Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	4
1	48	4
2	106	4
3	174	4
4	198	4
5	203	4
6	203	4

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: 17.2b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

16.6b

(/ (- x y) (* (* x 2.0) y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`times-frac` `associate-/l*`
3×	`cbrt-undiv` `add-cube-cbrt` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r*` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

9.0ms

(/ (- x y) (* (* x 2.0) y))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(/ (- x y) (* (* x 2.0) y))

simplify32.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	242	218
1	990	181
2	5002	180

prune57.0ms

Filtered

35 candidates to 24 candidates (68.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	2	36

Merged error: 0.0b

Counts

36 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

261×	`times-frac`
216×	`add-sqr-sqrt`
208×	`*-un-lft-identity`
192×	`add-cube-cbrt`
169×	`prod-diff`
31×	`div-inv`
13×	`fma-neg`
9×	`difference-of-squares`
7×	`distribute-lft-out--`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 213

Calls

1 calls:

17.0ms

(- (/ 1 y) (/ 1 x))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(- (/ 1 y) (/ 1 x))

simplify113.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	632	4575
1	1668	2587
2	4521	2326
3	5001	2232

prune103.0ms

Filtered

216 candidates to 44 candidates (20.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	215	1	216
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	215	3	218

Merged error: 0b

Counts

218 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (/ 1 y) (/ 1 x)))
0.5b	(cbrt (- (/ 1 y) (/ 1 x)))
0.5b	(cbrt (- (/ 1 y) (/ 1 x)))
0.5b	(* (cbrt (- (/ 1 y) (/ 1 x))) (cbrt (- (/ 1 y) (/ 1 x))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

205×	`add-sqr-sqrt`
181×	`*-un-lft-identity`
177×	`cbrt-prod`
126×	`times-frac`
81×	`distribute-lft-out--`
63×	`difference-of-squares`
60×	`div-inv`
42×	`swap-sqr`
33×	`cbrt-div`
29×	`add-cube-cbrt`
22×	`associate-r` `associate-l`
11×	`pow1` `flip3--` `frac-sub` `flip--`
9×	`frac-times` `pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-r/` `associate-l/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 221

Calls

4 calls:

12.0ms	(cbrt (- (/ 1 y) (/ 1 x)))
15.0ms	(cbrt (- (/ 1 y) (/ 1 x)))
12.0ms	(cbrt (- (/ 1 y) (/ 1 x)))
36.0ms	(* (cbrt (- (/ 1 y) (/ 1 x))) (cbrt (- (/ 1 y) (/ 1 x))))

series316.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(cbrt (- (/ 1 y) (/ 1 x)))
78.0ms	(cbrt (- (/ 1 y) (/ 1 x)))
78.0ms	(cbrt (- (/ 1 y) (/ 1 x)))
81.0ms	(* (cbrt (- (/ 1 y) (/ 1 x))) (cbrt (- (/ 1 y) (/ 1 x))))

simplify72.0ms

Algorithm

egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	514	2707
1	1954	2386
2	5001	2225

prune405.0ms

Filtered

233 candidates to 129 candidates (55.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	233	3	236

Merged error: 0b

Counts

236 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (* x 2.0))
8.3b	(/ (/ (- x y) (* x 2.0)) y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

52×	`times-frac`
34×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
14×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`div-inv` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`div-sub` `associate-/l/`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 89

Calls

2 calls:

11.0ms	(/ (- x y) (* x 2.0))
8.0ms	(/ (/ (- x y) (* x 2.0)) y)

series97.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (- x y) (* x 2.0))
54.0ms	(/ (/ (- x y) (* x 2.0)) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	386	623
1	1500	563
2	5001	562

prune128.0ms

Filtered

95 candidates to 69 candidates (72.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Merged error: 0b

Counts

98 → 3

regimes27.0ms

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	11	4
1	11	4

end0.0ms

sample294.0ms

Algorithm

intervals

Results

175.0ms

8001×

body

valid