Details

sample233.0ms

Algorithm

intervals

Results

75.0ms	47×	body	640	valid
66.0ms	65×	body	1280	valid
22.0ms	147×	body	80	valid
11.0ms	25×	body	320	valid
1.0ms	4×	body	160	valid

simplify43.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

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)))

rewrite114.0ms

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:

53.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
6.0ms	(/ 1.0 (sin B))
7.0ms	(/ 1.0 (tan B))
41.0ms	(* x (/ 1.0 (tan B)))

series417.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
37.0ms	(/ 1.0 (sin B))
62.0ms	(/ 1.0 (tan B))
175.0ms	(* x (/ 1.0 (tan B)))

simplify707.0ms

Counts: 113 → 113

prune375.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite86.0ms

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:

66.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
6.0ms	(/ 1.0 (sin B))
11.0ms	(/ (* x 1.0) (tan B))

series419.0ms

Counts

3 → 9

Calls

3 calls:

193.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
33.0ms	(/ 1.0 (sin B))
193.0ms	(/ (* x 1.0) (tan B))

simplify549.0ms

Counts: 74 → 74

prune318.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite96.0ms

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:

11.0ms	(/ 1.0 (sin B))
7.0ms	(/ 1.0 (sin B))
41.0ms	(* (* x (/ 1.0 (sin B))) (cos B))
30.0ms	(* x (/ 1.0 (sin B)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1.0 (sin B))
25.0ms	(/ 1.0 (sin B))
126.0ms	(* (* x (/ 1.0 (sin B))) (cos B))
106.0ms	(* x (/ 1.0 (sin B)))

simplify883.0ms

Counts: 119 → 119

prune472.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin B)) (cbrt (sin B)))
0.6b	(cbrt (sin B))
0.6b	(cbrt (sin B))
0.6b	(cbrt (sin B))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

30.0ms	(* (cbrt (sin B)) (cbrt (sin B)))
3.0ms	(cbrt (sin B))
3.0ms	(cbrt (sin B))
3.0ms	(cbrt (sin B))

series580.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (sin B)) (cbrt (sin B)))
157.0ms	(cbrt (sin B))
135.0ms	(cbrt (sin B))
123.0ms	(cbrt (sin B))

simplify1.1s

Counts: 85 → 85

prune398.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes113.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify42.0ms

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.8s	1776×	body	1280	valid
1.4s	1447×	body	640	valid
790.0ms	4826×	body	80	valid
379.0ms	714×	body	320	valid
116.0ms	354×	body	160	valid