Details

sample43.0ms

Algorithm

intervals

Results

12.0ms	31×	body	1280	valid
12.0ms	182×	body	80	valid
5.0ms	20×	body	640	valid
3.0ms	19×	body	320	valid
1.0ms	4×	body	160	valid

simplify100.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	27	9
3	33	9
4	39	9
5	48	9
6	61	9
7	74	9
8	87	9
9	101	9
10	122	9
11	136	9
done	136	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.0b	(+ x (cos y))
0.1b	(* z (sin y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 44

Calls

3 calls:

19.0ms	(- (+ x (cos y)) (* z (sin y)))
3.0ms	(+ x (cos y))
4.0ms	(* z (sin y))

series110.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (+ x (cos y)) (* z (sin y)))
24.0ms	(+ x (cos y))
39.0ms	(* z (sin y))

simplify1.8s

Counts

53 → 53

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	84	477
1	195	446
2	479	438
3	1385	438
4	4449	438
done	5000	438

prune131.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series398.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
96.0ms	(cbrt (sin y))
94.0ms	(cbrt (sin y))
99.0ms	(cbrt (sin y))

simplify3.2s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	75	710
1	156	628
2	408	534
3	1332	512
4	4355	505
done	5000	505

prune241.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.7b	(cbrt (cbrt (sin y)))
0.7b	(cbrt (cbrt (sin y)))
0.7b	(cbrt (cbrt (sin y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (cbrt (sin y)))
1.0ms	(cbrt (cbrt (sin y)))
1.0ms	(cbrt (cbrt (sin y)))

series382.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (sin y))
96.0ms	(cbrt (cbrt (sin y)))
94.0ms	(cbrt (cbrt (sin y)))
97.0ms	(cbrt (cbrt (sin y)))

simplify2.3s

Counts

65 → 65

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	56	509
1	113	494
2	224	452
3	479	440
4	1291	440
5	4949	440
done	5000	440

prune238.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (cbrt (pow (sin y) 2)))
0.3b	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
0.6b	(cbrt (sin y))
17.2b	(cbrt (pow (sin y) 2))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-prod`
21×	`add-sqr-sqrt`
17×	`associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log`
7×	`unpow-prod-down` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unpow2` `sqr-pow`
2×	`pow1/3` `*-commutative`

Counts

4 → 78

Calls

4 calls:

11.0ms	(* z (cbrt (pow (sin y) 2)))
14.0ms	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (pow (sin y) 2))

series327.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* z (cbrt (pow (sin y) 2)))
40.0ms	(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
96.0ms	(cbrt (sin y))
112.0ms	(cbrt (pow (sin y) 2))

simplify1.9s

Counts

90 → 90

Iterations

Useful iterations: 3 (804.0ms)

Iter	Nodes	Cost
0	128	911
1	290	853
2	822	732
3	3204	714
done	5000	714

prune245.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes158.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

388.0ms	970×	body	1280	valid
284.0ms	5648×	body	80	valid
196.0ms	760×	body	640	valid
75.0ms	414×	body	320	valid
33.0ms	208×	body	160	valid