Details

sample29.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
5.0ms	239×	body	80	nan

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	5	4
done	5	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (+ x y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `sqrt-div`
1×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `hypot-def` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 19

Calls

1 calls:

11.0ms

(sqrt (+ x y))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(sqrt (+ x y))

simplify2.1s

Counts

22 → 22

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	55	184
1	124	160
2	390	155
3	1761	145
done	5000	142

prune60.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (+ x y)))
0.4b	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite57.0ms

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×	`expm1-log1p-u` `flip3-+` `sqrt-div` `flip-+` `log1p-expm1-u` `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 → 86

Calls

4 calls:

8.0ms	(sqrt (cbrt (+ x y)))
37.0ms	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
4.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))

series797.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(sqrt (cbrt (+ x y)))
238.0ms	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
176.0ms	(cbrt (+ x y))
156.0ms	(cbrt (+ x y))

simplify780.0ms

Counts

98 → 98

Iterations

Useful iterations: done (776.0ms)

Iter	Nodes	Cost
0	150	1131
1	339	1041
2	1261	974
done	5001	965

prune349.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(hypot (sqrt x) (sqrt y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `hypot-udef` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(hypot (sqrt x) (sqrt y))

series276.0ms

Counts

1 → 3

Calls

1 calls:

276.0ms

(hypot (sqrt x) (sqrt y))

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	49	138
1	121	125
2	438	107
3	2388	104
done	5001	102

prune48.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes78.0ms

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	4	4
1	5	4
done	5	4

end0.0ms

sample928.0ms

Algorithm

intervals

Results

221.0ms	8000×	body	80	valid
191.0ms	8033×	body	80	nan