Details

analyze210.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	87.4%	12.6%	5
9.4%	65.5%	25.1%	6
14%	60.8%	25.1%	7
19.5%	49.1%	31.4%	8
24.6%	37.8%	37.6%	9
28.7%	33.7%	37.6%	10
33.3%	26%	40.7%	11
36.2%	19.9%	43.8%	12
38.6%	17.6%	43.8%	13
41.3%	13.3%	45.4%	14

sample39.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
1.0ms	28×	body	80	nan
0.0ms	1×	body	80	invalid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4856	8
1	4856	8

prune4.0ms

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: 13.7b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(* x (log (/ x y)))
13.3b	(log (/ x y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

39×	`log-prod`
27×	`add-sqr-sqrt` `times-frac`
25×	`add-cube-cbrt` `*-un-lft-identity`
13×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-exp-log`
6×	`pow1`
4×	`associate-r` `add-cbrt-cube`
3×	`associate-l` `div-inv`
2×	`rem-log-exp` `log-pow` `add-log-exp`
1×	`log-div` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 69

Calls

2 calls:

6.0ms	(* x (log (/ x y)))
3.0ms	(log (/ x y))

series16.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(* x (log (/ x y)))
7.0ms	(log (/ x y))

simplify54.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4945	721
1	4945	721

prune113.0ms

Filtered

45 candidates to 75 candidates (-66.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	68	7	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
3.0ms	(cbrt y)
1.0ms	(cbrt y)

series87.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt x)
21.0ms	(cbrt x)
21.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify38.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4941	200
1	4941	200

prune93.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series85.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt x)
21.0ms	(cbrt x)
21.0ms	(cbrt y)
23.0ms	(cbrt y)

simplify38.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4941	200
1	4941	200

prune90.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (cbrt (pow (log (/ x y)) 3)))
0.5b	(cbrt (pow (log (/ x y)) 3))
0.7b	(pow (log (/ x y)) 3)
13.3b	(log (/ x y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
31×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
17×	`associate-r`
14×	`pow1`
13×	`unpow-prod-down` `log-prod` `cube-prod`
10×	`add-exp-log`
9×	`times-frac`
7×	`log-pow`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`add-log-exp` `sqr-pow`
3×	`cube-mult` `pow-unpow` `unpow3` `associate-l`
2×	`rem-log-exp`
1×	`pow-to-exp` `log-div` `pow-pow` `pow1/3` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `div-inv` `rem-cube-cbrt`

Counts

4 → 108

Calls

4 calls:

7.0ms	(* x (cbrt (pow (log (/ x y)) 3)))
3.0ms	(cbrt (pow (log (/ x y)) 3))
2.0ms	(pow (log (/ x y)) 3)
3.0ms	(log (/ x y))

series38.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* x (cbrt (pow (log (/ x y)) 3)))
7.0ms	(cbrt (pow (log (/ x y)) 3))
15.0ms	(pow (log (/ x y)) 3)
7.0ms	(log (/ x y))

simplify57.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4928	901
1	4928	901

prune124.0ms

Filtered

65 candidates to 120 candidates (-84.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	120	7	127

Merged error: 0.0b

Counts

127 → 7

regimes195.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	21
1	64	21

end0.0ms

sample552.0ms

Algorithm

intervals

Results

335.0ms	8000×	body	80	valid
23.0ms	754×	body	80	nan
1.0ms	35×	body	80	invalid

Details

analyze210.0ms

sample39.0ms

simplify93.0ms

prune4.0ms

localize7.0ms

rewrite11.0ms

series16.0ms

simplify54.0ms

prune113.0ms

localize13.0ms

rewrite8.0ms

series87.0ms

simplify38.0ms

prune93.0ms

localize12.0ms

rewrite6.0ms

series85.0ms

simplify38.0ms

prune90.0ms

localize10.0ms

rewrite18.0ms

series38.0ms

simplify57.0ms

prune124.0ms

regimes195.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample552.0ms

Profiling