Details

sample156.0ms

Algorithm

intervals

Results

68.0ms	65×	body	1280	valid
32.0ms	47×	body	640	valid
23.0ms	147×	body	80	valid
12.0ms	25×	body	320	valid
1.0ms	4×	body	160	valid

simplify46.0ms

Counts: 1 → 1

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

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)))

rewrite446.0ms

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 → 101

Calls

4 calls:

396.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
7.0ms	(/ 1.0 (sin B))
9.0ms	(/ 1.0 (tan B))
31.0ms	(* x (/ 1.0 (tan B)))

series418.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
38.0ms	(/ 1.0 (sin B))
50.0ms	(/ 1.0 (tan B))
145.0ms	(* x (/ 1.0 (tan B)))

simplify653.0ms

Counts: 113 → 113

prune391.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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

rewrite82.0ms

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 → 65

Calls

3 calls:

51.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
11.0ms	(/ 1.0 (sin B))
18.0ms	(/ (* x 1.0) (tan B))

series390.0ms

Counts

3 → 9

Calls

3 calls:

212.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
20.0ms	(/ 1.0 (sin B))
158.0ms	(/ (* x 1.0) (tan B))

simplify585.0ms

Counts: 74 → 74

prune266.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
28×	`times-frac`
22×	`add-exp-log` `add-cbrt-cube`
16×	`associate-r`
11×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/r` `associate-/l`
4×	`cbrt-undiv` `div-exp` `associate-l` `pow-prod-down` `add-log-exp`
3×	`div-inv`
2×	`frac-2neg` `associate-r/` `clear-num` `-commutative` `unswap-sqr`
1×	`associate-*l/`

Counts

4 → 107

Calls

4 calls:

7.0ms	(/ 1.0 (sin B))
6.0ms	(/ 1.0 (sin B))
49.0ms	(* (* x (/ 1.0 (sin B))) (cos B))
16.0ms	(* x (/ 1.0 (sin B)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ 1.0 (sin B))
27.0ms	(/ 1.0 (sin B))
169.0ms	(* (* x (/ 1.0 (sin B))) (cos B))
83.0ms	(* x (/ 1.0 (sin B)))

simplify731.0ms

Counts: 119 → 119

prune423.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
28×	`times-frac`
22×	`add-exp-log` `add-cbrt-cube`
16×	`associate-l`
11×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/r` `associate-/l`
4×	`cbrt-undiv` `div-exp` `associate-r` `pow-prod-down` `add-log-exp`
3×	`div-inv`
2×	`frac-2neg` `associate-l/` `clear-num` `-commutative` `unswap-sqr`
1×	`associate-*r/`

Counts

4 → 107

Calls

4 calls:

12.0ms	(/ 1.0 (sin B))
12.0ms	(/ 1.0 (sin B))
65.0ms	(* x (* (/ 1.0 (sin B)) (cos B)))
46.0ms	(* (/ 1.0 (sin B)) (cos B))

series277.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ 1.0 (sin B))
21.0ms	(/ 1.0 (sin B))
151.0ms	(* x (* (/ 1.0 (sin B)) (cos B)))
75.0ms	(* (/ 1.0 (sin B)) (cos B))

simplify745.0ms

Counts: 119 → 119

prune468.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify43.0ms

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.1s	1776×	body	1280	valid
1.9s	1447×	body	640	valid
1.1s	4826×	body	80	valid
351.0ms	714×	body	320	valid
153.0ms	354×	body	160	valid