Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	105×	body	80	nan

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize7.0ms

Local error

Found 1 expressions with local error:

15.9b

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

14.0ms

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

series61.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify3.6s

Counts

18 → 18

Iterations

Useful iterations: 4 (350.0ms)

Iter	Nodes	Cost
0	51	195
1	116	173
2	251	157
3	484	154
4	858	153
5	1588	153
6	3836	153
done	5001	153

prune60.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

20.0ms

(* 1/2 (/ y x))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* 1/2 (/ y x))

simplify5.5s

Counts

35 → 35

Iterations

Useful iterations: 3 (363.0ms)

Iter	Nodes	Cost
0	68	277
1	162	250
2	426	230
3	1067	229
4	2498	229
done	5000	229

prune83.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

26.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify5.9s

Counts

35 → 35

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	67	261
1	153	244
2	404	224
3	1033	224
4	2565	224
done	5001	224

prune99.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes171.0ms

Accuracy

98.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 21.4b

bsearch93.0ms

Steps

Iters	Range		Point
9	1.503903705796019e+67	3.2837443592568895e+72	4.72137797244483e+71
9	-1.0678556448617386e+161	-2.0545059602165346e+153	-1.352540539223699e+154

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	28
1	22	28
done	22	28

end0.0ms

sample1.3s

Algorithm

intervals

Results

786.0ms	8000×	body	80	valid
111.0ms	2646×	body	80	nan