Details

sample62.0ms

Algorithm

intervals

Results

17.0ms	27×	body	1280	valid
14.0ms	177×	body	80	valid
9.0ms	26×	body	640	valid
3.0ms	12×	body	160	valid
3.0ms	14×	body	320	valid

simplify165.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	36	9
4	42	9
5	51	9
6	61	9
7	71	9
8	85	9
9	101	9
10	114	9
11	117	9
done	117	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 44

Calls

3 calls:

7.0ms	(+ x (cos y))
69.0ms	(- (+ x (cos y)) (* z (sin y)))
28.0ms	(* z (sin y))

series154.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ x (cos y))
64.0ms	(- (+ x (cos y)) (* z (sin y)))
54.0ms	(* z (sin y))

simplify1.8s

Counts

53 → 53

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	84	477
1	199	446
2	518	420
3	1613	420
done	5001	420

prune233.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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)

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:

14.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (cbrt z) (cbrt z))
300.0ms	(cbrt z)
290.0ms	(cbrt z)
277.0ms	(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

prune290.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.0b	(cbrt (* z (sin y)))
7.0b	(cbrt (* z (sin y)))
7.0b	(cbrt (* z (sin y)))

rewrite45.0ms

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:

24.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms	(cbrt (* z (sin y)))
7.0ms	(cbrt (* z (sin y)))
8.0ms	(cbrt (* z (sin y)))

series734.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
169.0ms	(cbrt (* z (sin y)))
177.0ms	(cbrt (* z (sin y)))
189.0ms	(cbrt (* z (sin y)))

simplify2.7s

Counts

70 → 70

Iterations

Useful iterations: done (2.7s)

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

prune299.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize18.0ms

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))

rewrite26.0ms

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

series587.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
150.0ms	(cbrt (sin y))
136.0ms	(cbrt (sin y))
163.0ms	(cbrt (sin y))

simplify2.3s

Counts

85 → 85

Iterations

Useful iterations: done (2.3s)

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

prune357.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes216.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

965.0ms	5558×	body	80	valid
598.0ms	1000×	body	1280	valid
432.0ms	814×	body	640	valid
172.0ms	398×	body	320	valid
40.0ms	230×	body	160	valid