Details

sample137.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 23.164689%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

6.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

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

prune3.0ms

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: 5.9b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ x (* y y)) 3.0)
11.7b	(/ x (* y y))

rewrite11.0ms

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:

6.0ms	(- (/ x (* y y)) 3.0)
4.0ms	(/ x (* y y))

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- (/ x (* y y)) 3.0)
5.0ms	(/ x (* y y))

simplify37.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (11.0ms)

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

prune61.0ms

Filtered

30 candidates to 42 candidates (-40.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	7	43

Merged error: 0.0b

Counts

43 → 7

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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)

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- (/ (/ x y) y) 3.0)
5.0ms	(/ (/ x y) y)

simplify39.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (30.0ms)

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

prune89.0ms

Filtered

62 candidates to 92 candidates (-48.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	91	8	99

Merged error: 0b

Counts

99 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`times-frac`
24×	`add-exp-log`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
14×	`add-cbrt-cube`
13×	`associate-r` `associate-l`
8×	`div-exp` `prod-exp`
6×	`unswap-sqr`
4×	`pow1` `cbrt-undiv` `cbrt-unprod` `add-log-exp`
2×	`rec-exp` `1-exp` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--`

Counts

2 → 68

Calls

2 calls:

9.0ms	(- (* (/ 1 y) (/ x y)) 3.0)
11.0ms	(* (/ 1 y) (/ x y))

series7.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(- (* (/ 1 y) (/ x y)) 3.0)
4.0ms	(* (/ 1 y) (/ x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	372	388
1	1750	333
2	5001	289

prune74.0ms

Filtered

44 candidates to 74 candidates (-68.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	74	8	82

Merged error: 0b

Counts

82 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 1 (/ y (/ x y))) 3.0)
0.2b	(/ y (/ x y))
0.4b	(/ 1 (/ y (/ x y)))

rewrite84.0ms

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:

47.0ms	(- (/ 1 (/ y (/ x y))) 3.0)
6.0ms	(/ y (/ x y))
12.0ms	(/ 1 (/ y (/ x y)))

series11.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(- (/ 1 (/ y (/ x y))) 3.0)
3.0ms	(/ y (/ x y))
4.0ms	(/ 1 (/ y (/ x y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

304 → 304

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1033	2564
1	5001	1977

prune160.0ms

Filtered

150 candidates to 304 candidates (-102.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	303	1	304
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	304	8	312

Merged error: 0b

Counts

312 → 8

regimes268.0ms

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

sample441.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 23.164689%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

191.0ms	8000×	body	80	valid
5.0ms	210×	body	80	invalid

Details

sample137.0ms

simplify5.0ms

prune3.0ms

localize8.0ms

rewrite11.0ms

series11.0ms

simplify37.0ms

prune61.0ms

localize4.0ms

rewrite26.0ms

series12.0ms

simplify39.0ms

prune89.0ms

localize6.0ms

rewrite22.0ms

series7.0ms

simplify46.0ms

prune74.0ms

localize6.0ms

rewrite84.0ms

series11.0ms

simplify57.0ms

prune160.0ms

regimes268.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample441.0ms

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