Details

sample67.0ms

Algorithm

intervals

Results

18.0ms	31×	body	1280	valid
14.0ms	168×	body	80	valid
12.0ms	32×	body	640	valid
5.0ms	18×	body	320	valid
1.0ms	7×	body	160	valid

simplify218.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	40	9
4	56	9
5	67	9
6	81	9
7	98	9
8	126	9
9	145	9
10	158	9
11	179	9
done	179	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `fma-neg` `prod-diff` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `diff-log` `log1p-expm1-u` `distribute-lft-out`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 44

Calls

2 calls:

54.0ms	(- (+ x (cos y)) (* z (sin y)))
10.0ms	(* z (sin y))

series111.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(- (+ x (cos y)) (* z (sin y)))
54.0ms	(* z (sin y))

simplify1.9s

Counts

50 → 50

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	82	511
1	180	491
2	488	443
3	1856	432
done	5000	405

prune162.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite35.0ms

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:

20.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
5.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series699.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
171.0ms	(cbrt (* z (sin y)))
179.0ms	(cbrt (* z (sin y)))
148.0ms	(cbrt (* z (sin y)))

simplify3.1s

Counts

78 → 78

Iterations

Useful iterations: done (3.0s)

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

prune296.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

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

series794.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt z)
137.0ms	(cbrt (sin y))
177.0ms	(cbrt (* z (sin y)))
186.0ms	(cbrt (* z (sin y)))

simplify1.8s

Counts

60 → 60

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	87	421
1	168	408
2	342	371
3	801	335
4	2583	318
done	5000	315

prune307.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

7.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))
17.0ms	(cbrt (* z (sin y)))

series594.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (* z (sin y)))
159.0ms	(cbrt (* z (sin y)))
140.0ms	(cbrt (* z (sin y)))
137.0ms	(cbrt (* z (sin y)))

simplify4.0s

Counts

56 → 56

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	43	500
1	81	496
2	155	452
3	385	400
4	1128	360
5	3732	360
done	5001	356

prune317.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes166.0ms

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

sample2.8s

Algorithm

intervals

Results

962.0ms	5614×	body	80	valid
875.0ms	974×	body	1280	valid
334.0ms	811×	body	640	valid
150.0ms	403×	body	320	valid
39.0ms	198×	body	160	valid