Details

sample30.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
2.0ms	68×	body	80	nan

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	5

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize7.0ms

Local error

Found 1 expressions with local error:

23.2b

(sqrt (fma x x y))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

1.0ms

(sqrt (fma x x y))

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(sqrt (fma x x y))

simplify991.0ms

Counts

18 → 18

Iterations

Iter	Nodes
done	5000
3	901
2	208
1	76
0	37

prune136.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (fma x x y)))
0.5b	(* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))
23.2b	(sqrt (fma x x y))
23.2b	(sqrt (fma x x y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

4.0ms	(sqrt (sqrt (fma x x y)))
30.0ms	(* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))
1.0ms	(sqrt (fma x x y))
1.0ms	(sqrt (fma x x y))

series405.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(sqrt (sqrt (fma x x y)))
94.0ms	(* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))
90.0ms	(sqrt (fma x x y))
94.0ms	(sqrt (fma x x y))

simplify1.3s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
2	1000
1	246
0	114

prune584.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune6.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.9b	(/ -1/2 (/ x y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/r*`
6×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `associate-/r/` `log1p-expm1-u` `add-log-exp`

Counts

1 → 72

Calls

1 calls:

12.0ms

(/ -1/2 (/ x y))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(/ -1/2 (/ x y))

simplify1.1s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
2	1571
1	380
0	152

prune361.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes135.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 21.5b

bsearch77.0ms

Steps

Iters	Range		Point
7	3.6808033284981034e+145	9.595693332345167e+146	8.914808959129563e+145
8	-4.755519083684039e+154	-2.121197795503813e+151	-1.3527325623815516e+154

simplify2.0ms

Iterations

Iter	Nodes
done	17
0	17

end0.0ms

sample671.0ms

Algorithm

intervals

Results

317.0ms	8000×	body	80	valid
106.0ms	2610×	body	80	nan