Details

sample118.0ms

Algorithm

intervals

Results

63.0ms	49×	body	1280	valid
15.0ms	35×	body	640	valid
13.0ms	144×	body	80	valid
4.0ms	15×	body	320	valid
3.0ms	13×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

localize13.0ms

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))

rewrite51.0ms

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:

21.0ms	(+ (* x (cos y)) (* z (sin y)))
18.0ms	(* z (sin y))
9.0ms	(* x (cos y))

series248.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(+ (* x (cos y)) (* z (sin y)))
55.0ms	(* z (sin y))
66.0ms	(* x (cos y))

simplify3.7s

Counts

63 → 63

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	87	494
1	196	449
2	503	417
3	1301	417
4	3744	417
done	5000	417

prune249.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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))

rewrite25.0ms

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:

19.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series702.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
144.0ms	(cbrt (cos y))
148.0ms	(cbrt (cos y))
155.0ms	(cbrt (cos y))

simplify2.9s

Counts

93 → 93

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	68	726
1	128	651
2	353	551
3	1189	529
done	5000	520

prune483.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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 (pow (cos y) 2))
0.3b	(cbrt (cos y))

rewrite75.0ms

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:

59.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
5.0ms	(cbrt (pow (cos y) 2))
3.0ms	(cbrt (cos y))

series463.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
21.0ms	(pow (cos y) 2)
246.0ms	(cbrt (pow (cos y) 2))
140.0ms	(cbrt (cos y))

simplify3.7s

Counts

86 → 86

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	112	763
1	238	704
2	720	610
3	3092	590
done	5000	579

prune421.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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` `expm1-log1p-u`
4×	`add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `log1p-udef` `pow-pow` `log1p-expm1` `pow-exp`

Counts

4 → 62

Calls

4 calls:

7.0ms	(pow (cos y) 2)
5.0ms	(cbrt (pow (cos y) 2))
12.0ms	(cbrt (cos y))
1.0ms	(log1p (cbrt (cos y)))

series666.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(pow (cos y) 2)
248.0ms	(cbrt (pow (cos y) 2))
156.0ms	(cbrt (cos y))
244.0ms	(log1p (cbrt (cos y)))

simplify1.4s

Counts

74 → 74

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	99	530
1	177	478
2	367	412
3	996	403
done	5000	398

prune400.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes244.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	18
1	19	18
done	19	18

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.3s	1438×	body	1280	valid
1.0s	4334×	body	80	valid
859.0ms	1297×	body	640	valid
275.0ms	630×	body	320	valid
138.0ms	301×	body	160	valid