Details

sample243.0ms

Algorithm

intervals

Results

92.0ms	55×	body	1280	valid
49.0ms	43×	body	640	valid
46.0ms	180×	body	80	valid
24.0ms	9×	body	160	valid
17.0ms	19×	body	320	valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
29	4790
28	4572
27	4388
26	4180
25	3967
24	3753
23	3564
22	3407
21	3205
20	3006
19	2833
18	2631
17	2458
16	2289
15	2130
14	1959
13	1787
12	1570
11	1347
10	1172
9	1050
8	909
7	752
6	541
5	310
4	185
3	85
2	45
1	20
0	10

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

279×	`times-frac`
268×	`add-sqr-sqrt`
260×	`*-un-lft-identity`
251×	`add-cube-cbrt`
182×	`prod-diff`
81×	`frac-sub`
60×	`associate-/r` `associate-/l`
31×	`div-inv`
20×	`clear-num` `frac-2neg`
14×	`tan-quot` `associate-/r/`
13×	`fma-neg`
9×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`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`
1×	`rec-exp` `sub-neg` `flip3--` `diff-log` `1-exp` `pow-flip` `flip--` `inv-pow`

Counts

3 → 365

Calls

3 calls:

95.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
6.0ms	(/ 1 (sin B))
6.0ms	(/ x (tan B))

series291.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
14.0ms	(/ 1 (sin B))
152.0ms	(/ x (tan B))

simplify2.3s

Counts

374 → 374

Iterations

Iter	Nodes
done	5000
2	4714
1	1715
0	595

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

455×	`add-sqr-sqrt`
389×	`times-frac`
372×	`*-un-lft-identity`
355×	`add-cube-cbrt`
299×	`prod-diff`
187×	`associate-l`
97×	`associate-*l/`
81×	`frac-sub`
71×	`associate-/r*`
63×	`associate-/l*`
42×	`associate-r` `div-inv`
34×	`unswap-sqr`
23×	`frac-2neg`
21×	`clear-num`
15×	`add-exp-log`
14×	`*-commutative`
13×	`add-cbrt-cube` `fma-neg`
9×	`difference-of-squares`
7×	`pow1` `distribute-lft-out--` `sub-div`
6×	`add-log-exp`
4×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv`
2×	`prod-exp` `cbrt-unprod`
1×	`rec-exp` `sub-neg` `flip3--` `diff-log` `1-exp` `pow-prod-down` `pow-flip` `flip--` `inv-pow`

Counts

4 → 538

Calls

4 calls:

95.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
6.0ms	(/ 1 (sin B))
6.0ms	(/ x (sin B))
24.0ms	(* (/ x (sin B)) (cos B))

series361.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
23.0ms	(/ 1 (sin B))
59.0ms	(/ x (sin B))
152.0ms	(* (/ x (sin B)) (cos B))

simplify2.0s

Counts

550 → 550

Iterations

Iter	Nodes
done	5001
1	2256
0	765

prune2.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize16.0ms

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))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
41×	`add-cube-cbrt`
36×	`prod-diff`
27×	`times-frac`
20×	`difference-of-squares`
17×	`associate-l`
14×	`unswap-sqr`
12×	`associate-r`
10×	`distribute-lft-out--`
9×	`associate-/l*`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
4×	`*-commutative`
3×	`expm1-log1p-u` `associate-/r*` `fma-neg` `insert-posit16` `log1p-expm1-u`
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` `cbrt-unprod` `div-inv`

Counts

3 → 138

Calls

3 calls:

25.0ms	(- 1 (* x (cos B)))
9.0ms	(* x (cos B))
68.0ms	(/ (- 1 (* x (cos B))) (sin B))

series215.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- 1 (* x (cos B)))
51.0ms	(* x (cos B))
121.0ms	(/ (- 1 (* x (cos B))) (sin B))

simplify2.7s

Counts

147 → 147

Iterations

Iter	Nodes
done	5000
3	4897
2	1163
1	518
0	226

prune488.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin B) x)
0.2b	(* (cos B) (sin B))
0.2b	(* (sin B) (/ (sin B) x))
8.7b	(/ (- (/ (sin B) x) (* (cos B) (sin B))) (* (sin B) (/ (sin B) x)))

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

499×	`add-sqr-sqrt`
407×	`times-frac`
247×	`*-un-lft-identity`
159×	`associate-r`
149×	`add-cube-cbrt`
96×	`difference-of-squares`
73×	`unswap-sqr`
72×	`distribute-lft-out--`
63×	`associate-l`
38×	`div-inv`
37×	`*-commutative`
32×	`associate-/r*`
22×	`add-cbrt-cube` `add-exp-log`
21×	`associate-/l*`
18×	`associate-*r/`
11×	`associate-/r/`
8×	`pow1`
6×	`cbrt-undiv` `clear-num` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `frac-2neg` `un-div-inv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-/l/`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 392

Calls

4 calls:

17.0ms	(/ (sin B) x)
25.0ms	(* (cos B) (sin B))
46.0ms	(* (sin B) (/ (sin B) x))
240.0ms	(/ (- (/ (sin B) x) (* (cos B) (sin B))) (* (sin B) (/ (sin B) x)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (sin B) x)
36.0ms	(* (cos B) (sin B))
64.0ms	(* (sin B) (/ (sin B) x))
186.0ms	(/ (- (/ (sin B) x) (* (cos B) (sin B))) (* (sin B) (/ (sin B) x)))

simplify1.7s

Counts

404 → 404

Iterations

Iter	Nodes
done	5002
1	1831
0	563

prune2.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample8.4s

Algorithm

intervals

Results

3.5s	1662×	body	1280	valid
2.4s	1353×	body	640	valid
1.4s	5090×	body	80	valid
642.0ms	715×	body	320	valid
223.0ms	376×	body	160	valid