Details

analyze441.0ms (10.9%)

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)

sample42.0ms (1%)

Algorithm

1×

intervals

Results

26.0ms	256×	body	128	valid
6.0ms	36×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify270.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (113.0ms)

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)

localize7.0ms (0.2%)

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_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))

series90.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

90.0ms

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

simplify67.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4931	518
1	4931	518

prune37.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	24	10	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	12	36

Merged error: 0.1b

Counts

36 → 12

Compiler

Compiled 559 to 182 computations (67.4% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite18.0ms (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))

series241.0ms (5.9%)

Counts

2 → 6

Calls

2 calls:

155.0ms	(/.f64 1 (log.f64 base))
86.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5118	875

prune67.0ms (1.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	77	15	92

Merged error: 0.0b

Counts

92 → 15

Compiler

Compiled 1148 to 504 computations (56.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite26.0ms (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))

series174.0ms (4.3%)

Counts

2 → 6

Calls

2 calls:

93.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
81.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))

simplify74.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4990	2327
1	4990	2327

prune96.0ms (2.4%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	4	8	12
Picked	0	1	1
Done	0	2	2
Total	126	14	140

Merged error: 0.0b

Counts

140 → 14

Compiler

Compiled 2033 to 590 computations (71% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite81.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

603×	`times-frac_binary64_83`
279×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77` `add-sqr-sqrt_binary64_98`
73×	`associate-/r*_binary64_23`
59×	`add-exp-log_binary64_112`
58×	`pow1_binary64_135`
52×	`log-pow_binary64_163`
43×	`div-exp_binary64_125`
23×	`div-inv_binary64_74`
19×	`add-cbrt-cube_binary64_110`
15×	`1-exp_binary64_118` `rec-exp_binary64_124`
10×	`cbrt-undiv_binary64_108`
9×	`associate-/l*_binary64_24`
6×	`associate-/r/_binary64_25`
5×	`pow-flip_binary64_148`
3×	`add-log-exp_binary64_113` `inv-pow_binary64_159` `clear-num_binary64_76` `frac-2neg_binary64_88`
1×	`remove-double-div_binary64_53`

Counts

3 → 374

Calls

3 calls:

17.0ms	(/.f64 1 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
7.0ms	(/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
3.0ms	(/.f64 (atan2.f64 im re) (log.f64 base))

series262.0ms (6.5%)

Counts

3 → 9

Calls

3 calls:

93.0ms	(/.f64 (atan2.f64 im re) (log.f64 base))
85.0ms	(/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
84.0ms	(/.f64 1 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))

simplify139.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

383 → 383

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4957	8069
1	4957	8069

prune277.0ms (6.8%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	382	1	383
Fresh	0	10	10
Picked	0	1	1
Done	0	3	3
Total	382	15	397

Merged error: 0.0b

Counts

397 → 15

Compiler

Compiled 6535 to 1917 computations (70.7% saved)

regimes144.0ms (3.6%)

Compiler: Compiled 1116 to 876 computations (21.5% 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%)

sample1.4s (34.5%)

Algorithm

1×

intervals

Results

821.0ms	8000×	body	128	valid
94.0ms	986×	body	128	nan

Compiler

Compiled 245 to 192 computations (21.6% saved)

Details

analyze441.0ms (10.9%)

sample42.0ms (1%)

simplify270.0ms (6.7%)

prune5.0ms (0.1%)

localize7.0ms (0.2%)

rewrite6.0ms (0.2%)

series90.0ms (2.2%)

simplify67.0ms (1.7%)

prune37.0ms (0.9%)

localize8.0ms (0.2%)

rewrite18.0ms (0.5%)

series241.0ms (5.9%)

simplify61.0ms (1.5%)

prune67.0ms (1.7%)

localize8.0ms (0.2%)

rewrite26.0ms (0.6%)

series174.0ms (4.3%)

simplify74.0ms (1.8%)

prune96.0ms (2.4%)

localize9.0ms (0.2%)

rewrite81.0ms (2%)

series262.0ms (6.5%)

simplify139.0ms (3.4%)

prune277.0ms (6.8%)

regimes144.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (34.5%)

Profiling