Details

sample228.0ms

Algorithm

intervals

Results

80.0ms	61×	body	1280	valid
67.0ms	168×	body	80	valid
45.0ms	50×	body	640	valid
18.0ms	20×	body	320	valid
2.0ms	5×	body	160	valid

simplify384.0ms

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: 0.1b

localize24.0ms

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))

rewrite45.0ms

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:

32.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
5.0ms	(/ x (tan B))
6.0ms	(/ 1 (sin B))

series296.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
146.0ms	(/ x (tan B))
27.0ms	(/ 1 (sin B))

simplify12.7s

Counts

93 → 93

Iterations

Iter	Nodes
4	3737
3	1682
2	734
1	294
0	153

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
0.2b	(/ 1 (tan B))
0.2b	(/ 1 (sin B))
0.3b	(* x (/ 1 (tan B)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `times-frac`
28×	`add-cube-cbrt`
21×	`add-exp-log`
14×	`associate-r`
13×	`add-cbrt-cube`
8×	`pow1`
6×	`associate-/r` `div-exp` `associate-/l` `add-log-exp`
4×	`prod-exp` `insert-posit16`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-l` `div-inv` `unswap-sqr`
2×	`clear-num` `frac-2neg` `tan-quot` `associate-*r/` `associate-/r/` `un-div-inv` `frac-sub` `cbrt-unprod` `pow-flip` `inv-pow`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--`

Counts

4 → 118

Calls

4 calls:

25.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
12.0ms	(/ 1 (tan B))
6.0ms	(/ 1 (sin B))
14.0ms	(* x (/ 1 (tan B)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
32.0ms	(/ 1 (tan B))
26.0ms	(/ 1 (sin B))
180.0ms	(* x (/ 1 (tan B)))

simplify8.8s

Counts

130 → 130

Iterations

Iter	Nodes
3	3286
2	1114
1	379
0	175

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

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:

24.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
6.0ms	(/ 1 (sin B))
7.0ms	(/ x (sin B))
25.0ms	(* (/ x (sin B)) (cos B))

series356.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
15.0ms	(/ 1 (sin B))
71.0ms	(/ x (sin B))
126.0ms	(* (/ x (sin B)) (cos B))

simplify19.0s

Counts

120 → 120

Iterations

Iter	Nodes
3	4268
2	1245
1	365
0	166

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin B)) (cbrt (sin B)))
0.6b	(cbrt (sin B))
0.6b	(cbrt (sin B))
0.6b	(cbrt (sin B))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

23.0ms	(* (cbrt (sin B)) (cbrt (sin B)))
1.0ms	(cbrt (sin B))
1.0ms	(cbrt (sin B))
1.0ms	(cbrt (sin B))

series599.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (cbrt (sin B)) (cbrt (sin B)))
150.0ms	(cbrt (sin B))
133.0ms	(cbrt (sin B))
179.0ms	(cbrt (sin B))

simplify2.1s

Counts

89 → 89

Iterations

Iter	Nodes
4	4040
3	1168
2	415
1	173
0	77

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes91.0ms

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
2	10
1	10
0	9

end0.0ms

sample9.4s

Algorithm

intervals

Results

4.8s	1770×	body	1280	valid
1.9s	1445×	body	640	valid
1.6s	4901×	body	80	valid
667.0ms	665×	body	320	valid
194.0ms	359×	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