Details

sample0.0hr

Algorithm

intervals

Results

0.0hr

436×

body

valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0hr)

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

prune0.0hr

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

localize0.0hr

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))

rewrite0.0hr

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:

0.0hr	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
0.0hr	(* 3 (* x.im (* x.re x.re)))
0.0hr	(* x.im (* x.re x.re))

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
0.0hr	(* 3 (* x.im (* x.re x.re)))
0.0hr	(* x.im (* x.re x.re))

simplify0.0hr

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (0.0hr)

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

prune0.0hr

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

localize0.0hr

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))

rewrite0.0hr

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:

0.0hr	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
0.0hr	(* (* x.im x.re) x.re)
0.0hr	(* 3 (* (* x.im x.re) x.re))

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
0.0hr	(* (* x.im x.re) x.re)
0.0hr	(* 3 (* (* x.im x.re) x.re))

simplify0.0hr

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (0.0hr)

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

prune0.0hr

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

localize0.0hr

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))

rewrite0.0hr

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:

0.0hr	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
0.0hr	(* (* 3 (* x.im x.re)) x.re)
0.0hr	(* 3 (* x.im x.re))

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
0.0hr	(* (* 3 (* x.im x.re)) x.re)
0.0hr	(* 3 (* x.im x.re))

simplify0.0hr

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (0.0hr)

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

prune0.0hr

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

localize0.0hr

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)

rewrite0.0hr

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:

0.0hr	(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
0.0hr	(* (* (* 3 x.im) x.re) x.re)
0.0hr	(* (* 3 x.im) x.re)

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(- (* (* (* 3 x.im) x.re) x.re) (pow x.im 3))
0.0hr	(* (* (* 3 x.im) x.re) x.re)
0.0hr	(* (* 3 x.im) x.re)

simplify0.0hr

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (0.0hr)

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

prune0.0hr

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

regimes0.0hr

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr

14426×

body

valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

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