Details

sample78.0ms

Algorithm

intervals

Results

29.0ms	48×	body	1280	valid
15.0ms	36×	body	640	valid
12.0ms	144×	body	80	valid
4.0ms	15×	body	320	valid
3.0ms	13×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))

rewrite46.0ms

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:

20.0ms	(+ (* x (sin y)) (* z (cos y)))
14.0ms	(* x (sin y))
10.0ms	(* z (cos y))

series291.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(+ (* x (sin y)) (* z (cos y)))
70.0ms	(* x (sin y))
78.0ms	(* z (cos y))

simplify3.2s

Counts

56 → 56

Iterations

Useful iterations: 2 (122.0ms)

Iter	Nodes	Cost
0	82	458
1	186	430
2	458	396
3	1054	396
4	2739	396
done	5000	396

prune257.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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:

23.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series674.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
187.0ms	(cbrt (sin y))
146.0ms	(cbrt (sin y))
161.0ms	(cbrt (sin y))

simplify3.1s

Counts

85 → 85

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	75	710
1	156	628
2	405	534
3	1260	512
done	5001	507

prune328.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (sin y))
0.6b	(cbrt (cbrt (sin y)))
0.7b	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
0.9b	(pow (cbrt (cbrt (sin y))) 4)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

3.0ms	(cbrt (sin y))
4.0ms	(cbrt (cbrt (sin y)))
15.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
7.0ms	(pow (cbrt (cbrt (sin y))) 4)

series744.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (sin y))
151.0ms	(cbrt (cbrt (sin y)))
195.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
211.0ms	(pow (cbrt (cbrt (sin y))) 4)

simplify4.0s

Counts

70 → 70

Iterations

Useful iterations: 4 (1.7s)

Iter	Nodes	Cost
0	125	651
1	277	603
2	575	523
3	1303	510
4	4784	498
done	5000	498

prune386.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(* (cbrt z) (cbrt z))

rewrite21.0ms

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:

2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)
14.0ms	(* (cbrt z) (cbrt z))

series1.1s

Counts

4 → 12

Calls

4 calls:

305.0ms	(cbrt z)
260.0ms	(cbrt z)
276.0ms	(cbrt z)
282.0ms	(* (cbrt z) (cbrt z))

simplify5.7s

Counts

85 → 85

Iterations

Useful iterations: done (5.7s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	321	397
3	1098	379
4	4542	374
done	5000	364

prune344.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes202.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	18
1	15	18
done	15	18

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.2s	1438×	body	1280	valid
995.0ms	4332×	body	80	valid
882.0ms	1294×	body	640	valid
257.0ms	632×	body	320	valid
122.0ms	304×	body	160	valid