Details

sample253.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 42.865895%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

15.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify154.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	113	9
3	277	5
4	705	5
5	1571	5
6	4493	5
7	5002	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: 7.1b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
0.1b	(* 3 (* x.im (* x.re x.re)))
7.4b	(* x.im (* x.re 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×	`add-sqr-sqrt` `associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

8.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
6.0ms	(* 3 (* x.im (* x.re x.re)))
5.0ms	(* x.im (* x.re x.re))

series22.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
7.0ms	(* 3 (* x.im (* x.re x.re)))
6.0ms	(* x.im (* x.re x.re))

simplify150.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	205	301
1	835	256
2	4608	252
3	5002	252

prune78.0ms

Filtered

36 candidates to 61 candidates (-69.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	57	4	61
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	58	5	63

Merged error: 0.0b

Counts

63 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
0.1b	(* (* x.im x.re) x.re)
0.1b	(* 3 (* (* x.im x.re) 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	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
4.0ms	(* (* x.im x.re) x.re)
6.0ms	(* 3 (* (* x.im x.re) x.re))

series22.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
6.0ms	(* (* x.im x.re) x.re)
7.0ms	(* 3 (* (* x.im x.re) x.re))

simplify42.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	218	293
1	1110	254
2	5002	251

prune73.0ms

Filtered

34 candidates to 60 candidates (-76.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	58	7	65

Merged error: 0.0b

Counts

65 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
0.1b	(* (* 3 (* x.im x.re)) x.re)
0.2b	(* 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	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
6.0ms	(* (* 3 (* x.im x.re)) x.re)
4.0ms	(* 3 (* x.im x.re))

series19.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
7.0ms	(* (* 3 (* x.im x.re)) x.re)
3.0ms	(* 3 (* x.im x.re))

simplify43.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	218	289
1	1116	254
2	5001	251

prune71.0ms

Filtered

33 candidates to 60 candidates (-81.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	61	6	67

Merged error: 0.0b

Counts

67 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
0.1b	(* (* (* 3 x.im) x.re) x.re)
0.1b	(* (* 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`
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	(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
6.0ms	(* (* (* 3 x.im) x.re) x.re)
5.0ms	(* (* 3 x.im) x.re)

series19.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
7.0ms	(* (* (* 3 x.im) x.re) x.re)
4.0ms	(* (* 3 x.im) x.re)

simplify46.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	220	291
1	1258	254
2	5001	251

prune55.0ms

Filtered

34 candidates to 60 candidates (-76.5%)

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

regimes139.0ms

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

sample755.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 42.865895%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

384.0ms	8000×	body	80	valid
14.0ms	242×	body	80	invalid

Details

sample253.0ms

simplify154.0ms

prune9.0ms

localize7.0ms

rewrite20.0ms

series22.0ms

simplify150.0ms

prune78.0ms

localize7.0ms

rewrite19.0ms

series22.0ms

simplify42.0ms

prune73.0ms

localize7.0ms

rewrite19.0ms

series19.0ms

simplify43.0ms

prune71.0ms

localize7.0ms

rewrite19.0ms

series19.0ms

simplify46.0ms

prune55.0ms

regimes139.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample755.0ms

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