Details

sample37.0ms

Algorithm

intervals

Results

20.0ms

471×

body

valid

simplify158.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

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

prune11.0ms

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: 5.6b

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)))
6.0b	(* x.im (* x.re x.re))

rewrite25.0ms

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))
10.0ms	(* 3 (* x.im (* x.re x.re)))
5.0ms	(* x.im (* x.re x.re))

series119.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
33.0ms	(* 3 (* x.im (* x.re x.re)))
31.0ms	(* x.im (* x.re x.re))

simplify154.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	205	293
1	839	254
2	4612	251
3	5001	251

prune160.0ms

Filtered

61 candidates to 36 candidates (59.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	57	6	63

Merged error: 0.0b

Counts

63 → 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	(* (* x.im x.re) x.re)
0.1b	(* 3 (* (* 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`
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))
5.0ms	(* (* x.im x.re) x.re)
7.0ms	(* 3 (* (* x.im x.re) x.re))

series122.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
29.0ms	(* (* x.im x.re) x.re)
36.0ms	(* 3 (* (* x.im x.re) x.re))

simplify43.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (39.0ms)

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

prune143.0ms

Filtered

60 candidates to 34 candidates (56.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	62	4	66

Merged error: 0.0b

Counts

66 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
0.2b	(* (* 3 (* x.im x.re)) x.re)
0.3b	(* 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)
5.0ms	(* 3 (* x.im x.re))

series111.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
36.0ms	(* (* 3 (* x.im x.re)) x.re)
21.0ms	(* 3 (* x.im x.re))

simplify46.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (41.0ms)

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

prune131.0ms

Filtered

60 candidates to 33 candidates (55.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	60	4	64

Merged error: 0.0b

Counts

64 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* 3 x.im) (* x.re x.re)) (pow x.im 3))
6.1b	(* (* 3 x.im) (* x.re x.re))

rewrite16.0ms

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

series88.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- (* (* 3 x.im) (* x.re x.re)) (pow x.im 3))
33.0ms	(* (* 3 x.im) (* x.re x.re))

simplify169.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	185	230
1	793	197
2	4913	194
3	5001	194

prune79.0ms

Filtered

40 candidates to 21 candidates (52.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	40	4	44

Merged error: 0.0b

Counts

44 → 4

regimes80.0ms

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

sample1.0s

Algorithm

intervals

Results

644.0ms

14645×

body

valid

Details

sample37.0ms

simplify158.0ms

prune11.0ms

localize7.0ms

rewrite25.0ms

series119.0ms

simplify154.0ms

prune160.0ms

localize7.0ms

rewrite20.0ms

series122.0ms

simplify43.0ms

prune143.0ms

localize7.0ms

rewrite19.0ms

series111.0ms

simplify46.0ms

prune131.0ms

localize7.0ms

rewrite16.0ms

series88.0ms

simplify169.0ms

prune79.0ms

regimes80.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

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