Details

analyze656.0ms

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

sample291.0ms

Algorithm

intervals

Results

201.0ms	150×	body	5120	exit
33.0ms	75×	body	1280	nan
17.0ms	61×	body	640	nan
16.0ms	256×	body	80	valid
5.0ms	29×	body	320	nan
1.0ms	10×	body	160	nan
0.0ms	8×	body	80	overflowed
0.0ms	8×	body	80	nan
0.0ms	2×	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

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

localize5.0ms

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))

series43.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (pow l (exp w)) (exp w))
20.0ms	(pow l (exp w))

simplify44.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5129	793

prune88.0ms

Filtered

49 candidates to 68 candidates (-38.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	66	4	70

Merged error: 0.1b

Counts

70 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (exp w)) (cbrt (exp w)))
0.2b	(pow (sqrt l) (exp w))
0.2b	(pow (sqrt l) (exp w))
0.4b	(* (/ (pow (sqrt l) (exp w)) (* (cbrt (exp w)) (cbrt (exp w)))) (/ (pow (sqrt l) (exp w)) (cbrt (exp w))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

180×	`add-sqr-sqrt`
146×	`times-frac`
106×	`add-exp-log`
92×	`unpow-prod-down`
70×	`associate-r`
66×	`cbrt-prod`
61×	`add-cube-cbrt` `*-un-lft-identity`
49×	`unswap-sqr`
46×	`sqrt-prod`
45×	`div-exp`
41×	`prod-exp`
28×	`sqr-pow`
20×	`associate-l`
18×	`add-cbrt-cube`
17×	`pow1` `pow-to-exp` `pow-exp`
9×	`cbrt-unprod`
7×	`cbrt-undiv`
6×	`pow-unpow` `pow-pow` `pow1/3` `swap-sqr`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`sqrt-pow1` `pow1/2` `pow-sqr` `*-commutative` `pow-prod-up` `sqrt-pow2` `div-inv`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/`

Counts

4 → 255

Calls

4 calls:

6.0ms	(* (cbrt (exp w)) (cbrt (exp w)))
3.0ms	(pow (sqrt l) (exp w))
3.0ms	(pow (sqrt l) (exp w))
33.0ms	(* (/ (pow (sqrt l) (exp w)) (* (cbrt (exp w)) (cbrt (exp w)))) (/ (pow (sqrt l) (exp w)) (cbrt (exp w))))

series94.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (cbrt (exp w)) (cbrt (exp w)))
18.0ms	(pow (sqrt l) (exp w))
19.0ms	(pow (sqrt l) (exp w))
33.0ms	(* (/ (pow (sqrt l) (exp w)) (* (cbrt (exp w)) (cbrt (exp w)))) (/ (pow (sqrt l) (exp w)) (cbrt (exp w))))

simplify96.0ms

Algorithm

egg-herbie

Counts

267 → 267

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4988	5119
1	4988	5119

prune445.0ms

Filtered

151 candidates to 267 candidates (-76.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	265	2	267
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	267	4	271

Merged error: 0.1b

Counts

271 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (sqrt (exp w)))
0.2b	(pow (sqrt l) (exp w))
0.2b	(pow (sqrt l) (exp w))
0.4b	(* (/ (pow (sqrt l) (exp w)) (* (* (cbrt (exp w)) (cbrt (sqrt (exp w)))) (cbrt (sqrt (exp w))))) (/ (pow (sqrt l) (exp w)) (cbrt (exp w))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

166×	`add-exp-log`
79×	`add-sqr-sqrt`
78×	`times-frac`
76×	`prod-exp`
66×	`div-exp`
64×	`associate-r`
58×	`unpow-prod-down`
55×	`add-cube-cbrt` `*-un-lft-identity`
40×	`cbrt-prod`
32×	`sqrt-prod`
24×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
14×	`associate-l` `cbrt-unprod`
11×	`sqr-pow`
10×	`pow1` `cbrt-undiv`
9×	`unswap-sqr`
6×	`pow-unpow` `pow-pow`
4×	`add-log-exp`
2×	`sqrt-pow1` `pow1/2` `sqrt-pow2` `div-inv`
1×	`frac-times` `pow1/3` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 207

Calls

4 calls:

2.0ms	(cbrt (sqrt (exp w)))
3.0ms	(pow (sqrt l) (exp w))
3.0ms	(pow (sqrt l) (exp w))
38.0ms	(* (/ (pow (sqrt l) (exp w)) (* (* (cbrt (exp w)) (cbrt (sqrt (exp w)))) (cbrt (sqrt (exp w))))) (/ (pow (sqrt l) (exp w)) (cbrt (exp w))))

series88.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt (sqrt (exp w)))
18.0ms	(pow (sqrt l) (exp w))
18.0ms	(pow (sqrt l) (exp w))
37.0ms	(* (/ (pow (sqrt l) (exp w)) (* (* (cbrt (exp w)) (cbrt (sqrt (exp w)))) (cbrt (sqrt (exp w))))) (/ (pow (sqrt l) (exp w)) (cbrt (exp w))))

simplify88.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4982	5116
1	4982	5116

prune194.0ms

Filtered

132 candidates to 219 candidates (-65.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	218	1	219
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	218	5	223

Merged error: 0.0b

Counts

223 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (sqrt l) (exp w))) (cbrt (pow (sqrt l) (exp w))))
0.5b	(cbrt (pow (sqrt l) (exp w)))
0.5b	(cbrt (pow (sqrt l) (exp w)))
0.5b	(cbrt (pow (sqrt l) (exp w)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

13.0ms	(* (cbrt (pow (sqrt l) (exp w))) (cbrt (pow (sqrt l) (exp w))))
3.0ms	(cbrt (pow (sqrt l) (exp w)))
2.0ms	(cbrt (pow (sqrt l) (exp w)))
3.0ms	(cbrt (pow (sqrt l) (exp w)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (cbrt (pow (sqrt l) (exp w))) (cbrt (pow (sqrt l) (exp w))))
31.0ms	(cbrt (pow (sqrt l) (exp w)))
28.0ms	(cbrt (pow (sqrt l) (exp w)))
28.0ms	(cbrt (pow (sqrt l) (exp w)))

simplify73.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5462	2639

prune151.0ms

Filtered

100 candidates to 150 candidates (-50.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	148	2	150
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	150	5	155

Merged error: 0.0b

Counts

155 → 5

regimes106.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	29
1	16	29

end0.0ms

sample8.7s

Algorithm

intervals

Results

6.0s	4656×	body	5120	exit
1.0s	2326×	body	1280	nan
520.0ms	1881×	body	640	nan
501.0ms	8000×	body	80	valid
168.0ms	944×	body	320	nan
30.0ms	292×	body	160	nan
10.0ms	145×	body	80	overflowed
10.0ms	217×	body	80	nan
8.0ms	119×	body	80	invalid
4.0ms	2×	body	5120	nan

Details

analyze656.0ms

sample291.0ms

simplify72.0ms

prune10.0ms

localize5.0ms

rewrite9.0ms

series43.0ms

simplify44.0ms

prune88.0ms

localize12.0ms

rewrite62.0ms

series94.0ms

simplify96.0ms

prune445.0ms

localize18.0ms

rewrite57.0ms

series88.0ms

simplify88.0ms

prune194.0ms

localize21.0ms

rewrite27.0ms

series129.0ms

simplify73.0ms

prune151.0ms

regimes106.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample8.7s

Profiling