Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
2.0ms	82×	body	80	nan

simplify2.0ms

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: 20.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
19.4b	(sqrt (+ (* x x) y))

rewrite22.0ms

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)
13.0ms	(sqrt (+ (* x x) y))

series86.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* x x) y)
54.0ms	(sqrt (+ (* x x) y))

simplify3.5s

Counts

32 → 32

Iterations

Useful iterations: 4 (687.0ms)

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

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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:

24.0ms

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

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify2.7s

Counts

15 → 15

Iterations

Useful iterations: 3 (211.0ms)

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

prune24.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:

6.0ms

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

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify2.5s

Counts

14 → 14

Iterations

Useful iterations: 2 (53.0ms)

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

prune26.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 20.9b

bsearch51.0ms

Steps

Iters	Range		Point
8	2.3460915143298957e+81	7.5748038176292055e+84	6.063771965228405e+84
10	-2.467274161490782e+161	-2.5300323932420435e+146	-1.3303999492099964e+154

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample765.0ms

Algorithm

intervals

Results

352.0ms	8000×	body	80	valid
74.0ms	2625×	body	80	nan