Details

sample26.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	20	12
3	22	12
done	22	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.4b

localize9.0ms

Local error

Found 1 expressions with local error:

33.9b

(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

31.0ms

(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series130.0ms

Counts

1 → 3

Calls

1 calls:

130.0ms

(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify2.9s

Counts

18 → 18

Iterations

Useful iterations: 3 (182.0ms)

Iter	Nodes	Cost
0	41	305
1	92	270
2	281	256
3	1046	246
4	4658	246
done	5003	246

prune57.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
0.5b	(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
33.9b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
33.9b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

82×	`sqrt-prod`
54×	`add-sqr-sqrt`
38×	`sqrt-pow1`
32×	`sqrt-div`
31×	`pow1`
20×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
15×	`swap-sqr`
9×	`flip3-+` `associate-r` `associate-l` `pow-prod-up` `flip-+` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 134

Calls

4 calls:

34.0ms	(sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
250.0ms	(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
35.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
30.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series545.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
134.0ms	(* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
126.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
137.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify1.7s

Counts

146 → 146

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	130	4100
1	290	2689
2	1472	2489
done	5000	2442

prune494.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 18.4b

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

prune5.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 18.4b

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

6 alts after pruning (2 fresh and 4 done)

Merged error: 18.4b

regimes424.0ms

Accuracy

62.6% (7.2b remaining)

Error of 25.0b against oracle of 17.8b and baseline of 37.2b

bsearch69.0ms

Steps

Iters	Range		Point
10	1.0940963542127011e+133	4.0619925534537395e+145	6.199742548939528e+137
8	-1.1654563515876894e+70	-1.9515541241553725e+66	-1.1485653449500287e+70

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.1s

Algorithm

intervals

Results

792.0ms

8000×

body

valid