Details

sample138.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 63.07373%

Guaranteed chance to sample good point: 97.206612%

Results

16.0ms	256×	body	80	valid
4.0ms	82×	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

prune8.0ms

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))))
0.2b	(* 3 (* x.im (* x.re x.im)))
0.2b	(* 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:

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

simplify34.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	209	290
1	846	250
2	5001	250

prune86.0ms

Filtered

32 candidates to 60 candidates (-87.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	53	9	62

Merged error: 0.0b

Counts

62 → 9

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))

simplify36.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (7.0ms)

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

prune54.0ms

Filtered

20 candidates to 40 candidates (-100.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	42	7	49

Merged error: 0.0b

Counts

49 → 7

localize7.0ms

Local error

Found 3 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)
0.2b	(* (* 3 x.im) x.re)

rewrite22.0ms

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:

7.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
8.0ms	(* (* (* 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 (8.0ms)

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

prune71.0ms

Filtered

32 candidates to 60 candidates (-87.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	61	6	67

Merged error: 0.0b

Counts

67 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
0.2b	(* (* 3 (* x.im x.re)) x.im)
0.3b	(* 3 (* x.im x.re))

rewrite20.0ms

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)
5.0ms	(* 3 (* x.im x.re))

series18.0ms

Counts

3 → 9

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)
3.0ms	(* 3 (* x.im x.re))

simplify44.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

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

prune52.0ms

Filtered

31 candidates to 60 candidates (-93.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	60	6	66

Merged error: 0.0b

Counts

66 → 6

regimes87.0ms

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

sample847.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 63.07373%

Guaranteed chance to sample good point: 97.206612%

Results

366.0ms	8000×	body	80	valid
121.0ms	2598×	body	80	invalid

Details

sample138.0ms

simplify85.0ms

prune8.0ms

localize7.0ms

rewrite19.0ms

series16.0ms

simplify34.0ms

prune86.0ms

localize7.0ms

rewrite14.0ms

series13.0ms

simplify36.0ms

prune54.0ms

localize7.0ms

rewrite22.0ms

series16.0ms

simplify47.0ms

prune71.0ms

localize7.0ms

rewrite20.0ms

series18.0ms

simplify44.0ms

prune52.0ms

regimes87.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample847.0ms

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