Details

sample132.0ms

Algorithm

intervals

Results

46.0ms	51×	body	1280	valid
39.0ms	45×	body	640	valid
21.0ms	165×	body	80	valid
7.0ms	18×	body	320	valid
2.0ms	6×	body	160	valid

simplify62.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	10	12
1	18	12
2	33	11
3	43	11
4	54	11
5	60	11
6	62	11
done	62	11

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r` `associate-/l`
5×	`pow1`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`tan-quot` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 94

Calls

3 calls:

8.0ms	(/ 1.0 (sin B))
9.0ms	(/ 1.0 (tan B))
19.0ms	(* x (/ 1.0 (tan B)))

series253.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ 1.0 (sin B))
59.0ms	(/ 1.0 (tan B))
165.0ms	(* x (/ 1.0 (tan B)))

simplify649.0ms

Counts

103 → 103

Iterations

Useful iterations: done (645.0ms)

Iter	Nodes	Cost
0	155	881
1	345	847
2	1194	781
done	5000	775

prune354.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*`
4×	`associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`tan-quot` `prod-exp` `associate-/r/` `cbrt-unprod`

Counts

2 → 53

Calls

2 calls:

6.0ms	(/ 1.0 (sin B))
11.0ms	(/ (* x 1.0) (tan B))

series209.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ 1.0 (sin B))
175.0ms	(/ (* x 1.0) (tan B))

simplify679.0ms

Counts

59 → 59

Iterations

Useful iterations: done (676.0ms)

Iter	Nodes	Cost
0	118	512
1	261	494
2	1108	448
done	5001	444

prune247.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
31×	`add-exp-log`
29×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`add-cbrt-cube`
15×	`div-exp`
11×	`associate-/r*`
9×	`associate-/l*`
8×	`cbrt-undiv`
7×	`div-inv`
4×	`pow1` `prod-exp`
3×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-unprod`
1×	`tan-quot` `pow-flip` `associate-/r/` `associate-/l/` `inv-pow`

Counts

3 → 111

Calls

3 calls:

6.0ms	(/ 1.0 (sin B))
11.0ms	(/ (tan B) (* x 1.0))
24.0ms	(/ 1 (/ (tan B) (* x 1.0)))

series225.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ 1.0 (sin B))
72.0ms	(/ (tan B) (* x 1.0))
129.0ms	(/ 1 (/ (tan B) (* x 1.0)))

simplify1.2s

Counts

120 → 120

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	203	1314
1	475	1170
2	2149	1040
done	5002	1036

prune434.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
16×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`associate-/r` `associate-/l`
5×	`prod-exp` `cbrt-unprod`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-l` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `div-inv`
1×	`associate-r` `*-commutative`

Counts

3 → 81

Calls

3 calls:

6.0ms	(/ 1.0 (sin B))
17.0ms	(/ (cos B) (sin B))
33.0ms	(* x (* 1.0 (/ (cos B) (sin B))))

series177.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ 1.0 (sin B))
22.0ms	(/ (cos B) (sin B))
133.0ms	(* x (* 1.0 (/ (cos B) (sin B))))

simplify762.0ms

Counts

90 → 90

Iterations

Useful iterations: done (758.0ms)

Iter	Nodes	Cost
0	150	892
1	329	865
2	1272	769
done	5001	765

prune375.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	14	13
done	14	13

end0.0ms

sample6.4s

Algorithm

intervals

Results

2.4s	1770×	body	1280	valid
1.6s	1457×	body	640	valid
1.4s	4798×	body	80	valid
472.0ms	724×	body	320	valid
126.0ms	353×	body	160	valid