Details

sample226.0ms

Algorithm

intervals

Results

56.0ms	18×	body	320	valid
45.0ms	51×	body	1280	valid
25.0ms	45×	body	640	valid
20.0ms	165×	body	80	valid
3.0ms	6×	body	160	valid

simplify51.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

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:

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

series278.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ 1.0 (sin B))
71.0ms	(/ 1.0 (tan B))
170.0ms	(* x (/ 1.0 (tan B)))

simplify849.0ms

Counts

103 → 103

Iterations

Useful iterations: done (844.0ms)

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

prune419.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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:

11.0ms	(/ 1.0 (sin B))
12.0ms	(/ (* x 1.0) (tan B))

series213.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ 1.0 (sin B))
180.0ms	(/ (* x 1.0) (tan B))

simplify799.0ms

Counts

59 → 59

Iterations

Useful iterations: done (796.0ms)

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

prune292.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite80.0ms

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:

12.0ms	(/ 1.0 (sin B))
21.0ms	(/ (tan B) (* x 1.0))
40.0ms	(/ 1 (/ (tan B) (* x 1.0)))

series270.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ 1.0 (sin B))
99.0ms	(/ (tan B) (* x 1.0))
127.0ms	(/ 1 (/ (tan B) (* x 1.0)))

simplify1.3s

Counts

120 → 120

Iterations

Useful iterations: done (1.3s)

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

prune484.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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))))

rewrite66.0ms

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))
10.0ms	(/ (cos B) (sin B))
47.0ms	(* x (* 1.0 (/ (cos B) (sin B))))

series224.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1.0 (sin B))
38.0ms	(/ (cos B) (sin B))
153.0ms	(* x (* 1.0 (/ (cos B) (sin B))))

simplify971.0ms

Counts

90 → 90

Iterations

Useful iterations: done (969.0ms)

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

prune373.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	12	14
1	19	13
done	19	13

end0.0ms

sample6.4s

Algorithm

intervals

Results

2.2s	1770×	body	1280	valid
1.5s	1457×	body	640	valid
1.5s	4798×	body	80	valid
505.0ms	724×	body	320	valid
203.0ms	353×	body	160	valid