Details

sample522.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 43.75%

Guaranteed chance to sample good point: 96.896701%

Results

7.0ms

256×

body

valid

simplify272.0ms

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))

series11.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* 3 (* y y)) (* x x))
3.0ms	(* 3 (* y y))

simplify78.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (19.0ms)

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

prune52.0ms

Filtered

23 candidates to 36 candidates (-56.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

localize6.0ms

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)

simplify124.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	173	161
1	854	144
2	4082	139
3	5001	138

prune44.0ms

Filtered

22 candidates to 35 candidates (-59.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	34	6	40

Merged error: 0.0b

Counts

40 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
0.1b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.3b	(* (cbrt 3) (* y y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

12.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
12.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
6.0ms	(* (cbrt 3) (* y y))

series24.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
9.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
5.0ms	(* (cbrt 3) (* y y))

simplify44.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	263	553
1	1076	421
2	5001	365

prune94.0ms

Filtered

38 candidates to 71 candidates (-86.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	72	5	77

Merged error: 0.0b

Counts

77 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))
0.1b	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))
0.2b	(* (* (cbrt 3) y) y)
0.3b	(* (cbrt 3) y)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

13.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))
11.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))
5.0ms	(* (* (cbrt 3) y) y)
4.0ms	(* (cbrt 3) y)

series28.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y)) (* x x))
9.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt 3) y) y))
5.0ms	(* (* (cbrt 3) y) y)
4.0ms	(* (cbrt 3) y)

simplify52.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	304	633
1	1584	536
2	5001	433

prune109.0ms

Filtered

50 candidates to 91 candidates (-82.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	91	5	96

Merged error: 0.0b

Counts

96 → 5

regimes195.0ms

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

sample943.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 43.75%

Guaranteed chance to sample good point: 96.896701%

Results

228.0ms	8000×	body	80	valid
0.0ms	8×	body	80	invalid

Details

sample522.0ms

simplify272.0ms

prune6.0ms

localize5.0ms

rewrite11.0ms

series11.0ms

simplify78.0ms

prune52.0ms

localize6.0ms

rewrite10.0ms

series9.0ms

simplify124.0ms

prune44.0ms

localize9.0ms

rewrite32.0ms

series24.0ms

simplify44.0ms

prune94.0ms

localize9.0ms

rewrite36.0ms

series28.0ms

simplify52.0ms

prune109.0ms

regimes195.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample943.0ms

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