Details

sample420.0ms

Algorithm

intervals

Results

40.0ms	56×	body	640	valid
36.0ms	61×	body	1280	valid
14.0ms	149×	body	80	valid
5.0ms	20×	body	320	valid
2.0ms	9×	body	160	valid

simplify17.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	7
1	33	6
2	43	6
3	54	6
4	60	6
5	62	6
6	62	6
done	62	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma (- x) (/ 1.0 (tan B)) (/ 1.0 (sin B)))
0.1b	(/ 1.0 (sin B))
0.1b	(/ 1.0 (tan B))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r` `associate-/l`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`tan-quot` `associate-/r/` `fma-udef`

Counts

3 → 69

Calls

3 calls:

0.0ms	(fma (- x) (/ 1.0 (tan B)) (/ 1.0 (sin B)))
5.0ms	(/ 1.0 (sin B))
8.0ms	(/ 1.0 (tan B))

series182.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(fma (- x) (/ 1.0 (tan B)) (/ 1.0 (sin B)))
20.0ms	(/ 1.0 (sin B))
55.0ms	(/ 1.0 (tan B))

simplify57.0ms

Counts

78 → 78

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	246	416
1	694	382
2	2127	382
3	5002	377
done	5002	377

prune237.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1.0 (sin B))
0.1b	(* x (cos B))
0.1b	(* (/ 1.0 (sin B)) (- 1 (* x (cos B))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
16×	`associate-l`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-r` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
3×	`expm1-log1p-u` `prod-exp` `associate-/r` `cbrt-unprod` `log1p-expm1-u` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `sub-neg` `flip3--` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `flip--` `div-inv`
1×	`frac-2neg` `associate-*l/` `clear-num`

Counts

3 → 97

Calls

3 calls:

5.0ms	(/ 1.0 (sin B))
8.0ms	(* x (cos B))
32.0ms	(* (/ 1.0 (sin B)) (- 1 (* x (cos B))))

series140.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ 1.0 (sin B))
37.0ms	(* x (cos B))
80.0ms	(* (/ 1.0 (sin B)) (- 1 (* x (cos B))))

simplify53.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	415	714
1	2101	633
2	5001	629
done	5001	629

prune242.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (cos B))
0.2b	(/ (- 1 (* x (cos B))) (sin B))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

10.0ms	(* x (cos B))
16.0ms	(/ (- 1 (* x (cos B))) (sin B))

series110.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* x (cos B))
69.0ms	(/ (- 1 (* x (cos B))) (sin B))

simplify76.0ms

Counts

58 → 58

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	201	379
1	826	347
2	3353	343
3	5001	342
done	5001	342

prune145.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (sin B))
0.1b	(* x (cos B))
0.1b	(* (- 1 (* x (cos B))) (/ 1 (sin B)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac`
18×	`add-exp-log`
16×	`associate-r`
12×	`add-cbrt-cube`
8×	`pow1`
6×	`associate-l`
5×	`prod-exp`
4×	`div-exp` `unswap-sqr`
3×	`expm1-log1p-u` `associate-/r` `cbrt-unprod` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3--` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

3 → 95

Calls

3 calls:

6.0ms	(/ 1 (sin B))
8.0ms	(* x (cos B))
31.0ms	(* (- 1 (* x (cos B))) (/ 1 (sin B)))

series126.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(/ 1 (sin B))
37.0ms	(* x (cos B))
72.0ms	(* (- 1 (* x (cos B))) (/ 1 (sin B)))

simplify40.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	328	605
1	1617	501
2	5002	500
done	5002	500

prune191.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6
done	14	6

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.0s	1753×	body	1280	valid
543.0ms	1484×	body	640	valid
398.0ms	4893×	body	80	valid
179.0ms	713×	body	320	valid
57.0ms	343×	body	160	valid