Details

analyze662.0ms

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

sample271.0ms

Algorithm

intervals

Results

186.0ms	136×	body	5120	exit
29.0ms	65×	body	1280	nan
19.0ms	256×	body	80	valid
15.0ms	52×	body	640	nan
5.0ms	29×	body	320	nan
1.0ms	5×	body	160	nan
1.0ms	8×	body	80	overflowed
0.0ms	4×	body	80	nan
0.0ms	2×	body	80	invalid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4914	7
1	4914	7

prune10.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (pow l (exp w)) (exp w))
0.3b	(pow l (exp w))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

21×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`unpow-prod-down`
7×	`associate-/l*`
5×	`add-exp-log` `sqr-pow`
4×	`add-cbrt-cube`
3×	`pow1` `pow-unpow` `div-exp` `associate-/r*`
2×	`pow-to-exp` `pow-exp` `add-log-exp`
1×	`cbrt-undiv` `pow-pow` `frac-2neg` `clear-num` `div-inv`

Counts

2 → 62

Calls

2 calls:

5.0ms	(/ (pow l (exp w)) (exp w))
2.0ms	(pow l (exp w))

series42.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (pow l (exp w)) (exp w))
16.0ms	(pow l (exp w))

simplify43.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5035	793

prune112.0ms

Filtered

49 candidates to 68 candidates (-38.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	60	8	68
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	62	8	70

Merged error: 0.1b

Counts

70 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`unpow-prod-down`
12×	`pow-unpow` `sqrt-prod`
8×	`sqrt-pow1`
7×	`pow1` `add-exp-log`
6×	`exp-prod`
5×	`pow-exp`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `sqr-pow`
2×	`rem-sqrt-square` `pow-pow` `pow1/2`

Counts

4 → 78

Calls

4 calls:

2.0ms	(sqrt (exp w))
4.0ms	(sqrt (exp w))
4.0ms	(pow (pow l (sqrt (exp w))) (sqrt (exp w)))
3.0ms	(pow l (sqrt (exp w)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp w))
3.0ms	(sqrt (exp w))
27.0ms	(pow (pow l (sqrt (exp w))) (sqrt (exp w)))
18.0ms	(pow l (sqrt (exp w)))

simplify36.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5003	698

prune131.0ms

Filtered

60 candidates to 90 candidates (-50.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	90	8	98

Merged error: 0.1b

Counts

98 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (pow l (sqrt (exp w))) (pow (exp 1) (/ w 2))) (exp w))
0.0b	(sqrt (exp w))
0.3b	(pow (pow l (sqrt (exp w))) (pow (exp 1) (/ w 2)))
0.3b	(pow l (sqrt (exp w)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

56×	`unpow-prod-down`
38×	`add-sqr-sqrt`
37×	`add-cube-cbrt` `*-un-lft-identity`
33×	`times-frac`
13×	`pow-unpow`
12×	`sqr-pow`
11×	`associate-/l*`
10×	`add-exp-log`
9×	`pow-exp`
6×	`pow1` `sqrt-prod` `add-cbrt-cube`
5×	`pow-to-exp` `div-exp`
4×	`sqrt-pow1` `add-log-exp`
3×	`exp-prod` `associate-/r*`
2×	`pow-pow`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `pow1/2` `clear-num` `div-inv`

Counts

4 → 126

Calls

4 calls:

7.0ms	(/ (pow (pow l (sqrt (exp w))) (pow (exp 1) (/ w 2))) (exp w))
2.0ms	(sqrt (exp w))
4.0ms	(pow (pow l (sqrt (exp w))) (pow (exp 1) (/ w 2)))
3.0ms	(pow l (sqrt (exp w)))

series95.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (pow (pow l (sqrt (exp w))) (pow (exp 1) (/ w 2))) (exp w))
3.0ms	(sqrt (exp w))
32.0ms	(pow (pow l (sqrt (exp w))) (pow (exp 1) (/ w 2)))
17.0ms	(pow l (sqrt (exp w)))

simplify100.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4951	2292
1	4951	2292

prune268.0ms

Filtered

101 candidates to 138 candidates (-36.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	138	8	146

Merged error: 0.1b

Counts

146 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp w))
0.2b	(pow (pow l (sqrt (exp w))) (fabs (cbrt (exp w))))
0.3b	(pow (pow (pow l (sqrt (exp w))) (fabs (cbrt (exp w)))) (sqrt (cbrt (exp w))))
0.3b	(pow l (sqrt (exp w)))

rewrite19.0ms

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))
3.0ms	(pow (pow l (sqrt (exp w))) (fabs (cbrt (exp w))))
8.0ms	(pow (pow (pow l (sqrt (exp w))) (fabs (cbrt (exp w)))) (sqrt (cbrt (exp w))))
3.0ms	(pow l (sqrt (exp w)))

series126.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt (exp w))
36.0ms	(pow (pow l (sqrt (exp w))) (fabs (cbrt (exp w))))
56.0ms	(pow (pow (pow l (sqrt (exp w))) (fabs (cbrt (exp w)))) (sqrt (cbrt (exp w))))
18.0ms	(pow l (sqrt (exp w)))

simplify48.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4982	1633
1	4982	1633

prune120.0ms

Filtered

67 candidates to 101 candidates (-50.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	101	8	109

Merged error: 0.1b

Counts

109 → 8

regimes137.0ms

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	10	23
1	10	23

end0.0ms

analyze664.0ms

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

5.9s	4688×	body	5120	exit
1.2s	2449×	body	1280	nan
558.0ms	2039×	body	640	nan
495.0ms	8000×	body	80	valid
181.0ms	1053×	body	320	nan
31.0ms	283×	body	160	nan
10.0ms	154×	body	80	overflowed
8.0ms	195×	body	80	nan
7.0ms	119×	body	80	invalid
2.0ms	2×	body	2560	nan
2.0ms	1×	body	5120	nan

Details

analyze662.0ms

sample271.0ms

simplify58.0ms

prune10.0ms

localize6.0ms

rewrite9.0ms

series42.0ms

simplify43.0ms

prune112.0ms

localize9.0ms

rewrite14.0ms

series50.0ms

simplify36.0ms

prune131.0ms

localize18.0ms

rewrite20.0ms

series95.0ms

simplify100.0ms

prune268.0ms

localize15.0ms

rewrite19.0ms

series126.0ms

simplify48.0ms

prune120.0ms

regimes137.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze664.0ms

sample8.9s

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