Details

sample79.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
21.0ms	255×	body	80	nan

simplify58.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	42
4	42
3	41
2	32
1	21
0	11

prune58.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.6b

localize84.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
21.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite157.0ms

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:

16.0ms	(+ (* x y) (* x z))
71.0ms	(+ (+ (* x y) (* x z)) (* y z))
68.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series375.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(+ (* x y) (* x z))
52.0ms	(+ (+ (* x y) (* x z)) (* y z))
204.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify6.3s

Counts

49 → 49

Iterations

Iter	Nodes
done	5001
3	4398
2	864
1	253
0	86

prune436.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 22.6b

localize60.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (+ (* x y) (* x z)) (* y z))
1.4b	(+ (+ (* x y) (* x z)) (* y z))
21.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
21.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

53.0ms	(+ (+ (* x y) (* x z)) (* y z))
51.0ms	(+ (+ (* x y) (* x z)) (* y z))
51.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
65.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series507.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (+ (* x y) (* x z)) (* y z))
41.0ms	(+ (+ (* x y) (* x z)) (* y z))
205.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
223.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify5.5s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
3	3296
2	633
1	190
0	69

prune751.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 22.5b

localize86.0ms

Local error

Found 4 expressions with local error:

21.4b	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
22.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
22.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
22.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite467.0ms

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` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 89

Calls

4 calls:

359.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
34.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
32.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
31.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series1.6s

Counts

4 → 12

Calls

4 calls:

208.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
449.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
494.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
485.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify6.9s

Counts

101 → 101

Iterations

Iter	Nodes
done	5038
3	2461
2	759
1	361
0	187

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 22.5b

localize144.0ms

Local error

Found 4 expressions with local error:

21.4b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
21.4b	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (* (cbrt (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (sqrt (+ (+ (* x y) (* x z)) (* y z)))))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
22.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
22.0b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

220×	`cbrt-div`
190×	`sqrt-div`
136×	`frac-times`
111×	`flip3-+` `flip-+`
50×	`associate-*l/`
44×	`associate-*r/`
15×	`pow1`
9×	`pow-prod-down`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `sqrt-pow1` `pow1/3`
4×	`add-exp-log` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
2×	`pow1/2`
1×	`rem-sqrt-square`

Counts

4 → 135

Calls

4 calls:

81.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
1.4s	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (* (cbrt (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (sqrt (+ (+ (* x y) (* x z)) (* y z)))))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
33.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
34.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series2.5s

Counts

4 → 12

Calls

4 calls:

260.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
221.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (* (cbrt (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (sqrt (+ (+ (* x y) (* x z)) (* y z)))))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
560.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
1.5s	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify13.4s

Counts

147 → 147

Iterations

Iter	Nodes
done	5002
3	3701
2	1593
1	785
0	414

prune2.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 22.5b

regimes1.2s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	17
1	17
0	11

end0.0ms

sample7.3s

Algorithm

intervals

Results

3.4s	8000×	body	80	valid
2.9s	7850×	body	80	nan