Details

analyze655.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
31.2%	68.7%	0.1%	5
31.2%	59.3%	9.5%	6
34.3%	54.6%	11%	7
34.3%	49.2%	16.5%	8
35.9%	46.4%	17.7%	9
35.9%	42.1%	22%	10
36.7%	40.6%	22.7%	11
36.7%	39.1%	24.2%	12
37.1%	38.3%	24.7%	13
37.1%	36.7%	26.2%	14

sample319.0ms

Algorithm

intervals

Results

214.0ms	168×	body	5120	exit
36.0ms	84×	body	1280	nan
24.0ms	78×	body	640	nan
16.0ms	256×	body	80	valid
7.0ms	40×	body	320	nan
3.0ms	8×	body	80	nan
1.0ms	14×	body	160	nan
0.0ms	3×	body	80	overflowed
0.0ms	1×	body	80	invalid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4914	7
1	4914	7

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.3b

Counts

2 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (exp (neg w)) (pow l (exp w)))
0.3b	(pow l (exp w))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `unpow-prod-down` `-un-lft-identity` `associate-r*`
5×	`add-exp-log`
4×	`add-cbrt-cube`
3×	`pow1` `pow-unpow` `associate-l` `prod-exp` `unswap-sqr` `sqr-pow`
2×	`pow-to-exp` `associate-*l/` `pow-exp` `add-log-exp`
1×	`neg-sub0` `exp-neg` `pow-pow` `exp-diff` `*-commutative` `cbrt-unprod`

Counts

2 → 44

Calls

2 calls:

8.0ms	(* (exp (neg w)) (pow l (exp w)))
2.0ms	(pow l (exp w))

series38.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(* (exp (neg w)) (pow l (exp w)))
16.0ms	(pow l (exp w))

simplify36.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5008	472

prune67.0ms

Filtered

33 candidates to 50 candidates (-51.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	45	5	50
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	47	5	52

Merged error: 0.1b

Counts

52 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp w))
0.0b	(* (exp (neg w)) (pow (pow l (sqrt (exp w))) (sqrt (exp w))))
0.3b	(pow (pow l (sqrt (exp w))) (sqrt (exp w)))
0.3b	(pow l (sqrt (exp w)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

27×	`unpow-prod-down`
26×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow-unpow`
11×	`associate-r`
10×	`add-exp-log`
9×	`pow-exp` `sqrt-prod`
7×	`sqr-pow`
6×	`pow1` `add-cbrt-cube`
5×	`pow-to-exp` `prod-exp` `unswap-sqr`
4×	`sqrt-pow1` `add-log-exp`
3×	`exp-prod` `associate-l`
2×	`pow-pow` `associate-*l/`
1×	`neg-sub0` `exp-neg` `rem-sqrt-square` `pow1/2` `exp-diff` `*-commutative` `cbrt-unprod`

Counts

4 → 97

Calls

4 calls:

2.0ms	(sqrt (exp w))
10.0ms	(* (exp (neg w)) (pow (pow l (sqrt (exp w))) (sqrt (exp w))))
4.0ms	(pow (pow l (sqrt (exp w))) (sqrt (exp w)))
3.0ms	(pow l (sqrt (exp w)))

series87.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp w))
39.0ms	(* (exp (neg w)) (pow (pow l (sqrt (exp w))) (sqrt (exp w))))
27.0ms	(pow (pow l (sqrt (exp w))) (sqrt (exp w)))
17.0ms	(pow l (sqrt (exp w)))

simplify45.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5585	1080

prune116.0ms

Filtered

70 candidates to 109 candidates (-55.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	108	6	114

Merged error: 0.1b

Counts

114 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp w))
0.3b	(pow (pow l (fabs (cbrt (exp w)))) (sqrt (cbrt (exp w))))
0.3b	(pow (pow (pow l (fabs (cbrt (exp w)))) (sqrt (cbrt (exp w)))) (sqrt (exp w)))
0.3b	(pow l (fabs (cbrt (exp w))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

34×	`unpow-prod-down`
18×	`pow-unpow`
17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`pow-exp`
10×	`add-exp-log`
9×	`sqrt-prod`
6×	`cbrt-prod` `pow-to-exp` `sqr-pow`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-pow`
1×	`pow1/3`

