Details

sample514.0ms

Algorithm

intervals

Results

448.0ms	44×	body	1280	valid
25.0ms	45×	body	640	valid
14.0ms	136×	body	80	valid
6.0ms	17×	body	320	valid
3.0ms	14×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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))

rewrite25.0ms

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×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 47

Calls

3 calls:

8.0ms	(+ (* x (cos y)) (* z (sin y)))
7.0ms	(* x (cos y))
8.0ms	(* z (sin y))

series288.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(+ (* x (cos y)) (* z (sin y)))
66.0ms	(* x (cos y))
93.0ms	(* z (sin y))

simplify2.2s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
3	3228
2	684
1	192
0	80

prune332.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

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))

rewrite24.0ms

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:

16.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series776.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
179.0ms	(cbrt (cos y))
180.0ms	(cbrt (cos y))
186.0ms	(cbrt (cos y))

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune593.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

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))

rewrite71.0ms

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:

8.0ms	(* z (sin y))
39.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
17.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series330.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* z (sin y))
69.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
21.0ms	(* (cos y) (cos y))
160.0ms	(cbrt (cos y))

simplify1.8s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	2181
1	349
0	134

prune615.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

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)))

rewrite66.0ms

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:

33.0ms	(* (cbrt (* (cos y) (cos y))) (cbrt (cos y)))
18.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))
9.0ms	(cbrt (* (cos y) (cos y)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (cbrt (* (cos y) (cos y))) (cbrt (cos y)))
39.0ms	(* (cos y) (cos y))
206.0ms	(cbrt (cos y))
241.0ms	(cbrt (* (cos y) (cos y)))

simplify1.6s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1538
1	252
0	105

prune629.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes298.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.8s	1481×	body	1280	valid
813.0ms	1303×	body	640	valid
569.0ms	4303×	body	80	valid
197.0ms	632×	body	320	valid
122.0ms	281×	body	160	valid