Details

sample68.0ms

Algorithm

intervals

Results

22.0ms	41×	body	1280	valid
14.0ms	40×	body	640	valid
11.0ms	151×	body	80	valid
4.0ms	15×	body	320	valid
2.0ms	9×	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

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

rewrite32.0ms

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:

10.0ms	(+ (* x (sin y)) (* z (cos y)))
13.0ms	(* x (sin y))
9.0ms	(* z (cos y))

series155.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ (* x (sin y)) (* z (cos y)))
42.0ms	(* x (sin y))
37.0ms	(* z (cos y))

simplify2.1s

Counts

56 → 56

Iterations

Useful iterations: 2 (71.0ms)

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

prune137.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite18.0ms

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:

13.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series448.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
97.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))
92.0ms	(cbrt (cos y))

simplify4.0s

Counts

85 → 85

Iterations

Useful iterations: 4 (2.2s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	336	521
3	1141	499
4	4928	492
done	5001	492

prune232.0ms

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 x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite15.0ms

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:

11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series748.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt x) (cbrt x))
179.0ms	(cbrt x)
179.0ms	(cbrt x)
183.0ms	(cbrt x)

simplify3.6s

Counts

85 → 85

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune233.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
14.0ms	(* (cbrt (sin y)) (cbrt (sin y)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt (sin y))
95.0ms	(cbrt (sin y))
101.0ms	(cbrt (sin y))
111.0ms	(* (cbrt (sin y)) (cbrt (sin y)))

simplify1.9s

Counts

85 → 85

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	75	710
1	156	628
2	408	534
3	1250	512
done	5000	507

prune208.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.6s

Algorithm

intervals

Results

632.0ms	1504×	body	1280	valid
301.0ms	1243×	body	640	valid
228.0ms	4298×	body	80	valid
111.0ms	638×	body	320	valid
37.0ms	317×	body	160	valid