Details

sample660.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 42.810059%

Guaranteed chance to sample good point: 95.47492%

Results

12.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (17.0ms)

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

localize8.0ms

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)))

rewrite20.0ms

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)))

series17.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify37.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

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

prune76.0ms

Filtered

32 candidates to 60 candidates (-87.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	57	5	62

Merged error: 0.0b

Counts

62 → 5

localize8.0ms

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))

rewrite15.0ms

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))

simplify39.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (7.0ms)

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

prune48.0ms

Filtered

19 candidates to 40 candidates (-110.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	39	6	45

Merged error: 0.0b

Counts

45 → 6

localize8.0ms

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)

rewrite20.0ms

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:

8.0ms	(- (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)

series17.0ms

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

simplify52.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

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

prune65.0ms

Filtered

32 candidates to 60 candidates (-87.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	60	6	66

Merged error: 0.0b

Counts

66 → 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)
0.2b	(* 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:

8.0ms	(- (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))

series17.0ms

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))

simplify46.0ms

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 (2 fresh and 4 done)

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

Merged error: 0.0b

Counts

66 → 6

regimes94.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 42.810059%

Guaranteed chance to sample good point: 95.47492%

Results

383.0ms	8000×	body	80	valid
12.0ms	267×	body	80	invalid

Details

sample660.0ms

simplify90.0ms

prune9.0ms

localize8.0ms

rewrite20.0ms

series17.0ms

simplify37.0ms

prune76.0ms

localize8.0ms

rewrite15.0ms

series13.0ms

simplify39.0ms

prune48.0ms

localize8.0ms

rewrite20.0ms

series17.0ms

simplify52.0ms

prune65.0ms

localize7.0ms

rewrite20.0ms

series17.0ms

simplify46.0ms

prune52.0ms

regimes94.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling