Details

analyze423.0ms (10.2%)

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%)

Algorithm

1×

intervals

Results

27.0ms	256×	body	128	valid
4.0ms	41×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify211.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4968	9
1	4968	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

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))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`times-frac_binary64_84`
10×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
5×	`pow1_binary64_139`
4×	`associate-/r*_binary64_22` `log-pow_binary64_167`
3×	`add-cbrt-cube_binary64_114` `associate-/l*_binary64_23` `add-exp-log_binary64_116`
1×	`add-log-exp_binary64_117` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `frac-2neg_binary64_89` `div-inv_binary64_75` `clear-num_binary64_77`

Counts

1 → 31

Calls

1 calls:

3.0ms

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

series51.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify67.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4804	518
1	4804	518

prune35.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	23	11	34
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	24	12	36

Error

0.0b

Counts

36 → 12

Compiler

Compiled 556 to 176 computations (68.3% saved)

localize9.0ms (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))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_100`
26×	`times-frac_binary64_84`
21×	`*-un-lft-identity_binary64_78`
20×	`add-cube-cbrt_binary64_113`
16×	`associate-r_binary64_18`
15×	`add-exp-log_binary64_116`
12×	`pow1_binary64_139`
9×	`add-cbrt-cube_binary64_114`
7×	`log-pow_binary64_167`
4×	`prod-exp_binary64_127` `div-exp_binary64_129` `associate-/r*_binary64_22`
3×	`associate-l_binary64_19` `associate-/l*_binary64_23` `unswap-sqr_binary64_46`
2×	`add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `1-exp_binary64_122` `div-inv_binary64_75` `rec-exp_binary64_128`
1×	`-commutative_binary64_9` `inv-pow_binary64_163` `un-div-inv_binary64_76` `frac-2neg_binary64_89` `pow-flip_binary64_152` `pow-prod-down_binary64_149` `associate-r/_binary64_20` `clear-num_binary64_77`

Counts

2 → 74

Calls

2 calls:

8.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
3.0ms	(/.f64 1 (log.f64 base))

series122.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

75.0ms	(/.f64 1 (log.f64 base))
47.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5058	875

prune61.0ms (1.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	3	7	10
Picked	0	1	1
Done	0	1	1
Total	79	13	92

Error

0.0b

Counts

92 → 13

Compiler

Compiled 1115 to 470 computations (57.8% 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)))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_84`
60×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
19×	`associate-/r*_binary64_22` `pow1_binary64_139`
16×	`log-pow_binary64_167`
15×	`add-exp-log_binary64_116`
9×	`add-cbrt-cube_binary64_114`
8×	`div-exp_binary64_129`
7×	`associate-/l*_binary64_23`
6×	`div-inv_binary64_75`
4×	`cbrt-undiv_binary64_112`
2×	`add-log-exp_binary64_117` `frac-2neg_binary64_89` `1-exp_binary64_122` `rec-exp_binary64_128` `clear-num_binary64_77`
1×	`inv-pow_binary64_163` `pow-flip_binary64_152` `associate-/r/_binary64_24`

Counts

2 → 119

Calls

2 calls:

6.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
4.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

series96.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

50.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
46.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

simplify76.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5084	2327

prune93.0ms (2.2%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	1	9	10
Picked	0	1	1
Done	0	2	2
Total	123	15	138

Error

0.0b

Counts

138 → 15

Compiler

Compiled 2053 to 588 computations (71.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (atan2.f64 im re))
0.3b	(/.f64 1 (log.f64 base))
0.3b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))

rewrite59.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

550×	`times-frac_binary64_84`
251×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
51×	`add-exp-log_binary64_116` `pow1_binary64_139`
46×	`log-pow_binary64_167`
36×	`div-exp_binary64_129`
34×	`div-inv_binary64_75`
22×	`associate-/l*_binary64_23`
20×	`associate-/r*_binary64_22`
19×	`add-cbrt-cube_binary64_114`
10×	`cbrt-undiv_binary64_112` `1-exp_binary64_122` `rec-exp_binary64_128`
3×	`add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77`
2×	`inv-pow_binary64_163` `pow-flip_binary64_152`
1×	`associate-/r/_binary64_24` `associate-/l/_binary64_25`

Counts

3 → 335

Calls

3 calls:

12.0ms	(/.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))

series147.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

78.0ms	(/.f64 1 (log.f64 base))
51.0ms	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
18.0ms	(/.f64 1 (atan2.f64 im re))

simplify140.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

344 → 344

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4864	8034
1	4864	8034

prune288.0ms (6.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	342	2	344
Fresh	7	4	11
Picked	1	0	1
Done	0	3	3
Total	350	9	359

Error

Counts

359 → 9

Compiler

Compiled 6081 to 2468 computations (59.4% saved)

regimes335.0ms (8.1%)

Accuracy

Total 0.3b remaining (99%)

Threshold costs 0.3b (99%)

Compiler

Compiled 3266 to 2291 computations (29.9% 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%)

sample1.8s (42.4%)

Algorithm

1×

intervals

Results

773.0ms	8000×	body	128	valid
90.0ms	1020×	body	128	nan

Compiler

Compiled 675 to 475 computations (29.6% saved)

Details

analyze423.0ms (10.2%)

sample41.0ms (1%)

simplify211.0ms (5.1%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite5.0ms (0.1%)

series51.0ms (1.2%)

simplify67.0ms (1.6%)

prune35.0ms (0.9%)

localize9.0ms (0.2%)

rewrite16.0ms (0.4%)

series122.0ms (2.9%)

simplify65.0ms (1.6%)

prune61.0ms (1.5%)

localize7.0ms (0.2%)

rewrite19.0ms (0.5%)

series96.0ms (2.3%)

simplify76.0ms (1.8%)

prune93.0ms (2.2%)

localize9.0ms (0.2%)

rewrite59.0ms (1.4%)

series147.0ms (3.5%)

simplify140.0ms (3.4%)

prune288.0ms (6.9%)

regimes335.0ms (8.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (42.4%)

Profiling