Details

sample93.0ms

Algorithm

intervals

Results

33.0ms	50×	body	1280	valid
19.0ms	43×	body	640	valid
12.0ms	128×	body	80	valid
8.0ms	23×	body	320	valid
2.0ms	12×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
done	19	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

12.0ms	(- (* x (cos y)) (* z (sin y)))
9.0ms	(* z (sin y))
9.0ms	(* x (cos y))

series207.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(- (* x (cos y)) (* z (sin y)))
41.0ms	(* z (sin y))
62.0ms	(* x (cos y))

simplify2.3s

Counts

57 → 57

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	82	464
1	175	436
2	392	402
3	938	402
4	2100	402
done	5000	402

prune222.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite23.0ms

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:

18.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

378.0ms	(* (cbrt z) (cbrt z))
283.0ms	(cbrt z)
298.0ms	(cbrt z)
311.0ms	(cbrt z)

simplify5.2s

Counts

85 → 85

Iterations

Useful iterations: done (5.2s)

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

prune454.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.8b	(cbrt (* z (sin y)))
7.8b	(cbrt (* z (sin y)))
7.8b	(cbrt (* z (sin y)))

rewrite42.0ms

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:

23.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))
7.0ms	(cbrt (* z (sin y)))

series777.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
166.0ms	(cbrt (* z (sin y)))
183.0ms	(cbrt (* z (sin y)))
209.0ms	(cbrt (* z (sin y)))

simplify3.2s

Counts

70 → 70

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	87	790
1	189	713
2	460	629
3	1192	540
4	3815	482
done	5001	448

prune394.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
0.5b	(cbrt (* x (cos y)))
0.5b	(cbrt (* x (cos y)))
0.5b	(cbrt (* x (cos y)))

rewrite73.0ms

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:

44.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
8.0ms	(cbrt (* x (cos y)))
9.0ms	(cbrt (* x (cos y)))
9.0ms	(cbrt (* x (cos y)))

series859.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
190.0ms	(cbrt (* x (cos y)))
207.0ms	(cbrt (* x (cos y)))
210.0ms	(cbrt (* x (cos y)))

simplify3.7s

Counts

70 → 70

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	81	744
1	173	662
2	456	582
3	1292	519
4	4271	476
done	5000	442

prune297.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes179.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	14	16
done	14	16

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.7s	1528×	body	1280	valid
748.0ms	1262×	body	640	valid
521.0ms	4226×	body	80	valid
495.0ms	336×	body	160	valid
245.0ms	648×	body	320	valid