Details

analyze657.0ms

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

sample262.0ms

Algorithm

intervals

Results

163.0ms	128×	body	5120	exit
41.0ms	95×	body	1280	nan
18.0ms	55×	body	640	nan
16.0ms	256×	body	80	valid
4.0ms	23×	body	320	nan
1.0ms	9×	body	160	nan
0.0ms	7×	body	80	overflowed
0.0ms	7×	body	80	nan
0.0ms	4×	body	80	invalid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4891	7
1	4891	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

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))

series38.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (pow l (exp w)) (exp w))
16.0ms	(pow l (exp w))

simplify47.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5129	793

prune93.0ms

Filtered

49 candidates to 68 candidates (-38.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	61	7	68
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	62	8	70

Merged error: 0.1b

Counts

70 → 8

localize8.0ms

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:

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

simplify52.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5150	472

prune68.0ms

Filtered

33 candidates to 50 candidates (-51.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	50	8	58

Merged error: 0.1b

Counts

58 → 8

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

rewrite20.0ms

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)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp w))
35.0ms	(/ (pow (pow l (sqrt (exp w))) (sqrt (exp w))) (exp w))
29.0ms	(pow (pow l (sqrt (exp w))) (sqrt (exp w)))
17.0ms	(pow l (sqrt (exp w)))

simplify35.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5048	1721

prune150.0ms

Filtered

95 candidates to 137 candidates (-44.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	133	4	137
Fresh	2	4	6
Picked	1	0	1
Done	1	0	1
Total	137	8	145

Merged error: 0.1b

Counts

145 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (pow l (sqrt (exp w))) (log (exp (sqrt (exp w))))) (exp w))
0.2b	(log (exp (sqrt (exp w))))
0.3b	(pow (pow l (sqrt (exp w))) (log (exp (sqrt (exp w)))))
0.3b	(pow l (sqrt (exp w)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

53×	`unpow-prod-down`
47×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
42×	`times-frac`
18×	`log-prod`
16×	`pow-unpow`
15×	`unpow-prod-up`
14×	`log-pow` `associate-/l*`
12×	`exp-prod`
11×	`sqr-pow`
10×	`add-exp-log`
9×	`pow-exp` `sqrt-prod`
7×	`pow1`
6×	`add-cbrt-cube`
5×	`pow-to-exp` `div-exp`
4×	`add-log-exp`
3×	`associate-/r*`
2×	`pow-pow`
1×	`cbrt-undiv` `frac-2neg` `rem-log-exp` `clear-num` `div-inv`

Counts

4 → 146

Calls

4 calls:

10.0ms	(/ (pow (pow l (sqrt (exp w))) (log (exp (sqrt (exp w))))) (exp w))
3.0ms	(log (exp (sqrt (exp w))))
5.0ms	(pow (pow l (sqrt (exp w))) (log (exp (sqrt (exp w)))))
3.0ms	(pow l (sqrt (exp w)))

series86.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (pow (pow l (sqrt (exp w))) (log (exp (sqrt (exp w))))) (exp w))
3.0ms	(log (exp (sqrt (exp w))))
30.0ms	(pow (pow l (sqrt (exp w))) (log (exp (sqrt (exp w)))))
18.0ms	(pow l (sqrt (exp w)))

simplify56.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4984	2128
1	4984	2128

prune142.0ms

Filtered

115 candidates to 158 candidates (-37.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	158	8	166

Merged error: 0.1b

Counts

166 → 8

regimes118.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	9	14

end0.0ms

sample8.6s

Algorithm

intervals

Results

5.9s	4554×	body	5120	exit
1.1s	2419×	body	1280	nan
541.0ms	1984×	body	640	nan
509.0ms	8000×	body	80	valid
176.0ms	1010×	body	320	nan
31.0ms	300×	body	160	nan
11.0ms	4×	body	5120	nan
9.0ms	137×	body	80	overflowed
8.0ms	190×	body	80	nan
7.0ms	112×	body	80	invalid
4.0ms	4×	body	2560	nan

Details

analyze657.0ms

sample262.0ms

simplify72.0ms

prune9.0ms

localize6.0ms

rewrite9.0ms

series38.0ms

simplify47.0ms

prune93.0ms

localize8.0ms

rewrite11.0ms

series38.0ms

simplify52.0ms

prune68.0ms

localize9.0ms

rewrite20.0ms

series84.0ms

simplify35.0ms

prune150.0ms

localize13.0ms

rewrite26.0ms

series86.0ms

simplify56.0ms

prune142.0ms

regimes118.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample8.6s

Profiling