Details

sample200.0ms

Algorithm

intervals

Results

86.0ms	62×	body	1280	valid
42.0ms	33×	body	640	valid
39.0ms	174×	body	80	valid
15.0ms	21×	body	320	valid
4.0ms	11×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3521
4	577
3	153
2	50
1	20
0	10

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

279×	`times-frac`
232×	`add-sqr-sqrt`
224×	`*-un-lft-identity`
215×	`add-cube-cbrt`
182×	`prod-diff`
31×	`div-inv`
14×	`tan-quot` `associate-/r/`
13×	`fma-neg`
9×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/r` `associate-/l` `difference-of-squares`
5×	`add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-undiv` `clear-num` `frac-2neg`
1×	`rec-exp` `sub-neg` `flip3--` `diff-log` `1-exp` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

3 → 285

Calls

3 calls:

36.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
5.0ms	(/ x (tan B))
5.0ms	(/ 1 (sin B))

series333.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
158.0ms	(/ x (tan B))
26.0ms	(/ 1 (sin B))

simplify1.5s

Counts

294 → 294

Iterations

Iter	Nodes
done	5000
2	3258
1	851
0	381

prune820.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
46×	`times-frac`
42×	`*-un-lft-identity` `add-cube-cbrt`
15×	`add-exp-log`
13×	`add-cbrt-cube` `fma-neg` `associate-l` `prod-diff`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-r` `associate-*l/`
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 → 142

Calls

4 calls:

24.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
5.0ms	(/ x (sin B))
8.0ms	(/ 1 (sin B))
14.0ms	(* (/ x (sin B)) (cos B))

series265.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
53.0ms	(/ x (sin B))
14.0ms	(/ 1 (sin B))
99.0ms	(* (/ x (sin B)) (cos B))

simplify1.2s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
2	2418
1	436
0	190

prune682.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `associate-/r` `fma-neg` `associate-r` `associate-l` `prod-diff` `insert-posit16` `log1p-expm1-u` `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 → 75

Calls

3 calls:

5.0ms	(- 1 (* x (cos B)))
7.0ms	(* x (cos B))
12.0ms	(/ (- 1 (* x (cos B))) (sin B))

series192.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- 1 (* x (cos B)))
52.0ms	(* x (cos B))
97.0ms	(/ (- 1 (* x (cos B))) (sin B))

simplify1.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1333
1	293
0	123

prune405.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

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)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
47×	`times-frac`
43×	`*-un-lft-identity`
42×	`add-cube-cbrt`
21×	`add-exp-log`
14×	`associate-r`
13×	`add-cbrt-cube` `fma-neg` `prod-diff`
8×	`pow1`
6×	`associate-/r` `div-exp` `associate-/l` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-l` `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 → 152

Calls

4 calls:

21.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
6.0ms	(/ 1 (tan B))
9.0ms	(/ 1 (sin B))
22.0ms	(* x (/ 1 (tan B)))

series339.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
40.0ms	(/ 1 (tan B))
24.0ms	(/ 1 (sin B))
144.0ms	(* x (/ 1 (tan B)))

simplify1.5s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
2	2404
1	463
0	199

prune673.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes139.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample8.8s

Algorithm

intervals

Results

3.6s	1760×	body	1280	valid
2.2s	1476×	body	640	valid
1.5s	4936×	body	80	valid
645.0ms	364×	body	160	valid
574.0ms	656×	body	320	valid