Details

sample54.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
15.0ms	252×	body	80	nan

simplify57.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	11	284
1	21	244
2	33	244
3	42	244
4	43	244
done	43	244

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.4b	(+ (* x y) (* x z))
0.6b	(+ (+ (* x y) (* x z)) (* y z))
17.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 40

Calls

3 calls:

6.0ms	(+ (* x y) (* x z))
26.0ms	(+ (+ (* x y) (* x z)) (* y z))
23.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series185.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (* x y) (* x z))
23.0ms	(+ (+ (* x y) (* x z)) (* y z))
120.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.1s

Counts

49 → 49

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	85	14534
1	249	11350
2	986	11230
done	5000	11150

prune308.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (+ (* x y) (* x z)) (* y z))
0.6b	(+ (+ (* x y) (* x z)) (* y z))
17.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite441.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

28.0ms	(+ (+ (* x y) (* x z)) (* y z))
342.0ms	(+ (+ (* x y) (* x z)) (* y z))
37.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
32.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series338.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (+ (* x y) (* x z)) (* y z))
36.0ms	(+ (+ (* x y) (* x z)) (* y z))
137.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
130.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.3s

Counts

68 → 68

Iterations

Useful iterations: 2 (213.0ms)

Iter	Nodes	Cost
0	69	22692
1	189	17706
2	932	17466
done	5000	17466

prune433.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 18.1b

localize51.0ms

Local error

Found 4 expressions with local error:

4.4b	(sqrt (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
17.7b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.7b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.7b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
12×	`pow1`
9×	`cbrt-prod` `sqrt-pow1` `flip3-+` `pow1/3` `flip-+`
8×	`sqrt-div`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`frac-times` `add-cbrt-cube` `add-exp-log` `add-log-exp`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `rem-sqrt-square` `pow-plus` `pow1/2` `sqrt-prod`

Counts

4 → 66

Calls

4 calls:

55.0ms	(sqrt (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
21.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
14.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

263.0ms	(sqrt (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
298.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
283.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
255.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.4s

Counts

78 → 78

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	104	36491
1	215	29751
2	535	29591
3	1908	29111
done	5002	28107

prune602.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 18.1b

localize63.0ms

Local error

Found 4 expressions with local error:

17.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.2b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.7b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
17.7b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

46.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
44.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
29.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
14.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series816.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
124.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
283.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
295.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.8s

Counts

68 → 68

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	88	27110
1	215	22462
2	640	22142
3	3151	21662
done	5001	21160

prune561.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 18.1b

regimes588.0ms

Accuracy

0% (0.1b remaining)

Error of 20.0b against oracle of 19.9b and baseline of 20.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	284
1	17	284
done	17	284

end0.0ms

sample2.1s

Algorithm

intervals

Results

983.0ms	7874×	body	80	nan
661.0ms	8000×	body	80	valid