.3b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_445`
26×	`times-frac_binary64_429`
21×	`*-un-lft-identity_binary64_423`
20×	`add-cube-cbrt_binary64_458`
16×	`associate-r_binary64_363`
15×	`add-exp-log_binary64_461`
12×	`pow1_binary64_484`
9×	`add-cbrt-cube_binary64_459`
7×	`log-pow_binary64_512`
4×	`prod-exp_binary64_472` `associate-/r*_binary64_367` `div-exp_binary64_474`
3×	`associate-l_binary64_364` `unswap-sqr_binary64_391` `associate-/l*_binary64_368`
2×	`rec-exp_binary64_473` `1-exp_binary64_467` `add-log-exp_binary64_462` `div-inv_binary64_420` `cbrt-undiv_binary64_457` `cbrt-unprod_binary64_456`
1×	`pow-prod-down_binary64_494` `un-div-inv_binary64_421` `associate-r/_binary64_365` `-commutative_binary64_354` `clear-num_binary64_422` `frac-2neg_binary64_434` `pow-flip_binary64_497` `inv-pow_binary64_508`

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))

series222.0ms (5.1%)

Counts

2 → 6

Calls

2 calls:

135.0ms	(/.f64 1 (log.f64 base))
87.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

simplify66.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5058	875

prune103.0ms (2.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	78	12	90

Merged error: 0.0b

Counts

90 → 12

Compiler

Compiled 1712 to 951 computations (44.5% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.4b	(/.f64 (log.f64 base) (atan2.f64 im re))
0.6b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_429`
60×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445`
19×	`pow1_binary64_484` `associate-/r*_binary64_367`
16×	`log-pow_binary64_512`
15×	`add-exp-log_binary64_461`
9×	`add-cbrt-cube_binary64_459`
8×	`div-exp_binary64_474`
7×	`associate-/l*_binary64_368`
6×	`div-inv_binary64_420`
4×	`cbrt-undiv_binary64_457`
2×	`rec-exp_binary64_473` `1-exp_binary64_467` `clear-num_binary64_422` `frac-2neg_binary64_434` `add-log-exp_binary64_462`
1×	`associate-/r/_binary64_369` `pow-flip_binary64_497` `inv-pow_binary64_508`

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))

series183.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

96.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
87.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5005	2327

prune286.0ms (6.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	118	7	125
Fresh	3	6	9
Picked	1	0	1
Done	0	2	2
Total	122	15	137

Merged error: 0.0b

Counts

137 → 15

Compiler

Compiled 4737 to 2638 computations (44.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 1 (atan2.f64 im re))
0.2b	(/.f64 1 (log.f64 base))
0.5b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))

rewrite67.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

550×	`times-frac_binary64_429`
251×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445`
51×	`pow1_binary64_484` `add-exp-log_binary64_461`
46×	`log-pow_binary64_512`
36×	`div-exp_binary64_474`
34×	`div-inv_binary64_420`
22×	`associate-/l*_binary64_368`
20×	`associate-/r*_binary64_367`
19×	`add-cbrt-cube_binary64_459`
10×	`rec-exp_binary64_473` `1-exp_binary64_467` `cbrt-undiv_binary64_457`
3×	`clear-num_binary64_422` `frac-2neg_binary64_434` `add-log-exp_binary64_462`
2×	`pow-flip_binary64_497` `inv-pow_binary64_508`
1×	`associate-/l/_binary64_370` `associate-/r/_binary64_369`

Counts

3 → 335

Calls

3 calls:

13.0ms	(/.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))

series269.0ms (6.2%)

Counts

3 → 9

Calls

3 calls:

142.0ms	(/.f64 1 (log.f64 base))
96.0ms	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
31.0ms	(/.f64 1 (atan2.f64 im re))

simplify143.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

344 → 344

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4864	8034
1	4864	8034

prune353.0ms (8.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	343	1	344
Fresh	5	7	12
Picked	1	0	1
Done	0	2	2
Total	349	10	359

Merged error: 0b

Counts

359 → 10

Compiler

Compiled 7110 to 3249 computations (54.3% saved)

regimes107.0ms (2.5%)

Compiler: Compiled 771 to 596 computations (22.7% 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%)

sample1.3s (30.3%)

Algorithm

1×

intervals

Results

817.0ms	8000×	body	128	valid
100.0ms	1065×	body	128	nan

Compiler

Compiled 176 to 136 computations (22.7% saved)

Details

analyze429.0ms (9.9%)

sample38.0ms (0.9%)

simplify285.0ms (6.5%)

prune7.0ms (0.2%)

localize6.0ms (0.1%)

rewrite6.0ms (0.1%)

series93.0ms (2.1%)

simplify71.0ms (1.6%)

prune157.0ms (3.6%)

localize7.0ms (0.2%)

rewrite20.0ms (0.5%)

series222.0ms (5.1%)

simplify66.0ms (1.5%)

prune103.0ms (2.4%)

localize10.0ms (0.2%)

rewrite22.0ms (0.5%)

series183.0ms (4.2%)

simplify73.0ms (1.7%)

prune286.0ms (6.6%)

localize9.0ms (0.2%)

rewrite67.0ms (1.5%)

series269.0ms (6.2%)

simplify143.0ms (3.3%)

prune353.0ms (8.1%)

regimes107.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (30.3%)

Profiling