Details

analyze337.0ms

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

sample35.0ms

Algorithm

intervals

Results

9.0ms	194×	body	80	valid
6.0ms	23×	body	2560	valid
3.0ms	15×	body	1280	valid
3.0ms	256×	pre	80	true
3.0ms	8×	body	5120	valid
2.0ms	9×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	1×	body	160	valid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	265	15
1	265	15

prune3.0ms

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: 38.6b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (.f64 2.0 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
0.4b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
31.4b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`pow1_binary64`
6×	`*-un-lft-identity_binary64`
5×	`add-log-exp_binary64` `sqrt-prod_binary64`
4×	`add-cube-cbrt_binary64` `sqrt-div_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64`
2×	`pow1/2_binary64` `flip3--_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64` `flip-+_binary64`

Counts

3 → 42

Calls

3 calls:

9.0ms	(sqrt.f64 (.f64 2.0 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
8.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
7.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series63.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(sqrt.f64 (.f64 2.0 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
14.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
17.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify30.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5010	608

prune81.0ms

Filtered

42 candidates to 51 candidates (-21.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	44	7	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	8	52

Merged error: 10.3b

Counts

52 → 8

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt.f64 (*.f64 2.0 (-.f64 im re)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1_binary64`
2×	`associate-*r/_binary64` `sqrt-pow1_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1/2_binary64` `flip3--_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64` `sqrt-prod_binary64`

Counts

1 → 13

Calls

1 calls:

5.0ms

(sqrt.f64 (*.f64 2.0 (-.f64 im re)))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(sqrt.f64 (*.f64 2.0 (-.f64 im re)))

simplify48.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5758	162

prune33.0ms

Filtered

13 candidates to 16 candidates (-23.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	15	9	24

Merged error: 10.3b

Counts

24 → 9

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (*.f64 2.0 (-.f64 im re)))
3.6b	(exp.f64 (log.f64 (sqrt.f64 (*.f64 2.0 (-.f64 im re)))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64`
7×	`exp-prod_binary64`
4×	`-un-lft-identity_binary64` `log-prod_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64` `log-pow_binary64` `sqrt-pow1_binary64` `exp-sum_binary64` `add-sqr-sqrt_binary64` `sqrt-div_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64` `pow1/2_binary64` `flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `exp-diff_binary64` `log-div_binary64` `flip--_binary64` `sqrt-prod_binary64`
1×	`rem-exp-log_binary64`

Counts

2 → 34

Calls

2 calls:

5.0ms	(sqrt.f64 (*.f64 2.0 (-.f64 im re)))
8.0ms	(exp.f64 (log.f64 (sqrt.f64 (*.f64 2.0 (-.f64 im re)))))

series39.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(sqrt.f64 (*.f64 2.0 (-.f64 im re)))
20.0ms	(exp.f64 (log.f64 (sqrt.f64 (*.f64 2.0 (-.f64 im re)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4951	382
1	4951	382

prune54.0ms

Filtered

28 candidates to 40 candidates (-42.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	39	10	49

Merged error: 10.3b

Counts

49 → 10

localize14.0ms

Local error

Found 1 expressions with local error:

3.9b	(pow.f64 (exp.f64 1/2) (log.f64 (*.f64 2.0 (-.f64 im re))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`pow-unpow_binary64` `pow1_binary64`
4×	`*-un-lft-identity_binary64` `pow-pow_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`unpow-prod-down_binary64` `exp-prod_binary64`
2×	`associate-*r/_binary64` `log-pow_binary64` `pow-sub_binary64` `log-div_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `log-prod_binary64` `sqr-pow_binary64` `add-exp-log_binary64` `unpow-prod-up_binary64` `add-cbrt-cube_binary64` `flip--_binary64` `pow-exp_binary64`

Counts

1 → 25

Calls

1 calls:

8.0ms

(pow.f64 (exp.f64 1/2) (log.f64 (*.f64 2.0 (-.f64 im re))))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(pow.f64 (exp.f64 1/2) (log.f64 (*.f64 2.0 (-.f64 im re))))

simplify66.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5076	321

prune30.0ms

Filtered

21 candidates to 28 candidates (-33.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	3	4	7
Picked	1	0	1
Done	1	1	2
Total	30	8	38

Merged error: 10.1b

Counts

38 → 8

regimes461.0ms

Accuracy

50.4% (10.2b remaining)

Error of 20.3b against oracle of 10.0b and baseline of 30.6b

bsearch54.0ms

Steps

Iters	Range	Point
8	1.5910882628693757e+50	1.997077409729872e+54	1.6159376490511677e+50
6	-2.26008391369202e-57	-2.7796175438424402e-58	-2.8173110054179868e-58
8	-7.908073286170721e+124	-6.8454521643222085e+121	-2.314214383594253e+124

Iters

Range

Point

1.5910882628693757e+50

1.997077409729872e+54

1.6159376490511677e+50

-2.26008391369202e-57

-2.7796175438424402e-58

-2.8173110054179868e-58

-7.908073286170721e+124

-6.8454521643222085e+121

-2.314214383594253e+124

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	61
1	56	61

end0.0ms

sample1.0s

Algorithm

intervals

Results

290.0ms	6004×	body	80	valid
206.0ms	739×	body	2560	valid
111.0ms	489×	body	1280	valid
101.0ms	8000×	pre	80	true
86.0ms	249×	body	5120	valid
51.0ms	282×	body	640	valid
21.0ms	158×	body	320	valid
7.0ms	79×	body	160	valid

Details

analyze337.0ms

sample35.0ms

simplify22.0ms

prune3.0ms

localize10.0ms

rewrite25.0ms

series63.0ms

simplify30.0ms

prune81.0ms

localize8.0ms

rewrite5.0ms

series20.0ms

simplify48.0ms

prune33.0ms

localize12.0ms

rewrite14.0ms

series39.0ms

simplify71.0ms

prune54.0ms

localize14.0ms

rewrite9.0ms

series48.0ms

simplify66.0ms

prune30.0ms

regimes461.0ms

bsearch54.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling