Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	234×	body	80	valid
1.0ms	9×	body	640	valid
1.0ms	7×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	160	valid

simplify281.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (42.0ms)

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: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

32.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify1.3s

Counts

17 → 17

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	38	232
1	111	221
2	385	203
3	1904	203
done	5000	203

prune62.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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:

17.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify1.4s

Counts

16 → 16

Iterations

Useful iterations: 2 (79.0ms)

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

prune73.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (+ z (* 2 (+ x y)))))
0.5b	(cbrt (+ x (+ z (* 2 (+ x y)))))
0.5b	(cbrt (+ x (+ z (* 2 (+ x y)))))
0.5b	(* (cbrt (+ x (+ z (* 2 (+ x y))))) (cbrt (+ x (+ z (* 2 (+ x y))))))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
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 → 95

Calls

4 calls:

21.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
21.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
18.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
162.0ms	(* (cbrt (+ x (+ z (* 2 (+ x y))))) (cbrt (+ x (+ z (* 2 (+ x y))))))

series1.6s

Counts

4 → 12

Calls

4 calls:

433.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
365.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
373.0ms	(cbrt (+ x (+ z (* 2 (+ x y)))))
435.0ms	(* (cbrt (+ x (+ z (* 2 (+ x y))))) (cbrt (+ x (+ z (* 2 (+ x y))))))

simplify2.2s

Counts

107 → 107

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	136	2604
1	296	2409
2	780	2254
3	2407	2008
done	5000	1943

prune439.0ms

Pruning

7 alts after pruning (5 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)))))
0.2b	(* (sqrt (+ x (+ z (* 2 (+ x y))))) (sqrt (+ x (+ z (* 2 (+ x y))))))

rewrite193.0ms

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:

22.0ms	(+ x (+ z (* 2 (+ x y))))
29.0ms	(sqrt (+ x (+ z (* 2 (+ x y)))))
20.0ms	(sqrt (+ x (+ z (* 2 (+ x y)))))
119.0ms	(* (sqrt (+ x (+ z (* 2 (+ x y))))) (sqrt (+ x (+ z (* 2 (+ x y))))))

series392.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ x (+ z (* 2 (+ x y))))
125.0ms	(sqrt (+ x (+ z (* 2 (+ x y)))))
137.0ms	(sqrt (+ x (+ z (* 2 (+ x y)))))
84.0ms	(* (sqrt (+ x (+ z (* 2 (+ x y))))) (sqrt (+ x (+ z (* 2 (+ x y))))))

simplify3.0s

Counts

120 → 120

Iterations

Useful iterations: done (3.0s)

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

prune286.0ms

Pruning

7 alts after pruning (4 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

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample959.0ms

Algorithm

intervals

Results

460.0ms	7402×	body	80	valid
62.0ms	180×	body	1280	valid
31.0ms	195×	body	640	valid
15.0ms	122×	body	320	valid
8.0ms	35×	body	2560	valid
7.0ms	78×	body	160	valid