Details

analyze612.0ms (8.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5232	36
0	3	3
1	3	3

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)

sample42.0ms (0.6%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
3.0ms	35×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify121.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (115.0ms)

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))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

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

Counts

1 → 31

Calls

1 calls:

3.0ms

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

Compiler

Compiled 426 to 103 computations (75.8% saved)

series217.0ms (3.2%)

Error

0.3b

Counts

1 → 9

Calls

1 calls:

213.0ms

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

Compiler

Compiled 189 to 145 computations (23.3% saved)

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4804	572
1	4804	572

prune43.0ms (0.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	27	13	40
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	28	14	42

Error

0.1b

Counts

42 → 14

Compiler

Compiled 666 to 215 computations (67.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite125.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

108×	`times-frac_binary64_84`
60×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
19×	`pow1_binary64_139` `associate-/r*_binary64_22`
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` `clear-num_binary64_77` `1-exp_binary64_122` `rec-exp_binary64_128`
1×	`inv-pow_binary64_163` `pow-flip_binary64_152` `associate-/r/_binary64_24`

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))

Compiler

Compiled 2172 to 762 computations (64.9% saved)

series454.0ms (6.6%)

Error

0.1b

Counts

2 → 18

Calls

2 calls:

232.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
212.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

Compiler

Compiled 432 to 339 computations (21.5% saved)

simplify74.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5084	2435

prune101.0ms (1.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	133	4	137
Fresh	4	9	13
Picked	0	1	1
Done	0	0	0
Total	137	14	151

Error

0.0b

Counts

151 → 14

Compiler

Compiled 2166 to 609 computations (71.9% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite75.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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×	`div-exp_binary64_129` `prod-exp_binary64_127` `associate-/r*_binary64_22`
3×	`unswap-sqr_binary64_46` `associate-l_binary64_19` `associate-/l*_binary64_23`
2×	`1-exp_binary64_122` `rec-exp_binary64_128` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `div-inv_binary64_75`
1×	`pow-prod-down_binary64_149` `un-div-inv_binary64_76` `associate-r/_binary64_20` `-commutative_binary64_9` `inv-pow_binary64_163` `pow-flip_binary64_152` `frac-2neg_binary64_89` `clear-num_binary64_77`

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))

Compiler

Compiled 1091 to 530 computations (51.4% saved)

series294.0ms (4.3%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

209.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
78.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 282 to 225 computations (20.2% saved)

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5058	929

prune69.0ms (1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	1	11	12
Picked	1	0	1
Done	0	1	1
Total	85	15	100

Error

0.0b

Counts

100 → 15

Compiler

Compiled 1232 to 517 computations (58% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 1 (atan2.f64 im re))
0.3b	(/.f64 1 (log.f64 base))
0.4b	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))

rewrite504.0ms (7.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

550×	`times-frac_binary64_84`
251×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
51×	`pow1_binary64_139` `add-exp-log_binary64_116`
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×	`1-exp_binary64_122` `rec-exp_binary64_128` `cbrt-undiv_binary64_112`
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-/l/_binary64_25` `associate-/r/_binary64_24`

Counts

3 → 335

Calls

3 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))

Compiler

Compiled 7874 to 4452 computations (43.5% saved)

series372.0ms (5.4%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

233.0ms	(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
81.0ms	(/.f64 1 (log.f64 base))
49.0ms	(/.f64 1 (atan2.f64 im re))

Compiler

Compiled 480 to 393 computations (18.1% saved)

simplify143.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

353 → 353

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4864	8109
1	4864	8109

prune291.0ms (4.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	351	2	353
Fresh	6	7	13
Picked	0	1	1
Done	0	1	1
Total	357	11	368

Error

Counts

368 → 11

Compiler

Compiled 6147 to 2483 computations (59.6% saved)

regimes641.0ms (9.3%)

Accuracy

Total 0.3b remaining (98.9%)

Threshold costs 0.3b (98.9%)

Compiler

Compiled 6891 to 4911 computations (28.7% 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%)

sample2.5s (36.1%)

Algorithm

1×

intervals

Results

794.0ms	8000×	body	128	valid
86.0ms	933×	body	128	nan

Compiler

Compiled 1400 to 999 computations (28.6% saved)

Details

analyze612.0ms (8.9%)

sample42.0ms (0.6%)

simplify121.0ms (1.8%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite35.0ms (0.5%)

series217.0ms (3.2%)

simplify69.0ms (1%)

prune43.0ms (0.6%)

localize7.0ms (0.1%)

rewrite125.0ms (1.8%)

series454.0ms (6.6%)

simplify74.0ms (1.1%)

prune101.0ms (1.5%)

localize9.0ms (0.1%)

rewrite75.0ms (1.1%)

series294.0ms (4.3%)

simplify63.0ms (0.9%)

prune69.0ms (1%)

localize8.0ms (0.1%)

rewrite504.0ms (7.3%)

series372.0ms (5.4%)

simplify143.0ms (2.1%)

prune291.0ms (4.2%)

regimes641.0ms (9.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.5s (36.1%)

Profiling