Details

sample46.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
11.0ms	258×	body	80	nan

simplify40.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	14
1	21	12
2	33	12
3	42	12
4	43	12
done	43	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.8b

localize19.0ms

Local error

Found 3 expressions with local error:

1.6b	(+ (* x y) (* x z))
2.2b	(+ (+ (* x y) (* x z)) (* y z))
21.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
5×	`add-sqr-sqrt`
4×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
3×	`add-exp-log` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sqrt-div`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

3 → 40

Calls

3 calls:

8.0ms	(+ (* x y) (* x z))
45.0ms	(+ (+ (* x y) (* x z)) (* y z))
36.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (* x y) (* x z))
28.0ms	(+ (+ (* x y) (* x z)) (* y z))
143.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify2.8s

Counts

49 → 49

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	86	787
1	250	604
2	870	570
3	3394	560
done	5002	560

prune180.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 22.7b

localize30.0ms

Local error

Found 4 expressions with local error:

2.2b	(+ (* x (+ y z)) (* y z))
2.2b	(+ (* x (+ y z)) (* y z))
21.5b	(sqrt (+ (* x (+ y z)) (* y z)))
21.5b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `associate-+l+` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 56

Calls

4 calls:

17.0ms	(+ (* x (+ y z)) (* y z))
15.0ms	(+ (* x (+ y z)) (* y z))
28.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
27.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* x (+ y z)) (* y z))
30.0ms	(+ (* x (+ y z)) (* y z))
153.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
148.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify1.9s

Counts

68 → 68

Iterations

Useful iterations: 3 (724.0ms)

Iter	Nodes	Cost
0	68	1058
1	186	958
2	586	894
3	2446	878
done	5002	878

prune294.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 22.7b

localize30.0ms

Local error

Found 4 expressions with local error:

2.2b	(+ (* x (+ y z)) (* y z))
2.2b	(+ (* x (+ y z)) (* y z))
22.2b	(cbrt (+ (* x (+ y z)) (* y z)))
22.2b	(cbrt (+ (* x (+ y z)) (* y z)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-log-exp`
6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `associate-+l+` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow1/3` `sum-log`

Counts

4 → 52

Calls

4 calls:

22.0ms	(+ (* x (+ y z)) (* y z))
18.0ms	(+ (* x (+ y z)) (* y z))
14.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
13.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

series602.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* x (+ y z)) (* y z))
33.0ms	(+ (* x (+ y z)) (* y z))
292.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
246.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

simplify1.5s

Counts

64 → 64

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	72	1022
1	196	978
2	576	900
3	2326	882
done	5000	866

prune281.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 22.7b

localize45.0ms

Local error

Found 4 expressions with local error:

22.2b	(cbrt (+ (* x (+ y z)) (* y z)))
22.2b	(cbrt (+ (* x (+ y z)) (* y z)))
22.2b	(cbrt (+ (* x (+ y z)) (* y z)))
22.2b	(cbrt (+ (* x (+ y z)) (* y z)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

16.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
9.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
14.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
9.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
241.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
307.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
371.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

simplify1.9s

Counts

64 → 64

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	57	1132
1	157	1104
2	469	1020
3	1648	992
done	5000	960

prune290.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 22.7b

regimes245.0ms

Accuracy

0% (0.1b remaining)

Error of 20.1b against oracle of 20.0b and baseline of 20.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	17	14
done	17	14

end0.0ms

sample2.4s

Algorithm

intervals

Results

974.0ms	8000×	body	80	valid
643.0ms	8026×	body	80	nan