Details

sample392.0ms

Algorithm

intervals

Results

125.0ms	53×	body	640	valid
96.0ms	46×	body	1280	valid
46.0ms	152×	body	80	valid
20.0ms	20×	body	320	valid
10.0ms	15×	body	160	valid

simplify3.0s

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

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))

rewrite101.0ms

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:

55.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
11.0ms	(/ 1 (sin B))
21.0ms	(/ x (tan B))

series380.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
28.0ms	(/ 1 (sin B))
195.0ms	(/ x (tan B))

simplify3.9s

Counts

294 → 294

Iterations

Iter	Nodes
3	4657
2	1901
1	834
0	381

prune3.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
138×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
42×	`associate-/r*`
21×	`add-cbrt-cube` `add-exp-log`
16×	`div-inv`
12×	`associate-/l*`
10×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r/`

Counts

4 → 249

Calls

4 calls:

12.0ms	(/ (sin B) x)
11.0ms	(/ (cos B) (/ (sin B) x))
11.0ms	(/ (cos B) (/ (sin B) x))
15.0ms	(/ (cos B) (/ (sin B) x))

series321.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (sin B) x)
81.0ms	(/ (cos B) (/ (sin B) x))
91.0ms	(/ (cos B) (/ (sin B) x))
109.0ms	(/ (cos B) (/ (sin B) x))

simplify2.7s

Counts

261 → 261

Iterations

Iter	Nodes
3	3907
2	1389
1	436
0	183

prune3.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite12.0ms

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:

9.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

278.0ms	(* (cbrt x) (cbrt x))
257.0ms	(cbrt x)
310.0ms	(cbrt x)
260.0ms	(cbrt x)

simplify1.3s

Counts

97 → 97

Iterations

Iter	Nodes
4	3178
3	858
2	330
1	135
0	67

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin B)) (cbrt (sin B)))
0.7b	(cbrt (sin B))
0.7b	(cbrt (sin B))
0.7b	(cbrt (sin B))

rewrite34.0ms

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:

24.0ms	(* (cbrt (sin B)) (cbrt (sin B)))
2.0ms	(cbrt (sin B))
3.0ms	(cbrt (sin B))
3.0ms	(cbrt (sin B))

series706.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt (sin B)) (cbrt (sin B)))
150.0ms	(cbrt (sin B))
164.0ms	(cbrt (sin B))
189.0ms	(cbrt (sin B))

simplify2.6s

Counts

97 → 97

Iterations

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

prune1.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes151.0ms

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	12
1	12
0	11

end0.0ms

sample8.5s

Algorithm

intervals

Results

2.9s	1688×	body	1280	valid
2.4s	1462×	body	640	valid
1.6s	4846×	body	80	valid
1.1s	729×	body	320	valid
248.0ms	336×	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