Details

analyze935.0ms

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

sample66.0ms

Algorithm

intervals

Results

22.0ms	49×	body	1280	valid
11.0ms	38×	body	640	valid
9.0ms	126×	body	80	valid
6.0ms	30×	body	320	valid
2.0ms	13×	body	160	valid
0.0ms	3×	body	80	invalid

simplify455.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	382	11
1	382	11

prune12.0ms

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 (sin B))
0.2b	(/ 1.0 (tan B))
0.3b	(* x (/ 1.0 (tan B)))

rewrite47.0ms

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:

7.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
3.0ms	(/ 1.0 (sin B))
4.0ms	(/ 1.0 (tan B))
10.0ms	(* x (/ 1.0 (tan B)))

series78.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
5.0ms	(/ 1.0 (sin B))
11.0ms	(/ 1.0 (tan B))
34.0ms	(* x (/ 1.0 (tan B)))

simplify49.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5054	989

prune176.0ms

Filtered

87 candidates to 112 candidates (-28.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	104	8	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	8	113

Merged error: 0.0b

Counts

113 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
0.1b	(/ 1.0 (sin B))
0.2b	(/ (* x 1.0) (tan 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:

11.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
4.0ms	(/ 1.0 (sin B))
5.0ms	(/ (* x 1.0) (tan B))

series57.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
4.0ms	(/ 1.0 (sin B))
23.0ms	(/ (* x 1.0) (tan B))

simplify45.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5045	732

prune106.0ms

Filtered

56 candidates to 73 candidates (-30.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	72	9	81

Merged error: 0.0b

Counts

81 → 9

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))
7.0ms	(* (* x (/ 1.0 (sin B))) (cos B))
7.0ms	(* x (/ 1.0 (sin B)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ 1.0 (sin B))
4.0ms	(/ 1.0 (sin B))
19.0ms	(* (* x (/ 1.0 (sin B))) (cos B))
12.0ms	(* x (/ 1.0 (sin B)))

simplify57.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4986	949
1	4986	949

prune148.0ms

Filtered

84 candidates to 119 candidates (-41.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	119	9	128

Merged error: 0.0b

Counts

128 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (/ (* x (* 1.0 (cos B))) (sin B)))
0.1b	(/ 1.0 (sin B))
0.1b	(* x (* 1.0 (cos B)))
0.2b	(/ (* x (* 1.0 (cos B))) (sin B))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`times-frac`
9×	`pow1`
6×	`prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l*`
3×	`associate-l` `pow-prod-down`
2×	`frac-2neg` `clear-num` `difference-of-squares`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `associate-r` `*-commutative` `frac-sub` `flip--` `distribute-lft-out--` `sub-div`

Counts

4 → 85

Calls

4 calls:

10.0ms	(- (/ 1.0 (sin B)) (/ (* x (* 1.0 (cos B))) (sin B)))
5.0ms	(/ 1.0 (sin B))
5.0ms	(* x (* 1.0 (cos B)))
7.0ms	(/ (* x (* 1.0 (cos B))) (sin B))

series56.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ 1.0 (sin B)) (/ (* x (* 1.0 (cos B))) (sin B)))
5.0ms	(/ 1.0 (sin B))
7.0ms	(* x (* 1.0 (cos B)))
19.0ms	(/ (* x (* 1.0 (cos B))) (sin B))

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4991	1029
1	4991	1029

prune98.0ms

Filtered

70 candidates to 97 candidates (-38.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

regimes112.0ms

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

sample1.9s

Algorithm

intervals

Results

791.0ms	1740×	body	1280	valid
410.0ms	1446×	body	640	valid
279.0ms	3767×	body	80	valid
142.0ms	695×	body	320	valid
50.0ms	352×	body	160	valid
14.0ms	164×	body	80	invalid
1.0ms	2×	body	1280	invalid

Details

analyze935.0ms

sample66.0ms

simplify455.0ms

prune12.0ms

localize13.0ms

rewrite47.0ms

series78.0ms

simplify49.0ms

prune176.0ms

localize10.0ms

rewrite22.0ms

series57.0ms

simplify45.0ms

prune106.0ms

localize10.0ms

rewrite24.0ms

series42.0ms

simplify57.0ms

prune148.0ms

localize11.0ms

rewrite30.0ms

series56.0ms

simplify48.0ms

prune98.0ms

regimes112.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

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