Details

sample135.0ms

Algorithm

intervals

Results

41.0ms	41×	body	1280	valid
31.0ms	48×	body	640	valid
26.0ms	174×	body	80	valid
13.0ms	30×	body	320	valid
3.0ms	11×	body	160	valid

simplify48.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize56.0ms

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))
0.3b	(* x (/ 1.0 (tan B)))

rewrite430.0ms

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:

380.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
9.0ms	(/ 1.0 (sin B))
9.0ms	(/ 1.0 (tan B))
28.0ms	(* x (/ 1.0 (tan B)))

series457.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
35.0ms	(/ 1.0 (sin B))
58.0ms	(/ 1.0 (tan B))
177.0ms	(* x (/ 1.0 (tan B)))

simplify618.0ms

Counts: 113 → 113

prune429.0ms

Pruning

7 alts after pruning (7 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))

rewrite62.0ms

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:

30.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
8.0ms	(/ 1.0 (sin B))
21.0ms	(/ (* x 1.0) (tan B))

series314.0ms

Counts

3 → 9

Calls

3 calls:

147.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
23.0ms	(/ 1.0 (sin B))
144.0ms	(/ (* x 1.0) (tan B))

simplify552.0ms

Counts: 74 → 74

prune214.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

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:

52.0ms	(- (/ 1.0 (sin B)) (* (/ (* x 1.0) (sin B)) (cos B)))
9.0ms	(/ 1.0 (sin B))
11.0ms	(/ (* x 1.0) (sin B))
31.0ms	(* (/ (* x 1.0) (sin B)) (cos B))

series386.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(- (/ 1.0 (sin B)) (* (/ (* x 1.0) (sin B)) (cos B)))
21.0ms	(/ 1.0 (sin B))
68.0ms	(/ (* x 1.0) (sin B))
160.0ms	(* (/ (* x 1.0) (sin B)) (cos B))

simplify651.0ms

Counts: 101 → 101

prune420.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite31.0ms

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:

22.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

290.0ms	(* (cbrt x) (cbrt x))
272.0ms	(cbrt x)
283.0ms	(cbrt x)
323.0ms	(cbrt x)

simplify742.0ms

Counts: 85 → 85

prune255.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes58.0ms

Accuracy

-37.2% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.6s

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.5s	1722×	body	1280	valid
1.4s	1411×	body	640	valid
1.2s	4855×	body	80	valid
361.0ms	751×	body	320	valid
130.0ms	396×	body	160	valid