Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
3.0ms	90×	body	80	nan

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	5	6
1	7	5
done	7	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.3b

localize20.0ms

Local error

Found 1 expressions with local error:

21.8b

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `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` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

11.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify5.5s

Counts

21 → 21

Iterations

Useful iterations: 5 (1.2s)

Iter	Nodes	Cost
0	53	209
1	125	169
2	288	152
3	586	150
4	1145	149
5	2076	148
6	4798	148
done	5000	148

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (fma x x y)))
0.5b	(* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))
21.8b	(sqrt (fma x x y))
21.8b	(sqrt (fma x x y))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

82×	`sqrt-prod`
54×	`add-sqr-sqrt`
38×	`sqrt-pow1`
31×	`pow1`
20×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
15×	`swap-sqr`
9×	`associate-r` `associate-l` `pow-prod-up` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 128

Calls

4 calls:

5.0ms	(sqrt (sqrt (fma x x y)))
44.0ms	(* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))
9.0ms	(sqrt (fma x x y))
3.0ms	(sqrt (fma x x y))

series394.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(sqrt (sqrt (fma x x y)))
82.0ms	(* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))
89.0ms	(sqrt (fma x x y))
92.0ms	(sqrt (fma x x y))

simplify4.1s

Counts

140 → 140

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	114	1885
1	210	1111
2	486	1039
3	1161	1011
4	3101	984
done	5001	972

prune357.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

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

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize5.0ms

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

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes242.0ms

Accuracy

99.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 21.1b

bsearch59.0ms

Steps

Iters	Range		Point
6	1.3691772692280127e+122	1.865416815092154e+123	1.4388934535207275e+123
10	-4.750953680063193e+156	-7.066707918776839e+146	-1.3349869326014939e+154

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	27
1	16	27
done	16	27

end0.0ms

sample662.0ms

Algorithm

intervals

Results

348.0ms	8000×	body	80	valid
83.0ms	2684×	body	80	nan