Details

sample78.0ms

Algorithm

intervals

Results

25.0ms	35×	body	1280	valid
17.0ms	180×	body	80	valid
12.0ms	25×	body	640	valid
2.0ms	7×	body	320	valid
2.0ms	9×	body	160	valid

simplify159.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

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:

47.0ms	(- (+ x (cos y)) (* z (sin y)))
10.0ms	(+ x (cos y))
17.0ms	(* z (sin y))

series148.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- (+ x (cos y)) (* z (sin y)))
43.0ms	(+ x (cos y))
41.0ms	(* z (sin y))

simplify1.2s

Counts

53 → 53

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	84	477
1	199	446
2	520	420
3	1623	420
done	5001	420

prune177.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.7b	(cbrt (* z (sin y)))
6.7b	(cbrt (* z (sin y)))
6.7b	(cbrt (* z (sin y)))

rewrite55.0ms

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:

28.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.0ms	(cbrt (* z (sin y)))
7.0ms	(cbrt (* z (sin y)))
12.0ms	(cbrt (* z (sin y)))

series722.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
169.0ms	(cbrt (* z (sin y)))
189.0ms	(cbrt (* z (sin y)))
157.0ms	(cbrt (* z (sin y)))

simplify2.8s

Counts

70 → 70

Iterations

Useful iterations: done (2.8s)

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

prune252.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (sin y))
0.6b	(cbrt z)
6.7b	(cbrt (* z (sin y)))
6.7b	(cbrt (* z (sin y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

2.0ms	(cbrt (sin y))
1.0ms	(cbrt z)
7.0ms	(cbrt (* z (sin y)))
6.0ms	(cbrt (* z (sin y)))

series656.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt (sin y))
234.0ms	(cbrt z)
171.0ms	(cbrt (* z (sin y)))
144.0ms	(cbrt (* z (sin y)))

simplify1.6s

Counts

52 → 52

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	81	383
1	161	371
2	328	334
3	775	298
4	2465	284
done	5002	281

prune277.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (sin y))
0.6b	(cbrt z)
0.6b	(cbrt z)
6.7b	(cbrt (* z (sin y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 42

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
4.0ms	(cbrt (* z (sin y)))

series759.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (sin y))
267.0ms	(cbrt z)
230.0ms	(cbrt z)
131.0ms	(cbrt (* z (sin y)))

simplify1.6s

Counts

54 → 54

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	81	335
1	161	320
2	328	288
3	775	264
4	2465	257
done	5002	251

prune265.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes177.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

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

869.0ms	5648×	body	80	valid
767.0ms	919×	body	1280	valid
415.0ms	834×	body	640	valid
156.0ms	410×	body	320	valid
36.0ms	189×	body	160	valid