Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	25	5
3	26	5
4	26	5

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

5.5b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `distribute-lft-out`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

10.0ms

(/ y (+ 1.0 (/ (* x y) 2.0)))

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify148.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	209	283
1	791	264
2	4176	259
3	5001	259

prune80.0ms

Filtered

36 candidates to 26 candidates (72.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	3	37

Merged error: 0.0b

Counts

37 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
5.4b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
92×	`*-un-lft-identity`
60×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
16×	`distribute-lft-out`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `flip3-+` `associate-/r/` `flip-+` `inv-pow`

Counts

2 → 121

Calls

2 calls:

9.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series118.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
57.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify63.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	443	1186
1	2081	1068
2	5002	975

prune150.0ms

Filtered

127 candidates to 62 candidates (48.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	126	4	130

Merged error: 0b

Counts

130 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y)
0.2b	(/ (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y))
1.4b	(sqrt (+ 1.0 (/ (* x y) 2.0)))
1.4b	(sqrt (+ 1.0 (/ (* x y) 2.0)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

1830×	`times-frac`
1114×	`*-un-lft-identity`
780×	`add-sqr-sqrt`
778×	`add-cube-cbrt`
672×	`sqrt-prod`
168×	`distribute-lft-out`
58×	`sqrt-div`
56×	`div-inv`
53×	`associate-/r/`
34×	`associate-/l*`
29×	`flip3-+` `flip-+`
28×	`add-exp-log` `associate-/r*`
18×	`add-cbrt-cube`
17×	`div-exp`
9×	`cbrt-undiv`
6×	`pow1`
4×	`add-log-exp`
3×	`associate-/l/`
2×	`rem-sqrt-square` `rec-exp` `frac-2neg` `sqrt-pow1` `pow1/2` `1-exp` `clear-num`

Counts

4 → 828

Calls

4 calls:

7.0ms	(/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y)
33.0ms	(/ (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y))
4.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
6.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

series412.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y)
68.0ms	(/ (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y))
105.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
106.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

simplify234.0ms

Algorithm

egg-herbie

Counts

840 → 840

Iterations

Useful iterations: 1 (54.0ms)

Iter	Nodes	Cost
0	2612	18936
1	5001	17293

prune1.1s

Filtered

840 candidates to 282 candidates (33.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	840	0	840
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	840	4	844

Merged error: 0b

Counts

844 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
1.2b	(- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))
2.9b	(/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))
19.4b	(* (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
67×	`times-frac`
47×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
40×	`add-cube-cbrt` `associate-l`
35×	`distribute-lft-out`
28×	`unpow-prod-down` `cube-prod`
17×	`prod-exp` `cbrt-unprod`
14×	`cbrt-undiv` `div-exp`
13×	`pow1`
10×	`associate-r/` `associate-r*`
9×	`associate-/r*`
7×	`swap-sqr` `sum-cubes`
6×	`div-inv` `add-log-exp`
4×	`frac-times` `flip3-+` `associate-*l/` `associate-/r/` `flip-+`
3×	`frac-sub` `associate-/l*` `unswap-sqr`
2×	`pow-prod-down` `*-commutative` `sub-div`
1×	`pow2` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `flip--`

Counts

4 → 185

Calls

4 calls:

11.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
8.0ms	(- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))
18.0ms	(/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))
51.0ms	(* (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))))

series369.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
81.0ms	(- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))
69.0ms	(/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))
181.0ms	(* (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	951	2308
1	5001	2019

prune432.0ms

Filtered

197 candidates to 118 candidates (59.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	197	4	201

Merged error: 0b

Counts

201 → 4

regimes40.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample398.0ms

Algorithm

intervals

Results

266.0ms	7998×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid