Details

sample28.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
3.0ms	81×	body	80	nan

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.0b

localize11.0ms

Local error

Found 1 expressions with local error:

20.0b

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

rewrite7.0ms

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-+` `insert-posit16` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

7.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify2.0s

Counts

19 → 19

Iterations

Iter	Nodes
done	5000
4	2302
3	793
2	279
1	115
0	52

prune70.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

17.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify1.7s

Counts

36 → 36

Iterations

Iter	Nodes
done	5005
3	1450
2	509
1	173
0	69

prune134.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

17.0ms

(* 1/2 (/ y x))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* 1/2 (/ y x))

simplify1.6s

Counts

36 → 36

Iterations

Iter	Nodes
done	5007
3	1449
2	509
1	173
0	69

prune92.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes176.0ms

Accuracy

96.3% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 19.8b

bsearch78.0ms

Steps

Iters	Range		Point
11	513310621636.50653	1.3252953297811756e+38	1.3070827329489974e+38
11	-1.0582865476399228e+165	-1.7842599764477718e+142	-1.3323185489366894e+154

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample759.0ms

Algorithm

intervals

Results

335.0ms	8000×	body	80	valid
115.0ms	2698×	body	80	nan