Details

sample154.0ms

Algorithm

intervals

Results

79.0ms	62×	body	1280	valid
24.0ms	174×	body	80	valid
19.0ms	33×	body	640	valid
8.0ms	21×	body	320	valid
3.0ms	11×	body	160	valid

simplify181.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	52
6	52
5	50
4	44
3	37
2	31
1	18
0	10

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 3 expressions with local error:

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

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`times-frac` `add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*`
5×	`add-log-exp`
4×	`associate-/l*`
3×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16`
2×	`clear-num` `frac-2neg` `div-inv` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `tan-quot` `associate-/r/` `frac-sub` `cbrt-unprod` `flip--` `distribute-lft-out--`

Counts

3 → 68

Calls

3 calls:

103.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
24.0ms	(/ (* x 1.0) (tan B))
10.0ms	(/ 1.0 (sin B))

series580.0ms

Counts

3 → 9

Calls

3 calls:

305.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
213.0ms	(/ (* x 1.0) (tan B))
62.0ms	(/ 1.0 (sin B))

simplify6.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5012
3	4390
2	1074
1	341
0	147

prune895.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

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

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

112.0ms	(- (/ 1.0 (sin B)) (* (/ (* x 1.0) (sin B)) (cos B)))
44.0ms	(/ (* x 1.0) (sin B))
19.0ms	(/ 1.0 (sin B))
83.0ms	(* (/ (* x 1.0) (sin B)) (cos B))

series684.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(- (/ 1.0 (sin B)) (* (/ (* x 1.0) (sin B)) (cos B)))
115.0ms	(/ (* x 1.0) (sin B))
39.0ms	(/ 1.0 (sin B))
265.0ms	(* (/ (* x 1.0) (sin B)) (cos B))

simplify3.9s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1604
1	422
0	165

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 3 expressions with local error:

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

10.0ms	(- 1.0 (* (* x 1.0) (cos B)))
45.0ms	(* (* x 1.0) (cos B))
35.0ms	(/ (- 1.0 (* (* x 1.0) (cos B))) (sin B))

series373.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(- 1.0 (* (* x 1.0) (cos B)))
67.0ms	(* (* x 1.0) (cos B))
204.0ms	(/ (- 1.0 (* (* x 1.0) (cos B))) (sin B))

simplify7.9s

Counts

72 → 72

Iterations

Iter	Nodes
done	5038
3	3685
2	995
1	304
0	124

prune860.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize95.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

52.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
10.0ms	(/ 1.0 (sin B))
11.0ms	(/ 1.0 (tan B))
36.0ms	(* x (/ 1.0 (tan B)))

series700.0ms

Counts

4 → 12

Calls

4 calls:

322.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
50.0ms	(/ 1.0 (sin B))
105.0ms	(/ 1.0 (tan B))
224.0ms	(* x (/ 1.0 (tan B)))

simplify3.2s

Counts

117 → 117

Iterations

Iter	Nodes
done	5003
2	1231
1	410
0	179

prune1.3s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes402.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample7.1s

Algorithm

intervals

Results

2.7s	1760×	body	1280	valid
2.2s	1476×	body	640	valid
1.3s	4936×	body	80	valid
370.0ms	656×	body	320	valid
135.0ms	364×	body	160	valid