Details

sample24.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	110×	body	80	nan

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.8b

localize8.0ms

Local error

Found 1 expressions with local error:

20.3b

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

rewrite383.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

382.0ms

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

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

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

simplify1.5s

Counts

18 → 18

Iterations

Iter	Nodes
done	5000
3	2548
2	454
1	122
0	51

prune66.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 1/2 (/ y x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

12.0ms

(* 1/2 (/ y x))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(* 1/2 (/ y x))

simplify1.5s

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
3	2504
2	572
1	178
0	68

prune121.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* -1/2 (/ y x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

16.0ms

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

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify1.6s

Counts

35 → 35

Iterations

Iter	Nodes
done	5001
3	2505
2	572
1	178
0	68

prune121.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes237.0ms

Accuracy

99% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.1b

bsearch80.0ms

Steps

Iters	Range		Point
7	2.3655285022776236e+92	6.258218916731328e+93	2.427949032860909e+93
8	-2.948485268790399e+156	-1.3768668222090048e+153	-1.33798966882754e+154

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample862.0ms

Algorithm

intervals

Results

305.0ms	8000×	body	80	valid
114.0ms	2676×	body	80	nan