Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

341×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	11	3
2	11	3

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: 4.3b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ x (* y y)) 3.0)
10.1b	(/ x (* y y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

7.0ms	(- (/ x (* y y)) 3.0)
4.0ms	(/ x (* y y))

series60.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- (/ x (* y y)) 3.0)
22.0ms	(/ x (* y y))

simplify39.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	159	182
1	465	164
2	1357	162
3	5001	162

prune64.0ms

Filtered

42 candidates to 30 candidates (71.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Merged error: 0.0b

Counts

43 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ (/ x y) y) 3.0)
0.2b	(/ (/ x y) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
53×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`add-cube-cbrt`
13×	`associate-/l*`
7×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*` `difference-of-squares`
2×	`pow1`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

2 → 86

Calls

2 calls:

16.0ms	(- (/ (/ x y) y) 3.0)
6.0ms	(/ (/ x y) y)

series61.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- (/ (/ x y) y) 3.0)
26.0ms	(/ (/ x y) y)

simplify39.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	375	563
1	1327	525
2	5001	517

prune135.0ms

Filtered

92 candidates to 63 candidates (68.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	89	6	95

Merged error: 0b

Counts

95 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 1 (/ y (/ x y))) 3.0)
0.2b	(/ y (/ x y))
1.0b	(/ 1 (/ y (/ x y)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

483×	`times-frac`
253×	`add-sqr-sqrt`
236×	`*-un-lft-identity`
230×	`add-cube-cbrt`
57×	`associate-/r*`
29×	`add-exp-log`
23×	`div-inv`
18×	`div-exp`
17×	`add-cbrt-cube`
9×	`cbrt-undiv`
7×	`difference-of-squares`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `flip--` `inv-pow`

Counts

3 → 295

Calls

3 calls:

45.0ms	(- (/ 1 (/ y (/ x y))) 3.0)
6.0ms	(/ y (/ x y))
16.0ms	(/ 1 (/ y (/ x y)))

series57.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(- (/ 1 (/ y (/ x y))) 3.0)
18.0ms	(/ y (/ x y))
18.0ms	(/ 1 (/ y (/ x y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

304 → 304

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1033	2566
1	5001	1979

prune318.0ms

Filtered

304 candidates to 152 candidates (50.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	304	0	304
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	304	6	310

Merged error: 0b

Counts

310 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series898.0ms

Counts

4 → 12

Calls

4 calls:

363.0ms	(cbrt y)
181.0ms	(cbrt x)
177.0ms	(cbrt x)
175.0ms	(cbrt x)

simplify59.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	69	156
1	145	144
2	346	136
3	1277	136
4	5001	136

prune138.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	56	6	62

Merged error: 0b

Counts

62 → 6

regimes92.0ms

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	6	3

end0.0ms

sample403.0ms

Algorithm

intervals

Results

241.0ms

10665×

body

valid