Details

sample95.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
20.0ms	261×	body	80	nan

simplify40.0ms

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.4b

localize16.0ms

Local error

Found 3 expressions with local error:

1.0b	(+ (* x y) (* x z))
2.0b	(+ (+ (* x y) (* x z)) (* y z))
15.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite89.0ms

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:

12.0ms	(+ (* x y) (* x z))
39.0ms	(+ (+ (* x y) (* x z)) (* y z))
37.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series181.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (* x y) (* x z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
114.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify993.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	986
1	249
0	85

prune334.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 16.3b

localize52.0ms

Local error

Found 4 expressions with local error:

2.0b	(+ (+ (* x y) (* x z)) (* y z))
2.0b	(+ (+ (* x y) (* x z)) (* y z))
15.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
15.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite181.0ms

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:

38.0ms	(+ (+ (* x y) (* x z)) (* y z))
45.0ms	(+ (+ (* x y) (* x z)) (* y z))
47.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
49.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (+ (* x y) (* x z)) (* y z))
36.0ms	(+ (+ (* x y) (* x z)) (* y z))
133.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
152.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.3s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
2	932
1	189
0	69

prune580.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 16.3b

localize93.0ms

Local error

Found 4 expressions with local error:

15.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.1b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
16.1b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
16.1b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite103.0ms

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:

37.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
20.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
24.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series908.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
293.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
239.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
254.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.6s

Counts

66 → 66

Iterations

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

prune770.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 16.3b

localize94.0ms

Local error

Found 4 expressions with local error:

15.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
15.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
15.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
15.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

24.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
25.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
33.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
24.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series575.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
160.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
124.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
123.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify1.7s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	3001
2	532
1	144
0	55

prune542.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 16.3b

regimes551.0ms

Accuracy

0% (0.1b remaining)

Error of 19.6b against oracle of 19.5b and baseline of 19.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	11

end0.0ms

sample2.2s

Algorithm

intervals

Results

867.0ms	8000×	body	80	valid
616.0ms	8233×	body	80	nan