Details

analyze61.0ms

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

prune7.0ms

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:

0.1b	(* (* (* x 3.0) y) y)
0.2b	(* (* x 3.0) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-l` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

6.0ms	(* (* (* x 3.0) y) y)
4.0ms	(* (* x 3.0) y)

series13.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(* (* (* x 3.0) y) y)
3.0ms	(* (* x 3.0) y)

simplify45.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4953	307
1	4953	307

prune57.0ms

Filtered

24 candidates to 45 candidates (-87.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	39	8	47

Merged error: 0.0b

Counts

47 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* x (* 3.0 y)) y)
0.2b	(* x (* 3.0 y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

6.0ms	(* (* x (* 3.0 y)) y)
4.0ms	(* x (* 3.0 y))

series10.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* (* x (* 3.0 y)) y)
3.0ms	(* x (* 3.0 y))

simplify31.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5185	308

prune43.0ms

Filtered

18 candidates to 45 candidates (-150.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	44	9	53

Merged error: 0.0b

Counts

53 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series88.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt y) (cbrt y))
23.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5165	356

prune94.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
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 y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series88.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
24.0ms	(cbrt y)
21.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify45.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5270	200

prune63.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	56	9	65

Merged error: 0.0b

Counts

65 → 9

regimes254.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms

sample299.0ms

Algorithm

intervals

Results

174.0ms	8000×	body	80	valid
4.0ms	175×	body	80	invalid

Details

analyze61.0ms

sample12.0ms

simplify3.0ms

prune7.0ms

localize5.0ms

rewrite11.0ms

series13.0ms

simplify45.0ms

prune57.0ms

localize5.0ms

rewrite11.0ms

series10.0ms

simplify31.0ms

prune43.0ms

localize9.0ms

rewrite10.0ms

series88.0ms

simplify44.0ms

prune94.0ms

localize14.0ms

rewrite5.0ms

series88.0ms

simplify45.0ms

prune63.0ms

regimes254.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample299.0ms

Profiling