Details

analyze50.0ms

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	13×	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

prune7.0ms

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:

9.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify57.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5602	942

prune58.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2 (+ x y))
0.1b	(/ 1 (* (/ 2 (+ x y)) y))
0.2b	(* (/ 2 (+ x y)) y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
31×	`add-exp-log`
28×	`add-sqr-sqrt` `times-frac`
23×	`add-cube-cbrt`
19×	`add-cbrt-cube`
18×	`associate-l`
11×	`div-exp`
8×	`pow1` `prod-exp`
7×	`distribute-lft-out`
6×	`cbrt-undiv` `associate-/l*`
5×	`associate-/r*` `associate-/r/`
4×	`cbrt-unprod`
3×	`rec-exp` `1-exp` `associate-r` `div-inv` `add-log-exp`
2×	`pow-flip` `frac-2neg` `flip3-+` `pow-prod-down` `associate-*l/` `clear-num` `flip-+` `unswap-sqr`
1×	`*-commutative` `inv-pow`

Counts

3 → 103

Calls

3 calls:

5.0ms	(/ 2 (+ x y))
8.0ms	(/ 1 (* (/ 2 (+ x y)) y))
8.0ms	(* (/ 2 (+ x y)) y)

series20.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/ 2 (+ x y))
5.0ms	(/ 1 (* (/ 2 (+ x y)) y))
6.0ms	(* (/ 2 (+ x y)) y)

simplify54.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4939	875
1	4939	875

prune98.0ms

Filtered

72 candidates to 112 candidates (-55.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	112	3	115

Merged error: 0b

Counts

115 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (sqrt y))
0.2b	(* (/ 1 (sqrt y)) (/ (+ x y) (* (sqrt y) 2)))
0.2b	(/ (+ x y) (* (sqrt y) 2))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
48×	`times-frac`
47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
35×	`add-cube-cbrt`
31×	`add-cbrt-cube`
23×	`sqrt-prod`
22×	`associate-l`
18×	`div-exp`
17×	`prod-exp`
10×	`cbrt-undiv`
9×	`cbrt-unprod`
8×	`associate-r`
7×	`pow1` `associate-/r` `associate-/l`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `div-inv`
3×	`pow-flip` `distribute-lft-out` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `flip3-+` `pow1/2` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip-+` `inv-pow`

Counts

3 → 135

Calls

3 calls:

4.0ms	(/ 1 (sqrt y))
18.0ms	(* (/ 1 (sqrt y)) (/ (+ x y) (* (sqrt y) 2)))
7.0ms	(/ (+ x y) (* (sqrt y) 2))

series24.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ 1 (sqrt y))
8.0ms	(* (/ 1 (sqrt y)) (/ (+ x y) (* (sqrt y) 2)))
9.0ms	(/ (+ x y) (* (sqrt y) 2))

simplify72.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4934	1337
1	4934	1337

prune118.0ms

Filtered

86 candidates to 144 candidates (-67.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	144	3	147

Merged error: 0b

Counts

147 → 3

regimes99.0ms

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	6	7
1	6	7

end0.0ms

sample289.0ms

Algorithm

intervals

Results

168.0ms	8000×	body	80	valid
4.0ms	184×	body	80	invalid

Details

analyze50.0ms

sample12.0ms

simplify3.0ms

prune7.0ms

localize4.0ms

rewrite12.0ms

series5.0ms

simplify57.0ms

prune58.0ms

localize6.0ms

rewrite24.0ms

series20.0ms

simplify54.0ms

prune98.0ms

localize8.0ms

rewrite34.0ms

series24.0ms

simplify72.0ms

prune118.0ms

regimes99.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample289.0ms

Profiling