Details

sample55.0ms

Algorithm

intervals

Results

19.0ms	46×	body	1280	valid
14.0ms	54×	body	640	valid
7.0ms	127×	body	80	valid
3.0ms	14×	body	320	valid
2.0ms	15×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

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

series155.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (* x (sin y)) (* z (cos y)))
44.0ms	(* x (sin y))
38.0ms	(* z (cos y))

simplify3.0s

Counts

56 → 56

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	82	458
1	184	430
2	539	396
3	1591	396
4	3657	396
done	5001	396

prune150.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

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))

series434.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
103.0ms	(cbrt (sin y))
105.0ms	(cbrt (sin y))
105.0ms	(cbrt (sin y))

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: 3 (360.0ms)

Iter	Nodes	Cost
0	75	710
1	156	628
2	464	534
3	2018	512
done	5000	512

prune253.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
7.0b	(cbrt (* x (sin y)))
7.0b	(cbrt (* x (sin y)))
7.0b	(cbrt (* x (sin y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

8.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
2.0ms	(cbrt (* x (sin y)))
2.0ms	(cbrt (* x (sin y)))
2.0ms	(cbrt (* x (sin y)))

series559.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
136.0ms	(cbrt (* x (sin y)))
132.0ms	(cbrt (* x (sin y)))
129.0ms	(cbrt (* x (sin y)))

simplify1.2s

Counts

70 → 70

Iterations

Useful iterations: 3 (340.0ms)

Iter	Nodes	Cost
0	87	790
1	189	713
2	552	633
3	2321	536
done	5000	536

prune263.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

7.0b	(cbrt (* x (sin y)))
7.0b	(cbrt (* x (sin y)))
7.0b	(cbrt (* x (sin y)))
7.0b	(cbrt (* x (sin y)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

2.0ms	(cbrt (* x (sin y)))
2.0ms	(cbrt (* x (sin y)))
2.0ms	(cbrt (* x (sin y)))
2.0ms	(cbrt (* x (sin y)))

series561.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (* x (sin y)))
140.0ms	(cbrt (* x (sin y)))
145.0ms	(cbrt (* x (sin y)))
137.0ms	(cbrt (* x (sin y)))

simplify906.0ms

Counts

48 → 48

Iterations

Useful iterations: 4 (246.0ms)

Iter	Nodes	Cost
0	41	452
1	79	448
2	158	404
3	472	352
4	1980	316
done	5001	316

prune189.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	15	22
done	15	22

end0.0ms

sample1.6s

Algorithm

intervals

Results

638.0ms	1514×	body	1280	valid
348.0ms	1281×	body	640	valid
253.0ms	4292×	body	80	valid
115.0ms	605×	body	320	valid
44.0ms	308×	body	160	valid