Details

sample65.0ms

Algorithm

intervals

Results

17.0ms	279×	body	80	nan
16.0ms	256×	body	80	valid

simplify73.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize23.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ (* x y) (* x z))
1.2b	(+ (+ (* x y) (* x z)) (* y z))
16.6b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite131.0ms

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:

18.0ms	(+ (* x y) (* x z))
58.0ms	(+ (+ (* x y) (* x z)) (* y z))
52.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series260.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (* x y) (* x z))
33.0ms	(+ (+ (* x y) (* x z)) (* y z))
178.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify2.7s

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

prune191.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 17.5b

localize21.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (* x (+ y z)) (* y z))
1.2b	(+ (* x (+ y z)) (* y z))
16.6b	(sqrt (+ (* x (+ y z)) (* y z)))
16.6b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite74.0ms

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:

15.0ms	(+ (* x (+ y z)) (* y z))
12.0ms	(+ (* x (+ y z)) (* y z))
17.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
28.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* x (+ y z)) (* y z))
42.0ms	(+ (* x (+ y z)) (* y z))
131.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
152.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify1.7s

Counts

68 → 68

Iterations

Useful iterations: 3 (690.0ms)

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

prune302.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 17.5b

localize35.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (* x (+ y z)) (* y z))
16.6b	(sqrt (+ (* x (+ y z)) (* y z)))
17.2b	(cbrt (+ (* x (+ y z)) (* y z)))
17.2b	(cbrt (+ (* x (+ y z)) (* y z)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

13.0ms	(+ (* x (+ y z)) (* y z))
15.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
16.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
11.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

series784.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* x (+ y z)) (* y z))
149.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
297.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
309.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

simplify2.1s

Counts

66 → 66

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	101	1095
1	258	1031
2	731	957
3	2786	935
done	5000	919

prune555.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 17.4b

localize65.0ms

Local error

Found 4 expressions with local error:

16.6b	(sqrt (+ (* x (+ y z)) (* y z)))
16.6b	(sqrt (+ (* x (+ y z)) (* y z)))
16.6b	(sqrt (+ (* x (+ y z)) (* y z)))
17.2b	(cbrt (+ (* x (+ y z)) (* y z)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`sqrt-div`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 58

Calls

4 calls:

24.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
15.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
33.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
18.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

series713.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
134.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
141.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
280.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

simplify1.5s

Counts

70 → 70

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	87	1186
1	219	1074
2	611	1011
3	2000	986
done	5001	969

prune472.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 17.4b

regimes408.0ms

Accuracy

0% (0.1b remaining)

Error of 19.8b against oracle of 19.7b and baseline of 19.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
628.0ms	7961×	body	80	nan