Details

sample46.0ms

Algorithm

intervals

Results

16.0ms	39×	body	1280	valid
9.0ms	168×	body	80	valid
8.0ms	32×	body	640	valid
1.0ms	8×	body	320	valid
1.0ms	9×	body	160	valid

simplify102.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	27	9
3	33	9
4	39	9
5	48	9
6	61	9
7	74	9
8	87	9
9	101	9
10	122	9
11	136	9
done	136	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.2b	(* z (sin y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

18.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))

series99.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(- (+ x (cos y)) (* z (sin y)))
42.0ms	(* z (sin y))

simplify2.1s

Counts

38 → 38

Iterations

Useful iterations: 3 (174.0ms)

Iter	Nodes	Cost
0	69	365
1	153	346
2	409	338
3	1283	320
4	4198	320
done	5001	320

prune100.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite10.0ms

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:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series819.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(* (cbrt z) (cbrt z))
205.0ms	(cbrt z)
196.0ms	(cbrt z)
194.0ms	(cbrt z)

simplify3.2s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	327	397
3	1169	379
4	3727	374
done	5000	374

prune268.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
0.9b	(pow (cbrt (cbrt z)) 4)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt (cbrt z))
1.0ms	(cbrt (cbrt z))
1.0ms	(cbrt (cbrt z))
3.0ms	(pow (cbrt (cbrt z)) 4)

series1.3s

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt (cbrt z))
268.0ms	(cbrt (cbrt z))
457.0ms	(cbrt (cbrt z))
324.0ms	(pow (cbrt (cbrt z)) 4)

simplify1.8s

Counts

78 → 78

Iterations

Useful iterations: 4 (471.0ms)

Iter	Nodes	Cost
0	70	569
1	143	513
2	278	509
3	652	483
4	2381	469
done	5000	469

prune340.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
0.9b	(pow (cbrt (cbrt z)) 4)
0.9b	(pow (cbrt (cbrt z)) 4)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
18×	`unpow-prod-down`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `pow-unpow`
4×	`pow-pow` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt (cbrt z))
1.0ms	(cbrt (cbrt z))
2.0ms	(pow (cbrt (cbrt z)) 4)
3.0ms	(pow (cbrt (cbrt z)) 4)

series1.3s

Counts

4 → 12

Calls

4 calls:

285.0ms	(cbrt (cbrt z))
269.0ms	(cbrt (cbrt z))
350.0ms	(pow (cbrt (cbrt z)) 4)
354.0ms	(pow (cbrt (cbrt z)) 4)

simplify1.8s

Counts

88 → 88

Iterations

Useful iterations: 4 (472.0ms)

Iter	Nodes	Cost
0	70	706
1	143	630
2	278	622
3	652	598
4	2381	582
done	5000	582

prune399.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes139.0ms

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

sample1.2s

Algorithm

intervals

Results

400.0ms	971×	body	1280	valid
299.0ms	5546×	body	80	valid
239.0ms	875×	body	640	valid
75.0ms	402×	body	320	valid
25.0ms	206×	body	160	valid