Details

sample500.0ms

Algorithm

intervals

Results

135.0ms	52×	body	1280	valid
103.0ms	148×	body	80	valid
88.0ms	54×	body	640	valid
45.0ms	23×	body	320	valid
6.0ms	13×	body	160	valid

simplify146.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	62
6	62
5	60
4	54
3	43
2	33
1	18
0	10

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

133×	`times-frac`
107×	`add-sqr-sqrt`
104×	`*-un-lft-identity` `prod-diff`
102×	`add-cube-cbrt`
24×	`div-inv`
14×	`tan-quot` `associate-/r/`
13×	`fma-neg`
10×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*`
5×	`add-log-exp`
4×	`associate-/l*`
3×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `flip--` `distribute-lft-out--`

Counts

3 → 188

Calls

3 calls:

66.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
8.0ms	(/ 1.0 (sin B))
33.0ms	(/ (* x 1.0) (tan B))

series394.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
31.0ms	(/ 1.0 (sin B))
210.0ms	(/ (* x 1.0) (tan B))

simplify1.9s

Counts

197 → 197

Iterations

Iter	Nodes
done	5000
2	2707
1	680
0	285

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
0.1b	(/ 1.0 (sin B))
0.1b	(/ (tan B) (* x 1.0))
0.3b	(/ 1 (/ (tan B) (* x 1.0)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

687×	`times-frac`
418×	`add-sqr-sqrt`
410×	`*-un-lft-identity`
401×	`add-cube-cbrt`
338×	`prod-diff`
87×	`div-inv`
32×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`div-exp`
14×	`associate-/r/`
13×	`fma-neg`
11×	`associate-/r*`
9×	`associate-/l*`
8×	`cbrt-undiv`
6×	`add-log-exp` `difference-of-squares`
5×	`pow1`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `distribute-lft-out--`
2×	`cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `tan-quot` `frac-sub` `pow-flip` `flip--` `inv-pow` `associate-/l/`

Counts

4 → 486

Calls

4 calls:

69.0ms	(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
4.0ms	(/ 1.0 (sin B))
9.0ms	(/ (tan B) (* x 1.0))
13.0ms	(/ 1 (/ (tan B) (* x 1.0)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
25.0ms	(/ 1.0 (sin B))
65.0ms	(/ (tan B) (* x 1.0))
133.0ms	(/ 1 (/ (tan B) (* x 1.0)))

simplify1.2s

Counts

498 → 498

Iterations

Iter	Nodes
done	5000
1	1590
0	664

prune4.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

46.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
19.0ms	(* x (cos B))
8.0ms	(/ 1.0 (sin B))
18.0ms	(/ (* x (cos B)) (sin B))

series424.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
59.0ms	(* x (cos B))
32.0ms	(/ 1.0 (sin B))
123.0ms	(/ (* x (cos B)) (sin B))

simplify1.5s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	1736
1	421
0	175

prune846.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (* 1.0 (/ (cos B) (/ (sin B) x))))
0.1b	(/ 1.0 (sin B))
0.1b	(/ (sin B) x)
0.3b	(/ (cos B) (/ (sin B) x))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
76×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
19×	`associate-/r*`
13×	`add-cbrt-cube` `fma-neg` `prod-diff` `add-exp-log`
10×	`div-inv`
9×	`associate-/l*`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`clear-num` `frac-2neg`
1×	`sub-neg` `flip3--` `diff-log` `associate-*r/` `associate-/r/` `frac-sub` `flip--` `distribute-lft-out--`

Counts

4 → 172

Calls

4 calls:

48.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (cos B) (/ (sin B) x))))
8.0ms	(/ 1.0 (sin B))
13.0ms	(/ (sin B) x)
21.0ms	(/ (cos B) (/ (sin B) x))

series372.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (cos B) (/ (sin B) x))))
37.0ms	(/ 1.0 (sin B))
48.0ms	(/ (sin B) x)
117.0ms	(/ (cos B) (/ (sin B) x))

simplify1.9s

Counts

184 → 184

Iterations

Iter	Nodes
done	5001
2	3416
1	701
0	281

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes189.0ms

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	14
1	14
0	11

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.6s	1710×	body	1280	valid
1.8s	1422×	body	640	valid
1.1s	4905×	body	80	valid
372.0ms	700×	body	320	valid
129.0ms	379×	body	160	valid