Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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))

series64.0ms

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

prune63.0ms

Filtered

49 candidates to 33 candidates (67.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	3	50

Merged error: 0.0b

Counts

50 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (/ (+ x y) (- x y)))
0.0b	(/ (+ x y) (- x y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
31×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `flip3-+` `flip-+` `inv-pow`

Counts

2 → 173

Calls

2 calls:

11.0ms	(/ 1 (/ (+ x y) (- x y)))
8.0ms	(/ (+ x y) (- x y))

series122.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ 1 (/ (+ x y) (- x y)))
58.0ms	(/ (+ x y) (- x y))

simplify54.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	460	1458
1	2147	1314
2	5001	1149

prune144.0ms

Filtered

179 candidates to 78 candidates (43.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	178	4	182

Merged error: 0b

Counts

182 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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

series151.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ y (+ x y))
42.0ms	(/ x (+ x y))
72.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (8.0ms)

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

prune129.0ms

Filtered

103 candidates to 74 candidates (71.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	103	4	107

Merged error: 0b

Counts

107 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
0.1b	(pow (/ x (+ x y)) 3)
14.6b	(cbrt (pow (/ x (+ x y)) 3))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
81×	`*-un-lft-identity`
71×	`times-frac`
54×	`cbrt-prod`
47×	`add-cube-cbrt`
40×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out`
14×	`difference-of-squares`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`pow1` `flip3-+` `flip-+` `div-inv`
4×	`associate-/r*` `sqr-pow`
3×	`cube-div` `pow-unpow` `associate-/l*`
2×	`cbrt-undiv` `cube-mult` `cbrt-div` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `clear-num` `frac-sub` `flip--` `rem-cbrt-cube` `distribute-lft-out--`

Counts

4 → 169

Calls

4 calls:

5.0ms	(/ x (+ x y))
46.0ms	(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
7.0ms	(pow (/ x (+ x y)) 3)
7.0ms	(cbrt (pow (/ x (+ x y)) 3))

series226.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ x (+ x y))
73.0ms	(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
75.0ms	(pow (/ x (+ x y)) 3)
42.0ms	(cbrt (pow (/ x (+ x y)) 3))

simplify62.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	501	1198
1	2054	1083
2	5001	1073

prune191.0ms

Filtered

181 candidates to 90 candidates (49.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	181	4	185

Merged error: 0b

Counts

185 → 4

regimes30.0ms

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	10	4
1	10	4

end0.0ms

sample303.0ms

Algorithm

intervals

Results

174.0ms

8000×

body

valid