Details

analyze266.0ms

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%	99.9%	0.1%	5
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14

sample48.0ms

Algorithm

intervals

Results

15.0ms	36×	body	1280	valid
13.0ms	178×	body	80	valid
7.0ms	26×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	6×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	226	9
1	226	9

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(* z (sin y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

4.0ms

(* z (sin y))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* z (sin y))

simplify41.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4985	109
1	4985	109

prune40.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Merged error: 0.0b

Counts

22 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

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 z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series90.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt z) (cbrt z))
23.0ms	(cbrt z)
21.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5165	356

prune94.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.0b	(cbrt (* z (sin y)))
6.0b	(cbrt (* z (sin y)))
6.0b	(cbrt (* z (sin y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series102.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
23.0ms	(cbrt (* z (sin y)))
24.0ms	(cbrt (* z (sin y)))
23.0ms	(cbrt (* z (sin y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5014	447

prune86.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	69	8	77

Merged error: 0.0b

Counts

77 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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:

6.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series76.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
19.0ms	(cbrt (sin y))
17.0ms	(cbrt (sin y))
18.0ms	(cbrt (sin y))

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4991	490
1	4991	490

prune70.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	84	9	93

Merged error: 0b

Counts

93 → 9

regimes281.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

422.0ms	937×	body	1280	valid
335.0ms	5653×	body	80	valid
206.0ms	785×	body	640	valid
72.0ms	400×	body	320	valid
33.0ms	225×	body	160	valid

Details

analyze266.0ms

sample48.0ms

simplify9.0ms

prune7.0ms

localize9.0ms

rewrite4.0ms

series7.0ms

simplify41.0ms

prune40.0ms

localize12.0ms

rewrite10.0ms

series90.0ms

simplify46.0ms

prune94.0ms

localize12.0ms

rewrite14.0ms

series102.0ms

simplify55.0ms

prune86.0ms

localize12.0ms

rewrite12.0ms

series76.0ms

simplify47.0ms

prune70.0ms

regimes281.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling