Details

sample24.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
4.0ms	307×	body	80	nan

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2
done	5	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (+ x y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 16

Calls

1 calls:

7.0ms

(sqrt (+ x y))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(sqrt (+ x y))

simplify66.0ms

Counts

19 → 19

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	113	89
1	275	81
2	836	78
3	2361	73
4	5002	73
done	5002	73

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (+ x y)))
0.3b	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`cbrt-prod`
16×	`sqrt-prod`
12×	`add-cube-cbrt`
10×	`associate-r`
8×	`cbrt-div`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`flip3-+` `sqrt-div` `flip-+` `distribute-lft-out` `add-log-exp`
3×	`pow1/3` `associate-l` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `associate-*r/`
1×	`pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 78

Calls

4 calls:

8.0ms	(sqrt (cbrt (+ x y)))
26.0ms	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))

series584.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(sqrt (cbrt (+ x y)))
188.0ms	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
125.0ms	(cbrt (+ x y))
126.0ms	(cbrt (+ x y))

simplify111.0ms

Counts

90 → 90

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	314	621
1	1040	589
2	4231	582
3	5001	568
done	5001	568

prune224.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (cbrt (+ x y)))
0.6b	(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
20×	`cbrt-prod`
14×	`*-un-lft-identity`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-r/` `associate-l/`

Counts

4 → 62

Calls

4 calls:

4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (cbrt (+ x y)))
13.0ms	(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))

series721.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (+ x y))
139.0ms	(cbrt (+ x y))
201.0ms	(cbrt (cbrt (+ x y)))
245.0ms	(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))

simplify81.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	288	538
1	758	508
2	2794	500
3	5001	500
done	5001	500

prune294.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2
done	5	2

end0.0ms

sample538.0ms

Algorithm

intervals

Results

112.0ms	8000×	body	80	valid
97.0ms	8018×	body	80	nan