Details

sample134.0ms

Algorithm

intervals

Results

48.0ms	51×	body	1280	valid
34.0ms	45×	body	640	valid
24.0ms	165×	body	80	valid
8.0ms	18×	body	320	valid
2.0ms	6×	body	160	valid

simplify80.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	10	12
1	18	12
2	31	11
3	39	11
4	50	11
5	53	11
done	53	11

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

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)))

rewrite53.0ms

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` `div-exp` `associate-l` `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 → 88

Calls

3 calls:

10.0ms	(/ 1.0 (sin B))
9.0ms	(/ 1.0 (tan B))
29.0ms	(* x (/ 1.0 (tan B)))

series227.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ 1.0 (sin B))
38.0ms	(/ 1.0 (tan B))
169.0ms	(* x (/ 1.0 (tan B)))

simplify524.0ms

Counts

97 → 97

Iterations

Useful iterations: done (521.0ms)

Iter	Nodes	Cost
0	149	847
1	334	816
2	1169	750
done	5001	744

prune362.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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` `frac-2neg` `clear-num` `div-inv` `add-log-exp`
1×	`tan-quot` `prod-exp` `associate-/r/` `cbrt-unprod`

Counts

2 → 49

Calls

2 calls:

10.0ms	(/ 1.0 (sin B))
23.0ms	(/ (* x 1.0) (tan B))

series157.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/ 1.0 (sin B))
135.0ms	(/ (* x 1.0) (tan B))

simplify692.0ms

Counts

55 → 55

Iterations

Useful iterations: 2 (190.0ms)

Iter	Nodes	Cost
0	114	488
1	255	472
2	1099	424
done	5001	424

prune189.0ms

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

rewrite39.0ms

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×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
2×	`cbrt-unprod`
1×	`tan-quot` `pow-flip` `associate-/r/` `associate-/l/` `inv-pow`

Counts

3 → 105

Calls

3 calls:

5.0ms	(/ 1.0 (sin B))
14.0ms	(/ (tan B) (* x 1.0))
15.0ms	(/ 1 (/ (tan B) (* x 1.0)))

series171.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ 1.0 (sin B))
55.0ms	(/ (tan B) (* x 1.0))
94.0ms	(/ 1 (/ (tan B) (* x 1.0)))

simplify866.0ms

Counts

114 → 114

Iterations

Useful iterations: done (862.0ms)

Iter	Nodes	Cost
0	197	1272
1	468	1132
2	1789	1038
done	5000	1034

prune246.0ms

Pruning

6 alts after pruning (5 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))))

rewrite49.0ms

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` `div-exp` `associate-l` `pow-prod-down` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `div-inv`
1×	`associate-r` `*-commutative`

Counts

3 → 75

Calls

3 calls:

5.0ms	(/ 1.0 (sin B))
10.0ms	(/ (cos B) (sin B))
32.0ms	(* x (* 1.0 (/ (cos B) (sin B))))

series196.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1.0 (sin B))
29.0ms	(/ (cos B) (sin B))
135.0ms	(* x (* 1.0 (/ (cos B) (sin B))))

simplify762.0ms

Counts

84 → 84

Iterations

Useful iterations: done (758.0ms)

Iter	Nodes	Cost
0	144	850
1	319	826
2	1251	730
done	5000	726

prune288.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes53.0ms

Accuracy

0% (0.1b 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

sample5.9s

Algorithm

intervals

Results

2.7s	1770×	body	1280	valid
1.1s	1457×	body	640	valid
887.0ms	4798×	body	80	valid
683.0ms	724×	body	320	valid
108.0ms	353×	body	160	valid