Details

sample55.0ms

Algorithm

intervals

Results

19.0ms	46×	body	1280	valid
14.0ms	54×	body	640	valid
7.0ms	127×	body	80	valid
2.0ms	13×	body	320	valid
2.0ms	16×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (cos y)) (* z (sin y)))
0.1b	(* x (cos y))
0.1b	(* z (sin 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`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

3.0ms	(+ (* x (cos y)) (* z (sin y)))
3.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series156.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ (* x (cos y)) (* z (sin y)))
39.0ms	(* x (cos y))
44.0ms	(* z (sin y))

simplify1.5s

Counts

56 → 56

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	81	454
1	183	426
2	432	392
3	969	392
4	2255	392
done	5001	392

prune148.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(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×	`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:

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

series491.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
107.0ms	(cbrt (cos y))
107.0ms	(cbrt (cos y))
108.0ms	(cbrt (cos y))

simplify3.7s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	355	521
3	1333	499
4	4784	492
done	5000	492

prune468.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (pow (cos y) 2) 1/3)
0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

3.0ms	(pow (pow (cos y) 2) 1/3)
17.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series337.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(pow (pow (cos y) 2) 1/3)
38.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
111.0ms	(cbrt (cos y))

simplify2.8s

Counts

91 → 91

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	124	906
1	307	739
2	963	658
3	4364	592
done	5000	592

prune258.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(exp (log (pow (cos y) 2)))
0.3b	(pow (cos y) 2)
0.4b	(cbrt (cos y))
1.9b	(log (pow (cos y) 2))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

2.0ms	(exp (log (pow (cos y) 2)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
2.0ms	(log (pow (cos y) 2))

series255.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(exp (log (pow (cos y) 2)))
18.0ms	(pow (cos y) 2)
107.0ms	(cbrt (cos y))
109.0ms	(log (pow (cos y) 2))

simplify592.0ms

Counts

80 → 80

Iterations

Useful iterations: done (589.0ms)

Iter	Nodes	Cost
0	98	635
1	179	521
2	397	447
3	1080	440
done	5000	436

prune252.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes114.0ms

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	16	19
1	20	19
done	20	19

end0.0ms

sample1.6s

Algorithm

intervals

Results

630.0ms	1513×	body	1280	valid
357.0ms	1288×	body	640	valid
241.0ms	4291×	body	80	valid
103.0ms	592×	body	320	valid
40.0ms	316×	body	160	valid