Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	55×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
18.0b	(sqrt (+ (* x x) y))

rewrite18.0ms

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)
10.0ms	(sqrt (+ (* x x) y))

series89.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* x x) y)
58.0ms	(sqrt (+ (* x x) y))

simplify633.0ms

Counts

32 → 32

Iterations

Useful iterations: done (631.0ms)

Iter	Nodes	Cost
0	59	319
1	154	294
2	700	258
done	5000	255

prune131.0ms

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	(- (* (/ 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)

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify881.0ms

Counts

15 → 15

Iterations

Useful iterations: 3 (257.0ms)

Iter	Nodes	Cost
0	32	173
1	82	166
2	235	149
3	1297	147
done	5000	147

prune51.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:

11.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify3.8s

Counts

14 → 14

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	27	166
1	86	157
2	302	143
3	1157	143
4	4751	143
done	5001	143

prune33.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes240.0ms

Accuracy

99.1% (0.2b remaining)

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

bsearch77.0ms

Steps

Iters	Range		Point
10	7.764823604878808e+84	1.062611665094897e+97	1.0458219696427684e+97
10	-2.6311241885405294e+166	-1.626953607814572e+151	-1.3014522151396273e+154

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample784.0ms

Algorithm

intervals

Results

265.0ms	8000×	body	80	valid
95.0ms	2689×	body	80	nan