Details

sample52.0ms

Algorithm

intervals

Results

11.0ms	277×	body	80	nan
10.0ms	256×	body	80	valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (+ x y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity` `sqrt-prod`
3×	`add-sqr-sqrt`
2×	`pow1` `sqrt-div` `add-cube-cbrt`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

15.0ms

(sqrt (+ x y))

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(sqrt (+ x y))

simplify7.4s

Counts

20 → 20

Iterations

Iter	Nodes
done	5014
5	4728
4	1858
3	711
2	272
1	116
0	54

prune202.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x y))
0.1b	(sqrt (sqrt (+ x y)))
0.1b	(sqrt (sqrt (+ x y)))
0.5b	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

110×	`sqrt-prod`
56×	`add-sqr-sqrt`
41×	`*-un-lft-identity` `sqrt-pow1`
34×	`sqrt-div`
32×	`pow1`
21×	`pow1/2` `add-cube-cbrt`
18×	`swap-sqr`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow-prod-up` `flip-+` `distribute-lft-out` `unswap-sqr`
6×	`add-cbrt-cube` `add-exp-log`
5×	`rem-sqrt-square` `pow-prod-down` `pow-sqr`
4×	`frac-times` `insert-posit16` `add-log-exp`
2×	`associate-l/` `associate-r/`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

15.0ms	(sqrt (+ x y))
17.0ms	(sqrt (sqrt (+ x y)))
17.0ms	(sqrt (sqrt (+ x y)))
137.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series772.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(sqrt (+ x y))
341.0ms	(sqrt (sqrt (+ x y)))
303.0ms	(sqrt (sqrt (+ x y)))
54.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify4.1s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
3	2235
2	805
1	359
0	165

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize200.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
0.5b	(* (sqrt (sqrt (+ x y))) (sqrt (* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt` `sqrt-div`
24×	`sqrt-prod`
22×	`*-un-lft-identity`
14×	`associate-r` `add-cube-cbrt`
13×	`cbrt-prod` `pow1` `associate-l`
12×	`cbrt-div`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow-prod-down` `unswap-sqr`
4×	`frac-times` `sqrt-pow1` `insert-posit16` `distribute-lft-out` `add-log-exp`
2×	`pow1/2` `pow1/3` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`sqrt-unprod`

Counts

4 → 101

Calls

4 calls:

103.0ms	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
161.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))))
8.0ms	(cbrt (+ x y))
14.0ms	(cbrt (+ x y))

series2.3s

Counts

4 → 12

Calls

4 calls:

418.0ms	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
1.3s	(* (sqrt (sqrt (+ x y))) (sqrt (* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))))
310.0ms	(cbrt (+ x y))
266.0ms	(cbrt (+ x y))

simplify4.6s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
2	1612
1	541
0	234

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes612.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	5
1	5
0	4

end0.0ms

sample1.5s

Algorithm

intervals

Results

437.0ms	8000×	body	80	valid
390.0ms	7998×	body	80	nan