Details

sample23.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	4
1	28	4
2	43	4
3	56	4
4	72	4
5	133	4
6	214	4
7	265	4
8	297	4
9	297	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 2.0 (+ x y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
14×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 58

Calls

1 calls:

19.0ms

(/ (- x y) (- 2.0 (+ x y)))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(/ (- x y) (- 2.0 (+ x y)))

simplify108.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	275	489
1	853	468
2	4118	466
3	5002	466

prune97.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- 2.0 (+ x y)))
0.0b	(/ x (- 2.0 (+ x y)))
0.0b	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 116

Calls

3 calls:

15.0ms	(/ y (- 2.0 (+ x y)))
14.0ms	(/ x (- 2.0 (+ x y)))
121.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series152.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ y (- 2.0 (+ x y)))
42.0ms	(/ x (- 2.0 (+ x y)))
64.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify39.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	377	899
1	1162	864
2	5001	858

prune219.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (- 2.0 (+ x y)))
0.0b	(- (/ x (- 2.0 (+ x y))) (/ 1 (/ (- 2.0 (+ x y)) y)))
0.0b	(/ (- 2.0 (+ x y)) y)
0.2b	(/ 1 (/ (- 2.0 (+ x y)) y))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

211×	`*-un-lft-identity`
197×	`times-frac`
162×	`add-sqr-sqrt`
89×	`add-cube-cbrt`
47×	`distribute-lft-out--`
31×	`associate-/r*`
30×	`difference-of-squares`
21×	`distribute-lft-out`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`associate-/l*`
9×	`div-exp`
8×	`div-inv`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
3×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `frac-sub` `inv-pow`

Counts

4 → 223

Calls

4 calls:

15.0ms	(/ x (- 2.0 (+ x y)))
163.0ms	(- (/ x (- 2.0 (+ x y))) (/ 1 (/ (- 2.0 (+ x y)) y)))
21.0ms	(/ (- 2.0 (+ x y)) y)
19.0ms	(/ 1 (/ (- 2.0 (+ x y)) y))

series228.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ x (- 2.0 (+ x y)))
80.0ms	(- (/ x (- 2.0 (+ x y))) (/ 1 (/ (- 2.0 (+ x y)) y)))
24.0ms	(/ (- 2.0 (+ x y)) y)
61.0ms	(/ 1 (/ (- 2.0 (+ x y)) y))

simplify83.0ms

Algorithm

egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	719	2009
1	3084	1730
2	5001	1720

prune335.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 2.0 (+ x y)))
0.0b	(/ x (- 2.0 (+ x y)))
0.0b	(- (/ x (- 2.0 (+ x y))) (* (/ 1 (- 2.0 (+ x y))) y))
0.1b	(* (/ 1 (- 2.0 (+ x y))) y)

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
56×	`times-frac`
37×	`add-cube-cbrt`
24×	`associate-l`
22×	`distribute-lft-out--`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`associate-/r*`
11×	`distribute-lft-out` `difference-of-squares`
7×	`pow1`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`div-exp`
4×	`flip3--` `prod-exp` `flip--`
3×	`cbrt-undiv` `associate-r` `associate-*l/` `div-inv` `unswap-sqr`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `cbrt-unprod`
1×	`sub-neg` `pow-flip` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `inv-pow` `sub-div`

Counts

4 → 146

Calls

4 calls:

15.0ms	(/ 1 (- 2.0 (+ x y)))
15.0ms	(/ x (- 2.0 (+ x y)))
80.0ms	(- (/ x (- 2.0 (+ x y))) (* (/ 1 (- 2.0 (+ x y))) y))
40.0ms	(* (/ 1 (- 2.0 (+ x y))) y)

series209.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1 (- 2.0 (+ x y)))
49.0ms	(/ x (- 2.0 (+ x y)))
68.0ms	(- (/ x (- 2.0 (+ x y))) (* (/ 1 (- 2.0 (+ x y))) y))
57.0ms	(* (/ 1 (- 2.0 (+ x y))) y)

simplify59.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	486	989
1	1978	895
2	5001	853

prune461.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes49.0ms

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	4
1	8	4

end0.0ms

sample568.0ms

Algorithm

intervals

Results

435.0ms

8000×

body

valid