Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify15.0ms

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.7b

localize15.0ms

Local error

Found 1 expressions with local error:

34.9b

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

rewrite54.0ms

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:

53.0ms

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

series154.0ms

Counts

1 → 3

Calls

1 calls:

154.0ms

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

simplify2.3s

Counts

18 → 18

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	41	305
1	92	270
2	270	256
3	907	246
4	3276	246
done	5000	246

prune92.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
34.9b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
34.9b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
34.9b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite192.0ms

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:

31.0ms	(cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
51.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
57.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
50.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series551.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
159.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
144.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
120.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify3.1s

Counts

73 → 73

Iterations

Useful iterations: 3 (321.0ms)

Iter	Nodes	Cost
0	77	1358
1	163	1230
2	426	1156
3	1273	1106
4	4525	1106
done	5002	1106

prune346.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 18.3b

localize28.0ms

Local error

Found 4 expressions with local error:

4.3b	(exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
34.9b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
34.9b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
34.9b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

31.0ms	(exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
33.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
32.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
66.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series578.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(exp (log (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
137.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
139.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
146.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify3.2s

Counts

81 → 81

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	118	1561
1	210	1367
2	483	1231
3	1348	1181
4	4604	1169
done	5000	1169

prune308.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 18.3b

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 (3 fresh and 3 done)

Merged error: 18.3b

regimes578.0ms

Accuracy

59.9% (8.0b remaining)

Error of 26.2b against oracle of 18.2b and baseline of 38.1b

bsearch79.0ms

Steps

Iters	Range		Point
9	1.6558114091021875e+84	4.612323731361669e+91	4.376373199179286e+91
7	-1.8875295458160305e+40	-3.852270064556066e+38	-1.8637040731758233e+40

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.2s

Algorithm

intervals

Results

870.0ms

8000×

body

valid