Details

analyze215.0ms

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

sample21.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	28×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	8
1	11	8

prune6.0ms

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: 19.4b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b	(* x (log (/ x y)))
18.8b	(log (/ x y))

rewrite22.0ms

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:

10.0ms	(* x (log (/ x y)))
4.0ms	(log (/ x y))

series23.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(* x (log (/ x y)))
11.0ms	(log (/ x y))

simplify37.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5333	723

prune102.0ms

Filtered

45 candidates to 75 candidates (-66.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	66	9	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	9	76

Merged error: 0.0b

Counts

76 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

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)

series82.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt x)
22.0ms	(cbrt x)
20.0ms	(cbrt y)
20.0ms	(cbrt y)

simplify44.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5007	196

prune83.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	56	9	65

Merged error: 0.0b

Counts

65 → 9

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)

series83.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt x)
20.0ms	(cbrt x)
20.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify44.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5007	196

prune130.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	56	9	65

Merged error: 0.0b

Counts

65 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (log (/ x y))))
18.8b	(log (/ x y))
18.8b	(log (/ x y))
18.8b	(log (/ x y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

39×	`log-prod`
27×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log`
7×	`pow1`
6×	`rem-log-exp`
4×	`add-cbrt-cube` `add-log-exp`
3×	`log-div` `div-exp` `log-pow` `div-inv`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 81

Calls

4 calls:

2.0ms	(cbrt (* x (log (/ x y))))
2.0ms	(log (/ x y))
2.0ms	(log (/ x y))
3.0ms	(log (/ x y))

series45.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt (* x (log (/ x y))))
6.0ms	(log (/ x y))
6.0ms	(log (/ x y))
9.0ms	(log (/ x y))

simplify42.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5105	648

prune84.0ms

Filtered

66 candidates to 93 candidates (-40.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	93	9	102

Merged error: 0.0b

Counts

102 → 9

regimes314.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	21
1	17	21

end0.0ms

analyze224.0ms

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

sample530.0ms

Algorithm

intervals

Results

322.0ms	8000×	body	80	valid
26.0ms	822×	body	80	nan
2.0ms	40×	body	80	invalid

Details

analyze215.0ms

sample21.0ms

simplify4.0ms

prune6.0ms

localize12.0ms

rewrite22.0ms

series23.0ms

simplify37.0ms

prune102.0ms

localize14.0ms

rewrite5.0ms

series82.0ms

simplify44.0ms

prune83.0ms

localize12.0ms

rewrite6.0ms

series83.0ms

simplify44.0ms

prune130.0ms

localize11.0ms

rewrite12.0ms

series45.0ms

simplify42.0ms

prune84.0ms

regimes314.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze224.0ms

sample530.0ms

Profiling