Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

341×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

9.0ms	(- (/ x (* y y)) 3.0)
5.0ms	(/ x (* y y))

series62.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- (/ x (* y y)) 3.0)
23.0ms	(/ x (* y y))

simplify108.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	241	508
1	741	343
2	3593	316
3	5002	280

prune88.0ms

Filtered

74 candidates to 41 candidates (55.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	3	75

Merged error: 0.0b

Counts

75 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

342×	`times-frac`
236×	`add-sqr-sqrt`
229×	`*-un-lft-identity`
227×	`add-cube-cbrt`
129×	`prod-diff`
43×	`fma-neg`
21×	`div-inv`
13×	`associate-/l*`
7×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r*` `difference-of-squares`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

2 → 262

Calls

2 calls:

23.0ms	(- (/ (/ x y) y) 3.0)
9.0ms	(/ (/ x y) y)

series65.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- (/ (/ x y) y) 3.0)
23.0ms	(/ (/ x y) y)

simplify82.0ms

Algorithm

egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	709	3025
1	2358	2003
2	5001	1851

prune288.0ms

Filtered

268 candidates to 122 candidates (45.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	265	3	268
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	265	6	271

Merged error: 0b

Counts

271 → 6

localize9.0ms

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)))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

1803×	`times-frac`
990×	`add-sqr-sqrt`
973×	`*-un-lft-identity`
967×	`add-cube-cbrt`
411×	`prod-diff`
137×	`fma-neg`
75×	`div-inv`
57×	`associate-/r*`
29×	`add-exp-log`
22×	`associate-/r/`
18×	`div-exp`
17×	`add-cbrt-cube`
9×	`cbrt-undiv`
7×	`difference-of-squares`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `flip--` `inv-pow`

Counts

3 → 849

Calls

3 calls:

70.0ms	(- (/ 1 (/ y (/ x y))) 3.0)
6.0ms	(/ y (/ x y))
13.0ms	(/ 1 (/ y (/ x y)))

series66.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(- (/ 1 (/ y (/ x y))) 3.0)
26.0ms	(/ y (/ x y))
17.0ms	(/ 1 (/ y (/ x y)))

simplify149.0ms

Algorithm

egg-herbie

Counts

858 → 858

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	2016	11845
1	5001	7937

prune870.0ms

Filtered

858 candidates to 344 candidates (40.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	857	1	858
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	859	5	864

Merged error: 0b

Counts

864 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (/ 1 (/ y x)) y) 3.0)
0.2b	(/ (/ 1 (/ y x)) y)
0.7b	(/ 1 (/ y x))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

1802×	`times-frac`
987×	`add-sqr-sqrt`
970×	`*-un-lft-identity`
966×	`add-cube-cbrt`
408×	`prod-diff`
136×	`fma-neg`
74×	`div-inv`
47×	`associate-/l*`
33×	`add-exp-log`
21×	`div-exp`
17×	`associate-/r/` `add-cbrt-cube`
16×	`associate-/r*`
9×	`cbrt-undiv`
6×	`difference-of-squares`
5×	`add-log-exp`
4×	`pow1` `rec-exp` `1-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--` `inv-pow`

Counts

3 → 845

Calls

3 calls:

68.0ms	(- (/ (/ 1 (/ y x)) y) 3.0)
14.0ms	(/ (/ 1 (/ y x)) y)
7.0ms	(/ 1 (/ y x))

series48.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(- (/ (/ 1 (/ y x)) y) 3.0)
17.0ms	(/ (/ 1 (/ y x)) y)
10.0ms	(/ 1 (/ y x))

simplify155.0ms

Algorithm

egg-herbie

Counts

854 → 854

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	2091	11746
1	5001	8565

prune1.0s

Filtered

854 candidates to 397 candidates (46.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	853	1	854
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	854	5	859

Merged error: 0b

Counts

859 → 5

regimes80.0ms

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	10	4
1	10	4

end0.0ms

sample443.0ms

Algorithm

intervals

Results

264.0ms

10665×

body

valid