Details

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

sample295.0ms

Algorithm

intervals

Results

205.0ms	157×	body	5120	exit
30.0ms	72×	body	1280	nan
18.0ms	67×	body	640	nan
16.0ms	256×	body	80	valid
8.0ms	44×	body	320	nan
1.0ms	9×	body	160	nan
0.0ms	8×	body	80	overflowed
0.0ms	8×	body	80	nan
0.0ms	3×	body	80	invalid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

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

localize7.0ms

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))

series39.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(* (exp (neg w)) (pow l (exp w)))
15.0ms	(pow l (exp w))

simplify32.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5008	472

prune70.0ms

Filtered

33 candidates to 50 candidates (-51.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	44	6	50
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	46	6	52

Merged error: 0.1b

Counts

52 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
20×	`add-exp-log`
16×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
13×	`associate-l`
12×	`sqrt-prod`
11×	`sqrt-pow1` `add-cbrt-cube`
10×	`exp-prod` `associate-*r/` `prod-exp`
8×	`pow1` `neg-sub0` `exp-neg` `unpow-prod-down` `exp-diff`
7×	`associate-r`
6×	`unswap-sqr`
4×	`frac-times` `cbrt-unprod` `add-log-exp` `sqr-pow`
3×	`distribute-lft-neg-in` `pow-to-exp` `pow-unpow` `distribute-rgt-neg-in` `pow-exp`
2×	`associate-l/` `-commutative`
1×	`neg-mul-1` `rem-sqrt-square` `pow-pow` `pow1/2` `pow-prod-down`

Counts

4 → 105

Calls

4 calls:

3.0ms	(sqrt (exp (neg w)))
14.0ms	(* (sqrt (exp (neg w))) (* (pow l (exp w)) (sqrt (exp (neg w)))))
9.0ms	(* (pow l (exp w)) (sqrt (exp (neg w))))
2.0ms	(pow l (exp w))

series64.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp (neg w)))
21.0ms	(* (sqrt (exp (neg w))) (* (pow l (exp w)) (sqrt (exp (neg w)))))
23.0ms	(* (pow l (exp w)) (sqrt (exp (neg w))))
17.0ms	(pow l (exp w))

simplify41.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5073	1081

prune113.0ms

Filtered

73 candidates to 117 candidates (-60.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	116	7	123

Merged error: 0.1b

Counts

123 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp (neg w))) (* (* (sqrt (pow l (exp w))) (sqrt (pow l (exp w)))) (sqrt (exp (neg w)))))
0.3b	(pow l (exp w))
0.3b	(pow l (exp w))
0.4b	(* (sqrt (pow l (exp w))) (sqrt (pow l (exp w))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

57×	`sqrt-prod`
50×	`add-sqr-sqrt`
26×	`unpow-prod-down`
22×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log`
16×	`associate-l` `unswap-sqr`
15×	`add-cbrt-cube`
14×	`sqr-pow`
12×	`sqrt-div` `swap-sqr` `pow-prod-down`
11×	`associate-r`
10×	`pow1/2`
8×	`associate-*r/`
7×	`prod-exp` `cbrt-unprod`
6×	`neg-sub0` `exp-neg` `pow-unpow` `sqrt-pow1` `exp-diff`
4×	`frac-times` `sqrt-unprod` `add-log-exp`
3×	`pow-sqr` `pow-prod-up`
2×	`pow-to-exp` `pow-pow` `associate-l/` `pow-exp` `-commutative`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

4 → 139

Calls

4 calls:

28.0ms	(* (sqrt (exp (neg w))) (* (* (sqrt (pow l (exp w))) (sqrt (pow l (exp w)))) (sqrt (exp (neg w)))))
2.0ms	(pow l (exp w))
2.0ms	(pow l (exp w))
10.0ms	(* (sqrt (pow l (exp w))) (sqrt (pow l (exp w))))

series69.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (sqrt (exp (neg w))) (* (* (sqrt (pow l (exp w))) (sqrt (pow l (exp w)))) (sqrt (exp (neg w)))))
17.0ms	(pow l (exp w))
15.0ms	(pow l (exp w))
15.0ms	(* (sqrt (pow l (exp w))) (sqrt (pow l (exp w))))

simplify65.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4912	1452
1	4912	1452

prune128.0ms

Filtered

82 candidates to 151 candidates (-84.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	148	3	151
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	152	6	158

Merged error: 0.1b

Counts

158 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (pow l (sqrt (exp w))) (sqrt (exp w)))
0.3b	(pow l (sqrt (exp w)))
0.3b	(pow l (exp w))
0.4b	(* (sqrt (pow l (exp w))) (sqrt (pow (pow l (sqrt (exp w))) (sqrt (exp w)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

62×	`sqrt-prod`
54×	`add-sqr-sqrt`
51×	`unpow-prod-down`
24×	`unswap-sqr`
21×	`sqr-pow`
20×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow-unpow`
14×	`associate-r`
10×	`add-exp-log` `associate-l`
8×	`pow1`
6×	`pow-exp` `add-cbrt-cube`
4×	`pow-to-exp` `add-log-exp`
3×	`pow-pow`
2×	`pow1/2` `pow-prod-down`
1×	`sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 124

Calls

4 calls:

4.0ms	(pow (pow l (sqrt (exp w))) (sqrt (exp w)))
3.0ms	(pow l (sqrt (exp w)))
2.0ms	(pow l (exp w))
12.0ms	(* (sqrt (pow l (exp w))) (sqrt (pow (pow l (sqrt (exp w))) (sqrt (exp w)))))

series109.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(pow (pow l (sqrt (exp w))) (sqrt (exp w)))
17.0ms	(pow l (sqrt (exp w)))
18.0ms	(pow l (exp w))
47.0ms	(* (sqrt (pow l (exp w))) (sqrt (pow (pow l (sqrt (exp w))) (sqrt (exp w)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4981	1872
1	4981	1872

prune137.0ms

Filtered

90 candidates to 136 candidates (-51.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	132	4	136
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	134	8	142

Merged error: 0.0b

Counts

142 → 8

regimes134.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	35
1	21	35

end0.0ms

analyze650.0ms

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

sample8.7s

Algorithm

intervals

Results

6.0s	4719×	body	5120	exit
1.0s	2445×	body	1280	nan
534.0ms	2005×	body	640	nan
492.0ms	8000×	body	80	valid
170.0ms	996×	body	320	nan
30.0ms	302×	body	160	nan
10.0ms	237×	body	80	nan
9.0ms	135×	body	80	overflowed
8.0ms	125×	body	80	invalid
6.0ms	3×	body	5120	nan
2.0ms	2×	body	2560	nan

Details

analyze664.0ms

sample295.0ms

simplify56.0ms

prune9.0ms

localize7.0ms

rewrite11.0ms

series39.0ms

simplify32.0ms

prune70.0ms

localize9.0ms

rewrite32.0ms

series64.0ms

simplify41.0ms

prune113.0ms

localize14.0ms

rewrite47.0ms

series69.0ms

simplify65.0ms

prune128.0ms

localize21.0ms

rewrite25.0ms

series109.0ms

simplify71.0ms

prune137.0ms

regimes134.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze650.0ms

sample8.7s

Profiling