Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	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: 22.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
21.1b	(sqrt (+ (* x x) y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

8.0ms	(+ (* x x) y)
11.0ms	(sqrt (+ (* x x) y))

series95.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* x x) y)
64.0ms	(sqrt (+ (* x x) y))

simplify4.3s

Counts

32 → 32

Iterations

Useful iterations: 4 (903.0ms)

Iter	Nodes	Cost
0	59	319
1	140	294
2	347	258
3	826	255
4	2004	254
5	4212	254
done	5000	254

prune147.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

12.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify2.7s

Counts

14 → 14

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	27	166
1	86	157
2	294	143
3	964	143
4	3062	143
done	5000	143

prune28.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

21.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify3.4s

Counts

15 → 15

Iterations

Useful iterations: 3 (213.0ms)

Iter	Nodes	Cost
0	32	173
1	82	166
2	227	149
3	841	147
4	3605	147
done	5000	147

prune29.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes102.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.0b

bsearch46.0ms

Steps

Iters	Range		Point
6	1.5026730440886545e+96	1.9423403825680393e+97	1.892549585482312e+97
8	-4.810799056667626e+157	-2.5035812315715853e+153	-1.3221955759293222e+154

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample790.0ms

Algorithm

intervals

Results

272.0ms	8000×	body	80	valid
79.0ms	2608×	body	80	nan