Details

analyze335.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
68.7%	31.2%	0.1%	7
68.7%	31.2%	0.1%	8
71.8%	28.1%	0.1%	9
71.8%	28.1%	0.1%	10
73.4%	26.5%	0.1%	11
73.4%	26.5%	0.1%	12
74.1%	25.8%	0.1%	13
74.1%	25.8%	0.1%	14

sample36.0ms

Algorithm

intervals

Results

12.0ms	191×	body	80	valid
6.0ms	22×	body	2560	valid
4.0ms	13×	body	5120	valid
4.0ms	17×	body	1280	valid
1.0ms	5×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	2×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	8
1	24	8
2	24	8

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: 40.6b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
0.7b	(+ (sqrt (+ (* re re) (* im im))) re)
31.6b	(sqrt (+ (* re re) (* im im)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1`
6×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-log-exp`
4×	`add-cube-cbrt` `sqrt-div` `sqrt-prod`
3×	`add-exp-log` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`pow1/2` `associate-*r/`
1×	`+-commutative` `rem-sqrt-square` `pow-prod-down` `sum-log` `distribute-lft-out`

Counts

3 → 40

Calls

3 calls:

7.0ms	(sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
6.0ms	(+ (sqrt (+ (* re re) (* im im))) re)
4.0ms	(sqrt (+ (* re re) (* im im)))

series35.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))
7.0ms	(+ (sqrt (+ (* re re) (* im im))) re)
6.0ms	(sqrt (+ (* re re) (* im im)))

simplify78.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	247	351
1	781	333
2	2656	327
3	5001	325

prune101.0ms

Filtered

42 candidates to 49 candidates (-16.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 20.4b

Counts

50 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))
5.7b	(exp (log (sqrt (+ (* re re) (* im im)))))
15.8b	(+ (exp (log (sqrt (+ (* re re) (* im im))))) re)
31.6b	(sqrt (+ (* re re) (* im im)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
7×	`sqrt-prod`
6×	`log-prod` `exp-prod` `sqrt-div` `exp-sum` `add-log-exp`
4×	`add-exp-log` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `flip-+`
3×	`pow1/2` `log-pow`
2×	`log-div` `exp-diff` `associate-*r/`
1×	`+-commutative` `rem-sqrt-square` `pow-prod-down` `sum-log` `rem-exp-log` `distribute-lft-out`

Counts

4 → 62

Calls

4 calls:

15.0ms	(sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))
7.0ms	(exp (log (sqrt (+ (* re re) (* im im)))))
16.0ms	(+ (exp (log (sqrt (+ (* re re) (* im im))))) re)
7.0ms	(sqrt (+ (* re re) (* im im)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))
7.0ms	(exp (log (sqrt (+ (* re re) (* im im)))))
8.0ms	(+ (exp (log (sqrt (+ (* re re) (* im im))))) re)
7.0ms	(sqrt (+ (* re re) (* im im)))

simplify85.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	293	581
1	851	533
2	2761	514
3	5001	505

prune139.0ms

Filtered

56 candidates to 74 candidates (-32.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	69	5	74
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	70	10	80

Merged error: 20.3b

Counts

80 → 10

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune29.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	8	8
Picked	1	1
Done	1	1
Total	10	10

Merged error: 20.3b

Counts

10 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))
6.2b	(pow E (log (sqrt (+ (* re re) (* im im)))))
15.8b	(+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)
31.6b	(sqrt (+ (* re re) (* im im)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`add-cube-cbrt`
7×	`sqrt-prod`
6×	`unpow-prod-up` `pow-unpow` `log-prod` `sqrt-div` `add-log-exp`
5×	`add-exp-log`
4×	`sqrt-pow1` `flip3-+` `add-cbrt-cube` `flip-+`
3×	`unpow-prod-down` `pow1/2` `log-pow`
2×	`log-div` `associate-*r/` `pow-exp` `pow-sub`
1×	`+-commutative` `pow-to-exp` `rem-sqrt-square` `e-exp-1` `pow-pow` `pow-prod-down` `sum-log` `distribute-lft-out` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

11.0ms	(sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))
6.0ms	(pow E (log (sqrt (+ (* re re) (* im im)))))
9.0ms	(+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)
4.0ms	(sqrt (+ (* re re) (* im im)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))
22.0ms	(pow E (log (sqrt (+ (* re re) (* im im)))))
16.0ms	(+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)
6.0ms	(sqrt (+ (* re re) (* im im)))

simplify44.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	450	777
1	1437	748
2	5001	720

prune111.0ms

Filtered

61 candidates to 81 candidates (-32.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	77	4	81
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	79	12	91

Merged error: 20.2b

Counts

91 → 12

regimes827.0ms

Accuracy

56.5% (9.2b remaining)

Error of 26.7b against oracle of 17.5b and baseline of 38.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	41
1	39	41

end0.0ms

analyze314.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
68.7%	31.2%	0.1%	7
68.7%	31.2%	0.1%	8
71.8%	28.1%	0.1%	9
71.8%	28.1%	0.1%	10
73.4%	26.5%	0.1%	11
73.4%	26.5%	0.1%	12
74.1%	25.8%	0.1%	13
74.1%	25.8%	0.1%	14

sample967.0ms

Algorithm

intervals

Results

305.0ms	6048×	body	80	valid
199.0ms	683×	body	2560	valid
117.0ms	485×	body	1280	valid
100.0ms	275×	body	5120	valid
58.0ms	287×	body	640	valid
20.0ms	144×	body	320	valid
7.0ms	78×	body	160	valid

Details

analyze335.0ms

sample36.0ms

simplify5.0ms

prune3.0ms

localize10.0ms

rewrite123.0ms

series35.0ms

simplify78.0ms

prune101.0ms

localize15.0ms

rewrite47.0ms

series49.0ms

simplify85.0ms

prune139.0ms

localize6.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune29.0ms

localize23.0ms

rewrite32.0ms

series67.0ms

simplify44.0ms

prune111.0ms

regimes827.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

analyze314.0ms

sample967.0ms

Profiling