Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	16	3

prune1.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

7.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify45.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	187	290
1	526	276
2	1771	276
3	5002	273

prune62.0ms

Filtered

49 candidates to 33 candidates (67.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	3	50

Merged error: 0.0b

Counts

50 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
40×	`times-frac`
35×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
12×	`distribute-lft-out`
8×	`associate-/r*` `associate-/r/`
7×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`flip3-+` `flip-+` `div-inv` `difference-of-squares`
3×	`pow1` `distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

3 → 94

Calls

3 calls:

5.0ms	(/ x (+ x y))
8.0ms	(/ y (+ x y))
20.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series149.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ x (+ x y))
37.0ms	(/ y (+ x y))
74.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	260	536
1	791	515
2	2132	515
3	5001	515

prune129.0ms

Filtered

103 candidates to 73 candidates (70.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	103	3	106

Merged error: 0b

Counts

106 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (+ x y))
0.0b	(cbrt (pow (/ (- x y) (+ x y)) 3))
0.0b	(pow (/ (- x y) (+ x y)) 3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
4×	`pow1` `associate-/r*`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `clear-num` `flip--` `rem-cbrt-cube`

Counts

3 → 186

Calls

3 calls:

7.0ms	(/ (- x y) (+ x y))
10.0ms	(cbrt (pow (/ (- x y) (+ x y)) 3))
9.0ms	(pow (/ (- x y) (+ x y)) 3)

series223.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ (- x y) (+ x y))
85.0ms	(cbrt (pow (/ (- x y) (+ x y)) 3))
72.0ms	(pow (/ (- x y) (+ x y)) 3)

simplify65.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	502	1403
1	2181	1310
2	5001	1292

prune191.0ms

Filtered

195 candidates to 87 candidates (44.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	195	3	198

Merged error: 0b

Counts

198 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
56×	`times-frac`
50×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
16×	`distribute-lft-out`
14×	`distribute-lft-out--`
12×	`associate-/r/`
8×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
6×	`distribute-rgt-out--` `flip3-+` `flip-+` `div-inv` `associate-/l*`
4×	`pow1`
2×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--` `sub-div`

Counts

4 → 122

Calls

4 calls:

5.0ms	(/ y (+ x y))
5.0ms	(/ y (+ x y))
21.0ms	(- (/ x (+ x y)) (/ y (+ x y)))
24.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series473.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(/ y (+ x y))
38.0ms	(/ y (+ x y))
77.0ms	(- (/ x (+ x y)) (/ y (+ x y)))
75.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	217	776
1	605	742
2	1640	742
3	5002	742

prune261.0ms

Filtered

134 candidates to 98 candidates (73.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	134	3	137

Merged error: 0b

Counts

137 → 3

regimes41.0ms

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	3
1	6	3

end0.0ms

sample296.0ms

Algorithm

intervals

Results

172.0ms

8000×

body

valid