Details

analyze87.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 24.292737%

Guaranteed chance to sample good point: 97.42268%

sample11.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	2
1	9	2
2	9	2

prune2.0ms

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: 0.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x y) y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (* x y) y)

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (* x y) y)

simplify54.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	95	72
1	466	57
2	2085	57
3	5001	56

prune32.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Merged error: 0.0b

Counts

22 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
19.1b	(cbrt (* (* x y) y))
19.1b	(cbrt (* (* x y) y))
19.1b	(cbrt (* (* x y) y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

10.0ms	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
6.0ms	(cbrt (* (* x y) y))
7.0ms	(cbrt (* (* x y) y))
5.0ms	(cbrt (* (* x y) y))

series97.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
21.0ms	(cbrt (* (* x y) y))
23.0ms	(cbrt (* (* x y) y))
27.0ms	(cbrt (* (* x y) y))

simplify95.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	201	457
1	651	406
2	3270	349
3	5001	324

prune83.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	67	9	76

Merged error: 0.0b

Counts

76 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
8.8b	(cbrt (* x y))
19.1b	(cbrt (* (* x y) y))
19.1b	(cbrt (* (* x y) y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 38

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt (* x y))
3.0ms	(cbrt (* (* x y) y))
4.0ms	(cbrt (* (* x y) y))

series78.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
15.0ms	(cbrt (* x y))
21.0ms	(cbrt (* (* x y) y))
21.0ms	(cbrt (* (* x y) y))

simplify79.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 4 (75.0ms)

Iter	Nodes	Cost
0	171	254
1	370	229
2	1060	196
3	3018	175
4	5001	174

prune67.0ms

Filtered

38 candidates to 50 candidates (-31.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	50	9	59

Merged error: 0.0b

Counts

59 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
8.8b	(cbrt (* x y))
8.8b	(cbrt (* x y))
19.1b	(cbrt (* (* x y) y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 38

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt (* x y))
2.0ms	(cbrt (* x y))
3.0ms	(cbrt (* (* x y) y))

series74.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
14.0ms	(cbrt (* x y))
16.0ms	(cbrt (* x y))
21.0ms	(cbrt (* (* x y) y))

simplify80.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 4 (76.0ms)

Iter	Nodes	Cost
0	171	238
1	370	213
2	1060	181
3	3018	161
4	5001	159

prune52.0ms

Filtered

38 candidates to 50 candidates (-31.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	1	4	5
Picked	0	1	1
Done	0	3	3
Total	49	10	59

Merged error: 0.0b

Counts

59 → 10

regimes172.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

analyze84.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 24.292737%

Guaranteed chance to sample good point: 97.42268%

sample276.0ms

Algorithm

intervals

Results

152.0ms	8000×	body	80	valid
2.0ms	97×	body	80	invalid

Details

analyze87.0ms

sample11.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite5.0ms

series7.0ms

simplify54.0ms

prune32.0ms

localize7.0ms

rewrite30.0ms

series97.0ms

simplify95.0ms

prune83.0ms

localize11.0ms

rewrite11.0ms

series78.0ms

simplify79.0ms

prune67.0ms

localize12.0ms

rewrite10.0ms

series74.0ms

simplify80.0ms

prune52.0ms

regimes172.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze84.0ms

sample276.0ms

Profiling