Details

analyze685.0ms

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

sample292.0ms

Algorithm

intervals

Results

202.0ms	152×	body	5120	exit
32.0ms	73×	body	1280	nan
19.0ms	59×	body	640	nan
17.0ms	256×	body	80	valid
4.0ms	23×	body	320	nan
1.0ms	7×	body	160	nan
0.0ms	7×	body	80	nan
0.0ms	4×	body	80	overflowed
0.0ms	1×	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

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

simplify48.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5129	793

prune100.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	61	7	68
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	63	7	70

Merged error: 0.1b

Counts

70 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (* (cbrt (exp w)) (cbrt (exp w))))
0.0b	(/ (pow l (exp w)) (cbrt (exp w)))
0.0b	(* (cbrt (exp w)) (cbrt (exp w)))
0.4b	(pow l (exp w))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
46×	`add-cube-cbrt` `*-un-lft-identity`
45×	`times-frac`
40×	`cbrt-prod`
24×	`unpow-prod-down`
23×	`add-exp-log`
20×	`pow1`
12×	`pow1/3`
10×	`associate-/l*`
9×	`pow-flip`
8×	`add-cbrt-cube` `sqr-pow`
7×	`div-exp` `associate-/r*`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `pow-sqr` `pow-prod-up` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `pow-unpow`
2×	`pow2` `pow-to-exp` `rec-exp` `frac-2neg` `pow-plus` `1-exp` `pow-exp` `clear-num` `cbrt-unprod` `div-inv`
1×	`pow-pow` `*-commutative` `inv-pow`

Counts

4 → 161

Calls

4 calls:

6.0ms	(/ 1 (* (cbrt (exp w)) (cbrt (exp w))))
5.0ms	(/ (pow l (exp w)) (cbrt (exp w)))
6.0ms	(* (cbrt (exp w)) (cbrt (exp w)))
2.0ms	(pow l (exp w))

series93.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (* (cbrt (exp w)) (cbrt (exp w))))
35.0ms	(/ (pow l (exp w)) (cbrt (exp w)))
19.0ms	(* (cbrt (exp w)) (cbrt (exp w)))
15.0ms	(pow l (exp w))

simplify54.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4963	1763
1	4963	1763

prune237.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	170	3	173
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	173	7	180

Merged error: 0.1b

Counts

180 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (cbrt (exp w)))
0.0b	(/ (pow l (exp w)) (cbrt (exp w)))
0.1b	(pow (cbrt (cbrt (exp w))) 5)
0.4b	(pow l (exp w))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

2.0ms	(cbrt (cbrt (exp w)))
5.0ms	(/ (pow l (exp w)) (cbrt (exp w)))
4.0ms	(pow (cbrt (cbrt (exp w))) 5)
2.0ms	(pow l (exp w))

series84.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt (cbrt (exp w)))
35.0ms	(/ (pow l (exp w)) (cbrt (exp w)))
19.0ms	(pow (cbrt (cbrt (exp w))) 5)
15.0ms	(pow l (exp w))

simplify50.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5024	1671

prune231.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	132	4	136
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	135	8	143

Merged error: 0.1b

Counts

143 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (cbrt (exp w)))
0.0b	(cbrt (cbrt (exp w)))
0.1b	(pow (cbrt (cbrt (exp w))) 5)
0.4b	(pow l (exp w))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down`
6×	`pow1` `add-exp-log` `pow-unpow`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-pow` `pow1/3`
2×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

2.0ms	(cbrt (cbrt (exp w)))
2.0ms	(cbrt (cbrt (exp w)))
4.0ms	(pow (cbrt (cbrt (exp w))) 5)
2.0ms	(pow l (exp w))

series264.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt (cbrt (exp w)))
14.0ms	(cbrt (cbrt (exp w)))
19.0ms	(pow (cbrt (cbrt (exp w))) 5)
15.0ms	(pow l (exp w))

simplify47.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4896	646
1	4896	646

prune157.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	81	8	89

Merged error: 0.1b

Counts

89 → 8

regimes128.0ms

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	25	45
1	25	45

end0.0ms

sample9.3s

Algorithm

intervals

Results

6.4s	4763×	body	5120	exit
1.1s	2423×	body	1280	nan
601.0ms	2076×	body	640	nan
532.0ms	8000×	body	80	valid
189.0ms	993×	body	320	nan
34.0ms	317×	body	160	nan
10.0ms	219×	body	80	nan
9.0ms	144×	body	80	overflowed
8.0ms	126×	body	80	invalid
2.0ms	1×	body	5120	nan
2.0ms	1×	body	2560	nan

Details

analyze685.0ms

sample292.0ms

simplify72.0ms

prune9.0ms

localize6.0ms

rewrite9.0ms

series38.0ms

simplify48.0ms

prune100.0ms

localize12.0ms

rewrite25.0ms

series93.0ms

simplify54.0ms

prune237.0ms

localize14.0ms

rewrite17.0ms

series84.0ms

simplify50.0ms

prune231.0ms

localize21.0ms

rewrite11.0ms

series264.0ms

simplify47.0ms

prune157.0ms

regimes128.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample9.3s

Profiling