Details

sample66.0ms

Algorithm

intervals

Results

24.0ms	244×	body	80	nan
16.0ms	256×	body	80	valid

simplify26.0ms

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.6b

localize25.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (* x y) (* x z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite70.0ms

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

series208.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* x y) (* x z))
33.0ms	(+ (+ (* x y) (* x z)) (* y z))
135.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify863.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	986
1	249
0	85

prune270.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 20.5b

localize65.0ms

Local error

Found 4 expressions with local error:

19.4b	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
20.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 89

Calls

4 calls:

170.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
16.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
21.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
25.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series861.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
249.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
255.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
214.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.7s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
3	3283
2	802
1	370
0	187

prune498.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 20.5b

localize84.0ms

Local error

Found 4 expressions with local error:

19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
20.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite115.0ms

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:

36.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
38.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
19.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
19.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series768.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
146.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
247.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
236.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.6s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
3	3151
2	640
1	215
0	88

prune611.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 20.5b

localize97.0ms

Local error

Found 4 expressions with local error:

19.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
20.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

46.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
26.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
26.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
34.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

149.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
308.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
297.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
304.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify2.0s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
3	3151
2	640
1	215
0	88

prune577.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 20.5b

regimes616.0ms

Accuracy

0% (0.1b remaining)

Error of 19.5b against oracle of 19.4b and baseline of 19.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	11

end0.0ms

sample2.1s

Algorithm

intervals

Results

961.0ms	8000×	body	80	valid
625.0ms	7775×	body	80	nan