Details

sample29.0ms

Algorithm

intervals

Results

17.0ms

501×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (17.0ms)

Iter	Nodes	Cost
0	21	9
1	55	9
2	150	9
3	401	6
4	1088	5
5	2704	5
6	5001	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: 0.2b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
0.2b	(* x.im (* x.re x.im))
0.2b	(* 3 (* x.im (* x.re x.im)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

8.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
8.0ms	(* x.im (* x.re x.im))
7.0ms	(* 3 (* x.im (* x.re x.im)))

series92.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
18.0ms	(* x.im (* x.re x.im))
21.0ms	(* 3 (* x.im (* x.re x.im)))

simplify36.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	209	292
1	846	253
2	5002	253

prune99.0ms

Filtered

60 candidates to 32 candidates (53.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	52	10	62

Merged error: 0.0b

Counts

62 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
0.3b	(* (* 3 x.im) (* x.re x.im))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `associate-l` `*-commutative` `flip--`

Counts

2 → 34

Calls

2 calls:

11.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
6.0ms	(* (* 3 x.im) (* x.re x.im))

series71.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
21.0ms	(* (* 3 x.im) (* x.re x.im))

simplify41.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	193	231
1	907	200
2	5001	200

prune62.0ms

Filtered

40 candidates to 20 candidates (50.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	41	9	50

Merged error: 0b

Counts

50 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
0.2b	(* (* (* 3 x.im) x.re) x.im)
0.2b	(* (* 3 x.im) 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×	`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:

8.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
6.0ms	(* (* (* 3 x.im) x.re) x.im)
5.0ms	(* (* 3 x.im) x.re)

series96.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
21.0ms	(* (* (* 3 x.im) x.re) x.im)
20.0ms	(* (* 3 x.im) x.re)

simplify48.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	230	290
1	1308	255
2	5001	255

prune90.0ms

Filtered

60 candidates to 33 candidates (55.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	60	9	69

Merged error: 0b

Counts

69 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
0.2b	(* (* 3 (* x.im x.re)) x.im)
0.2b	(* 3 (* x.im 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`
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:

8.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
6.0ms	(* (* 3 (* x.im x.re)) x.im)
5.0ms	(* 3 (* x.im x.re))

series95.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
21.0ms	(* (* 3 (* x.im x.re)) x.im)
19.0ms	(* 3 (* x.im x.re))

simplify45.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	225	290
1	1116	255
2	5001	255

prune75.0ms

Filtered

60 candidates to 32 candidates (53.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	60	9	69

Merged error: 0b

Counts

69 → 9

regimes60.0ms

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

sample731.0ms

Algorithm

intervals

Results

501.0ms

14253×

body

valid