Details

sample32.0ms

Algorithm

intervals

Results

22.0ms

458×

body

valid

simplify88.0ms

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

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.2b

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))))
0.2b	(* 3 (* x.im (* x.re x.im)))
0.2b	(* 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))))
6.0ms	(* 3 (* x.im (* x.re x.im)))
5.0ms	(* x.im (* x.re x.im))

series89.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
23.0ms	(* 3 (* x.im (* x.re x.im)))
17.0ms	(* x.im (* x.re x.im))

simplify35.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

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

prune92.0ms

Filtered

60 candidates to 32 candidates (53.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	1	0	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))

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:

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

series73.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
20.0ms	(* (* 3 x.im) (* x.re x.im))

simplify41.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (8.0ms)

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

prune56.0ms

Filtered

40 candidates to 20 candidates (50.0%)

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: 0.0b

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))
0.2b	(* (* (* 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:

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)

series89.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
22.0ms	(* (* (* 3 x.im) x.re) x.im)
19.0ms	(* (* 3 x.im) x.re)

simplify48.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

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

prune83.0ms

Filtered

60 candidates to 32 candidates (53.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	61	7	68

Merged error: 0.0b

Counts

68 → 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)
0.3b	(* 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:

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))

series92.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
20.0ms	(* (* 3 (* x.im x.re)) x.im)
19.0ms	(* 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

prune65.0ms

Filtered

60 candidates to 32 candidates (53.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	60	7	67

Merged error: 0.0b

Counts

67 → 7

regimes47.0ms

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

sample853.0ms

Algorithm

intervals

Results

637.0ms

14446×

body

valid

Details

sample32.0ms

simplify88.0ms

prune6.0ms

localize8.0ms

rewrite20.0ms

series89.0ms

simplify35.0ms

prune92.0ms

localize7.0ms

rewrite15.0ms

series73.0ms

simplify41.0ms

prune56.0ms

localize7.0ms

rewrite21.0ms

series89.0ms

simplify48.0ms

prune83.0ms

localize7.0ms

rewrite20.0ms

series92.0ms

simplify46.0ms

prune65.0ms

regimes47.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample853.0ms

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