Details

sample2.5s

Algorithm

intervals

sampling

Space saved by range analysis: 27.372003%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

189.0ms	140×	body	5120	exit
34.0ms	78×	body	1280	nan
18.0ms	52×	body	640	nan
16.0ms	256×	body	80	valid
8.0ms	42×	body	320	nan
0.0ms	3×	body	160	nan
0.0ms	1×	body	80	overflowed
0.0ms	1×	body	80	invalid
0.0ms	1×	body	80	nan

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	14	5
1	29	5
2	69	4
3	243	4
4	925	4
5	5001	4

prune12.0ms

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: 0.2b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (pow l (exp w)) (exp w))
0.2b	(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))

simplify45.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	333	626
1	1482	578
2	5001	468

prune78.0ms

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

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

56×	`unpow-prod-down`
52×	`add-sqr-sqrt`
31×	`add-exp-log`
28×	`sqrt-prod`
24×	`add-cube-cbrt` `*-un-lft-identity`
18×	`prod-exp`
16×	`unswap-sqr`
14×	`pow-to-exp` `pow-exp` `sqr-pow`
12×	`swap-sqr`
11×	`add-cbrt-cube`
10×	`div-exp` `associate-r` `associate-l`
8×	`pow1`
6×	`pow-unpow` `pow-pow`
4×	`add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `sqrt-pow1` `pow1/2` `sqrt-pow2` `cbrt-unprod`
1×	`pow2` `frac-2neg` `pow-prod-down` `clear-num` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l`

Counts

4 → 145

Calls

4 calls:

9.0ms	(/ (* (pow (sqrt l) (exp w)) (pow (sqrt l) (exp w))) (exp w))
3.0ms	(pow (sqrt l) (exp w))
3.0ms	(pow (sqrt l) (exp w))
8.0ms	(* (pow (sqrt l) (exp w)) (pow (sqrt l) (exp w)))

series98.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* (pow (sqrt l) (exp w)) (pow (sqrt l) (exp w))) (exp w))
18.0ms	(pow (sqrt l) (exp w))
21.0ms	(pow (sqrt l) (exp w))
27.0ms	(* (pow (sqrt l) (exp w)) (pow (sqrt l) (exp w)))

simplify82.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	491	1543
1	2784	1419
2	5001	1390

prune143.0ms

Filtered

88 candidates to 157 candidates (-78.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	154	3	157
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	156	5	161

Merged error: 0.1b

Counts

161 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

86×	`unpow-prod-down`
55×	`add-sqr-sqrt`
27×	`add-exp-log`
25×	`sqrt-prod`
24×	`unswap-sqr`
23×	`pow-exp`
21×	`add-cube-cbrt` `*-un-lft-identity` `sqr-pow`
15×	`pow-to-exp` `prod-exp`
14×	`associate-r`
10×	`pow-unpow` `associate-l`
8×	`pow1`
7×	`pow-pow`
6×	`add-cbrt-cube`
4×	`add-log-exp`
3×	`cbrt-prod`
2×	`sqrt-pow1` `pow1/2` `sqrt-pow2`
1×	`*-commutative` `cbrt-unprod`

Counts

4 → 145

Calls

4 calls:

3.0ms	(pow (sqrt l) (exp w))
5.0ms	(pow (pow (sqrt l) (* (cbrt (exp w)) (cbrt (exp w)))) (cbrt (exp w)))
3.0ms	(pow (sqrt l) (* (cbrt (exp w)) (cbrt (exp w))))
12.0ms	(* (pow (sqrt l) (exp w)) (pow (pow (sqrt l) (* (cbrt (exp w)) (cbrt (exp w)))) (cbrt (exp w))))

series273.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(pow (sqrt l) (exp w))
61.0ms	(pow (pow (sqrt l) (* (cbrt (exp w)) (cbrt (exp w)))) (cbrt (exp w)))
35.0ms	(pow (sqrt l) (* (cbrt (exp w)) (cbrt (exp w))))
158.0ms	(* (pow (sqrt l) (exp w)) (pow (pow (sqrt l) (* (cbrt (exp w)) (cbrt (exp w)))) (cbrt (exp w))))

simplify120.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	926	3036
1	4547	2771
2	5001	2757

prune216.0ms

Filtered

99 candidates to 157 candidates (-58.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	157	5	162

Merged error: 0.1b

Counts

162 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (pow (sqrt l) (pow (exp (* 1/3 w)) 2)) (cbrt (exp w)))
0.2b	(pow (sqrt l) (pow (exp (* 1/3 w)) 2))
0.4b	(* 1/3 w)
0.4b	(* (pow (sqrt l) (exp w)) (pow (pow (sqrt l) (pow (exp (* 1/3 w)) 2)) (cbrt (exp w))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

83×	`unpow-prod-down`
58×	`add-sqr-sqrt`
28×	`add-exp-log`
25×	`unswap-sqr`
22×	`add-cube-cbrt` `*-un-lft-identity` `pow-exp` `sqrt-prod`
21×	`sqr-pow`
17×	`associate-r`
16×	`prod-exp`
14×	`pow-to-exp` `pow-unpow`
13×	`associate-l`
8×	`pow1` `add-cbrt-cube`
4×	`pow-pow` `add-log-exp`
3×	`cbrt-prod`
2×	`*-commutative` `cbrt-unprod`
1×	`sqrt-pow1` `pow1/2` `pow-prod-down` `sqrt-pow2` `unpow2`

Counts

4 → 147

Calls

4 calls:

4.0ms	(pow (pow (sqrt l) (pow (exp (* 1/3 w)) 2)) (cbrt (exp w)))
4.0ms	(pow (sqrt l) (pow (exp (* 1/3 w)) 2))
4.0ms	(* 1/3 w)
11.0ms	(* (pow (sqrt l) (exp w)) (pow (pow (sqrt l) (pow (exp (* 1/3 w)) 2)) (cbrt (exp w))))

series180.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(pow (pow (sqrt l) (pow (exp (* 1/3 w)) 2)) (cbrt (exp w)))
23.0ms	(pow (sqrt l) (pow (exp (* 1/3 w)) 2))
2.0ms	(* 1/3 w)
111.0ms	(* (pow (sqrt l) (exp w)) (pow (pow (sqrt l) (pow (exp (* 1/3 w)) 2)) (cbrt (exp w))))

simplify104.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	796	2516
1	3807	2397
2	5001	2392

prune325.0ms

Filtered

99 candidates to 159 candidates (-60.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	159	5	164

Merged error: 0.1b

Counts

164 → 5

regimes102.0ms

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	14	20
1	14	20

end0.0ms

sample11.0s

Algorithm

intervals

sampling

Space saved by range analysis: 27.372003%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

6.2s	4605×	body	5120	exit
1.1s	2316×	body	1280	nan
558.0ms	1940×	body	640	nan
522.0ms	8000×	body	80	valid
181.0ms	979×	body	320	nan
23.0ms	218×	body	160	nan
8.0ms	78×	body	80	overflowed
6.0ms	3×	body	5120	nan
5.0ms	64×	body	80	invalid
4.0ms	78×	body	80	nan

Details

sample2.5s

simplify32.0ms

prune12.0ms

localize5.0ms

rewrite9.0ms

series38.0ms

simplify45.0ms

prune78.0ms

localize8.0ms

rewrite28.0ms

series98.0ms

simplify82.0ms

prune143.0ms

localize14.0ms

rewrite27.0ms

series273.0ms

simplify120.0ms

prune216.0ms

localize20.0ms

rewrite28.0ms

series180.0ms

simplify104.0ms

prune325.0ms

regimes102.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample11.0s

Profiling