Details

sample32.0ms

Algorithm

intervals

Results

20.0ms

457×

body

valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (16.0ms)

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: 0.1b

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

rewrite23.0ms

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))))
5.0ms	(* x.im (* x.re x.im))
9.0ms	(* 3 (* x.im (* x.re x.im)))

series91.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
17.0ms	(* x.im (* x.re x.im))
21.0ms	(* 3 (* x.im (* x.re x.im)))

simplify39.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

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

prune90.0ms

Filtered

60 candidates to 32 candidates (53.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	1	0	1
Picked	0	1	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))

rewrite18.0ms

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:

10.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
6.0ms	(* (* 3 x.im) (* x.re x.im))

series71.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
21.0ms	(* (* 3 x.im) (* x.re x.im))

simplify44.0ms

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

40 candidates to 19 candidates (47.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	40	8	48

Merged error: 0.0b

Counts

48 → 8

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)

rewrite24.0ms

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

series94.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
21.0ms	(* (* (* 3 x.im) x.re) x.im)
19.0ms	(* (* 3 x.im) x.re)

simplify49.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

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

prune85.0ms

Filtered

60 candidates to 33 candidates (55.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	59	9	68

Merged error: 0.0b

Counts

68 → 9

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))

rewrite23.0ms

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:

11.0ms	(- (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))

series94.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
21.0ms	(* (* 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 (9.0ms)

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

prune69.0ms

Filtered

60 candidates to 32 candidates (53.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	60	9	69

Merged error: 0.0b

Counts

69 → 9

regimes60.0ms

Accuracy

0% (0.2b 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

sample903.0ms

Algorithm

intervals

Results

662.0ms

14474×

body

valid

Details

sample32.0ms

simplify86.0ms

prune6.0ms

localize7.0ms

rewrite23.0ms

series91.0ms

simplify39.0ms

prune90.0ms

localize7.0ms

rewrite18.0ms

series71.0ms

simplify44.0ms

prune54.0ms

localize8.0ms

rewrite24.0ms

series94.0ms

simplify49.0ms

prune85.0ms

localize7.0ms

rewrite23.0ms

series94.0ms

simplify48.0ms

prune69.0ms

regimes60.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample903.0ms

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