Details

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 15.863037%

Guaranteed chance to sample good point: 71.802684%

Results

10.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (36.0ms)

Iter	Nodes	Cost
0	22	6
1	46	6
2	111	6
3	237	6
4	405	6
5	595	6
6	919	6
7	2627	5
8	5001	5

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
0.0b	(/ (- x z) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `associate-+r+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `flip3--` `frac-2neg` `distribute-lft-in` `flip3-+` `div-sub` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv`

Counts

2 → 51

Calls

2 calls:

3.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
6.0ms	(/ (- x z) y)

series14.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
6.0ms	(/ (- x z) y)

simplify86.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	263	320
1	854	293
2	3889	293
3	5001	293

prune65.0ms

Filtered

42 candidates to 57 candidates (-35.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Merged error: 0b

Counts

58 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ 1.0 (* 4.0 (+ 0.75 (- (/ x y) (/ z y)))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`associate-+r+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

3.0ms

(+ 1.0 (* 4.0 (+ 0.75 (- (/ x y) (/ z y)))))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(+ 1.0 (* 4.0 (+ 0.75 (- (/ x y) (/ z y)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	117	140
1	429	124
2	2328	124
3	5001	124

prune24.0ms

Filtered

13 candidates to 16 candidates (-23.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	16	2	18

Merged error: 0b

Counts

18 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 4.0 (+ 0.75 (cbrt (pow (/ (- x z) y) 3)))))
0.0b	(/ (- x z) y)
0.3b	(pow (/ (- x z) y) 3)
32.0b	(cbrt (pow (/ (- x z) y) 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt` `*-un-lft-identity`
75×	`times-frac`
52×	`add-cube-cbrt`
44×	`cbrt-prod`
38×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`pow1` `div-inv` `associate-/l*`
3×	`pow-unpow` `associate-/r*`
2×	`cbrt-undiv` `cube-div` `cube-mult` `associate-+r+` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `cbrt-div` `flip3--` `pow-pow` `frac-2neg` `distribute-lft-in` `flip3-+` `pow1/3` `div-sub` `clear-num` `sum-log` `flip--` `rem-cbrt-cube` `flip-+`

Counts

4 → 163

Calls

4 calls:

3.0ms	(+ 1.0 (* 4.0 (+ 0.75 (cbrt (pow (/ (- x z) y) 3)))))
6.0ms	(/ (- x z) y)
7.0ms	(pow (/ (- x z) y) 3)
9.0ms	(cbrt (pow (/ (- x z) y) 3))

series42.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ 1.0 (* 4.0 (+ 0.75 (cbrt (pow (/ (- x z) y) 3)))))
6.0ms	(/ (- x z) y)
14.0ms	(pow (/ (- x z) y) 3)
9.0ms	(cbrt (pow (/ (- x z) y) 3))

simplify77.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	622	1132
1	2822	1028
2	5002	1012

prune148.0ms

Filtered

92 candidates to 175 candidates (-90.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	175	2	177

Merged error: 0b

Counts

177 → 2

regimes124.0ms

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	15	6
1	15	6

end0.0ms

sample2.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 15.863037%

Guaranteed chance to sample good point: 71.802684%

Results

316.0ms	8000×	body	80	valid
24.0ms	559×	body	80	invalid

Details

sample1.7s

simplify90.0ms

prune8.0ms

localize7.0ms

rewrite10.0ms

series14.0ms

simplify86.0ms

prune65.0ms

localize9.0ms

rewrite3.0ms

series7.0ms

simplify56.0ms

prune24.0ms

localize11.0ms

rewrite31.0ms

series42.0ms

simplify77.0ms

prune148.0ms

regimes124.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.2s

Profiling