Details

analyze665.0ms (7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4994	76
1	4994	76
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

Symmetry

(sort re im)

Compiler

Compiled 29 to 21 computations (27.6% saved)

sample50.0ms (0.5%)

Algorithm

1×

intervals

Results

28.0ms	256×	body	128	valid
2.0ms	26×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify106.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5740	19

prune5.0ms (0%)

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

30.5b

Counts

2 → 2

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
28.2b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite82.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

30.4b

Rules

24×	`times-frac_binary64_84`
22×	`log-pow_binary64_167`
20×	`pow1_binary64_139`
16×	`add-sqr-sqrt_binary64_100`
15×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
6×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `associate-/l*_binary64_23`
4×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `sqrt-div_binary64_95` `associate-/r*_binary64_22`
3×	`sqrt-prod_binary64_94`
2×	`add-log-exp_binary64_117` `flip3-+_binary64_81` `flip-+_binary64_52` `log-div_binary64_165` `div-sub_binary64_83`
1×	`rem-sqrt-square_binary64_91` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75`

Counts

2 → 63

Calls

2 calls:

8.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 1410 to 262 computations (81.4% saved)

series617.0ms (6.5%)

Error

0.5b

Counts

2 → 38

Calls

2 calls:

457.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
124.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 1667 to 1305 computations (21.7% saved)

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4959	2415
1	4959	2415

prune96.0ms (1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	89	12	101
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	91	12	103

Error

0.4b

Counts

103 → 12

Compiler

Compiled 2101 to 616 computations (70.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

16×	`times-frac_binary64_84`
11×	`pow1_binary64_139` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
10×	`log-pow_binary64_167`
4×	`associate-/l_binary64_23` `associate-/r_binary64_22`
3×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
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 → 36

Calls

1 calls:

4.0ms

(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

Compiler

Compiled 484 to 120 computations (75.2% saved)

series269.0ms (2.8%)

Error

0.4b

Counts

1 → 6

Calls

1 calls:

265.0ms

(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

Compiler

Compiled 162 to 158 computations (2.5% saved)

simplify133.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4903	671
1	4903	671

prune43.0ms (0.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	39	15	54

Error

0.3b

Counts

54 → 15

Compiler

Compiled 717 to 242 computations (66.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 (log.f64 base) (log.f64 (neg.f64 re)))
0.2b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))

rewrite136.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

140×	`times-frac_binary64_84`
69×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
45×	`pow1_binary64_139`
42×	`log-pow_binary64_167`
24×	`associate-/r*_binary64_22`
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×	`1-exp_binary64_122` `rec-exp_binary64_128` `add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`inv-pow_binary64_163` `pow-flip_binary64_152` `associate-/r/_binary64_24`

Counts

2 → 140

Calls

2 calls:

7.0ms	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
4.0ms	(/.f64 (log.f64 base) (log.f64 (neg.f64 re)))

Compiler

Compiled 2524 to 930 computations (63.2% saved)

series528.0ms (5.6%)

Error

0.3b

Counts

2 → 12

Calls

2 calls:

262.0ms	(/.f64 (log.f64 base) (log.f64 (neg.f64 re)))
260.0ms	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))

Compiler

Compiled 360 to 345 computations (4.2% saved)

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5047	2918

prune116.0ms (1.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	149	3	152
Fresh	3	10	13
Picked	1	0	1
Done	0	1	1
Total	153	14	167

Error

0.3b

Counts

167 → 14

Compiler

Compiled 2392 to 704 computations (70.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
0.2b	(/.f64 1 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
0.2b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

rewrite612.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

767×	`times-frac_binary64_84`
328×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
144×	`pow1_binary64_139`
138×	`log-pow_binary64_167`
89×	`associate-/r*_binary64_22`
59×	`add-exp-log_binary64_116`
43×	`div-exp_binary64_129`
23×	`div-inv_binary64_75`
19×	`add-cbrt-cube_binary64_114`
15×	`1-exp_binary64_122` `rec-exp_binary64_128`
10×	`cbrt-undiv_binary64_112` `associate-/l*_binary64_23`
6×	`associate-/r/_binary64_24`
5×	`pow-flip_binary64_152`
3×	`add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77` `inv-pow_binary64_163`
1×	`remove-double-div_binary64_54`

Counts

3 → 443

Calls

3 calls:

17.0ms	(/.f64 1 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
8.0ms	(/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
5.0ms	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

Compiler

Compiled 10299 to 5096 computations (50.5% saved)

series784.0ms (8.2%)

Error

0.3b

Counts

3 → 18

Calls

3 calls:

270.0ms	(/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
260.0ms	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
244.0ms	(/.f64 1 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))

Compiler

Compiled 594 to 567 computations (4.5% saved)

simplify173.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

461 → 461

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4952	10036
1	4952	10036

prune346.0ms (3.6%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	461	0	461
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	461	14	475

Error

0.3b

Counts

475 → 14

Compiler

Compiled 7655 to 2380 computations (68.9% saved)

regimes1.8s (18.4%)

Accuracy

Total 7.4b remaining (95.7%)

Threshold costs 0b (0%)

Compiler

Compiled 8340 to 5223 computations (37.4% saved)

bsearch178.0ms (1.9%)

Steps

Iters	Range		Point
8	2.115353211049375e+132	1.2912246725557097e+136	2.710211708158825e+132
6	4.9681269447835174e-88	3.498351101024921e-87	5.022386159581915e-88

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	49
1	31	49

Compiler

Compiled 62 to 42 computations (32.3% saved)

end0.0ms (0%)

sample2.6s (27.3%)

Algorithm

1×

intervals

Results

810.0ms	8000×	body	128	valid
93.0ms	975×	body	128	nan

Compiler

Compiled 1440 to 905 computations (37.2% saved)

Details

analyze665.0ms (7%)

sample50.0ms (0.5%)

simplify106.0ms (1.1%)

prune5.0ms (0%)

localize10.0ms (0.1%)

rewrite82.0ms (0.9%)

series617.0ms (6.5%)

simplify75.0ms (0.8%)

prune96.0ms (1%)

localize6.0ms (0.1%)

rewrite35.0ms (0.4%)

series269.0ms (2.8%)

simplify133.0ms (1.4%)

prune43.0ms (0.5%)

localize8.0ms (0.1%)

rewrite136.0ms (1.4%)

series528.0ms (5.6%)

simplify79.0ms (0.8%)

prune116.0ms (1.2%)

localize9.0ms (0.1%)

rewrite612.0ms (6.4%)

series784.0ms (8.2%)

simplify173.0ms (1.8%)

prune346.0ms (3.6%)

regimes1.8s (18.4%)

bsearch178.0ms (1.9%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample2.6s (27.3%)

Profiling