Details

sample222.0ms

Algorithm

intervals

Results

83.0ms	61×	body	1280	valid
69.0ms	50×	body	640	valid
40.0ms	168×	body	80	valid
14.0ms	20×	body	320	valid
2.0ms	5×	body	160	valid

simplify2.9s

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

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))

rewrite48.0ms

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:

26.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
5.0ms	(/ x (tan B))
10.0ms	(/ 1 (sin B))

series305.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
142.0ms	(/ x (tan B))
21.0ms	(/ 1 (sin B))

simplify4.1s

Counts

294 → 294

Iterations

Iter	Nodes
3	4946
2	1912
1	834
0	381

prune3.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
107×	`add-sqr-sqrt`
105×	`*-un-lft-identity`
98×	`add-cube-cbrt`
91×	`prod-diff`
28×	`div-inv`
15×	`add-exp-log`
13×	`add-cbrt-cube` `fma-neg`
7×	`pow1`
6×	`associate-/r*` `add-log-exp`
4×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `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 → 208

Calls

4 calls:

27.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
10.0ms	(* x (cos B))
11.0ms	(/ 1 (sin B))
18.0ms	(/ (* x (cos B)) (sin B))

series288.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
46.0ms	(* x (cos B))
22.0ms	(/ 1 (sin B))
118.0ms	(/ (* x (cos B)) (sin B))

simplify1.0m

Counts

220 → 220

Iterations

Iter	Nodes
3	8868
2	1615
1	605
0	269

prune1.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite75.0ms

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:

31.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
9.0ms	(/ 1 (tan B))
8.0ms	(/ 1 (sin B))
24.0ms	(* x (/ 1 (tan B)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
29.0ms	(/ 1 (tan B))
14.0ms	(/ 1 (sin B))
117.0ms	(* x (/ 1 (tan B)))

simplify11.8s

Counts

164 → 164

Iterations

Iter	Nodes
3	3866
2	1271
1	442
0	199

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div` `tan-quot`
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` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

24.0ms	(* (cbrt (tan B)) (cbrt (tan B)))
3.0ms	(cbrt (tan B))
3.0ms	(cbrt (tan B))
3.0ms	(cbrt (tan B))

series608.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (tan B)) (cbrt (tan B)))
136.0ms	(cbrt (tan B))
157.0ms	(cbrt (tan B))
152.0ms	(cbrt (tan B))

simplify1.1s

Counts

103 → 103

Iterations

Iter	Nodes
4	2189
3	969
2	451
1	194
0	92

prune1.0s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes110.0ms

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	10
1	10
0	9

end0.0ms

sample8.1s

Algorithm

intervals

Results

3.7s	1770×	body	1280	valid
1.6s	1445×	body	640	valid
1.4s	4901×	body	80	valid
924.0ms	665×	body	320	valid
204.0ms	359×	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