Details

sample104.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 79.037476%

Guaranteed chance to sample good point: 95.719901%

Results

11.0ms	256×	body	80	valid
5.0ms	120×	body	80	invalid

simplify155.0ms

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: 10.4b

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)))
10.8b	(* 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:

7.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
10.0ms	(* 3 (* x.im (* x.re x.re)))
5.0ms	(* 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))
7.0ms	(* 3 (* x.im (* x.re x.re)))
6.0ms	(* x.im (* x.re x.re))

simplify148.0ms

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

prune85.0ms

Filtered

36 candidates to 61 candidates (-69.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	56	5	61
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	57	6	63

Merged error: 0.0b

Counts

63 → 6

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))

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))

simplify42.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (37.0ms)

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

prune77.0ms

Filtered

34 candidates to 60 candidates (-76.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	59	7	66

Merged error: 0b

Counts

66 → 7

localize9.0ms

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))

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)
4.0ms	(* 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 (39.0ms)

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

prune74.0ms

Filtered

34 candidates to 60 candidates (-76.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	60	7	67

Merged error: 0b

Counts

67 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re))) (pow x.im 3))
0.1b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re)))
0.2b	(* (* x.im x.re) x.re)
0.3b	(* (cbrt 3) (* (* x.im x.re) x.re))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1` `add-exp-log`
33×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
8×	`associate-l`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-r`
3×	`cbrt-prod` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 88

Calls

4 calls:

13.0ms	(- (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re))) (pow x.im 3))
13.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re)))
5.0ms	(* (* x.im x.re) x.re)
9.0ms	(* (cbrt 3) (* (* x.im x.re) x.re))

series40.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re))) (pow x.im 3))
12.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re)))
6.0ms	(* (* x.im x.re) x.re)
10.0ms	(* (cbrt 3) (* (* x.im x.re) x.re))

simplify62.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	334	787
1	1688	594
2	5001	531

prune119.0ms

Filtered

50 candidates to 100 candidates (-100.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	100	7	107

Merged error: 0b

Counts

107 → 7

regimes144.0ms

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

sample896.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 79.037476%

Guaranteed chance to sample good point: 95.719901%

Results

364.0ms	8000×	body	80	valid
179.0ms	4064×	body	80	invalid

Details

sample104.0ms

simplify155.0ms

prune8.0ms

localize7.0ms

rewrite24.0ms

series22.0ms

simplify148.0ms

prune85.0ms

localize7.0ms

rewrite19.0ms

series22.0ms

simplify42.0ms

prune77.0ms

localize9.0ms

rewrite19.0ms

series19.0ms

simplify44.0ms

prune74.0ms

localize10.0ms

rewrite42.0ms

series40.0ms

simplify62.0ms

prune119.0ms

regimes144.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample896.0ms

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