Details

sample38.0ms

Algorithm

intervals

Results

24.0ms

436×

body

valid

simplify153.0ms

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

prune8.0ms

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: 6.1b

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))
0.2b	(* 3 (* x.im (* x.re x.re)))
6.7b	(* 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:

7.0ms	(- (* 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))

series23.0ms

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

simplify146.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (26.0ms)

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

prune85.0ms

Filtered

61 candidates to 36 candidates (41.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	55	6	61
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	56	7	63

Merged error: 0.0b

Counts

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

series24.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(- (* 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))

simplify40.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (35.0ms)

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

prune76.0ms

Filtered

60 candidates to 34 candidates (43.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	59	8	67

Merged error: 0b

Counts

67 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
0.1b	(* (* 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)
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)
3.0ms	(* 3 (* x.im x.re))

simplify45.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (39.0ms)

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

prune73.0ms

Filtered

60 candidates to 33 candidates (45.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	60	8	68

Merged error: 0b

Counts

68 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (42.0ms)

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

prune55.0ms

Filtered

60 candidates to 33 candidates (45.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	60	8	68

Merged error: 0b

Counts

68 → 8

regimes153.0ms

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

sample1.0s

Algorithm

intervals

Results

667.0ms

14426×

body

valid

Details

sample38.0ms

simplify153.0ms

prune8.0ms

localize7.0ms

rewrite20.0ms

series23.0ms

simplify146.0ms

prune85.0ms

localize7.0ms

rewrite19.0ms

series24.0ms

simplify40.0ms

prune76.0ms

localize7.0ms

rewrite19.0ms

series19.0ms

simplify45.0ms

prune73.0ms

localize7.0ms

rewrite19.0ms

series19.0ms

simplify47.0ms

prune55.0ms

regimes153.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

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