Details

analyze1.2s (9.1%)

Algorithm

2×	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%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	6
23.4%	51.5%	25.1%	7
23.4%	51.5%	25.1%	7
24.2%	50.7%	25.1%	8
24.2%	50.7%	25.1%	8
24.6%	50.3%	25.1%	9
24.6%	50.3%	25.1%	9
36.9%	25.5%	37.6%	10
36.9%	25.5%	37.6%	10
37.2%	25.3%	37.6%	11
37.2%	25.3%	37.6%	11
37.3%	25.1%	37.6%	12
37.3%	25.1%	37.6%	12
43.5%	12.7%	43.8%	13
43.5%	12.7%	43.8%	13
43.6%	12.6%	43.8%	14
43.6%	12.6%	43.8%	14

Symmetry

(sort re im)

Compiler

Compiled 58 to 42 computations (27.6% saved)

sample1.5s (11.5%)

Algorithm

2×

intervals

Results

55.0ms	502×	body	128	nan
53.0ms	512×	body	128	valid

Compiler

Compiled 15514 to 12836 computations (17.3% saved)

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5740	19

prune6.0ms (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

35.5b

Counts

2 → 2

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.4b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
33.0b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite120.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

35.4b

Rules

24×	`times-frac_binary64_425`
22×	`log-pow_binary64_508`
21×	`pow1_binary64_480`
17×	`add-sqr-sqrt_binary64_441`
16×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
6×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `associate-/l*_binary64_364`
5×	`add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
4×	`sqrt-div_binary64_436` `associate-/r*_binary64_363`
3×	`flip3-+_binary64_422` `flip-+_binary64_393` `sqrt-prod_binary64_435`
2×	`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` `sum-log_binary64_510` `+-commutative_binary64_349`

Counts

3 → 74

Calls

3 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)))
4.0ms	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 1643 to 318 computations (80.6% saved)

series883.0ms (6.6%)

Error

0.6b

Counts

3 → 45

Calls

3 calls:

533.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
186.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
124.0ms	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 1667 to 1361 computations (18.4% saved)

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5227	2398

prune125.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	110	9	119
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	111	10	121

Error

0.4b

Counts

121 → 10

Compiler

Compiled 2209 to 578 computations (73.8% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite41.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

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)

series447.0ms (3.4%)

Error

0.4b

Counts

1 → 6

Calls

1 calls:

443.0ms

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

Compiler

Compiled 162 to 158 computations (2.5% saved)

simplify131.0ms (1%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4903	671
1	4903	671

prune52.0ms (0.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	37	15	52

Error

0.4b

Counts

52 → 15

Compiler

Compiled 733 to 255 computations (65.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))
0.3b	(/.f64 (log.f64 base) (log.f64 (neg.f64 re)))

rewrite170.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

140×	`times-frac_binary64_425`
69×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
45×	`pow1_binary64_480`
42×	`log-pow_binary64_508`
24×	`associate-/r*_binary64_363`
15×	`add-exp-log_binary64_457`
9×	`add-cbrt-cube_binary64_455`
8×	`div-exp_binary64_470`
7×	`associate-/l*_binary64_364`
6×	`div-inv_binary64_416`
4×	`cbrt-undiv_binary64_453`
2×	`add-log-exp_binary64_458` `frac-2neg_binary64_430` `clear-num_binary64_418` `1-exp_binary64_463` `rec-exp_binary64_469`
1×	`inv-pow_binary64_504` `pow-flip_binary64_493` `associate-/r/_binary64_365`

Counts

2 → 140

Calls

2 calls:

8.0ms	(/.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)

series851.0ms (6.4%)

Error

0.4b

Counts

2 → 12

Calls

2 calls:

440.0ms	(/.f64 (log.f64 base) (log.f64 (neg.f64 re)))
403.0ms	(/.f64 1 (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))

Compiler

Compiled 360 to 345 computations (4.2% saved)

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5047	2918

prune142.0ms (1.1%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	1	12	13
Picked	0	1	1
Done	0	1	1
Total	151	16	167

Error

0.3b

Counts

167 → 16

Compiler

Compiled 2425 to 729 computations (69.9% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite122.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

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×	`add-log-exp_binary64_458` `associate-/l*_binary64_364` `rem-log-exp_binary64_460`
2×	`neg-mul-1_binary64_415` `div-inv_binary64_416` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `sqr-pow_binary64_391` `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)

series1.3s (9.6%)

Error

0.3b

Counts

3 → 15

Calls

3 calls:

695.0ms	(log.f64 (pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base))))
449.0ms	(pow.f64 (neg.f64 re) (/.f64 1 (log.f64 base)))
120.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 489 to 467 computations (4.5% saved)

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4881	1461
1	4881	1461

prune93.0ms (0.7%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	13	13
Picked	0	1	1
Done	0	2	2
Total	111	17	128

Error

0.3b

Counts

128 → 17

Compiler

Compiled 1369 to 642 computations (53.1% saved)

regimes1.6s (12.2%)

Accuracy

Total 9.3b remaining (97.2%)

Threshold costs 0b (0%)

Compiler

Compiled 5711 to 3816 computations (33.2% saved)

bsearch543.0ms (4.1%)

Steps

Iters	Range		Point
8	-2.198221555845511e-147	-8.610912247626822e-151	-2.1704890792695045e-147
8	-6.580186048393248e-66	-3.304711134982099e-69	-3.3543382104116615e-69
8	-6.008848246103646e-35	-1.8599836093216874e-39	-5.867956787373959e-35
9	-5542.275209604912	-1.3582680047709566e-05	-1.3795563888914072e-05
7	-1.3437482205229744e+45	-1.9476720969489903e+43	-5.60563964591766e+43

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	134
1	50	134

Compiler

Compiled 168 to 70 computations (58.3% saved)

end0.0ms (0%)

sample3.6s (26.8%)

Algorithm

1×

intervals

Results

835.0ms	8000×	body	128	valid
770.0ms	7931×	body	128	nan

Compiler

Compiled 1242 to 809 computations (34.9% saved)

Details

analyze1.2s (9.1%)

sample1.5s (11.5%)

simplify98.0ms (0.7%)

prune6.0ms (0%)

localize11.0ms (0.1%)

rewrite120.0ms (0.9%)

series883.0ms (6.6%)

simplify76.0ms (0.6%)

prune125.0ms (0.9%)

localize7.0ms (0.1%)

rewrite41.0ms (0.3%)

series447.0ms (3.4%)

simplify131.0ms (1%)

prune52.0ms (0.4%)

localize8.0ms (0.1%)

rewrite170.0ms (1.3%)

series851.0ms (6.4%)

simplify76.0ms (0.6%)

prune142.0ms (1.1%)

localize10.0ms (0.1%)

rewrite122.0ms (0.9%)

series1.3s (9.6%)

simplify90.0ms (0.7%)

prune93.0ms (0.7%)

regimes1.6s (12.2%)

bsearch543.0ms (4.1%)

simplify15.0ms (0.1%)

end0.0ms (0%)

sample3.6s (26.8%)

Profiling