Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
1.0ms	87×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 19.3b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

2×	`fma-def` `flip3-+` `sqrt-div` `flip-+`
1×	`+-commutative` `pow1/2` `*-commutative`

Counts

2 → 8

Calls

2 calls:

3.0ms	(+ (* x x) y)
3.0ms	(sqrt (+ (* x x) y))

series63.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (* x x) y)
44.0ms	(sqrt (+ (* x x) y))

simplify103.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	100	64
1	312	53
2	970	49
3	3323	47
4	5001	47

prune28.0ms

Filtered

14 candidates to 10 candidates (71.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0b

Counts

15 → 3

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-*r/`
2×	`clear-num`
1×	`frac-2neg` `associate-r` `un-div-inv` `*-commutative` `div-inv`

Counts

1 → 6

Calls

1 calls:

3.0ms

(* 1/2 (/ y x))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(* 1/2 (/ y x))

simplify111.0ms

Algorithm

egg-herbie

Counts

9 → 9

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	60	10
2	130	10
3	174	10
4	287	10
5	561	10
6	1799	10
7	5002	10

prune10.0ms

Filtered

9 candidates to 5 candidates (55.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	9	0	9
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	9	3	12

Merged error: 0b

Counts

12 → 3

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Merged error: 0b

Counts

3 → 3

regimes104.0ms

Accuracy

98.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 20.8b

bsearch43.0ms

Steps

Iters	Range		Point
7	5.6855753061041534e+76	1.2197657103371039e+78	1.204015455720399e+78
8	-2.083222696695489e+156	-1.0022202071848484e+152	-1.3273230660520982e+154

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	30	9
2	32	9
3	32	9

end0.0ms

sample356.0ms

Algorithm

intervals

Results

149.0ms	8000×	body	80	valid
46.0ms	2658×	body	80	nan