Details

sample26.0ms

Algorithm

intervals

Results

15.0ms

439×

body

valid

simplify147.0ms

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: 7.4b

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)))
7.4b	(* 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))
7.0ms	(* 3 (* x.im (* x.re x.re)))
8.0ms	(* x.im (* x.re x.re))

series116.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
31.0ms	(* 3 (* x.im (* x.re x.re)))
29.0ms	(* x.im (* x.re x.re))

simplify148.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (27.0ms)

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

prune107.0ms

Filtered

61 candidates to 36 candidates (59.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	53	8	61
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	54	9	63

Merged error: 0.1b

Counts

63 → 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	(* (* 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))

series116.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (* 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))

simplify46.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (37.0ms)

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

prune91.0ms

Filtered

60 candidates to 34 candidates (56.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	60	9	69

Merged error: 0.0b

Counts

69 → 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))

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))

series112.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
33.0ms	(* (* 3 (* x.im x.re)) x.re)
23.0ms	(* 3 (* x.im x.re))

simplify45.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (40.0ms)

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

prune84.0ms

Filtered

60 candidates to 33 candidates (55.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	60	9	69

Merged error: 0.0b

Counts

69 → 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)
0.2b	(* (* 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)

series112.0ms

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)
24.0ms	(* (* 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

prune71.0ms

Filtered

60 candidates to 33 candidates (55.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	60	9	69

Merged error: 0.0b

Counts

69 → 9

regimes84.0ms

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

sample717.0ms

Algorithm

intervals

Results

506.0ms

14215×

body

valid