Details

sample44.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	23
3	23
2	20
1	13
0	9

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.6b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* z z) (+ (* x x) (* y y)))
0.0b	(+ (* x x) (* y y))
35.9b	(sqrt (+ (* z z) (+ (* x x) (* y y))))

rewrite83.0ms

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-+r+` `sqrt-pow1` `pow1/2`

Counts

3 → 39

Calls

3 calls:

29.0ms	(+ (* z z) (+ (* x x) (* y y)))
14.0ms	(+ (* x x) (* y y))
38.0ms	(sqrt (+ (* z z) (+ (* x x) (* y y))))

series252.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* z z) (+ (* x x) (* y y)))
41.0ms	(+ (* x x) (* y y))
150.0ms	(sqrt (+ (* z z) (+ (* x x) (* y y))))

simplify700.0ms

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
2	1464
1	241
0	74

prune273.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 18.0b

localize30.0ms

Local error

Found 4 expressions with local error:

29.7b	(cbrt (+ (* x x) (* y y)))
29.7b	(cbrt (+ (* x x) (* y y)))
29.7b	(cbrt (+ (* x x) (* y y)))
35.9b	(sqrt (+ (* z z) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))))

rewrite29.0ms

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:

6.0ms	(cbrt (+ (* x x) (* y y)))
8.0ms	(cbrt (+ (* x x) (* y y)))
7.0ms	(cbrt (+ (* x x) (* y y)))
6.0ms	(sqrt (+ (* z z) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))))

series931.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (+ (* x x) (* y y)))
175.0ms	(cbrt (+ (* x x) (* y y)))
117.0ms	(cbrt (+ (* x x) (* y y)))
509.0ms	(sqrt (+ (* z z) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))))

simplify2.2s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
3	3661
2	720
1	210
0	83

prune508.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 18.0b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune10.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 18.0b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune1.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 18.0b

regimes763.0ms

Accuracy

62.3% (7.2b remaining)

Error of 25.8b against oracle of 18.5b and baseline of 37.7b

bsearch168.0ms

Steps

Iters	Range		Point
7	9.160742564788728e+138	1.5580350000448912e+141	5.835216049861505e+140
8	-1.6948220288716283e-140	-1.4808554686786162e-144	-1.667229468183297e-140
6	-9.45512878961362e-128	-1.0426208093273308e-128	-1.0571252577216274e-128
8	-3.199992896271572e+101	-5.234393438211208e+98	-2.0158187983075897e+101

simplify5.0ms

Iterations

Iter	Nodes
done	24
1	24
0	22

end0.0ms

sample997.0ms

Algorithm

intervals

Results

617.0ms

8000×

body

valid