Details

analyze931.0ms

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
12.5%	87.4%	0.1%	6
18.7%	81.2%	0.1%	7
25%	73.4%	1.7%	8
28.1%	68.7%	3.2%	9
31.2%	62.8%	6%	10
32.8%	60.1%	7.1%	11
34.3%	56.7%	9%	12
35.1%	55.2%	9.7%	13
35.9%	53.4%	10.7%	14

sample61.0ms

Algorithm

intervals

Results

20.0ms	44×	body	1280	valid
14.0ms	51×	body	640	valid
9.0ms	124×	body	80	valid
5.0ms	24×	body	320	valid
2.0ms	13×	body	160	valid
0.0ms	7×	body	80	invalid

simplify433.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	382	11
1	382	11

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
0.1b	(/ 1.0 (tan B))
0.1b	(/ 1.0 (sin B))
0.3b	(* x (/ 1.0 (tan B)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
14×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l` `div-inv`
2×	`tan-quot` `frac-2neg` `associate-*r/` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--`

Counts

4 → 100

Calls

4 calls:

6.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
3.0ms	(/ 1.0 (tan B))
3.0ms	(/ 1.0 (sin B))
9.0ms	(* x (/ 1.0 (tan B)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
16.0ms	(/ 1.0 (tan B))
5.0ms	(/ 1.0 (sin B))
33.0ms	(* x (/ 1.0 (tan B)))

simplify48.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5054	989

prune172.0ms

Filtered

87 candidates to 112 candidates (-28.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	103	9	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	9	113

Merged error: 0.0b

Counts

113 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
0.1b	(/ (* x 1.0) (tan B))
0.1b	(/ 1.0 (sin B))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt` `times-frac`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*`
5×	`add-log-exp`
4×	`associate-/l*`
3×	`pow1` `cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num` `div-inv` `difference-of-squares`
1×	`tan-quot` `sub-neg` `flip3--` `diff-log` `prod-exp` `associate-/r/` `frac-sub` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

3 → 64

Calls

3 calls:

13.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
4.0ms	(/ (* x 1.0) (tan B))
3.0ms	(/ 1.0 (sin B))

series53.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
22.0ms	(/ (* x 1.0) (tan B))
5.0ms	(/ 1.0 (sin B))

simplify43.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5045	732

prune106.0ms

Filtered

58 candidates to 73 candidates (-25.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	72	10	82

Merged error: 0b

Counts

82 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (sin B))
0.1b	(/ 1.0 (sin B))
0.2b	(* (* x (/ 1.0 (sin B))) (cos B))
0.3b	(* x (/ 1.0 (sin B)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
28×	`times-frac`
22×	`add-exp-log` `add-cbrt-cube`
16×	`associate-r`
11×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/r` `associate-/l`
4×	`cbrt-undiv` `div-exp` `associate-l` `pow-prod-down` `add-log-exp`
3×	`div-inv`
2×	`frac-2neg` `associate-r/` `clear-num` `-commutative` `unswap-sqr`
1×	`associate-*l/`

Counts

4 → 107

Calls

4 calls:

3.0ms	(/ 1.0 (sin B))
3.0ms	(/ 1.0 (sin B))
6.0ms	(* (* x (/ 1.0 (sin B))) (cos B))
6.0ms	(* x (/ 1.0 (sin B)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1.0 (sin B))
4.0ms	(/ 1.0 (sin B))
18.0ms	(* (* x (/ 1.0 (sin B))) (cos B))
11.0ms	(* x (/ 1.0 (sin B)))

simplify55.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4986	949
1	4986	949

prune146.0ms

Filtered

85 candidates to 119 candidates (-40.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	119	10	129

Merged error: 0b

Counts

129 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

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

series94.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt x) (cbrt x))
23.0ms	(cbrt x)
21.0ms	(cbrt x)
23.0ms	(cbrt x)

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5165	356

prune79.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	85	10	95

Merged error: 0b

Counts

95 → 10

regimes129.0ms

Accuracy

0% (0.1b 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	43	11
1	43	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

785.0ms	1797×	body	1280	valid
382.0ms	1367×	body	640	valid
267.0ms	3767×	body	80	valid
143.0ms	720×	body	320	valid
48.0ms	349×	body	160	valid
11.0ms	175×	body	80	invalid
1.0ms	2×	body	1280	invalid
1.0ms	3×	body	640	invalid

Details

analyze931.0ms

sample61.0ms

simplify433.0ms

prune11.0ms

localize13.0ms

rewrite25.0ms

series82.0ms

simplify48.0ms

prune172.0ms

localize10.0ms

rewrite22.0ms

series53.0ms

simplify43.0ms

prune106.0ms

localize10.0ms

rewrite24.0ms

series38.0ms

simplify55.0ms

prune146.0ms

localize14.0ms

rewrite11.0ms

series94.0ms

simplify46.0ms

prune79.0ms

regimes129.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling