Details

sample29.0ms

Algorithm

intervals

Results

19.0ms

446×

body

valid

simplify157.0ms

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

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: 8.6b

Counts

2 → 2

localize10.0ms

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)))
8.9b	(* x.im (* x.re 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×	`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))
7.0ms	(* 3 (* x.im (* x.re x.re)))
5.0ms	(* x.im (* x.re x.re))

series120.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
38.0ms	(* 3 (* x.im (* x.re x.re)))
30.0ms	(* x.im (* x.re x.re))

simplify151.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (28.0ms)

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

prune109.0ms

Filtered

61 candidates to 36 candidates (59.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	54	7	61
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	55	8	63

Merged error: 0.1b

Counts

63 → 8

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

series123.0ms

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)
37.0ms	(* 3 (* (* x.im x.re) x.re))

simplify41.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (36.0ms)

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

prune94.0ms

Filtered

60 candidates to 34 candidates (56.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	59	9	68

Merged error: 0.0b

Counts

68 → 9

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))

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

series114.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
33.0ms	(* (* 3 (* x.im x.re)) x.re)
24.0ms	(* 3 (* x.im x.re))

simplify44.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (39.0ms)

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

prune89.0ms

Filtered

60 candidates to 33 candidates (55.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	59	10	69

Merged error: 0.0b

Counts

69 → 10

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)
0.2b	(* (* 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:

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)

series116.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
34.0ms	(* (* (* 3 x.im) x.re) x.re)
24.0ms	(* (* 3 x.im) x.re)

simplify47.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (43.0ms)

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

prune75.0ms

Filtered

60 candidates to 33 candidates (55.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	60	10	70

Merged error: 0.0b

Counts

70 → 10

regimes93.0ms

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

sample837.0ms

Algorithm

intervals

Results

623.0ms

14361×

body

valid

Details

sample29.0ms

simplify157.0ms

prune6.0ms

localize10.0ms

rewrite21.0ms

series120.0ms

simplify151.0ms

prune109.0ms

localize7.0ms

rewrite20.0ms

series123.0ms

simplify41.0ms

prune94.0ms

localize7.0ms

rewrite20.0ms

series114.0ms

simplify44.0ms

prune89.0ms

localize7.0ms

rewrite20.0ms

series116.0ms

simplify47.0ms

prune75.0ms

regimes93.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample837.0ms

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