Details

sample210.0ms

Algorithm

intervals

Results

105.0ms	68×	body	1280	valid
45.0ms	48×	body	640	valid
30.0ms	142×	body	80	valid
13.0ms	20×	body	320	valid
2.0ms	5×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2005
18	2005
17	1964
16	1837
15	1728
14	1603
13	1490
12	1330
11	1186
10	1061
9	917
8	762
7	635
6	430
5	255
4	161
3	80
2	43
1	20
0	10

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
19×	`add-cube-cbrt`
9×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/r` `associate-/l` `difference-of-squares`
5×	`add-log-exp`
4×	`pow1`
3×	`div-exp` `insert-posit16` `div-inv` `distribute-lft-out--`
2×	`cbrt-undiv` `clear-num` `frac-2neg`
1×	`rec-exp` `sub-neg` `flip3--` `diff-log` `1-exp` `tan-quot` `associate-/r/` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

3 → 84

Calls

3 calls:

26.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
5.0ms	(/ 1 (sin B))
8.0ms	(/ x (tan B))

series274.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
15.0ms	(/ 1 (sin B))
127.0ms	(/ x (tan B))

simplify825.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	2006
3	2006
2	849
1	300
0	153

prune727.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
15×	`add-exp-log`
13×	`add-cbrt-cube` `associate-l`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`div-exp` `insert-posit16`
3×	`cbrt-undiv` `associate-r` `associate-*l/` `div-inv`
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 → 108

Calls

4 calls:

20.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
6.0ms	(/ 1 (sin B))
10.0ms	(/ x (sin B))
21.0ms	(* (/ x (sin B)) (cos B))

series319.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
19.0ms	(/ 1 (sin B))
72.0ms	(/ x (sin B))
116.0ms	(* (/ x (sin B)) (cos B))

simplify918.0ms

Counts

120 → 120

Iterations

Iter	Nodes
done	2002
3	2002
2	1312
1	373
0	166

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `times-frac`
28×	`add-cube-cbrt`
21×	`add-exp-log`
14×	`associate-r`
13×	`add-cbrt-cube`
8×	`pow1`
6×	`associate-/r` `div-exp` `associate-/l` `add-log-exp`
4×	`prod-exp` `insert-posit16`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-l` `div-inv` `unswap-sqr`
2×	`clear-num` `frac-2neg` `tan-quot` `associate-*r/` `associate-/r/` `un-div-inv` `frac-sub` `cbrt-unprod` `pow-flip` `inv-pow`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--`

Counts

4 → 118

Calls

4 calls:

25.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
8.0ms	(/ 1 (sin B))
9.0ms	(/ 1 (tan B))
20.0ms	(* x (/ 1 (tan B)))

series315.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
17.0ms	(/ 1 (sin B))
39.0ms	(/ 1 (tan B))
130.0ms	(* x (/ 1 (tan B)))

simplify812.0ms

Counts

130 → 130

Iterations

Iter	Nodes
done	2002
3	2002
2	1193
1	384
0	175

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
15×	`add-exp-log`
13×	`add-cbrt-cube` `associate-r`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`div-exp` `insert-posit16`
3×	`cbrt-undiv` `associate-l` `associate-*r/` `div-inv`
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 → 108

Calls

4 calls:

32.0ms	(- (/ 1 (sin B)) (* x (/ (cos B) (sin B))))
5.0ms	(/ 1 (sin B))
9.0ms	(/ (cos B) (sin B))
16.0ms	(* x (/ (cos B) (sin B)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- (/ 1 (sin B)) (* x (/ (cos B) (sin B))))
24.0ms	(/ 1 (sin B))
36.0ms	(/ (cos B) (sin B))
167.0ms	(* x (/ (cos B) (sin B)))

simplify986.0ms

Counts

120 → 120

Iterations

Iter	Nodes
done	2013
3	2013
2	1299
1	373
0	168

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample8.7s

Algorithm

intervals

Results

4.2s	1736×	body	1280	valid
1.6s	1424×	body	640	valid
1.3s	4880×	body	80	valid
1.0s	732×	body	320	valid
228.0ms	361×	body	160	valid