Details

sample437.0ms

Algorithm

intervals

Results

231.0ms	59×	body	1280	valid
49.0ms	44×	body	640	valid
36.0ms	157×	body	80	valid
11.0ms	16×	body	320	valid
7.0ms	12×	body	160	valid

simplify348.0ms

Counts: 1 → 1

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ x (tan B))
0.1b	(/ 1 (sin B))
0.0b	(- (/ 1 (sin B)) (/ x (tan B)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

279×	`times-frac`
232×	`add-sqr-sqrt`
224×	`*-un-lft-identity`
215×	`add-cube-cbrt`
182×	`prod-diff`
31×	`div-inv`
14×	`tan-quot` `associate-/r/`
13×	`fma-neg`
9×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/r` `associate-/l` `difference-of-squares`
5×	`add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-undiv` `clear-num` `frac-2neg`
1×	`rec-exp` `sub-neg` `flip3--` `diff-log` `1-exp` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

3 → 285

Calls

3 calls:

Slowest

51.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
16.0ms	(/ x (tan B))
12.0ms	(/ 1 (sin B))

series263.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

128.0ms	(/ x (tan B))
119.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
15.0ms	(/ 1 (sin B))

simplify554.0ms

Counts: 504 → 294

prune3.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ x (sin B)) (cos B))
0.2b	(/ x (sin B))
0.1b	(/ 1 (sin B))
0.0b	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
46×	`times-frac`
42×	`*-un-lft-identity` `add-cube-cbrt`
15×	`add-exp-log`
13×	`add-cbrt-cube` `fma-neg` `associate-l` `prod-diff`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-r` `associate-*l/`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`rec-exp` `sub-neg` `flip3--` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `frac-sub` `pow-flip` `flip--` `inv-pow` `sub-div`

Counts

4 → 142

Calls

4 calls:

Slowest

48.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
29.0ms	(* (/ x (sin B)) (cos B))
17.0ms	(/ 1 (sin B))
9.0ms	(/ x (sin B))

series372.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

142.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
141.0ms	(* (/ x (sin B)) (cos B))
71.0ms	(/ x (sin B))
17.0ms	(/ 1 (sin B))

simplify579.0ms

Counts: 190 → 154

prune1.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (/ (tan B) x))
0.2b	(/ (tan B) x)
0.1b	(/ 1 (sin B))
0.0b	(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

1390×	`times-frac`
881×	`add-sqr-sqrt`
855×	`*-un-lft-identity`
834×	`add-cube-cbrt`
572×	`prod-diff`
108×	`div-inv`
21×	`add-exp-log`
19×	`associate-/r*`
15×	`difference-of-squares`
14×	`associate-/r/`
13×	`add-cbrt-cube` `fma-neg`
10×	`div-exp`
9×	`associate-/l*`
7×	`distribute-lft-out--`
6×	`pow1` `add-log-exp`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
2×	`pow-flip` `inv-pow`
1×	`sub-neg` `flip3--` `diff-log` `tan-quot` `frac-sub` `flip--` `associate-/l/`

Counts

4 → 767

Calls

4 calls:

Slowest

40.0ms	(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
10.0ms	(/ 1 (sin B))
10.0ms	(/ (tan B) x)
6.0ms	(/ 1 (/ (tan B) x))

series387.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

153.0ms	(/ 1 (/ (tan B) x))
123.0ms	(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
85.0ms	(/ (tan B) x)
26.0ms	(/ 1 (sin B))

simplify2.0s

Counts: 1427 → 779

prune10.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (/ 1 (tan B)) (/ 1 x))
0.2b	(/ 1 (tan B))
0.1b	(/ 1 (sin B))
0.0b	(- (/ 1 (sin B)) (/ (/ 1 (tan B)) (/ 1 x)))

rewrite352.0ms

Algorithm

rewrite-expression-head

Rules

7769×	`times-frac`
4124×	`add-sqr-sqrt`
4052×	`*-un-lft-identity`
4009×	`add-cube-cbrt`
2431×	`prod-diff`
589×	`div-inv`
198×	`associate-/r/`
184×	`tan-quot`
52×	`add-exp-log`
36×	`div-exp`
30×	`difference-of-squares`
20×	`add-cbrt-cube` `associate-/l*`
19×	`associate-/r*`
13×	`fma-neg`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1` `distribute-lft-out--` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg`
2×	`pow-flip` `inv-pow`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `associate-/l/`

Counts

4 → 2809

Calls

4 calls:

Slowest

87.0ms	(- (/ 1 (sin B)) (/ (/ 1 (tan B)) (/ 1 x)))
12.0ms	(/ (/ 1 (tan B)) (/ 1 x))
6.0ms	(/ 1 (tan B))
5.0ms	(/ 1 (sin B))

series354.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

168.0ms	(/ (/ 1 (tan B)) (/ 1 x))
129.0ms	(- (/ 1 (sin B)) (/ (/ 1 (tan B)) (/ 1 x)))
37.0ms	(/ 1 (tan B))
19.0ms	(/ 1 (sin B))

simplify9.5s

Counts: 5486 → 2821

prune40.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes149.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample8.5s

Algorithm

intervals

Results

3.5s	1782×	body	1280	valid
2.0s	4886×	body	80	valid
1.9s	1402×	body	640	valid
645.0ms	701×	body	320	valid
267.0ms	363×	body	160	valid