Details

sample90.0ms

Algorithm

intervals

Results

31.0ms	44×	body	1280	valid
16.0ms	38×	body	640	valid
15.0ms	150×	body	80	valid
6.0ms	17×	body	320	valid
1.0ms	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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))
0.1b	(* x (cos y))

rewrite58.0ms

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:

18.0ms	(+ (* x (cos y)) (* z (sin y)))
20.0ms	(* z (sin y))
19.0ms	(* x (cos y))

series235.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(+ (* x (cos y)) (* z (sin y)))
63.0ms	(* z (sin y))
46.0ms	(* x (cos y))

simplify2.7s

Counts

56 → 56

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	81	454
1	194	426
2	639	392
3	3554	392
done	5001	392

prune343.0ms

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

rewrite26.0ms

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:

14.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
7.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series679.0ms

Counts

4 → 12

Calls

4 calls:

261.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
150.0ms	(cbrt (cos y))
145.0ms	(cbrt (cos y))
123.0ms	(cbrt (cos y))

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	64	686
1	146	615
2	687	521
done	5001	507

prune539.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (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)
0.3b	(cbrt (cos y))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

39.0ms	(* x (pow (pow (cos y) 2) 1/3))
68.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
4.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series383.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* x (pow (pow (cos y) 2) 1/3))
58.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
21.0ms	(pow (cos y) 2)
145.0ms	(cbrt (cos y))

simplify1.9s

Counts

102 → 102

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	133	1081
1	360	898
2	1784	792
done	5001	774

prune653.0ms

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	(pow (cos y) 2)
0.3b	(pow (cos y) 2)
0.3b	(cbrt (pow (pow (cos y) 2) 2/3))
0.3b	(cbrt (cos y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

3.0ms	(pow (cos y) 2)
4.0ms	(pow (cos y) 2)
17.0ms	(cbrt (pow (pow (cos y) 2) 2/3))
2.0ms	(cbrt (cos y))

series411.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(pow (cos y) 2)
33.0ms	(pow (cos y) 2)
217.0ms	(cbrt (pow (pow (cos y) 2) 2/3))
132.0ms	(cbrt (cos y))

simplify3.0s

Counts

79 → 79

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	98	668
1	227	596
2	766	513
3	3118	504
done	5000	497

prune589.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes257.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	26
1	24	26
done	24	26

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.3s	1474×	body	1280	valid
1.0s	4385×	body	80	valid
763.0ms	1243×	body	640	valid
452.0ms	597×	body	320	valid
71.0ms	301×	body	160	valid