Details

sample237.0ms

Algorithm

intervals

Results

105.0ms	55×	body	1280	valid
51.0ms	43×	body	640	valid
46.0ms	180×	body	80	valid
15.0ms	19×	body	320	valid
6.0ms	9×	body	160	valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
35	4970
34	4828
33	4665
32	4493
31	4330
30	4139
29	3972
28	3794
27	3608
26	3434
25	3297
24	3150
23	2978
22	2834
21	2632
20	2448
19	2290
18	2119
17	1964
16	1837
15	1728
14	1603
13	1490
12	1330
11	1186
10	1061
9	917
8	762
7	635
6	430
5	255
4	161
3	80
2	43
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	(/ 1 (sin B))
0.1b	(/ x (tan B))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

81×	`frac-sub`
72×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
60×	`associate-/r` `associate-/l`
55×	`add-cube-cbrt`
27×	`times-frac`
20×	`clear-num` `frac-2neg`
9×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`difference-of-squares`
5×	`add-log-exp`
4×	`pow1`
3×	`div-exp` `insert-posit16` `div-inv` `distribute-lft-out--`
2×	`cbrt-undiv`
1×	`rec-exp` `sub-neg` `flip3--` `diff-log` `1-exp` `tan-quot` `associate-/r/` `pow-flip` `flip--` `inv-pow`

Counts

3 → 164

Calls

3 calls:

66.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
7.0ms	(/ 1 (sin B))
12.0ms	(/ x (tan B))

series344.0ms

Counts

3 → 9

Calls

3 calls:

166.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
26.0ms	(/ 1 (sin B))
151.0ms	(/ x (tan B))

simplify2.1s

Counts

173 → 173

Iterations

Iter	Nodes
done	5000
2	3117
1	1117
0	367

prune561.0ms

Pruning

7 alts after pruning (7 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	(/ 1 (sin B))
0.1b	(/ x (sin B))
0.2b	(* (/ x (sin B)) (cos B))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

105×	`add-sqr-sqrt`
97×	`associate-*l/`
87×	`*-un-lft-identity`
81×	`frac-sub`
71×	`associate-/r*`
70×	`add-cube-cbrt`
63×	`associate-/l*`
43×	`times-frac`
23×	`frac-2neg`
21×	`clear-num`
18×	`associate-l`
15×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`difference-of-squares`
8×	`unswap-sqr`
7×	`pow1` `distribute-lft-out--` `sub-div`
6×	`add-log-exp`
5×	`div-inv`
4×	`div-exp` `insert-posit16`
3×	`cbrt-undiv` `associate-r`
2×	`prod-exp` `cbrt-unprod`
1×	`rec-exp` `sub-neg` `flip3--` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `pow-flip` `flip--` `inv-pow`

Counts

4 → 218

Calls

4 calls:

109.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
6.0ms	(/ 1 (sin B))
6.0ms	(/ x (sin B))
38.0ms	(* (/ x (sin B)) (cos B))

series343.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
25.0ms	(/ 1 (sin B))
75.0ms	(/ x (sin B))
134.0ms	(* (/ x (sin B)) (cos B))

simplify2.4s

Counts

230 → 230

Iterations

Iter	Nodes
done	5000
2	3786
1	1322
0	410

prune786.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
27×	`times-frac`
20×	`difference-of-squares`
19×	`add-cube-cbrt`
11×	`unswap-sqr`
10×	`distribute-lft-out--`
9×	`associate-/l*`
8×	`associate-l`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
3×	`associate-/r` `associate-r*` `insert-posit16`
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`

Counts

3 → 93

Calls

3 calls:

39.0ms	(- 1 (* (cos B) x))
12.0ms	(* (cos B) x)
70.0ms	(/ (- 1 (* (cos B) x)) (sin B))

series247.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- 1 (* (cos B) x))
69.0ms	(* (cos B) x)
111.0ms	(/ (- 1 (* (cos B) x)) (sin B))

simplify2.1s

Counts

102 → 102

Iterations

Iter	Nodes
done	5043
3	2853
2	857
1	350
0	154

prune426.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (tan B))
0.6b	(cbrt (tan B))
0.6b	(cbrt (tan B))
5.0b	(/ (- (cbrt (tan B)) (* (/ (sin B) (cbrt (tan B))) (/ x (cbrt (tan B))))) (* (cbrt (tan B)) (sin B)))

rewrite787.0ms

Algorithm

rewrite-expression-head

Rules

1704×	`add-sqr-sqrt`
808×	`times-frac`
565×	`cbrt-prod`
358×	`unswap-sqr`
340×	`difference-of-squares`
275×	`*-un-lft-identity`
206×	`add-cube-cbrt`
174×	`cbrt-div` `tan-quot`
173×	`associate-l`
172×	`associate-/r*` `associate-/l/`
170×	`frac-sub`
144×	`frac-times`
104×	`associate-/l*`
78×	`associate-r`
34×	`distribute-lft-out--`
28×	`clear-num`
27×	`frac-2neg`
26×	`*-commutative`
13×	`associate-*l/`
12×	`associate-*r/`
11×	`add-cbrt-cube`
9×	`add-exp-log`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `pow1/3`
2×	`div-exp` `un-div-inv` `cbrt-unprod`
1×	`flip3--` `div-sub` `prod-exp` `associate-/r/` `div-inv` `flip--`

Counts

4 → 670

Calls

4 calls:

4.0ms	(cbrt (tan B))
4.0ms	(cbrt (tan B))
4.0ms	(cbrt (tan B))
653.0ms	(/ (- (cbrt (tan B)) (* (/ (sin B) (cbrt (tan B))) (/ x (cbrt (tan B))))) (* (cbrt (tan B)) (sin B)))

series1.0s

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt (tan B))
164.0ms	(cbrt (tan B))
160.0ms	(cbrt (tan B))
533.0ms	(/ (- (cbrt (tan B)) (* (/ (sin B) (cbrt (tan B))) (/ x (cbrt (tan B))))) (* (cbrt (tan B)) (sin B)))

simplify2.6s

Counts

682 → 682

Iterations

Iter	Nodes
done	5001
1	3016
0	1032

prune4.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample8.4s

Algorithm

intervals

Results

3.4s	1662×	body	1280	valid
2.2s	1353×	body	640	valid
1.6s	5090×	body	80	valid
693.0ms	715×	body	320	valid
201.0ms	376×	body	160	valid