Details

sample34.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
3.0ms	68×	body	80	nan

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize11.0ms

Local error

Found 1 expressions with local error:

22.8b

(sqrt (+ (* x x) y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

7.0ms

(sqrt (+ (* x x) y))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(sqrt (+ (* x x) y))

simplify1.9s

Counts

18 → 18

Iterations

Iter	Nodes
done	5000
3	2548
2	454
1	122
0	51

prune134.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

10.0ms	(* -1/2 (/ y x))
10.0ms	(- (* -1/2 (/ y x)) x)

series78.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* -1/2 (/ y x))
49.0ms	(- (* -1/2 (/ y x)) x)

simplify2.1s

Counts

50 → 50

Iterations

Iter	Nodes
done	5001
3	3383
2	734
1	234
0	92

prune278.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

4.0ms	(+ x (* 1/2 (/ y x)))
11.0ms	(* 1/2 (/ y x))

series77.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ x (* 1/2 (/ y x)))
28.0ms	(* 1/2 (/ y x))

simplify2.4s

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
3	3513
2	805
1	238
0	87

prune238.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes279.0ms

Accuracy

98.5% (0.3b remaining)

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

bsearch66.0ms

Steps

Iters	Range		Point
9	8.908836475256392e+77	1.558026422899287e+83	1.4962754851117796e+83
7	-7.355508189375281e+154	-1.4655417278048526e+153	-1.3694996904889312e+154

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample714.0ms

Algorithm

intervals

Results

259.0ms	8000×	body	80	valid
135.0ms	2606×	body	80	nan