Details

sample116.0ms

Algorithm

intervals

Results

41.0ms	48×	body	1280	valid
28.0ms	50×	body	640	valid
15.0ms	127×	body	80	valid
10.0ms	21×	body	320	valid
3.0ms	10×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

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`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

35.0ms	(+ (* x (sin y)) (* z (cos y)))
9.0ms	(* z (cos y))
10.0ms	(* x (sin y))

series259.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(+ (* x (sin y)) (* z (cos y)))
60.0ms	(* z (cos y))
60.0ms	(* x (sin y))

simplify2.9s

Counts

56 → 56

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	82	458
1	186	430
2	458	396
3	1055	396
4	2739	396
done	5000	396

prune239.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

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:

28.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series686.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
151.0ms	(cbrt (cos y))
154.0ms	(cbrt (cos y))
160.0ms	(cbrt (cos y))

simplify6.5s

Counts

85 → 85

Iterations

Useful iterations: 4 (3.7s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	336	521
3	1141	499
4	4928	492
done	5001	492

prune469.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sin y))
0.1b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
13×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`pow1` `associate-r`
6×	`cbrt-prod` `cbrt-unprod`
5×	`pow-exp`
4×	`associate-l` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

11.0ms	(* x (sin y))
46.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
4.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series317.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* x (sin y))
60.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
19.0ms	(pow (cos y) 2)
170.0ms	(cbrt (cos y))

simplify3.5s

Counts

84 → 84

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	125	759
1	287	658
2	846	582
3	3375	521
done	5001	513

prune341.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

17.0ms	(pow (cos y) 2)
7.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))
5.0ms	(cbrt (pow (cos y) 2))

series522.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(pow (cos y) 2)
30.0ms	(pow (cos y) 2)
195.0ms	(cbrt (cos y))
265.0ms	(cbrt (pow (cos y) 2))

simplify1.4s

Counts

75 → 75

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	74	549
1	140	484
2	300	409
3	837	399
done	5001	395

prune450.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes199.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	25
1	23	25
done	23	25

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.4s	1495×	body	1280	valid
1.2s	1228×	body	640	valid
640.0ms	4312×	body	80	valid
217.0ms	654×	body	320	valid
71.0ms	311×	body	160	valid