Details

sample66.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
17.0ms	252×	body	80	nan

simplify24.0ms

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize18.0ms

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)))

rewrite65.0ms

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:

11.0ms	(+ (* x y) (* x z))
30.0ms	(+ (+ (* x y) (* x z)) (* y z))
23.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series248.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (* x y) (* x z))
42.0ms	(+ (+ (* x y) (* x z)) (* y z))
149.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify600.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	986
1	249
0	85

prune292.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 18.1b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

19.0ms	(+ (* x (+ y z)) (* z y))
20.0ms	(+ (* x (+ y z)) (* z y))
22.0ms	(sqrt (+ (* x (+ y z)) (* z y)))
13.0ms	(sqrt (+ (* x (+ y z)) (* z y)))

series383.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (* x (+ y z)) (* z y))
38.0ms	(+ (* x (+ y z)) (* z y))
164.0ms	(sqrt (+ (* x (+ y z)) (* z y)))
156.0ms	(sqrt (+ (* x (+ y z)) (* z y)))

simplify645.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
2	695
1	184
0	67

prune514.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 18.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (* x (+ y z)) (* z y))
0.6b	(+ (* x (+ y z)) (* z y))
17.7b	(cbrt (+ (* x (+ y z)) (* z y)))
17.7b	(cbrt (+ (* x (+ y z)) (* z y)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-log-exp`
6×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `associate-+l+` `cbrt-div` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
2×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `pow1/3`

Counts

4 → 52

Calls

4 calls:

10.0ms	(+ (* x (+ y z)) (* z y))
14.0ms	(+ (* x (+ y z)) (* z y))
12.0ms	(cbrt (+ (* x (+ y z)) (* z y)))
8.0ms	(cbrt (+ (* x (+ y z)) (* z y)))

series731.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (* x (+ y z)) (* z y))
46.0ms	(+ (* x (+ y z)) (* z y))
318.0ms	(cbrt (+ (* x (+ y z)) (* z y)))
339.0ms	(cbrt (+ (* x (+ y z)) (* z y)))

simplify2.1s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	4938
2	689
1	194
0	71

prune490.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 18.1b

localize116.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (* z (+ y x)) (* x y))
17.2b	(sqrt (+ (* z (+ y x)) (* x y)))
17.2b	(sqrt (+ (* z (+ y x)) (* x y)))
17.7b	(cbrt (+ (* x (+ y z)) (* z y)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

12.0ms	(+ (* z (+ y x)) (* x y))
23.0ms	(sqrt (+ (* z (+ y x)) (* x y)))
23.0ms	(sqrt (+ (* z (+ y x)) (* x y)))
15.0ms	(cbrt (+ (* x (+ y z)) (* z y)))

series609.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (* z (+ y x)) (* x y))
144.0ms	(sqrt (+ (* z (+ y x)) (* x y)))
165.0ms	(sqrt (+ (* z (+ y x)) (* x y)))
272.0ms	(cbrt (+ (* x (+ y z)) (* z y)))

simplify705.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	1214
1	318
0	117

prune676.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 18.1b

regimes666.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	17
1	17
0	11

end0.0ms

sample2.1s

Algorithm

intervals

Results

967.0ms	7874×	body	80	nan
663.0ms	8000×	body	80	valid