Details

sample23.0ms

Algorithm

intervals

Results

8.0ms	243×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	6×	body	320	valid
0.0ms	2×	body	640	valid

simplify337.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	61	11
3	145	9
4	224	9
5	229	9
done	229	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x y) y) x)
0.0b	(+ (+ x y) y)
0.0b	(+ (+ (+ (+ (+ x y) y) x) z) x)

rewrite3.0s

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity` `add-log-exp`
24×	`sum-log` `distribute-lft-out`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

3 → 53

Calls

3 calls:

187.0ms	(+ (+ (+ x y) y) x)
28.0ms	(+ (+ x y) y)
2.8s	(+ (+ (+ (+ (+ x y) y) x) z) x)

series125.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (+ (+ x y) y) x)
43.0ms	(+ (+ x y) y)
47.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)

simplify994.0ms

Counts

62 → 62

Iterations

Useful iterations: done (992.0ms)

Iter	Nodes	Cost
0	88	720
1	233	674
2	894	632
done	5000	528

prune160.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x y) y) x)
0.0b	(+ (+ (+ (+ x y) y) x) (+ z x))
0.0b	(+ (+ x y) y)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity` `add-log-exp`
33×	`sum-log` `distribute-lft-out`
7×	`flip3-+` `flip-+`
4×	`frac-add`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `add-cbrt-cube`
1×	`associate-+r+`

Counts

3 → 64

Calls

3 calls:

207.0ms	(+ (+ (+ x y) y) x)
816.0ms	(+ (+ (+ (+ x y) y) x) (+ z x))
39.0ms	(+ (+ x y) y)

series128.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (+ (+ x y) y) x)
36.0ms	(+ (+ (+ (+ x y) y) x) (+ z x))
45.0ms	(+ (+ x y) y)

simplify1.1s

Counts

73 → 73

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	114	1081
1	339	994
2	1493	966
done	5000	931

prune175.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) (+ z (* 2 y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

40.0ms

(+ (* 3 x) (+ z (* 2 y)))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(+ (* 3 x) (+ z (* 2 y)))

simplify1.3s

Counts

16 → 16

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	34	225
1	113	212
2	426	194
3	1766	194
done	5000	194

prune73.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
0.6b	(cbrt (+ (+ (+ x y) y) x))
0.6b	(cbrt (+ (+ (+ x y) y) x))
0.6b	(cbrt (+ (+ (+ x y) y) x))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
78×	`distribute-lft-out`
70×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`swap-sqr`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

760.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
80.0ms	(cbrt (+ (+ (+ x y) y) x))
94.0ms	(cbrt (+ (+ (+ x y) y) x))
98.0ms	(cbrt (+ (+ (+ x y) y) x))

series1.3s

Counts

4 → 12

Calls

4 calls:

363.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
318.0ms	(cbrt (+ (+ (+ x y) y) x))
311.0ms	(cbrt (+ (+ (+ x y) y) x))
287.0ms	(cbrt (+ (+ (+ x y) y) x))

simplify1.9s

Counts

129 → 129

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	139	2580
1	303	2383
2	828	2265
3	2633	1628
done	5002	1518

prune471.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	13	11
done	13	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

883.0ms	7405×	body	80	valid
31.0ms	170×	body	1280	valid
31.0ms	199×	body	640	valid
15.0ms	129×	body	320	valid
10.0ms	42×	body	2560	valid
5.0ms	66×	body	160	valid