Details

sample217.0ms

Algorithm

intervals

Results

78.0ms	53×	body	1280	valid
68.0ms	166×	body	80	valid
37.0ms	41×	body	640	valid
13.0ms	20×	body	320	valid
8.0ms	18×	body	160	valid

simplify108.0ms

Counts: 1 → 1

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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:

Slowest

24.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
5.0ms	(/ x (tan B))
5.0ms	(/ 1 (sin B))

series246.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

120.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
112.0ms	(/ x (tan B))
14.0ms	(/ 1 (sin B))

simplify1.0s

Counts: 93 → 93

prune779.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

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:

Slowest

21.0ms	(* (/ x (sin B)) (cos B))
21.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
5.0ms	(/ 1 (sin B))
5.0ms	(/ x (sin B))

series310.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

121.0ms	(* (/ x (sin B)) (cos B))
119.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
56.0ms	(/ x (sin B))
14.0ms	(/ 1 (sin B))

simplify1.6s

Counts: 120 → 120

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 174

Calls

4 calls:

Slowest

27.0ms	(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
11.0ms	(/ 1 (/ (tan B) x))
8.0ms	(/ (tan B) x)
5.0ms	(/ 1 (sin B))

series377.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

154.0ms	(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
126.0ms	(/ 1 (/ (tan B) x))
73.0ms	(/ (tan B) x)
23.0ms	(/ 1 (sin B))

simplify679.0ms

Counts: 186 → 186

prune1.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B))))
0.4b	(cbrt (/ 1 (sin B)))
0.4b	(cbrt (/ 1 (sin B)))
0.4b	(cbrt (/ 1 (sin B)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

119×	`cbrt-prod`
97×	`add-sqr-sqrt`
79×	`times-frac`
67×	`*-un-lft-identity`
57×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 157

Calls

4 calls:

Slowest

37.0ms	(* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B))))
2.0ms	(cbrt (/ 1 (sin B)))
2.0ms	(cbrt (/ 1 (sin B)))
2.0ms	(cbrt (/ 1 (sin B)))

series663.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

191.0ms	(cbrt (/ 1 (sin B)))
175.0ms	(* (cbrt (/ 1 (sin B))) (cbrt (/ 1 (sin B))))
156.0ms	(cbrt (/ 1 (sin B)))
140.0ms	(cbrt (/ 1 (sin B)))

simplify2.6s

Counts: 169 → 169

prune2.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample9.0s

Algorithm

intervals

Results

3.9s	1719×	body	1280	valid
2.0s	1423×	body	640	valid
1.9s	4915×	body	80	valid
662.0ms	715×	body	320	valid
319.0ms	382×	body	160	valid