Details

sample34.0ms

Algorithm

intervals

Results

22.0ms

500×

body

valid

simplify155.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

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: 7.1b

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)))
7.3b	(* x.im (* x.re x.re))

rewrite24.0ms

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))

series117.0ms

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)))
30.0ms	(* x.im (* x.re x.re))

simplify153.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (29.0ms)

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

prune110.0ms

Filtered

61 candidates to 36 candidates (59.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	54	7	61
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	55	8	63

Merged error: 0.0b

Counts

63 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

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

series117.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
29.0ms	(* (* x.im x.re) x.re)
36.0ms	(* 3 (* (* x.im x.re) x.re))

simplify45.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (37.0ms)

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

prune90.0ms

Filtered

60 candidates to 34 candidates (56.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	61	7	68

Merged error: 0.0b

Counts

68 → 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	(* (* 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))

series109.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (* (* 3 (* x.im x.re)) x.re) (pow x.im 3))
33.0ms	(* (* 3 (* x.im x.re)) x.re)
22.0ms	(* 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

prune88.0ms

Filtered

60 candidates to 33 candidates (55.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	59	8	67

Merged error: 0b

Counts

67 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* 3 x.im) (* x.re x.re)) (pow x.im 3))
7.3b	(* (* 3 x.im) (* x.re x.re))

rewrite16.0ms

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:

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

series88.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- (* (* 3 x.im) (* x.re x.re)) (pow x.im 3))
36.0ms	(* (* 3 x.im) (* x.re x.re))

simplify164.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	185	230
1	793	197
2	4913	194
3	5001	194

prune47.0ms

Filtered

40 candidates to 21 candidates (52.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	40	8	48

Merged error: 0b

Counts

48 → 8

regimes82.0ms

Accuracy

0% (0.1b 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

sample867.0ms

Algorithm

intervals

Results

646.0ms

14196×

body

valid

Details

sample34.0ms

simplify155.0ms

prune6.0ms

localize7.0ms

rewrite24.0ms

series117.0ms

simplify153.0ms

prune110.0ms

localize7.0ms

rewrite19.0ms

series117.0ms

simplify45.0ms

prune90.0ms

localize7.0ms

rewrite19.0ms

series109.0ms

simplify45.0ms

prune88.0ms

localize7.0ms

rewrite16.0ms

series88.0ms

simplify164.0ms

prune47.0ms

regimes82.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample867.0ms

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