Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	19	12
done	19	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* z z))
36.4b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

11.0ms	(+ (+ (* x x) (* y y)) (* z z))
13.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series143.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (+ (* x x) (* y y)) (* z z))
105.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify908.0ms

Counts

34 → 34

Iterations

Useful iterations: 3 (215.0ms)

Iter	Nodes	Cost
0	58	576
1	144	534
2	490	490
3	2099	474
done	5001	474

prune93.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 19.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
36.4b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
36.4b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
36.4b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

8.0ms	(cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
16.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
13.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
13.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series425.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
106.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
104.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
106.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify783.0ms

Counts

73 → 73

Iterations

Useful iterations: 3 (156.0ms)

Iter	Nodes	Cost
0	77	1358
1	163	1230
2	439	1156
3	1370	1106
done	5001	1106

prune223.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 19.8b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune5.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 19.8b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 19.8b

regimes325.0ms

Accuracy

61.5% (7.6b remaining)

Error of 26.2b against oracle of 18.6b and baseline of 38.3b

bsearch60.0ms

Steps

Iters	Range		Point
8	3.196397393917939e+72	1.0649312883679304e+77	1.0479353069555717e+77
8	-1.3887243973495253e+108	-7.060621971491881e+103	-1.356128363832856e+108

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	23
1	18	23
done	18	23

end0.0ms

sample398.0ms

Algorithm

intervals

Results

236.0ms

8000×

body

valid