Details

sample27.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
3.0ms	82×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
21.3b	(sqrt (+ (* x x) y))

rewrite39.0ms

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:

13.0ms	(+ (* x x) y)
25.0ms	(sqrt (+ (* x x) y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (* x x) y)
63.0ms	(sqrt (+ (* x x) y))

simplify3.8s

Counts

32 → 32

Iterations

Useful iterations: 4 (740.0ms)

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

prune117.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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:

17.0ms

(* 1/2 (/ y x))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(* 1/2 (/ y x))

simplify5.5s

Counts

35 → 35

Iterations

Useful iterations: 3 (278.0ms)

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

prune62.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:

15.0ms

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

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify5.9s

Counts

35 → 35

Iterations

Useful iterations: 2 (110.0ms)

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

prune81.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes117.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 21.7b

bsearch52.0ms

Steps

Iters	Range		Point
6	1.7121510424883066e+131	1.3902720376798892e+132	1.2391028676879651e+132
10	-1.411670626970749e+155	-2.3476897461678616e+140	-1.3305299901761994e+154

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample947.0ms

Algorithm

intervals

Results

404.0ms	2604×	body	80	nan
209.0ms	8000×	body	80	valid