Details

sample131.0ms

Algorithm

intervals

Results

54.0ms	47×	body	1280	valid
24.0ms	40×	body	640	valid
17.0ms	138×	body	80	valid
10.0ms	24×	body	320	valid
3.0ms	7×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune5.0ms

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

rewrite41.0ms

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:

19.0ms	(+ (* x (cos y)) (* z (sin y)))
10.0ms	(* x (cos y))
10.0ms	(* z (sin y))

series235.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(+ (* x (cos y)) (* z (sin y)))
65.0ms	(* x (cos y))
73.0ms	(* z (sin y))

simplify2.5s

Counts

56 → 56

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	81	454
1	194	426
2	639	392
3	3387	392
done	5001	392

prune243.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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:

2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
27.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

series772.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (cos y))
193.0ms	(cbrt (cos y))
172.0ms	(cbrt (cos y))
236.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	64	686
1	146	615
2	626	521
done	5000	507

prune414.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite70.0ms

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:

6.0ms	(pow (pow (cos y) 2) 1/3)
56.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series513.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(pow (pow (cos y) 2) 1/3)
56.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
30.0ms	(pow (cos y) 2)
164.0ms	(cbrt (cos y))

simplify1.8s

Counts

91 → 91

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	124	906
1	355	751
2	1741	661
done	5000	628

prune468.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (cos y) 2)
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.3b	(* (pow (pow (cos y) 2) 1/6) (pow (pow (cos y) 2) 1/6))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

110×	`unpow-prod-down`
57×	`add-sqr-sqrt`
42×	`pow-exp`
36×	`add-exp-log` `unswap-sqr`
34×	`sqr-pow`
25×	`prod-exp`
22×	`pow-to-exp`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`unpow2`
12×	`swap-sqr` `associate-r` `associate-l`
6×	`pow1` `pow-unpow` `add-cbrt-cube`
4×	`add-log-exp`
3×	`cbrt-prod`
2×	`pow-pow`
1×	`pow2` `pow1/3` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 157

Calls

4 calls:

7.0ms	(pow (cos y) 2)
7.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))
84.0ms	(* (pow (pow (cos y) 2) 1/6) (pow (pow (cos y) 2) 1/6))

series462.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(pow (cos y) 2)
18.0ms	(pow (cos y) 2)
136.0ms	(cbrt (cos y))
277.0ms	(* (pow (pow (cos y) 2) 1/6) (pow (pow (cos y) 2) 1/6))

simplify1.6s

Counts

169 → 169

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	166	2721
1	394	1924
2	1930	1495
done	5001	1474

prune551.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes256.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	18	17
done	18	17

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.4s	1531×	body	1280	valid
950.0ms	4296×	body	80	valid
936.0ms	1259×	body	640	valid
256.0ms	584×	body	320	valid
76.0ms	330×	body	160	valid