Details

sample16.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
1.0ms	96×	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.1b

localize4.0ms

Local error

Found 1 expressions with local error:

19.7b

(sqrt (fma x x y))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
1×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

2.0ms

(sqrt (fma x x y))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(sqrt (fma x x y))

simplify3.4s

Counts

18 → 18

Iterations

Useful iterations: 5 (442.0ms)

Iter	Nodes	Cost
0	37	145
1	75	127
2	158	120
3	326	118
4	613	117
5	849	116
6	1193	116
7	2160	116
done	5000	116

prune47.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

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))))
19.7b	(sqrt (fma x x y))
19.7b	(sqrt (fma x x y))

rewrite33.0ms

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:

2.0ms	(sqrt (sqrt (fma x x y)))
20.0ms	(* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))
1.0ms	(sqrt (fma x x y))
2.0ms	(sqrt (fma x x y))

series237.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(sqrt (sqrt (fma x x y)))
51.0ms	(* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))
53.0ms	(sqrt (fma x x y))
51.0ms	(sqrt (fma x x y))

simplify2.5s

Counts

140 → 140

Iterations

Useful iterations: done (2.4s)

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

prune229.0ms

Pruning

4 alts after pruning (2 fresh and 2 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

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

regimes58.0ms

Accuracy

99.9% (0.0b remaining)

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

bsearch43.0ms

Steps

Iters	Range		Point
8	4.879148703085068e+137	1.5533413475323175e+141	1.4399380374163958e+138
10	-4.354416350763856e+162	-7.680972122048022e+152	-1.3347060672507818e+154

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	26
done	14	26

end0.0ms

sample411.0ms

Algorithm

intervals

Results

138.0ms	8000×	body	80	valid
48.0ms	2700×	body	80	nan