Details

analyze333.0ms

Algorithm

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
25%	25%	50%	2
25%	25%	50%	3
31.2%	18.7%	50%	4
31.2%	18.7%	50%	5
34.3%	15.6%	50%	6
34.3%	15.6%	50%	7
35.9%	14%	50%	8
35.9%	14%	50%	9
36.7%	13.3%	50%	10
36.7%	13.3%	50%	11
37.1%	12.9%	50%	12
37.1%	12.9%	50%	13
37.3%	12.7%	50%	14

sample34.0ms

Algorithm

intervals

Results

9.0ms	201×	body	128	valid
6.0ms	22×	body	4096	valid
5.0ms	256×	pre	128	true
3.0ms	14×	body	2048	valid
2.0ms	12×	body	1024	valid
1.0ms	7×	body	512	valid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	249	23
1	249	23

prune1.0ms

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: 37.3b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.1b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
30.1b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`add-log-exp_binary64`
6×	`*-un-lft-identity_binary64`
4×	`pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`flip3-+_binary64` `difference-of-squares_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`sub-neg_binary64` `pow1/2_binary64` `flip3--_binary64` `diff-log_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

3 → 40

Calls

3 calls:

5.0ms	(+.f64 (.f64 re re) (.f64 im im))
9.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
5.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series138.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+.f64 (.f64 re re) (.f64 im im))
63.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
41.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify66.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4781	769
1	4781	769

prune55.0ms

Filtered

38 candidates to 49 candidates (-28.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	5	50

Merged error: 8.4b

Counts

50 → 5

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify6.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	0	0
Total	5	5

Merged error: 8.4b

Counts

5 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
6.5b	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))) re)
31.2b	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
31.2b	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
9×	`associate-r_binary64`
8×	`sqrt-prod_binary64`
6×	`cbrt-div_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `associate-l_binary64` `unswap-sqr_binary64` `flip-+_binary64`
2×	`associate-*r/_binary64` `pow1/3_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 65

Calls

4 calls:

11.0ms	(.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
10.0ms	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))) re)
4.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series607.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
151.0ms	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))) re)
133.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
123.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify104.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4858	2211
1	4858	2211

prune83.0ms

Filtered

65 candidates to 77 candidates (-18.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	76	6	82

Merged error: 8.4b

Counts

82 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

31.2b	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
31.2b	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
31.2b	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
31.2b	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
5.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
5.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
5.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series551.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
146.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
139.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
126.0ms	(cbrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify65.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5004	1172

prune92.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	64	6	70

Merged error: 8.4b

Counts

70 → 6

regimes142.0ms

Accuracy

44.1% (10.4b remaining)

Error of 21.0b against oracle of 10.6b and baseline of 29.2b

bsearch66.0ms

Steps

Iters	Range		Point
10	8117242608004678.0	7.477657188396207e+27	8204560787731892.0
7	-2.2093290315420688e-150	-2.971776395958336e-152	-3.018402613063608e-152
5	-3.1509029363881385e+82	-1.2822422644630797e+82	-2.8053883566464282e+82

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	112
1	65	112

end0.0ms

sample948.0ms

Algorithm

intervals

Results

278.0ms	6022×	body	128	valid
153.0ms	556×	body	4096	valid
145.0ms	646×	body	2048	valid
91.0ms	8000×	pre	128	true
78.0ms	441×	body	1024	valid
28.0ms	220×	body	512	valid
10.0ms	115×	body	256	valid

Details

analyze333.0ms

sample34.0ms

simplify26.0ms

prune1.0ms

localize10.0ms

rewrite22.0ms

series138.0ms

simplify66.0ms

prune55.0ms

localize6.0ms

rewrite0.0ms

series0.0ms

simplify6.0ms

prune4.0ms

localize14.0ms

rewrite41.0ms

series607.0ms

simplify104.0ms

prune83.0ms

localize17.0ms

rewrite27.0ms

series551.0ms

simplify65.0ms

prune92.0ms

regimes142.0ms

bsearch66.0ms

simplify3.0ms

end0.0ms

sample948.0ms

Profiling