Details

sample262.0ms

Algorithm

intervals

Results

98.0ms	62×	body	1280	valid
92.0ms	51×	body	640	valid
37.0ms	154×	body	80	valid
15.0ms	22×	body	320	valid
7.0ms	14×	body	160	valid

simplify369.0ms

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
8×	`add-exp-log`
6×	`associate-/r` `add-cbrt-cube` `associate-/l`
3×	`pow1` `div-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `insert-posit16` `div-inv` `add-log-exp`
1×	`rec-exp` `1-exp` `tan-quot` `associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 61

Calls

2 calls:

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

series182.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ 1 (sin B))
151.0ms	(/ x (tan B))

simplify1.8s

Counts

67 → 67

Iterations

Iter	Nodes
5	3521
4	1542
3	714
2	388
1	199
0	115

prune456.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

8.0ms	(* x (cos B))
6.0ms	(/ 1 (sin B))
13.0ms	(/ (* x (cos B)) (sin B))

series186.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* x (cos B))
15.0ms	(/ 1 (sin B))
127.0ms	(/ (* x (cos B)) (sin B))

simplify1.4s

Counts

82 → 82

Iterations

Iter	Nodes
3	2708
2	692
1	240
0	118

prune610.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (sin B))
0.2b	(/ (cos B) (sin B))
0.3b	(* x (/ (cos B) (sin B)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

16.0ms	(/ 1 (sin B))
18.0ms	(/ (cos B) (sin B))
24.0ms	(* x (/ (cos B) (sin B)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ 1 (sin B))
20.0ms	(/ (cos B) (sin B))
126.0ms	(* x (/ (cos B) (sin B)))

simplify2.7s

Counts

102 → 102

Iterations

Iter	Nodes
3	2799
2	878
1	298
0	142

prune841.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (sin B))
0.2b	(/ (tan B) x)
0.3b	(/ 1 (/ (tan B) x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

93×	`times-frac`
61×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
20×	`add-exp-log`
19×	`associate-/r*`
12×	`add-cbrt-cube`
10×	`div-exp`
9×	`associate-/l*`
7×	`div-inv`
5×	`pow1` `cbrt-undiv`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `add-log-exp`
2×	`pow-flip` `inv-pow`
1×	`tan-quot` `associate-/r/` `associate-/l/`

Counts

3 → 138

Calls

3 calls:

5.0ms	(/ 1 (sin B))
6.0ms	(/ (tan B) x)
6.0ms	(/ 1 (/ (tan B) x))

series192.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ 1 (sin B))
70.0ms	(/ (tan B) x)
107.0ms	(/ 1 (/ (tan B) x))

simplify6.8s

Counts

147 → 147

Iterations

Iter	Nodes
3	3135
2	1168
1	473
0	213

prune914.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes148.0ms

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
2	11
1	11
0	10

end0.0ms

sample8.5s

Algorithm

intervals

Results

3.8s	1727×	body	1280	valid
1.9s	1459×	body	640	valid
1.9s	4957×	body	80	valid
544.0ms	690×	body	320	valid
173.0ms	328×	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