Details

sample127.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 43.804918%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

11.0ms

256×

body

valid

simplify278.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	13	7
1	23	6
2	35	4
3	45	4
4	54	4
5	87	4
6	156	4
7	206	4
8	219	4
9	314	4
10	644	4
11	3183	4
12	5001	4

prune6.0ms

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* y y)) (* x x))
0.2b	(* 3 (* y y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

5.0ms	(+ (* 3 (* y y)) (* x x))
5.0ms	(* 3 (* y y))

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* 3 (* y y)) (* x x))
3.0ms	(* 3 (* y y))

simplify74.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	164	163
1	658	146
2	2429	139
3	5003	139

prune45.0ms

Filtered

23 candidates to 36 candidates (-56.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 y) y) (* x x))
0.2b	(* (* 3 y) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ (* (* 3 y) y) (* x x))
5.0ms	(* (* 3 y) y)

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* (* 3 y) y) (* x x))
3.0ms	(* (* 3 y) y)

simplify121.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	173	165
1	854	145
2	4082	139
3	5001	138

prune38.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	34	5	39

Merged error: 0.0b

Counts

39 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))
0.3b	(* (* (sqrt 3) y) (* (sqrt 3) y))
0.4b	(* (sqrt 3) y)
0.4b	(* (sqrt 3) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
18×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
7×	`associate-r`
6×	`add-log-exp`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`+-commutative` `pow2` `flip3-+` `swap-sqr` `sum-log` `flip-+`

Counts

4 → 89

Calls

4 calls:

8.0ms	(+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))
8.0ms	(* (* (sqrt 3) y) (* (sqrt 3) y))
4.0ms	(* (sqrt 3) y)
5.0ms	(* (sqrt 3) y)

series25.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* (* (sqrt 3) y) (* (sqrt 3) y)) (* x x))
6.0ms	(* (* (sqrt 3) y) (* (sqrt 3) y))
4.0ms	(* (sqrt 3) y)
4.0ms	(* (sqrt 3) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	215	450
1	1084	352
2	5002	351

prune105.0ms

Filtered

53 candidates to 101 candidates (-90.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	101	5	106

Merged error: 0.0b

Counts

106 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series90.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt y) (cbrt y))
23.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify76.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune67.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

regimes156.0ms

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	9	4
1	9	4

end0.0ms

sample465.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 43.804918%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

233.0ms	8000×	body	80	valid
0.0ms	9×	body	80	invalid

Details

sample127.0ms

simplify278.0ms

prune6.0ms

localize5.0ms

rewrite11.0ms

series9.0ms

simplify74.0ms

prune45.0ms

localize5.0ms

rewrite10.0ms

series9.0ms

simplify121.0ms

prune38.0ms

localize6.0ms

rewrite27.0ms

series25.0ms

simplify41.0ms

prune105.0ms

localize11.0ms

rewrite11.0ms

series90.0ms

simplify76.0ms

prune67.0ms

regimes156.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample465.0ms

Profiling