Details

sample320.0ms

Algorithm

intervals

Results

84.0ms	160×	body	80	valid
66.0ms	54×	body	1280	valid
31.0ms	46×	body	640	valid
11.0ms	19×	body	320	valid
4.0ms	11×	body	160	valid

simplify45.0ms

Counts: 1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
0.1b	(/ 1.0 (tan B))
0.2b	(/ 1.0 (sin B))
0.3b	(* x (/ 1.0 (tan B)))

rewrite95.0ms

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:

51.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
6.0ms	(/ 1.0 (tan B))
6.0ms	(/ 1.0 (sin B))
28.0ms	(* x (/ 1.0 (tan B)))

series457.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
60.0ms	(/ 1.0 (tan B))
36.0ms	(/ 1.0 (sin B))
183.0ms	(* x (/ 1.0 (tan B)))

simplify745.0ms

Counts: 113 → 113

prune453.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
0.2b	(/ 1.0 (sin B))
0.2b	(/ (* x 1.0) (tan B))

rewrite97.0ms

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:

71.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
11.0ms	(/ 1.0 (sin B))
11.0ms	(/ (* x 1.0) (tan B))

series403.0ms

Counts

3 → 9

Calls

3 calls:

181.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
29.0ms	(/ 1.0 (sin B))
193.0ms	(/ (* x 1.0) (tan B))

simplify2.1s

Counts: 74 → 74

prune278.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (* (/ (* x 1.0) (sin B)) (cos B)))
0.2b	(/ 1.0 (sin B))
0.2b	(/ (* x 1.0) (sin B))
0.2b	(* (/ (* x 1.0) (sin B)) (cos B))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`times-frac`
7×	`associate-l`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
4×	`associate-/l*`
3×	`associate-r` `associate-*l/` `div-inv`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

47.0ms	(- (/ 1.0 (sin B)) (* (/ (* x 1.0) (sin B)) (cos B)))
6.0ms	(/ 1.0 (sin B))
16.0ms	(/ (* x 1.0) (sin B))
40.0ms	(* (/ (* x 1.0) (sin B)) (cos B))

series453.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(- (/ 1.0 (sin B)) (* (/ (* x 1.0) (sin B)) (cos B)))
25.0ms	(/ 1.0 (sin B))
82.0ms	(/ (* x 1.0) (sin B))
155.0ms	(* (/ (* x 1.0) (sin B)) (cos B))

simplify883.0ms

Counts: 101 → 101

prune328.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin B) (* x 1.0))
0.2b	(/ 1.0 (sin B))
0.2b	(* (/ 1 (/ (sin B) (* x 1.0))) (cos B))
0.3b	(/ 1 (/ (sin B) (* x 1.0)))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

77×	`times-frac`
64×	`add-exp-log`
52×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
45×	`add-cube-cbrt`
34×	`add-cbrt-cube`
27×	`div-exp`
26×	`associate-l`
17×	`prod-exp`
13×	`cbrt-undiv`
11×	`associate-/r*` `div-inv`
9×	`associate-/l*`
7×	`pow1` `cbrt-unprod`
6×	`rec-exp` `1-exp`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num` `unswap-sqr`
2×	`associate-/r/`
1×	`pow-flip` `pow-prod-down` `associate-l/` `-commutative` `inv-pow`

Counts

4 → 160

Calls

4 calls:

27.0ms	(/ (sin B) (* x 1.0))
11.0ms	(/ 1.0 (sin B))
93.0ms	(* (/ 1 (/ (sin B) (* x 1.0))) (cos B))
16.0ms	(/ 1 (/ (sin B) (* x 1.0)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (sin B) (* x 1.0))
21.0ms	(/ 1.0 (sin B))
135.0ms	(* (/ 1 (/ (sin B) (* x 1.0))) (cos B))
73.0ms	(/ 1 (/ (sin B) (* x 1.0)))

simplify1.4s

Counts: 172 → 172

prune546.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

-30.7% (0.2b remaining)

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

bsearch0.0ms

simplify1.7s

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.3s	1804×	body	1280	valid
1.6s	1384×	body	640	valid
970.0ms	4869×	body	80	valid
714.0ms	680×	body	320	valid
112.0ms	359×	body	160	valid