Details

sample250.0ms

Algorithm

intervals

Results

86.0ms	46×	body	1280	valid
42.0ms	53×	body	640	valid
29.0ms	152×	body	80	valid
11.0ms	20×	body	320	valid
6.0ms	15×	body	160	valid

simplify307.0ms

Counts

1 → 1

Iterations

Iter	Nodes
19	264
18	264
17	260
16	251
15	247
14	243
13	240
12	236
11	224
10	211
9	198
8	188
7	178
6	149
5	98
4	65
3	36
2	30
1	18
0	10

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

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:

34.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
5.0ms	(/ 1 (sin B))
7.0ms	(/ x (tan B))

series313.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
16.0ms	(/ 1 (sin B))
149.0ms	(/ x (tan B))

simplify15.5s

Counts

93 → 93

Iterations

Iter	Nodes
4	4201
3	1747
2	741
1	294
0	153

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

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)) (cos B))
0.2b	(/ x (sin B))

rewrite97.0ms

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:

41.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
10.0ms	(/ 1 (sin B))
34.0ms	(* (/ x (sin B)) (cos B))
9.0ms	(/ x (sin B))

series371.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
14.0ms	(/ 1 (sin B))
159.0ms	(* (/ x (sin B)) (cos B))
71.0ms	(/ x (sin B))

simplify19.8s

Counts

120 → 120

Iterations

Iter	Nodes
3	4116
2	1183
1	366
0	166

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`insert-posit16` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

10.0ms	(* x (cos B))
12.0ms	(/ (- 1 (* x (cos B))) (sin B))

series150.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* x (cos B))
107.0ms	(/ (- 1 (* x (cos B))) (sin B))

simplify3.3m

Counts

56 → 56

Iterations

Iter	Nodes
4	8611
3	1973
2	603
1	204
0	96

prune556.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sin B))
0.1b	(/ 1 (sin B))
0.1b	(* (* x (/ 1 (sin B))) (cos B))
0.3b	(* x (/ 1 (sin B)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `add-exp-log`
30×	`*-un-lft-identity`
29×	`times-frac` `add-cube-cbrt`
22×	`add-cbrt-cube`
16×	`associate-r`
13×	`pow1` `prod-exp`
8×	`div-exp`
7×	`cbrt-unprod`
6×	`associate-/r` `associate-/l`
4×	`cbrt-undiv` `rec-exp` `1-exp` `associate-l` `pow-prod-down` `insert-posit16` `add-log-exp`
3×	`div-inv` `unswap-sqr`
2×	`clear-num` `frac-2neg` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 126

Calls

4 calls:

6.0ms	(/ 1 (sin B))
10.0ms	(/ 1 (sin B))
35.0ms	(* (* x (/ 1 (sin B))) (cos B))
15.0ms	(* x (/ 1 (sin B)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1 (sin B))
26.0ms	(/ 1 (sin B))
160.0ms	(* (* x (/ 1 (sin B))) (cos B))
61.0ms	(* x (/ 1 (sin B)))

simplify2.0s

Counts

138 → 138

Iterations

Iter	Nodes
3	2557
2	918
1	314
0	135

prune1.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes118.0ms

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
2	9
1	9
0	8

end0.0ms

sample8.7s

Algorithm

intervals

Results

3.2s	1688×	body	1280	valid
2.1s	1462×	body	640	valid
1.9s	4846×	body	80	valid
692.0ms	729×	body	320	valid
670.0ms	336×	body	160	valid

Iter	Nodes
19	264
18	264
17	260
16	251
15	247
14	243
13	240
12	236
11	224
10	211
9	198
8	188
7	178
6	149
5	98
4	65
3	36
2	30
1	18
0	10

Iter	Nodes
19	264
18	264
17	260
16	251
15	247
14	243
13	240
12	236
11	224
10	211
9	198
8	188
7	178
6	149
5	98
4	65
3	36
2	30
1	18
0	10

Iter	Nodes
19	264
18	264
17	260
16	251
15	247
14	243
13	240
12	236
11	224
10	211
9	198
8	188
7	178
6	149
5	98
4	65
3	36
2	30
1	18
0	10