Details

analyze59.0ms

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
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

prune3.0ms

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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x y) (+ y y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
48×	`times-frac`
39×	`add-sqr-sqrt` `add-cube-cbrt`
28×	`distribute-lft-out`
15×	`distribute-rgt-out`
12×	`associate-/r*`
5×	`distribute-lft1-in` `count-2` `distribute-rgt1-in`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 80

Calls

1 calls:

8.0ms

(/ (+ x y) (+ y y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (+ x y) (+ y y))

simplify55.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5602	942

prune59.0ms

Filtered

47 candidates to 83 candidates (-76.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Merged error: 0b

Counts

84 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1/2 (* x (/ 1/2 y)))
0.3b	(* x (/ 1/2 y))

rewrite10.0ms

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:

3.0ms	(+ 1/2 (* x (/ 1/2 y)))
6.0ms	(* x (/ 1/2 y))

series7.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ 1/2 (* x (/ 1/2 y)))
3.0ms	(* x (/ 1/2 y))

simplify53.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4917	362
1	4917	362

prune52.0ms

Filtered

34 candidates to 49 candidates (-44.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	50	2	52

Merged error: 0b

Counts

52 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

5.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify48.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4956	140
1	4956	140

prune17.0ms

Filtered

12 candidates to 15 candidates (-25.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	15	2	17

Merged error: 0b

Counts

17 → 2

regimes94.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

sample297.0ms

Algorithm

intervals

Results

168.0ms	8000×	body	80	valid
4.0ms	195×	body	80	invalid

Details

analyze59.0ms

sample12.0ms

simplify3.0ms

prune3.0ms

localize4.0ms

rewrite12.0ms

series5.0ms

simplify55.0ms

prune59.0ms

localize7.0ms

rewrite10.0ms

series7.0ms

simplify53.0ms

prune52.0ms

localize5.0ms

rewrite6.0ms

series4.0ms

simplify48.0ms

prune17.0ms

regimes94.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample297.0ms

Profiling