Details

sample56.0ms

Algorithm

intervals

Results

21.0ms	48×	body	1280	valid
10.0ms	39×	body	640	valid
8.0ms	142×	body	80	valid
6.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
done	19	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

4.0ms	(* z (sin y))
4.0ms	(* x (cos y))

series78.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify1.7s

Counts

42 → 42

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	62	254
1	118	248
2	230	216
3	300	216
4	429	216
5	787	216
6	1891	216
done	5000	216

prune110.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite11.0ms

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:

7.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series464.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
104.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))

simplify3.4s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	355	521
3	1333	499
4	4814	492
done	5000	492

prune241.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite19.0ms

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×	`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 → 66

Calls

4 calls:

14.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (pow (cos y) 2))

series310.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
96.0ms	(cbrt (cos y))
157.0ms	(cbrt (pow (cos y) 2))

simplify2.1s

Counts

78 → 78

Iterations

Useful iterations: 3 (919.0ms)

Iter	Nodes	Cost
0	104	709
1	231	653
2	766	562
3	3413	541
done	5000	541

prune227.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (* (pow (pow (cos y) 2) 2/3) (cbrt (pow (cos y) 2))))
0.4b	(cbrt (pow (cos y) 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
5.0ms	(cbrt (* (pow (pow (cos y) 2) 2/3) (cbrt (pow (cos y) 2))))
1.0ms	(cbrt (pow (cos y) 2))

series427.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(pow (cos y) 2)
97.0ms	(cbrt (cos y))
157.0ms	(cbrt (* (pow (pow (cos y) 2) 2/3) (cbrt (pow (cos y) 2))))
157.0ms	(cbrt (pow (cos y) 2))

simplify2.8s

Counts

66 → 66

Iterations

Useful iterations: 4 (804.0ms)

Iter	Nodes	Cost
0	86	585
1	160	524
2	349	464
3	855	410
4	4114	380
done	5001	380

prune424.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes98.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	25
1	22	25
done	22	25

end0.0ms

sample1.6s

Algorithm

intervals

Results

628.0ms	1519×	body	1280	valid
313.0ms	1214×	body	640	valid
253.0ms	4352×	body	80	valid
112.0ms	596×	body	320	valid
39.0ms	319×	body	160	valid