Details

analyze420.0ms (11.5%)

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)

sample40.0ms (1.1%)

Algorithm

1×

intervals

Results

27.0ms	256×	body	128	valid
3.0ms	36×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify270.0ms (7.4%)

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)

localize8.0ms (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:

3.0ms

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

series85.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

85.0ms

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

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4931	518
1	4931	518

prune42.0ms (1.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	21	13	34
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	22	14	36

Merged error: 0.0b

Counts

36 → 14

Compiler

Compiled 620 to 213 computations (65.6% saved)

localize8.0ms (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))

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)))
4.0ms	(/.f64 1 (log.f64 base))

series214.0ms (5.9%)

Counts

2 → 6

Calls

2 calls:

136.0ms	(/.f64 1 (log.f64 base))
78.0ms	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

simplify64.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5118	875

prune70.0ms (1.9%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	78	16	94

Merged error: 0.0b

Counts

94 → 16

Compiler

Compiled 1198 to 519 computations (56.7% saved)

localize8.0ms (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)))

rewrite26.0ms (0.7%)

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:

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

series183.0ms (5%)

Counts

2 → 6

Calls

2 calls:

94.0ms	(/.f64 (log.f64 base) (atan2.f64 im re))
89.0ms	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

simplify74.0ms (2%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4990	2327
1	4990	2327

prune100.0ms (2.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	121	4	125
Fresh	2	12	14
Picked	1	0	1
Done	0	1	1
Total	124	17	141

Merged error: 0.0b

Counts

141 → 17

Compiler

Compiled 2131 to 637 computations (70.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (atan2.f64 im re))
0.3b	(*.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))
0.4b	(/.f64 1 (*.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))))

rewrite30.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-exp-log_binary64_112`
28×	`add-sqr-sqrt_binary64_98`
23×	`times-frac_binary64_83`
22×	`*-un-lft-identity_binary64_77`
21×	`add-cube-cbrt_binary64_109`
20×	`div-exp_binary64_125`
19×	`add-cbrt-cube_binary64_110`
16×	`prod-exp_binary64_123`
13×	`associate-r_binary64_19`
10×	`1-exp_binary64_118` `pow1_binary64_135` `rec-exp_binary64_124`
6×	`cbrt-undiv_binary64_108` `associate-/l*_binary64_24`
4×	`associate-/r_binary64_23` `associate-l*_binary64_20` `cbrt-unprod_binary64_107`
3×	`add-log-exp_binary64_113` `unswap-sqr_binary64_45` `pow-flip_binary64_148` `div-inv_binary64_74`
2×	`pow-prod-down_binary64_145` `inv-pow_binary64_159` `associate-*r/_binary64_21` `associate-/r/_binary64_25` `clear-num_binary64_76` `un-div-inv_binary64_75` `frac-2neg_binary64_88`
1×	`*-commutative_binary64_10` `log-pow_binary64_163`

Counts

3 → 108

Calls

3 calls:

10.0ms	(*.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))
8.0ms	(/.f64 1 (*.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))))
3.0ms	(/.f64 1 (atan2.f64 im re))

series213.0ms (5.8%)

Counts

3 → 9

Calls

3 calls:

89.0ms	(/.f64 1 (*.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))))
89.0ms	(*.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))
35.0ms	(/.f64 1 (atan2.f64 im re))

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4913	1313
1	4913	1313

prune76.0ms (2.1%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	14	15
Picked	0	1	1
Done	0	1	1
Total	117	17	134

Merged error: 0.0b

Counts

134 → 17

Compiler

Compiled 1445 to 567 computations (60.8% saved)

regimes129.0ms (3.5%)

Compiler: Compiled 1086 to 738 computations (32% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	11	12

end0.0ms (0%)

sample1.4s (38.7%)

Algorithm

1×

intervals

Results

800.0ms	8000×	body	128	valid
92.0ms	1013×	body	128	nan

Compiler

Compiled 306 to 210 computations (31.4% saved)

Details

analyze420.0ms (11.5%)

sample40.0ms (1.1%)

simplify270.0ms (7.4%)

prune5.0ms (0.1%)

localize8.0ms (0.2%)

rewrite6.0ms (0.2%)

series85.0ms (2.3%)

simplify63.0ms (1.7%)

prune42.0ms (1.2%)

localize8.0ms (0.2%)

rewrite18.0ms (0.5%)

series214.0ms (5.9%)

simplify64.0ms (1.8%)

prune70.0ms (1.9%)

localize8.0ms (0.2%)

rewrite26.0ms (0.7%)

series183.0ms (5%)

simplify74.0ms (2%)

prune100.0ms (2.7%)

localize9.0ms (0.2%)

rewrite30.0ms (0.8%)

series213.0ms (5.8%)

simplify73.0ms (2%)

prune76.0ms (2.1%)

regimes129.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.4s (38.7%)

Profiling