Details

sample28.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	162
1	7	162
done	7	162

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
27.5b	(sqrt (+ (* x x) (* y y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

12.0ms	(+ (* x x) (* y y))
13.0ms	(sqrt (+ (* x x) (* y y)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* x x) (* y y))
73.0ms	(sqrt (+ (* x x) (* y y)))

simplify754.0ms

Counts

32 → 32

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	48	8314
1	142	6457
2	770	6457
done	5000	6457

prune209.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 8.5b

localize53.0ms

Local error

Found 4 expressions with local error:

27.5b	(sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))
28.6b	(cbrt (+ (* x x) (* y y)))
28.6b	(cbrt (+ (* x x) (* y y)))
28.6b	(cbrt (+ (* x x) (* y y)))

rewrite96.0ms

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

Counts

4 → 89

Calls

4 calls:

68.0ms	(sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))
8.0ms	(cbrt (+ (* x x) (* y y)))
8.0ms	(cbrt (+ (* x x) (* y y)))
8.0ms	(cbrt (+ (* x x) (* y y)))

series480.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))
138.0ms	(cbrt (+ (* x x) (* y y)))
136.0ms	(cbrt (+ (* x x) (* y y)))
147.0ms	(cbrt (+ (* x x) (* y y)))

simplify2.3s

Counts

101 → 101

Iterations

Useful iterations: 3 (970.0ms)

Iter	Nodes	Cost
0	164	56856
1	305	46475
2	701	45809
3	2997	43569
done	5004	43569

prune517.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 8.5b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune6.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 8.5b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 8.5b

regimes448.0ms

Accuracy

59.5% (9.6b remaining)

Error of 17.2b against oracle of 7.6b and baseline of 31.3b

bsearch66.0ms

Steps

Iters	Range		Point
9	1.8841348729660574e+121	3.270754152227266e+128	5.948234035126459e+127
9	-2.741116183037804e+158	-6.518035068066237e+150	-1.1817931832138217e+151

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	464
1	14	464
done	14	464

end0.0ms

sample510.0ms

Algorithm

intervals

Results

347.0ms

8000×

body

valid