Details

sample227.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 42.865895%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

13.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (15.0ms)

Iter	Nodes	Cost
0	21	9
1	55	9
2	150	9
3	401	6
4	1088	5
5	2704	5
6	5001	5

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
0.1b	(* x.im (* x.re x.im))
0.2b	(* 3 (* x.im (* x.re x.im)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

8.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
4.0ms	(* x.im (* x.re x.im))
6.0ms	(* 3 (* x.im (* x.re x.im)))

series16.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
3.0ms	(* x.im (* x.re x.im))
4.0ms	(* 3 (* x.im (* x.re x.im)))

simplify33.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	209	290
1	846	250
2	5002	250

prune83.0ms

Filtered

32 candidates to 60 candidates (-87.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	54	8	62

Merged error: 0.0b

Counts

62 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
0.2b	(* (* 3 x.im) (* x.re x.im))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `associate-l` `*-commutative` `flip--`

Counts

2 → 34

Calls

2 calls:

7.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
6.0ms	(* (* 3 x.im) (* x.re x.im))

series13.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
4.0ms	(* (* 3 x.im) (* x.re x.im))

simplify37.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	193	231
1	907	198
2	5001	198

prune56.0ms

Filtered

20 candidates to 40 candidates (-100.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	40	8	48

Merged error: 0b

Counts

48 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
0.1b	(* (* (* 3 x.im) x.re) x.im)
0.2b	(* (* 3 x.im) x.re)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

9.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
6.0ms	(* (* (* 3 x.im) x.re) x.im)
5.0ms	(* (* 3 x.im) x.re)

series16.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
4.0ms	(* (* (* 3 x.im) x.re) x.im)
3.0ms	(* (* 3 x.im) x.re)

simplify47.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	230	290
1	1308	253
2	5001	253

prune66.0ms

Filtered

32 candidates to 60 candidates (-87.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	62	6	68

Merged error: 0b

Counts

68 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
0.1b	(* (* 3 (* x.im x.re)) x.im)
0.3b	(* 3 (* x.im x.re))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

7.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
6.0ms	(* (* 3 (* x.im x.re)) x.im)
4.0ms	(* 3 (* x.im x.re))

series16.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
4.0ms	(* (* 3 (* x.im x.re)) x.im)
3.0ms	(* 3 (* x.im x.re))

simplify45.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	225	290
1	1116	253
2	5001	253

prune51.0ms

Filtered

32 candidates to 60 candidates (-87.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	60	6	66

Merged error: 0b

Counts

66 → 6

regimes133.0ms

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	11	5
1	11	5

end0.0ms

sample702.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 42.865895%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

365.0ms	8000×	body	80	valid
9.0ms	211×	body	80	invalid

Details

sample227.0ms

simplify85.0ms

prune9.0ms

localize7.0ms

rewrite19.0ms

series16.0ms

simplify33.0ms

prune83.0ms

localize7.0ms

rewrite14.0ms

series13.0ms

simplify37.0ms

prune56.0ms

localize7.0ms

rewrite21.0ms

series16.0ms

simplify47.0ms

prune66.0ms

localize7.0ms

rewrite19.0ms

series16.0ms

simplify45.0ms

prune51.0ms

regimes133.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample702.0ms

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