Details

sample52.0ms

Algorithm

intervals

Results

20.0ms	48×	body	1280	valid
10.0ms	39×	body	640	valid
8.0ms	142×	body	80	valid
3.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 54

Calls

3 calls:

3.0ms	(+ (* x (cos y)) (* z (sin y)))
3.0ms	(* z (sin y))
3.0ms	(* x (cos y))

series148.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ (* x (cos y)) (* z (sin y)))
37.0ms	(* z (sin y))
41.0ms	(* x (cos y))

simplify1.3s

Counts

63 → 63

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	87	494
1	198	449
2	643	417
3	2056	417
done	5000	417

prune169.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series461.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
100.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))
99.0ms	(cbrt (cos y))

simplify1.8s

Counts

93 → 93

Iterations

Useful iterations: 3 (327.0ms)

Iter	Nodes	Cost
0	68	726
1	131	655
2	486	551
3	2287	529
done	5000	529

prune274.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 74

Calls

4 calls:

16.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (pow (cos y) 2))

series326.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
104.0ms	(cbrt (cos y))
167.0ms	(cbrt (pow (cos y) 2))

simplify562.0ms

Counts

86 → 86

Iterations

Useful iterations: done (560.0ms)

Iter	Nodes	Cost
0	112	763
1	250	706
2	1026	610
done	5001	607

prune286.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(expm1 (log1p (cbrt (pow (cos y) 2))))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

11×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `expm1-log1p` `pow-pow` `pow-exp` `expm1-udef`

Counts

4 → 62

Calls

4 calls:

0.0ms	(expm1 (log1p (cbrt (pow (cos y) 2))))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (pow (cos y) 2))

series602.0ms

Counts

4 → 12

Calls

4 calls:

316.0ms	(expm1 (log1p (cbrt (pow (cos y) 2))))
17.0ms	(pow (cos y) 2)
103.0ms	(cbrt (cos y))
166.0ms	(cbrt (pow (cos y) 2))

simplify1.5s

Counts

74 → 74

Iterations

Useful iterations: 3 (309.0ms)

Iter	Nodes	Cost
0	91	565
1	168	491
2	515	427
3	1685	414
done	5000	414

prune242.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes142.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	17	16
done	17	16

end0.0ms

sample1.5s

Algorithm

intervals

Results

621.0ms	1519×	body	1280	valid
320.0ms	1214×	body	640	valid
236.0ms	4352×	body	80	valid
100.0ms	596×	body	320	valid
38.0ms	319×	body	160	valid