Details

analyze430.0ms (10.8%)

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)

sample37.0ms (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)

simplify272.0ms (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: 0.3b

Counts

2 → 2

Compiler

Compiled 40 to 32 computations (20% 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 (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64_420`
10×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
5×	`pow1_binary64_472`
4×	`log-pow_binary64_500` `associate-/r*_binary64_360`
3×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `associate-/l*_binary64_361`
1×	`clear-num_binary64_413` `div-inv_binary64_411` `cbrt-undiv_binary64_445` `add-log-exp_binary64_450` `frac-2neg_binary64_425` `div-exp_binary64_462`

Counts

1 → 31

Calls

1 calls:

4.0ms

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

series91.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

91.0ms

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

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4931	518
1	4931	518

prune36.0ms (0.9%)

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 528 to 167 computations (68.4% 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)))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_435`
26×	`times-frac_binary64_420`
21×	`*-un-lft-identity_binary64_414`
20×	`add-cube-cbrt_binary64_446`
16×	`associate-r_binary64_356`
15×	`add-exp-log_binary64_449`
12×	`pow1_binary64_472`
9×	`add-cbrt-cube_binary64_447`
7×	`log-pow_binary64_500`
4×	`prod-exp_binary64_460` `div-exp_binary64_462` `associate-/r*_binary64_360`
3×	`associate-l_binary64_357` `unswap-sqr_binary64_382` `associate-/l*_binary64_361`
2×	`1-exp_binary64_455` `div-inv_binary64_411` `cbrt-undiv_binary64_445` `rec-exp_binary64_461` `add-log-exp_binary64_450` `cbrt-unprod_binary64_444`
1×	`clear-num_binary64_413` `inv-pow_binary64_496` `pow-flip_binary64_485` `un-div-inv_binary64_412` `-commutative_binary64_347` `pow-prod-down_binary64_482` `frac-2neg_binary64_425` `associate-r/_binary64_358`

Counts

2 → 74

Calls

2 calls:

9.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
4.0ms	(/.f64 1 (log.f64 base))

series247.0ms (6.2%)

Counts

2 → 6

Calls

2 calls:

160.0ms	(/.f64 1 (log.f64 base))
87.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5118	875

prune58.0ms (1.5%)

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 1081 to 464 computations (57.1% saved)

localize9.0ms (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)))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_420`
60×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
19×	`pow1_binary64_472` `associate-/r*_binary64_360`
16×	`log-pow_binary64_500`
15×	`add-exp-log_binary64_449`
9×	`add-cbrt-cube_binary64_447`
8×	`div-exp_binary64_462`
7×	`associate-/l*_binary64_361`
6×	`div-inv_binary64_411`
4×	`cbrt-undiv_binary64_445`
2×	`1-exp_binary64_455` `clear-num_binary64_413` `rec-exp_binary64_461` `add-log-exp_binary64_450` `frac-2neg_binary64_425`
1×	`associate-/r/_binary64_362` `inv-pow_binary64_496` `pow-flip_binary64_485`

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))

series188.0ms (4.7%)

Counts

2 → 6

Calls

2 calls:

95.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))
93.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

simplify73.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4990	2327
1	4990	2327

prune99.0ms (2.5%)

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 2043 to 602 computations (70.5% saved)

localize8.0ms (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)))

rewrite69.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

550×	`times-frac_binary64_420`
251×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
51×	`pow1_binary64_472` `add-exp-log_binary64_449`
46×	`log-pow_binary64_500`
36×	`div-exp_binary64_462`
34×	`div-inv_binary64_411`
22×	`associate-/l*_binary64_361`
20×	`associate-/r*_binary64_360`
19×	`add-cbrt-cube_binary64_447`
10×	`1-exp_binary64_455` `cbrt-undiv_binary64_445` `rec-exp_binary64_461`
3×	`clear-num_binary64_413` `add-log-exp_binary64_450` `frac-2neg_binary64_425`
2×	`inv-pow_binary64_496` `pow-flip_binary64_485`
1×	`associate-/r/_binary64_362` `associate-/l/_binary64_363`

Counts

3 → 335

Calls

3 calls:

16.0ms	(/.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))

series274.0ms (6.9%)

Counts

3 → 9

Calls

3 calls:

143.0ms	(/.f64 1 (log.f64 base))
98.0ms	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
33.0ms	(/.f64 1 (atan2.f64 im re))

simplify170.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

344 → 344

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4863	8034
1	4863	8034

prune291.0ms (7.3%)

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 6081 to 2468 computations (59.4% saved)

regimes104.0ms (2.6%)

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

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample1.3s (33.2%)

Algorithm

1×

intervals

Results

811.0ms	8000×	body	128	valid
102.0ms	1065×	body	128	nan

Compiler

Compiled 176 to 136 computations (22.7% saved)

Details

analyze430.0ms (10.8%)

sample37.0ms (0.9%)

simplify272.0ms (6.9%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite6.0ms (0.2%)

series91.0ms (2.3%)

simplify65.0ms (1.6%)

prune36.0ms (0.9%)

localize7.0ms (0.2%)

rewrite19.0ms (0.5%)

series247.0ms (6.2%)

simplify64.0ms (1.6%)

prune58.0ms (1.5%)

localize9.0ms (0.2%)

rewrite23.0ms (0.6%)

series188.0ms (4.7%)

simplify73.0ms (1.9%)

prune99.0ms (2.5%)

localize8.0ms (0.2%)

rewrite69.0ms (1.7%)

series274.0ms (6.9%)

simplify170.0ms (4.3%)

prune291.0ms (7.3%)

regimes104.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (33.2%)

Profiling