Details

analyze647.0ms

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

sample260.0ms

Algorithm

intervals

Results

173.0ms	142×	body	5120	exit
29.0ms	70×	body	1280	nan
17.0ms	53×	body	640	nan
17.0ms	256×	body	80	valid
6.0ms	38×	body	320	nan
0.0ms	11×	body	80	nan
0.0ms	4×	body	160	nan
0.0ms	3×	body	80	invalid
0.0ms	3×	body	80	overflowed

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5044	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: 0.4b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (pow l (exp w)) (exp w))
0.5b	(pow l (exp w))

rewrite12.0ms

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:

8.0ms	(/ (pow l (exp w)) (exp w))
2.0ms	(pow l (exp w))

series40.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (pow l (exp w)) (exp w))
17.0ms	(pow l (exp w))

simplify45.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4945	794
1	4945	794

prune97.0ms

Filtered

49 candidates to 68 candidates (-38.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	63	7	70

Merged error: 0.2b

Counts

70 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp w))
0.0b	(/ (pow (pow l (sqrt (exp w))) (sqrt (exp w))) (exp w))
0.4b	(pow (pow l (sqrt (exp w))) (sqrt (exp w)))
0.4b	(pow l (sqrt (exp w)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

53×	`unpow-prod-down`
38×	`add-sqr-sqrt`
37×	`add-cube-cbrt` `*-un-lft-identity`
33×	`times-frac`
12×	`pow-unpow`
11×	`associate-/l*` `sqr-pow`
10×	`add-exp-log`
9×	`pow-exp` `sqrt-prod`
6×	`pow1` `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 → 125

Calls

4 calls:

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

series89.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp w))
37.0ms	(/ (pow (pow l (sqrt (exp w))) (sqrt (exp w))) (exp w))
31.0ms	(pow (pow l (sqrt (exp w))) (sqrt (exp w)))
18.0ms	(pow l (sqrt (exp w)))

simplify40.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5419	1708

prune160.0ms

Filtered

94 candidates to 137 candidates (-45.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	2	3	5
Picked	1	0	1
Done	1	0	1
Total	138	6	144

Merged error: 0.2b

Counts

144 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (exp w)))
0.4b	(pow (pow (pow l (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w)))) (sqrt (exp w)))
0.5b	(pow l (sqrt (sqrt (exp w))))
0.5b	(pow (pow l (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

34×	`unpow-prod-down`
31×	`sqrt-prod`
24×	`pow-unpow`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
14×	`pow-exp`
10×	`add-exp-log` `sqrt-pow1`
7×	`pow1`
6×	`pow-to-exp` `sqr-pow`
4×	`add-cbrt-cube` `add-log-exp`
3×	`exp-prod` `pow-pow`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 106

Calls

4 calls:

3.0ms	(sqrt (sqrt (exp w)))
5.0ms	(pow (pow (pow l (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w)))) (sqrt (exp w)))
3.0ms	(pow l (sqrt (sqrt (exp w))))
4.0ms	(pow (pow l (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w))))

series126.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (sqrt (exp w)))
54.0ms	(pow (pow (pow l (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w)))) (sqrt (exp w)))
20.0ms	(pow l (sqrt (sqrt (exp w))))
36.0ms	(pow (pow l (sqrt (sqrt (exp w)))) (sqrt (sqrt (exp w))))

simplify62.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4917	1259
1	4917	1259

prune154.0ms

Filtered

73 candidates to 118 candidates (-61.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	117	7	124

Merged error: 0.2b

Counts

124 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt l) (cbrt l))
0.6b	(cbrt l)
0.6b	(cbrt l)
0.6b	(cbrt l)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt l) (cbrt l))
1.0ms	(cbrt l)
1.0ms	(cbrt l)
1.0ms	(cbrt l)

series94.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt l) (cbrt l))
22.0ms	(cbrt l)
24.0ms	(cbrt l)
23.0ms	(cbrt l)

simplify53.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5537	356

prune93.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	83	9	92

Merged error: 0.1b

Counts

92 → 9

regimes141.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	18
1	33	18

end0.0ms

sample8.7s

Algorithm

intervals

Results

6.0s	4734×	body	5120	exit
1.0s	2372×	body	1280	nan
541.0ms	2043×	body	640	nan
512.0ms	8000×	body	80	valid
178.0ms	1004×	body	320	nan
31.0ms	313×	body	160	nan
11.0ms	246×	body	80	nan
9.0ms	143×	body	80	invalid
8.0ms	130×	body	80	overflowed
2.0ms	1×	body	5120	nan
2.0ms	2×	body	2560	nan

Details

analyze647.0ms

sample260.0ms

simplify52.0ms

prune10.0ms

localize5.0ms

rewrite12.0ms

series40.0ms

simplify45.0ms

prune97.0ms

localize9.0ms

rewrite19.0ms

series89.0ms

simplify40.0ms

prune160.0ms

localize12.0ms

rewrite21.0ms

series126.0ms

simplify62.0ms

prune154.0ms

localize16.0ms

rewrite11.0ms

series94.0ms

simplify53.0ms

prune93.0ms

regimes141.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample8.7s

Profiling