Counts

4 → 89

Calls

4 calls:

2.0ms	(cbrt (exp w))
4.0ms	(pow (pow l (fabs (cbrt (exp w)))) (sqrt (cbrt (exp w))))
5.0ms	(pow (pow (pow l (fabs (cbrt (exp w)))) (sqrt (cbrt (exp w)))) (sqrt (exp w)))
2.0ms	(pow l (fabs (cbrt (exp w))))

series127.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt (exp w))
37.0ms	(pow (pow l (fabs (cbrt (exp w)))) (sqrt (cbrt (exp w))))
58.0ms	(pow (pow (pow l (fabs (cbrt (exp w)))) (sqrt (cbrt (exp w)))) (sqrt (exp w)))
17.0ms	(pow l (fabs (cbrt (exp w))))

simplify54.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4950	1671
1	4950	1671

prune132.0ms

Filtered

65 candidates to 101 candidates (-55.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	100	7	107

Merged error: 0.1b

Counts

107 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp w))
0.3b	(pow (pow l (fabs (cbrt (exp w)))) (sqrt (pow (exp w) 1/3)))
0.3b	(pow (pow (pow l (fabs (cbrt (exp w)))) (sqrt (pow (exp w) 1/3))) (sqrt (exp w)))
0.3b	(pow l (fabs (cbrt (exp w))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

37×	`unpow-prod-down`
19×	`pow-unpow`
17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`pow-exp`
10×	`add-exp-log` `sqrt-prod`
7×	`sqr-pow`
6×	`pow-to-exp`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `pow-pow`
1×	`pow1/3`

Counts

4 → 90

Calls

4 calls:

2.0ms	(cbrt (exp w))
5.0ms	(pow (pow l (fabs (cbrt (exp w)))) (sqrt (pow (exp w) 1/3)))
5.0ms	(pow (pow (pow l (fabs (cbrt (exp w)))) (sqrt (pow (exp w) 1/3))) (sqrt (exp w)))
2.0ms	(pow l (fabs (cbrt (exp w))))

series129.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt (exp w))
37.0ms	(pow (pow l (fabs (cbrt (exp w)))) (sqrt (pow (exp w) 1/3)))
57.0ms	(pow (pow (pow l (fabs (cbrt (exp w)))) (sqrt (pow (exp w) 1/3))) (sqrt (exp w)))
18.0ms	(pow l (fabs (cbrt (exp w))))

simplify68.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4997	1679
1	4997	1679

prune127.0ms

Filtered

68 candidates to 102 candidates (-50.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	101	8	109

Merged error: 0.1b

Counts

109 → 8

regimes126.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	26
1	18	26

end0.0ms

analyze658.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
31.2%	68.7%	0.1%	5
31.2%	59.3%	9.5%	6
34.3%	54.6%	11%	7
34.3%	49.2%	16.5%	8
35.9%	46.4%	17.7%	9
35.9%	42.1%	22%	10
36.7%	40.6%	22.7%	11
36.7%	39.1%	24.2%	12
37.1%	38.3%	24.7%	13
37.1%	36.7%	26.2%	14

sample8.9s

Algorithm

intervals

Results

6.2s	4940×	body	5120	exit
1.0s	2429×	body	1280	nan
564.0ms	2081×	body	640	nan
486.0ms	8000×	body	80	valid
168.0ms	984×	body	320	nan
31.0ms	317×	body	160	nan
10.0ms	246×	body	80	nan
10.0ms	148×	body	80	overflowed
7.0ms	119×	body	80	invalid
4.0ms	2×	body	5120	nan
3.0ms	3×	body	2560	nan

Details

analyze655.0ms

sample319.0ms

simplify59.0ms

prune9.0ms

localize11.0ms

rewrite11.0ms

series38.0ms

simplify36.0ms

prune67.0ms

localize13.0ms

rewrite21.0ms

series87.0ms

simplify45.0ms

prune116.0ms

localize16.0ms

rewrite16.0ms

series127.0ms

simplify54.0ms

prune132.0ms

localize18.0ms

rewrite16.0ms

series129.0ms

simplify68.0ms

prune127.0ms

regimes126.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze658.0ms

sample8.9s

Profiling