Details

sample71.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
16.0ms	252×	body	80	nan

simplify35.0ms

Counts

1 → 1

Iterations

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

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize29.0ms

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)))

rewrite90.0ms

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:

9.0ms	(+ (* x y) (* x z))
39.0ms	(+ (+ (* x y) (* x z)) (* y z))
40.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series217.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (* x y) (* x z))
34.0ms	(+ (+ (* x y) (* x z)) (* y z))
134.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify952.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	986
1	249
0	85

prune267.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.1b

localize48.0ms

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)))

rewrite142.0ms

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:

36.0ms	(+ (+ (* x y) (* x z)) (* y z))
35.0ms	(+ (+ (* x y) (* x z)) (* y z))
34.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
36.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (+ (* x y) (* x z)) (* y z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
113.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
126.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.3s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
2	932
1	189
0	69

prune463.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 18.1b

localize56.0ms

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)))

rewrite82.0ms

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:

41.0ms	(sqrt (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
13.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
13.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
13.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

221.0ms	(sqrt (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
280.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
306.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
291.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.1s

Counts

78 → 78

Iterations

Iter	Nodes
done	5002
3	1908
2	535
1	215
0	104

prune649.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 18.1b

localize98.0ms

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)))

rewrite410.0ms

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:

24.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
347.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
23.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
15.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series837.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
118.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
288.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
307.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.7s

Counts

68 → 68

Iterations

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

prune547.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 18.1b

regimes645.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	11

end0.0ms

sample2.2s

Algorithm

intervals

Results

699.0ms	8000×	body	80	valid
692.0ms	7874×	body	80	nan