Details

sample46.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
11.0ms	261×	body	80	nan

simplify19.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.4b

localize25.0ms

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)))

rewrite53.0ms

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))
22.0ms	(+ (+ (* x y) (* x z)) (* y z))
24.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (* x y) (* x z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
135.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify429.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	986
1	249
0	85

prune265.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 16.3b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

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:

17.0ms	(+ (* x (+ y z)) (* z y))
11.0ms	(+ (* x (+ y z)) (* z y))
18.0ms	(sqrt (+ (* x (+ y z)) (* z y)))
19.0ms	(sqrt (+ (* x (+ y z)) (* z y)))

series380.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* x (+ y z)) (* z y))
35.0ms	(+ (* x (+ y z)) (* z y))
147.0ms	(sqrt (+ (* x (+ y z)) (* z y)))
164.0ms	(sqrt (+ (* x (+ y z)) (* z y)))

simplify537.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
2	695
1	184
0	67

prune524.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 16.3b

localize74.0ms

Local error

Found 4 expressions with local error:

2.0b	(+ (* x (+ y z)) (* z y))
15.5b	(sqrt (+ (* x (+ y z)) (* z y)))
16.1b	(cbrt (+ (* x z) (* y (+ x z))))
16.1b	(cbrt (+ (* x z) (* y (+ x z))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

10.0ms	(+ (* x (+ y z)) (* z y))
17.0ms	(sqrt (+ (* x (+ y z)) (* z y)))
7.0ms	(cbrt (+ (* x z) (* y (+ x z))))
7.0ms	(cbrt (+ (* x z) (* y (+ x z))))

series724.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* x (+ y z)) (* z y))
136.0ms	(sqrt (+ (* x (+ y z)) (* z y)))
291.0ms	(cbrt (+ (* x z) (* y (+ x z))))
271.0ms	(cbrt (+ (* x z) (* y (+ x z))))

simplify484.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1099
1	319
0	118

prune620.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 16.3b

localize100.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

16.0ms	(sqrt (+ (* x (+ y z)) (* z y)))
18.0ms	(sqrt (+ (* y (+ z x)) (* x z)))
15.0ms	(sqrt (+ (* y (+ z x)) (* x z)))
5.0ms	(cbrt (+ (* x z) (* y (+ x z))))

series647.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(sqrt (+ (* x (+ y z)) (* z y)))
137.0ms	(sqrt (+ (* y (+ z x)) (* x z)))
137.0ms	(sqrt (+ (* y (+ z x)) (* x z)))
243.0ms	(cbrt (+ (* x z) (* y (+ x z))))

simplify565.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1317
1	376
0	143

prune731.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 16.3b

regimes624.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	11

end0.0ms

sample2.0s

Algorithm

intervals

Results

744.0ms	8000×	body	80	valid
570.0ms	8233×	body	80	nan