Details

sample47.0ms

Algorithm

intervals

Results

12.0ms	26×	body	1280	valid
12.0ms	170×	body	80	valid
10.0ms	38×	body	640	valid
2.0ms	10×	body	320	valid
2.0ms	12×	body	160	valid

simplify122.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	27	9
3	37	9
4	53	9
5	64	9
6	77	9
7	95	9
8	111	9
9	120	9
10	145	9
11	163	9
done	163	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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:

25.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))

series87.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(- (+ x (cos y)) (* z (sin y)))
38.0ms	(* z (sin y))

simplify1.1s

Counts

50 → 50

Iterations

Useful iterations: 3 (297.0ms)

Iter	Nodes	Cost
0	82	511
1	177	491
2	548	443
3	2425	428
done	5000	428

prune132.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.2b	(cbrt (* z (sin y)))
7.2b	(cbrt (* z (sin y)))
7.2b	(cbrt (* z (sin y)))

rewrite13.0ms

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:

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

series520.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
122.0ms	(cbrt (* z (sin y)))
123.0ms	(cbrt (* z (sin y)))
120.0ms	(cbrt (* z (sin y)))

simplify1.2s

Counts

78 → 78

Iterations

Useful iterations: 3 (353.0ms)

Iter	Nodes	Cost
0	91	850
1	194	773
2	563	691
3	2382	595
done	5001	595

prune274.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (sin y))
7.2b	(cbrt (* z (sin y)))
7.2b	(cbrt (* z (sin y)))

rewrite5.0ms

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:

0.0ms	(cbrt z)
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (* z (sin y)))
2.0ms	(cbrt (* z (sin y)))

series530.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt z)
101.0ms	(cbrt (sin y))
124.0ms	(cbrt (* z (sin y)))
122.0ms	(cbrt (* z (sin y)))

simplify2.0s

Counts

60 → 60

Iterations

Useful iterations: 4 (822.0ms)

Iter	Nodes	Cost
0	87	421
1	168	408
2	350	371
3	976	335
4	4473	318
done	5000	318

prune235.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
7.2b	(cbrt (* z (sin y)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`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 → 50

Calls

4 calls:

0.0ms	(cbrt z)
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (* z (sin y)))

series490.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt z)
96.0ms	(cbrt (sin y))
97.0ms	(cbrt (sin y))
123.0ms	(cbrt (* z (sin y)))

simplify1.8s

Counts

62 → 62

Iterations

Useful iterations: 4 (632.0ms)

Iter	Nodes	Cost
0	87	396
1	168	377
2	350	342
3	976	318
4	4473	308
done	5000	308

prune234.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes99.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	19	23
done	19	23

end0.0ms

sample1.3s

Algorithm

intervals

Results

426.0ms	989×	body	1280	valid
311.0ms	5550×	body	80	valid
221.0ms	863×	body	640	valid
71.0ms	397×	body	320	valid
25.0ms	201×	body	160	valid