Details

sample340.0ms

Algorithm

intervals

Results

143.0ms	68×	body	1280	valid
85.0ms	142×	body	80	valid
71.0ms	48×	body	640	valid
21.0ms	20×	body	320	valid
3.0ms	5×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
44	704
43	704
42	684
41	661
40	645
39	631
38	625
37	612
36	594
35	582
34	563
33	540
32	524
31	510
30	504
29	491
28	473
27	461
26	442
25	419
24	403
23	389
22	383
21	370
20	352
19	340
18	321
17	298
16	282
15	268
14	262
13	250
12	238
11	220
10	206
9	191
8	186
7	176
6	151
5	102
4	69
3	40
2	32
1	18
0	10

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

279×	`times-frac`
232×	`add-sqr-sqrt`
224×	`*-un-lft-identity`
215×	`add-cube-cbrt`
182×	`prod-diff`
31×	`div-inv`
14×	`tan-quot` `associate-/r/`
13×	`fma-neg`
9×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/r` `associate-/l` `difference-of-squares`
5×	`add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-undiv` `clear-num` `frac-2neg`
1×	`rec-exp` `sub-neg` `flip3--` `diff-log` `1-exp` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

3 → 285

Calls

3 calls:

50.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
9.0ms	(/ 1 (sin B))
5.0ms	(/ x (tan B))

series340.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
26.0ms	(/ 1 (sin B))
163.0ms	(/ x (tan B))

simplify3.8s

Counts

294 → 294

Iterations

Iter	Nodes
3	4657
2	1901
1	834
0	381

prune859.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
46×	`times-frac`
42×	`*-un-lft-identity` `add-cube-cbrt`
15×	`add-exp-log`
13×	`add-cbrt-cube` `fma-neg` `associate-l` `prod-diff`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-r` `associate-*l/`
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 → 142

Calls

4 calls:

28.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
11.0ms	(/ 1 (sin B))
10.0ms	(/ x (sin B))
30.0ms	(* (/ x (sin B)) (cos B))

series390.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
22.0ms	(/ 1 (sin B))
73.0ms	(/ x (sin B))
165.0ms	(* (/ x (sin B)) (cos B))

simplify21.5s

Counts

154 → 154

Iterations

Iter	Nodes
3	4956
2	1362
1	424
0	190

prune756.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
0.1b	(/ 1 (sin B))
0.2b	(/ 1 (tan B))
0.3b	(* x (/ 1 (tan B)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
47×	`times-frac`
43×	`*-un-lft-identity`
42×	`add-cube-cbrt`
21×	`add-exp-log`
14×	`associate-r`
13×	`add-cbrt-cube` `fma-neg` `prod-diff`
8×	`pow1`
6×	`associate-/r` `div-exp` `associate-/l` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-l` `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 → 152

Calls

4 calls:

26.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
5.0ms	(/ 1 (sin B))
7.0ms	(/ 1 (tan B))
15.0ms	(* x (/ 1 (tan B)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
16.0ms	(/ 1 (sin B))
28.0ms	(/ 1 (tan B))
139.0ms	(* x (/ 1 (tan B)))

simplify13.0s

Counts

164 → 164

Iterations

Iter	Nodes
3	3955
2	1271
1	442
0	199

prune724.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (sin B)) (cbrt (sin B)))
0.6b	(cbrt (sin B))
0.6b	(cbrt (sin B))
0.6b	(cbrt (sin B))

rewrite25.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `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 → 85

Calls

4 calls:

19.0ms	(* (cbrt (sin B)) (cbrt (sin B)))
1.0ms	(cbrt (sin B))
1.0ms	(cbrt (sin B))
2.0ms	(cbrt (sin B))

series997.0ms

Counts

4 → 12

Calls

4 calls:

574.0ms	(* (cbrt (sin B)) (cbrt (sin B)))
138.0ms	(cbrt (sin B))
134.0ms	(cbrt (sin B))
151.0ms	(cbrt (sin B))

simplify2.1s

Counts

97 → 97

Iterations

Iter	Nodes
4	4205
3	1174
2	431
1	179
0	81

prune432.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes143.0ms

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

sample6.8s

Algorithm

intervals

Results

2.9s	1736×	body	1280	valid
1.5s	1424×	body	640	valid
1.4s	4880×	body	80	valid
514.0ms	732×	body	320	valid
216.0ms	361×	body	160	valid

Iter	Nodes
44	704
43	704
42	684
41	661
40	645
39	631
38	625
37	612
36	594
35	582
34	563
33	540
32	524
31	510
30	504
29	491
28	473
27	461
26	442
25	419
24	403
23	389
22	383
21	370
20	352
19	340
18	321
17	298
16	282
15	268
14	262
13	250
12	238
11	220
10	206
9	191
8	186
7	176
6	151
5	102
4	69
3	40
2	32
1	18
0	10

Iter	Nodes
44	704
43	704
42	684
41	661
40	645
39	631
38	625
37	612
36	594
35	582
34	563
33	540
32	524
31	510
30	504
29	491
28	473
27	461
26	442
25	419
24	403
23	389
22	383
21	370
20	352
19	340
18	321
17	298
16	282
15	268
14	262
13	250
12	238
11	220
10	206
9	191
8	186
7	176
6	151
5	102
4	69
3	40
2	32
1	18
0	10

Iter	Nodes
44	704
43	704
42	684
41	661
40	645
39	631
38	625
37	612
36	594
35	582
34	563
33	540
32	524
31	510
30	504
29	491
28	473
27	461
26	442
25	419
24	403
23	389
22	383
21	370
20	352
19	340
18	321
17	298
16	282
15	268
14	262
13	250
12	238
11	220
10	206
9	191
8	186
7	176
6	151
5	102
4	69
3	40
2	32
1	18
0	10