Details

sample124.0ms

Algorithm

intervals

Results

46.0ms	50×	body	1280	valid
25.0ms	43×	body	640	valid
18.0ms	128×	body	80	valid
9.0ms	23×	body	320	valid
3.0ms	12×	body	160	valid

simplify24.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	9
3	25	9
done	25	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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))

rewrite61.0ms

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`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 56

Calls

3 calls:

22.0ms	(- (* x (cos y)) (* z (sin y)))
19.0ms	(* z (sin y))
17.0ms	(* x (cos y))

series255.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(- (* x (cos y)) (* z (sin y)))
58.0ms	(* z (sin y))
79.0ms	(* x (cos y))

simplify2.9s

Counts

65 → 65

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	92	527
1	191	495
2	441	459
3	1122	459
4	2532	453
done	5000	453

prune256.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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)

rewrite16.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

369.0ms	(* (cbrt z) (cbrt z))
380.0ms	(cbrt z)
267.0ms	(cbrt z)
290.0ms	(cbrt z)

simplify5.8s

Counts

93 → 93

Iterations

Useful iterations: done (5.8s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune523.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

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)))

rewrite70.0ms

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×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `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 → 66

Calls

4 calls:

42.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.0ms	(cbrt (* z (sin y)))
8.0ms	(cbrt (* z (sin y)))
9.0ms	(cbrt (* z (sin y)))

series721.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
176.0ms	(cbrt (* z (sin y)))
176.0ms	(cbrt (* z (sin y)))
167.0ms	(cbrt (* z (sin y)))

simplify3.8s

Counts

78 → 78

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	91	850
1	194	773
2	478	689
3	1256	593
4	3964	531
done	5000	494

prune361.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

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)))

rewrite69.0ms

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×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `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 → 66

Calls

4 calls:

38.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
10.0ms	(cbrt (* x (cos y)))
9.0ms	(cbrt (* x (cos y)))
10.0ms	(cbrt (* x (cos y)))

series873.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
225.0ms	(cbrt (* x (cos y)))
202.0ms	(cbrt (* x (cos y)))
227.0ms	(cbrt (* x (cos y)))

simplify3.8s

Counts

78 → 78

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	85	804
1	177	722
2	466	642
3	1348	569
4	4439	527
done	5000	524

prune257.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes137.0ms

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

sample3.1s

Algorithm

intervals

Results

1.4s	1528×	body	1280	valid
614.0ms	1262×	body	640	valid
453.0ms	4226×	body	80	valid
224.0ms	648×	body	320	valid
59.0ms	336×	body	160	valid