Details

sample222.0ms

Algorithm

intervals

Results

94.0ms	62×	body	1280	valid
58.0ms	174×	body	80	valid
34.0ms	33×	body	640	valid
16.0ms	21×	body	320	valid
6.0ms	11×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3192
4	545
3	144
2	48
1	20
0	10

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

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:

22.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
7.0ms	(/ x (tan B))
5.0ms	(/ 1 (sin B))

series288.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
133.0ms	(/ x (tan B))
21.0ms	(/ 1 (sin B))

simplify826.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1205
1	303
0	153

prune355.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

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:

31.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
5.0ms	(/ x (sin B))
5.0ms	(/ 1 (sin B))
19.0ms	(* (/ x (sin B)) (cos B))

series331.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
70.0ms	(/ x (sin B))
24.0ms	(/ 1 (sin B))
115.0ms	(* (/ x (sin B)) (cos B))

simplify1.3s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	2110
1	376
0	166

prune537.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

9.0ms	(- 1 (* x (cos B)))
15.0ms	(* x (cos B))
17.0ms	(/ (- 1 (* x (cos B))) (sin B))

series251.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- 1 (* x (cos B)))
64.0ms	(* x (cos B))
129.0ms	(/ (- 1 (* x (cos B))) (sin B))

simplify1.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
2	1184
1	263
0	107

prune334.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

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:

33.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
12.0ms	(/ 1 (tan B))
10.0ms	(/ 1 (sin B))
32.0ms	(* x (/ 1 (tan B)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
43.0ms	(/ 1 (tan B))
14.0ms	(/ 1 (sin B))
123.0ms	(* x (/ 1 (tan B)))

simplify1.9s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	1996
1	397
0	175

prune534.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes127.0ms

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

sample9.3s

Algorithm

intervals

Results

3.4s	1760×	body	1280	valid
3.2s	1476×	body	640	valid
1.6s	4936×	body	80	valid
605.0ms	656×	body	320	valid
330.0ms	364×	body	160	valid