Details

sample384.0ms

Algorithm

intervals

Results

121.0ms	55×	body	640	valid
96.0ms	53×	body	1280	valid
43.0ms	153×	body	80	valid
18.0ms	19×	body	320	valid
6.0ms	10×	body	160	valid

simplify489.0ms

Counts

1 → 1

Iterations

Iter	Nodes
13	229
12	229
11	228
10	225
9	219
8	212
7	194
6	153
5	93
4	67
3	38
2	32
1	20
0	10

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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))

rewrite68.0ms

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:

37.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
10.0ms	(/ x (tan B))
7.0ms	(/ 1 (sin B))

series361.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
190.0ms	(/ x (tan B))
40.0ms	(/ 1 (sin B))

simplify1.8s

Counts

93 → 93

Iterations

Iter	Nodes
4	3548
3	1695
2	738
1	295
0	153

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite50.0ms

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:

35.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
7.0ms	(/ x (tan B))
5.0ms	(/ 1 (sin B))

series255.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
113.0ms	(/ x (tan B))
19.0ms	(/ 1 (sin B))

simplify1.7s

Counts

93 → 93

Iterations

Iter	Nodes
4	3548
3	1695
2	738
1	295
0	153

prune930.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`times-frac` `add-exp-log`
13×	`add-cbrt-cube`
7×	`pow1` `div-inv`
6×	`associate-/r*` `add-log-exp`
4×	`div-exp` `insert-posit16` `associate-/l*`
3×	`cbrt-undiv` `distribute-rgt-out--` `associate-r` `associate-l` `difference-of-squares`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
1×	`rec-exp` `sub-neg` `flip3--` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `frac-sub` `pow-flip` `flip--` `inv-pow` `sub-div` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

37.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
14.0ms	(* x (cos B))
5.0ms	(/ 1 (sin B))
15.0ms	(/ (* x (cos B)) (sin B))

series342.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
54.0ms	(* x (cos B))
14.0ms	(/ 1 (sin B))
135.0ms	(/ (* x (cos B)) (sin B))

simplify1.5s

Counts

108 → 108

Iterations

Iter	Nodes
3	4103
2	997
1	323
0	150

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 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) (cos B)))
0.2b	(/ (sin B) (cos B))
0.2b	(/ 1 (sin B))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
92×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
62×	`add-cube-cbrt`
19×	`associate-/r*`
15×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`associate-/l*` `difference-of-squares`
8×	`div-inv`
6×	`div-exp` `add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`insert-posit16`
3×	`clear-num` `frac-2neg` `distribute-lft-out--`
1×	`rec-exp` `quot-tan` `sub-neg` `flip3--` `diff-log` `1-exp` `associate-/r/` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

4 → 158

Calls

4 calls:

45.0ms	(- (/ 1 (sin B)) (/ x (/ (sin B) (cos B))))
11.0ms	(/ x (/ (sin B) (cos B)))
8.0ms	(/ (sin B) (cos B))
5.0ms	(/ 1 (sin B))

series294.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(- (/ 1 (sin B)) (/ x (/ (sin B) (cos B))))
111.0ms	(/ x (/ (sin B) (cos B)))
22.0ms	(/ (sin B) (cos B))
26.0ms	(/ 1 (sin B))

simplify2.0s

Counts

170 → 170

Iterations

Iter	Nodes
3	5340
2	1694
1	599
0	262

prune1.7s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes132.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	10
1	10
0	8

end0.0ms

sample8.8s

Algorithm

intervals

Results

3.3s	1746×	body	1280	valid
2.1s	1360×	body	640	valid
1.7s	4906×	body	80	valid
730.0ms	759×	body	320	valid
689.0ms	380×	body	160	valid