Details

analyze128.0ms

Algorithm: search

sample21.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
1.0ms	16×	body	80	invalid

simplify157.0ms

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: 6.3b

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)))
6.2b	(* 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))

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))

simplify149.0ms

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

prune83.0ms

Filtered

36 candidates to 61 candidates (-69.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	55	6	61
Fresh	1	0	1
Picked	0	1	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))

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))

series22.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(- (* 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))

simplify43.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (36.0ms)

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

prune70.0ms

Filtered

34 candidates to 60 candidates (-76.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	4	1	5
Picked	0	1	1
Done	1	0	1
Total	62	5	67

Merged error: 0b

Counts

67 → 5

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)
4.0ms	(* 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

prune61.0ms

Filtered

33 candidates to 60 candidates (-81.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	60	5	65

Merged error: 0b

Counts

65 → 5

localize9.0ms

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)
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)

simplify44.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (40.0ms)

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

prune53.0ms

Filtered

33 candidates to 60 candidates (-81.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	60	5	65

Merged error: 0b

Counts

65 → 5

regimes81.0ms

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

analyze125.0ms

Algorithm: search

sample691.0ms

Algorithm

intervals

Results

538.0ms	8000×	body	80	valid
27.0ms	568×	body	80	invalid

Details

analyze128.0ms

sample21.0ms

simplify157.0ms

prune8.0ms

localize7.0ms

rewrite21.0ms

series23.0ms

simplify149.0ms

prune83.0ms

localize7.0ms

rewrite20.0ms

series22.0ms

simplify43.0ms

prune70.0ms

localize7.0ms

rewrite19.0ms

series19.0ms

simplify44.0ms

prune61.0ms

localize9.0ms

rewrite19.0ms

series19.0ms

simplify44.0ms

prune53.0ms

regimes81.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze125.0ms

sample691.0ms

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