Details

sample88.0ms

Algorithm

intervals

Results

29.0ms	44×	body	1280	valid
18.0ms	45×	body	640	valid
14.0ms	136×	body	80	valid
5.0ms	17×	body	320	valid
3.0ms	14×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

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))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

8.0ms	(- (* x (cos y)) (* z (sin y)))
31.0ms	(* x (cos y))
7.0ms	(* z (sin y))

series229.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(- (* x (cos y)) (* z (sin y)))
54.0ms	(* x (cos y))
45.0ms	(* z (sin y))

simplify1.7s

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
3	2577
2	566
1	180
0	80

prune367.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

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))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

24.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series728.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
129.0ms	(cbrt (cos y))
163.0ms	(cbrt (cos y))
207.0ms	(cbrt (cos y))

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune547.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
0.2b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
17×	`add-sqr-sqrt`
15×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube` `associate-r` `prod-exp`
7×	`associate-l` `cbrt-unprod`
6×	`cbrt-prod`
4×	`add-log-exp`
3×	`swap-sqr` `pow-prod-down` `*-commutative`
2×	`pow-exp` `unswap-sqr`
1×	`pow2` `pow-to-exp` `sqr-cos` `pow-plus` `unpow1/3` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 80

Calls

4 calls:

13.0ms	(* z (sin y))
40.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
8.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series350.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* z (sin y))
73.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
39.0ms	(* (cos y) (cos y))
159.0ms	(cbrt (cos y))

simplify1.9s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	2181
1	349
0	134

prune627.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`cbrt-prod` `pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
8×	`add-exp-log`
7×	`associate-l`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1/3` `add-log-exp`
3×	`swap-sqr` `pow-prod-down` `cos-mult`
2×	`cbrt-div` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`pow2` `sqr-cos` `pow-plus` `pow3` `associate-*l/` `pow-sqr` `pow-prod-up`

Counts

4 → 76

Calls

4 calls:

16.0ms	(* (cbrt (* (cos y) (cos y))) (cbrt (cos y)))
9.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))
8.0ms	(cbrt (* (cos y) (cos y)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (cbrt (* (cos y) (cos y))) (cbrt (cos y)))
29.0ms	(* (cos y) (cos y))
133.0ms	(cbrt (cos y))
275.0ms	(cbrt (* (cos y) (cos y)))

simplify1.6s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1538
1	252
0	105

prune639.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes354.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.8s	1481×	body	1280	valid
1.1s	1303×	body	640	valid
559.0ms	4303×	body	80	valid
317.0ms	632×	body	320	valid
67.0ms	281×	body	160	valid