Details

analyze922.0ms

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

sample65.0ms

Algorithm

intervals

Results

25.0ms	55×	body	1280	valid
13.0ms	46×	body	640	valid
9.0ms	119×	body	80	valid
5.0ms	24×	body	320	valid
2.0ms	12×	body	160	valid
0.0ms	3×	body	80	invalid

simplify442.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

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

localize12.0ms

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))
0.2b	(* 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 (sin B))
3.0ms	(/ 1.0 (tan B))
9.0ms	(* x (/ 1.0 (tan B)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
5.0ms	(/ 1.0 (sin B))
11.0ms	(/ 1.0 (tan B))
47.0ms	(* x (/ 1.0 (tan B)))

simplify47.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5054	989

prune174.0ms

Filtered

87 candidates to 112 candidates (-28.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	102	10	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	10	113

Merged error: 0.0b

Counts

113 → 10

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))

rewrite20.0ms

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:

10.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
3.0ms	(/ 1.0 (sin B))
5.0ms	(/ (* x 1.0) (tan B))

series55.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
4.0ms	(/ 1.0 (sin B))
22.0ms	(/ (* x 1.0) (tan B))

simplify44.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5045	732

prune104.0ms

Filtered

54 candidates to 73 candidates (-35.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	73	10	83

Merged error: 0.0b

Counts

83 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
0.1b	(/ 1.0 (sin B))
0.2b	(/ (tan B) (* x 1.0))
0.3b	(/ 1 (/ (tan B) (* x 1.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

54×	`times-frac`
47×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`add-exp-log`
30×	`add-cube-cbrt`
20×	`add-cbrt-cube`
15×	`div-exp`
11×	`associate-/r*`
9×	`associate-/l*`
8×	`cbrt-undiv` `div-inv`
6×	`add-log-exp` `difference-of-squares`
5×	`pow1`
4×	`prod-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out--`
2×	`cbrt-unprod`
1×	`tan-quot` `sub-neg` `flip3--` `pow-flip` `diff-log` `associate-/r/` `frac-sub` `flip--` `associate-/l/` `inv-pow`

Counts

4 → 126

Calls

4 calls:

20.0ms	(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
3.0ms	(/ 1.0 (sin B))
4.0ms	(/ (tan B) (* x 1.0))
6.0ms	(/ 1 (/ (tan B) (* x 1.0)))

series65.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
4.0ms	(/ 1.0 (sin B))
15.0ms	(/ (tan B) (* x 1.0))
18.0ms	(/ 1 (/ (tan B) (* x 1.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4965	1462
1	4965	1462

prune156.0ms

Filtered

92 candidates to 138 candidates (-50.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	138	10	148

Merged error: 0.0b

Counts

148 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (/ (/ 1 (tan B)) (/ 1 (* x 1.0))))
0.1b	(/ 1.0 (sin B))
0.2b	(/ 1 (tan B))
0.3b	(/ (/ 1 (tan B)) (/ 1 (* x 1.0)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

255×	`times-frac`
134×	`add-sqr-sqrt`
122×	`*-un-lft-identity`
106×	`add-cube-cbrt`
93×	`add-exp-log`
61×	`div-exp`
30×	`div-inv`
29×	`add-cbrt-cube`
20×	`associate-/l*`
16×	`rec-exp` `1-exp`
15×	`cbrt-undiv`
13×	`associate-/r*`
12×	`prod-exp`
10×	`associate-/r/`
9×	`tan-quot`
8×	`difference-of-squares`
6×	`add-log-exp`
5×	`pow1` `distribute-lft-out--`
3×	`frac-2neg` `clear-num`
2×	`cbrt-unprod`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `frac-sub` `flip--` `associate-/l/` `inv-pow`

Counts

4 → 249

Calls

4 calls:

60.0ms	(- (/ 1.0 (sin B)) (/ (/ 1 (tan B)) (/ 1 (* x 1.0))))
3.0ms	(/ 1.0 (sin B))
4.0ms	(/ 1 (tan B))
11.0ms	(/ (/ 1 (tan B)) (/ 1 (* x 1.0)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (/ 1.0 (sin B)) (/ (/ 1 (tan B)) (/ 1 (* x 1.0))))
4.0ms	(/ 1.0 (sin B))
9.0ms	(/ 1 (tan B))
18.0ms	(/ (/ 1 (tan B)) (/ 1 (* x 1.0)))

simplify74.0ms

Algorithm

egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5075	3287

prune227.0ms

Filtered

136 candidates to 261 candidates (-91.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	260	1	261
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	262	9	271

Merged error: 0.0b

Counts

271 → 9

regimes116.0ms

Accuracy

0% (0.1b remaining)

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

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

759.0ms	1715×	body	1280	valid
391.0ms	1400×	body	640	valid
274.0ms	3790×	body	80	valid
149.0ms	719×	body	320	valid
56.0ms	376×	body	160	valid
12.0ms	173×	body	80	invalid

Details

analyze922.0ms

sample65.0ms

simplify442.0ms

prune11.0ms

localize12.0ms

rewrite25.0ms

series90.0ms

simplify47.0ms

prune174.0ms

localize10.0ms

rewrite20.0ms

series55.0ms

simplify44.0ms

prune104.0ms

localize11.0ms

rewrite38.0ms

series65.0ms

simplify54.0ms

prune156.0ms

localize13.0ms

rewrite93.0ms

series60.0ms

simplify74.0ms

prune227.0ms

regimes116.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling