Details

analyze671.0ms (7.5%)

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)

sample52.0ms (0.6%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
3.0ms	33×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify104.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5740	19

prune4.0ms (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

33.5b

Counts

2 → 2

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.4b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
31.2b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite87.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

33.4b

Rules

24×	`times-frac_binary64_425`
22×	`log-pow_binary64_508`
20×	`pow1_binary64_480`
16×	`add-sqr-sqrt_binary64_441`
15×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
6×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `associate-/l*_binary64_364`
4×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `sqrt-div_binary64_436` `associate-/r*_binary64_363`
3×	`sqrt-prod_binary64_435`
2×	`add-log-exp_binary64_458` `flip3-+_binary64_422` `flip-+_binary64_393` `log-div_binary64_506` `div-sub_binary64_424`
1×	`rem-sqrt-square_binary64_432` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416`

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)

series541.0ms (6.1%)

Error

0.5b

Counts

2 → 34

Calls

2 calls:

394.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
116.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 1456 to 1154 computations (20.7% saved)

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5068	2216

prune95.0ms (1.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	85	12	97
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	86	13	99

Error

0.4b

Counts

99 → 13

Compiler

Compiled 1997 to 567 computations (71.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

rewrite39.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

16×	`times-frac_binary64_425`
11×	`pow1_binary64_480` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
10×	`log-pow_binary64_508`
4×	`associate-/l_binary64_364` `associate-/r_binary64_363`
3×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
1×	`div-exp_binary64_470` `add-log-exp_binary64_458` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416`

Counts

1 → 36

Calls

1 calls:

5.0ms

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

Compiler

Compiled 484 to 120 computations (75.2% saved)

series272.0ms (3%)

Error

0.4b

Counts

1 → 6

Calls

1 calls:

268.0ms

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

Compiler

Compiled 162 to 158 computations (2.5% saved)

simplify136.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4903	671
1	4903	671

prune49.0ms (0.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	33	9	42
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	37	18	55

Error

0.3b

Counts

55 → 18

Compiler

Compiled 795 to 290 computations (63.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 1 (log.f64 base))
0.3b	(pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base)))
0.4b	(log.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base))))

rewrite105.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

27×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
24×	`times-frac_binary64_425`
20×	`unpow-prod-down_binary64_498`
16×	`pow-unpow_binary64_496`
14×	`log-prod_binary64_505`
12×	`pow1_binary64_480`
10×	`add-exp-log_binary64_457`
8×	`log-pow_binary64_508`
6×	`distribute-rgt-neg-in_binary64_377` `distribute-lft-neg-in_binary64_376`
5×	`add-cbrt-cube_binary64_455`
4×	`associate-/r*_binary64_363`
3×	`rem-log-exp_binary64_460` `add-log-exp_binary64_458` `associate-/l*_binary64_364`
2×	`neg-mul-1_binary64_415` `sqr-pow_binary64_391` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `div-inv_binary64_416` `div-exp_binary64_470`
1×	`pow-pow_binary64_491` `inv-pow_binary64_504` `pow-flip_binary64_493` `1-exp_binary64_463` `rec-exp_binary64_469` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418`

Counts

3 → 97

Calls

3 calls:

5.0ms	(pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base)))
4.0ms	(log.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base))))
3.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 1480 to 843 computations (43% saved)

series824.0ms (9.2%)

Error

0.3b

Counts

3 → 15

Calls

3 calls:

439.0ms	(log.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base))))
288.0ms	(pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base)))
84.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 489 to 467 computations (4.5% saved)

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4881	1461
1	4881	1461

prune100.0ms (1.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	6	11	17
Picked	0	1	1
Done	0	0	0
Total	114	16	130

Error

0.2b

Counts

130 → 16

Compiler

Compiled 1621 to 814 computations (49.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (log.f64 base))
0.3b	(/.f64 2 (log.f64 base))
0.6b	(cbrt.f64 (neg.f64 re))
0.6b	(cbrt.f64 (neg.f64 re))

rewrite118.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

32×	`times-frac_binary64_425`
30×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
20×	`cbrt-prod_binary64_450` `log-pow_binary64_508`
19×	`pow1_binary64_480`
8×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `associate-/l_binary64_364` `associate-/r_binary64_363`
7×	`pow1/3_binary64_501`
6×	`distribute-rgt-neg-in_binary64_377` `distribute-lft-neg-in_binary64_376`
4×	`add-log-exp_binary64_458`
2×	`neg-mul-1_binary64_415` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416`

Counts

4 → 108

Calls

4 calls:

5.0ms	(/.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (log.f64 base))
3.0ms	(/.f64 2 (log.f64 base))
2.0ms	(cbrt.f64 (neg.f64 re))
2.0ms	(cbrt.f64 (neg.f64 re))

Compiler

Compiled 2521 to 817 computations (67.6% saved)

series673.0ms (7.5%)

Error

0.2b

Counts

4 → 15

Calls

4 calls:

404.0ms	(/.f64 (log.f64 (cbrt.f64 (neg.f64 re))) (log.f64 base))
87.0ms	(/.f64 2 (log.f64 base))
86.0ms	(cbrt.f64 (neg.f64 re))
81.0ms	(cbrt.f64 (neg.f64 re))

Compiler

Compiled 912 to 704 computations (22.8% saved)

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5336	1615

prune108.0ms (1.2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	13	14
Picked	0	1	1
Done	0	1	1
Total	123	16	139

Error

0.2b

Counts

139 → 16

Compiler

Compiled 2674 to 885 computations (66.9% saved)

regimes1.6s (18%)

Accuracy

Total 7.2b remaining (95.5%)

Threshold costs 0b (0%)

Compiler

Compiled 6356 to 4196 computations (34% saved)

bsearch261.0ms (2.9%)

Steps

Iters	Range		Point
8	1673395142.2469485	3452406781557.3574	3405112739875.1157
11	1.1645574019993802e-162	3.74042192984609e-143	1.1821334296782616e-162

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	67
1	35	67

Compiler

Compiled 84 to 48 computations (42.9% saved)

end0.0ms (0%)

sample2.8s (31.3%)

Algorithm

1×

intervals

Results

816.0ms	8000×	body	128	valid
90.0ms	985×	body	128	nan

Compiler

Compiled 1329 to 874 computations (34.2% saved)

Details

analyze671.0ms (7.5%)

sample52.0ms (0.6%)

simplify104.0ms (1.2%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite87.0ms (1%)

series541.0ms (6.1%)

simplify67.0ms (0.7%)

prune95.0ms (1.1%)

localize6.0ms (0.1%)

rewrite39.0ms (0.4%)

series272.0ms (3%)

simplify136.0ms (1.5%)

prune49.0ms (0.5%)

localize9.0ms (0.1%)

rewrite105.0ms (1.2%)

series824.0ms (9.2%)

simplify95.0ms (1.1%)

prune100.0ms (1.1%)

localize14.0ms (0.2%)

rewrite118.0ms (1.3%)

series673.0ms (7.5%)

simplify66.0ms (0.7%)

prune108.0ms (1.2%)

regimes1.6s (18%)

bsearch261.0ms (2.9%)

simplify12.0ms (0.1%)

end0.0ms (0%)

sample2.8s (31.3%)

Profiling