Details

sample34.0ms

Algorithm

intervals

Results

12.0ms	239×	body	80	valid
1.0ms	7×	body	640	valid
1.0ms	3×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	2560	valid

simplify328.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (49.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
3×	`associate-+r+`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

13.0ms	(+ z (* 2 (+ x y)))
26.0ms	(+ x (+ z (* 2 (+ x y))))

series76.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ z (* 2 (+ x y)))
50.0ms	(+ x (+ z (* 2 (+ x y))))

simplify2.2s

Counts

33 → 33

Iterations

Useful iterations: 2 (146.0ms)

Iter	Nodes	Cost
0	58	414
1	174	380
2	602	356
3	3183	356
done	5001	356

prune103.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

84.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify1.8s

Counts

18 → 18

Iterations

Useful iterations: 3 (589.0ms)

Iter	Nodes	Cost
0	43	291
1	120	275
2	453	217
3	2672	215
done	5001	215

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ z (* 2 (+ x y)))
0.0b	(+ z (* 2 (+ x y)))
0.0b	(+ x (* (sqrt (+ z (* 2 (+ x y)))) (sqrt (+ z (* 2 (+ x y))))))
0.3b	(* (sqrt (+ z (* 2 (+ x y)))) (sqrt (+ z (* 2 (+ x y)))))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`pow1`
18×	`sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
10×	`add-log-exp`
9×	`flip3-+` `flip-+`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `associate-+r+` `unswap-sqr`
3×	`+-commutative` `pow-prod-down` `sum-log` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 94

Calls

4 calls:

13.0ms	(+ z (* 2 (+ x y)))
13.0ms	(+ z (* 2 (+ x y)))
11.0ms	(+ x (* (sqrt (+ z (* 2 (+ x y)))) (sqrt (+ z (* 2 (+ x y))))))
71.0ms	(* (sqrt (+ z (* 2 (+ x y)))) (sqrt (+ z (* 2 (+ x y)))))

series218.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ z (* 2 (+ x y)))
47.0ms	(+ z (* 2 (+ x y)))
51.0ms	(+ x (* (sqrt (+ z (* 2 (+ x y)))) (sqrt (+ z (* 2 (+ x y))))))
76.0ms	(* (sqrt (+ z (* 2 (+ x y)))) (sqrt (+ z (* 2 (+ x y)))))

simplify4.0s

Counts

106 → 106

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	131	2158
1	298	1350
2	962	1264
3	4570	1219
done	5001	1187

prune296.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ z (* 2 (+ x y))))
0.0b	(sqrt (+ x (+ z (* 2 (+ x y)))))
0.0b	(sqrt (+ x (+ z (* 2 (+ x y)))))
0.3b	(* (sqrt (+ x (+ z (* 2 (+ x y))))) (sqrt (+ x (+ z (* 2 (+ x y))))))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out` `add-log-exp`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+r+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 108

Calls

4 calls:

32.0ms	(+ x (+ z (* 2 (+ x y))))
40.0ms	(sqrt (+ x (+ z (* 2 (+ x y)))))
25.0ms	(sqrt (+ x (+ z (* 2 (+ x y)))))
131.0ms	(* (sqrt (+ x (+ z (* 2 (+ x y))))) (sqrt (+ x (+ z (* 2 (+ x y))))))

series328.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ x (+ z (* 2 (+ x y))))
98.0ms	(sqrt (+ x (+ z (* 2 (+ x y)))))
116.0ms	(sqrt (+ x (+ z (* 2 (+ x y)))))
81.0ms	(* (sqrt (+ x (+ z (* 2 (+ x y))))) (sqrt (+ x (+ z (* 2 (+ x y))))))

simplify2.9s

Counts

120 → 120

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	130	2683
1	286	1895
2	889	1759
3	3726	1695
done	5001	1661

prune398.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes99.0ms

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	9	11
1	14	11
done	14	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

823.0ms	7407×	body	80	valid
77.0ms	180×	body	1280	valid
27.0ms	189×	body	640	valid
14.0ms	136×	body	320	valid
6.0ms	25×	body	2560	valid
5.0ms	68×	body	160	valid