Details

sample151.0ms

Algorithm

intervals

Results

52.0ms	42×	body	640	valid
48.0ms	57×	body	1280	valid
17.0ms	131×	body	80	valid
7.0ms	16×	body	320	valid
3.0ms	10×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

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:

16.0ms	(+ (* x (sin y)) (* z (cos y)))
14.0ms	(* x (sin y))
14.0ms	(* z (cos y))

series240.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(+ (* x (sin y)) (* z (cos y)))
50.0ms	(* x (sin y))
81.0ms	(* z (cos y))

simplify1.8s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	3257
2	685
1	194
0	81

prune321.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite18.0ms

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:

11.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series776.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
168.0ms	(cbrt (cos y))
148.0ms	(cbrt (cos y))
165.0ms	(cbrt (cos y))

simplify1.0s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune539.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`unpow-prod-down`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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:

9.0ms	(pow (pow (cos y) 2) 1/3)
47.0ms	(* (* (pow (pow (cos y) 2) 1/3) z) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series466.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(pow (pow (cos y) 2) 1/3)
66.0ms	(* (* (pow (pow (cos y) 2) 1/3) z) (cbrt (cos y)))
31.0ms	(pow (cos y) 2)
151.0ms	(cbrt (cos y))

simplify1.1s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1876
1	362
0	128

prune543.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

56.0ms	(* (cbrt (pow (cos y) 2)) (* z (cbrt (cos y))))
5.0ms	(pow (cos y) 2)
4.0ms	(cbrt (pow (cos y) 2))
2.0ms	(cbrt (cos y))

series566.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (cbrt (pow (cos y) 2)) (* z (cbrt (cos y))))
21.0ms	(pow (cos y) 2)
306.0ms	(cbrt (pow (cos y) 2))
163.0ms	(cbrt (cos y))

simplify1.3s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	1124
1	278
0	109

prune555.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes364.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.4s	1508×	body	1280	valid
1.2s	4259×	body	80	valid
637.0ms	1295×	body	640	valid
192.0ms	630×	body	320	valid
65.0ms	308×	body	160	valid