Details

analyze63.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	50%	6.3%	6
43.7%	43.7%	12.6%	7
59.3%	26.5%	14.1%	8
59.3%	22.6%	18%	9
67.1%	13.7%	19.2%	10
67.1%	11.5%	21.4%	11
71%	6.9%	22%	12
71%	5.8%	23.2%	13
73%	3.5%	23.5%	14

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	6×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

prune6.0ms

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: 22.6b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

21.0b

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

4.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4926	159
1	4926	159

prune25.0ms

Filtered

15 candidates to 18 candidates (-20.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0b

Counts

19 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (/ -1/2 x))

rewrite7.0ms

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:

6.0ms

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

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify62.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5360	230

prune36.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	35	3	38

Merged error: 0b

Counts

38 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (/ 1/2 x))

rewrite7.0ms

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:

6.0ms

(* y (/ 1/2 x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* y (/ 1/2 x))

simplify47.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4960	229
1	4960	229

prune35.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	35	3	38

Merged error: 0b

Counts

38 → 3

regimes197.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.6b

bsearch20.0ms

Steps

Iters	Range		Point
5	1.6651309789641456e+83	3.383715663715338e+83	3.3449376977611315e+83
9	-3.1742450791151455e+160	-1.2897504929461052e+153	-1.369012744344831e+154

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	28
1	33	28

end0.0ms

sample331.0ms

Algorithm

intervals

Results

198.0ms	8000×	body	80	valid
4.0ms	161×	body	80	nan

Details

analyze63.0ms

sample13.0ms

simplify3.0ms

prune6.0ms

localize4.0ms

rewrite4.0ms

series6.0ms

simplify51.0ms

prune25.0ms

localize4.0ms

rewrite7.0ms

series3.0ms

simplify62.0ms

prune36.0ms

localize4.0ms

rewrite7.0ms

series3.0ms

simplify47.0ms

prune35.0ms

regimes197.0ms

bsearch20.0ms

simplify1.0ms

end0.0ms

sample331.0ms

Profiling