Details

sample142.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 97.668457%

Results

4.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	12	2
3	13	2
4	13	2

prune7.0ms

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: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x y) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity` `add-log-exp`
3×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

6.0ms

(+ (+ x y) x)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(+ (+ x y) x)

simplify97.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	82	65
1	241	60
2	854	58
3	4535	53
4	5002	53

prune18.0ms

Filtered

10 candidates to 18 candidates (-80.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x y) x)
0.0b	(+ (+ x y) x)
0.3b	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
38×	`sqrt-prod`
30×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`pow1`
16×	`swap-sqr`
13×	`add-log-exp`
12×	`sqrt-div`
11×	`add-cube-cbrt`
8×	`sqrt-pow1` `flip3-+` `pow1/2` `associate-r` `associate-l` `flip-+`
6×	`sum-log`
5×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+l+` `associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 99

Calls

3 calls:

5.0ms	(+ (+ x y) x)
5.0ms	(+ (+ x y) x)
14.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series17.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ (+ x y) x)
4.0ms	(+ (+ x y) x)
10.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify39.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	212	509
1	881	462
2	5001	448

prune63.0ms

Filtered

45 candidates to 108 candidates (-140.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	106	5	111

Merged error: 0.0b

Counts

111 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x y) x)
0.0b	(pow (+ (+ x y) x) 3)
39.1b	(cbrt (pow (+ (+ x y) x) 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
16×	`cbrt-prod`
15×	`distribute-lft-out`
10×	`unpow-prod-down` `cube-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `sum-log` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+l+` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 71

Calls

3 calls:

5.0ms	(+ (+ x y) x)
6.0ms	(pow (+ (+ x y) x) 3)
6.0ms	(cbrt (pow (+ (+ x y) x) 3))

series16.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ (+ x y) x)
7.0ms	(pow (+ (+ x y) x) 3)
6.0ms	(cbrt (pow (+ (+ x y) x) 3))

simplify38.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	246	366
1	1055	351
2	5001	341

prune63.0ms

Filtered

37 candidates to 80 candidates (-116.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	2	0	2
Picked	1	0	1
Done	2	0	2
Total	84	1	85

Merged error: 0b

Counts

85 → 1

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify4.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Merged error: 0b

Counts

1 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample432.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 97.668457%

Results

128.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

sample142.0ms

simplify6.0ms

prune7.0ms

localize3.0ms

rewrite6.0ms

series4.0ms

simplify97.0ms

prune18.0ms

localize5.0ms

rewrite29.0ms

series17.0ms

simplify39.0ms

prune63.0ms

localize7.0ms

rewrite19.0ms

series16.0ms

simplify38.0ms

prune63.0ms

localize7.0ms

rewrite0.0ms

series0.0ms

simplify4.0ms

prune3.0ms

simplify1.0ms

end0.0ms

sample432.0ms

Profiling