Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
3.0ms	73×	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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.8b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
19.3b	(sqrt (+ (* x x) y))

rewrite20.0ms

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:

9.0ms	(+ (* x x) y)
11.0ms	(sqrt (+ (* x x) y))

series70.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* x x) y)
43.0ms	(sqrt (+ (* x x) y))

simplify4.3s

Counts

32 → 32

Iterations

Useful iterations: 4 (722.0ms)

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

prune109.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 43

Calls

2 calls:

6.0ms	(+ x (* 1/2 (/ y x)))
15.0ms	(* 1/2 (/ y x))

series49.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ x (* 1/2 (/ y x)))
19.0ms	(* 1/2 (/ y x))

simplify2.4s

Counts

49 → 49

Iterations

Useful iterations: 3 (553.0ms)

Iter	Nodes	Cost
0	87	443
1	222	397
2	641	373
3	1850	372
done	5001	372

prune90.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

2 → 44

Calls

2 calls:

12.0ms	(- (* (/ y x) -1/2) x)
31.0ms	(* (/ y x) -1/2)

series88.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(- (* (/ y x) -1/2) x)
28.0ms	(* (/ y x) -1/2)

simplify2.3s

Counts

50 → 50

Iterations

Useful iterations: 3 (689.0ms)

Iter	Nodes	Cost
0	91	434
1	209	400
2	564	373
3	1739	371
done	5000	371

prune93.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes170.0ms

Accuracy

99.8% (0.0b remaining)

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

bsearch42.0ms

Steps

Iters	Range		Point
5	1.0873747118125966e+132	2.6088771481949757e+132	2.0585496864569574e+132
8	-6.354265220965125e+156	-2.3729376157764536e+152	-1.3754584125205376e+154

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample900.0ms

Algorithm

intervals

Results

340.0ms	8000×	body	80	valid
137.0ms	2786×	body	80	nan