Details

sample8.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 13.916016%

Guaranteed chance to sample good point: 63.925128%

Results

6.0ms	256×	body	80	valid
1.0ms	37×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

prune3.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

3.0ms

(+ (* x.re y.im) (* x.im y.re))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(+ (* x.re y.im) (* x.im y.re))

simplify115.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	100	74
1	363	67
2	1051	67
3	2931	67
4	5001	67

prune25.0ms

Filtered

12 candidates to 14 candidates (-16.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0b

Counts

15 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
2.1b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.1b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
2.1b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

10.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
3.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series151.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
34.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
36.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
34.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify96.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	312	1087
1	1063	1022
2	4259	952
3	5001	933

prune98.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y.re x.im) (* y.im x.re))
0.3b	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
35.9b	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 59

Calls

3 calls:

3.0ms	(+ (* y.re x.im) (* y.im x.re))
4.0ms	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
6.0ms	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

series50.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (* y.re x.im) (* y.im x.re))
31.0ms	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
9.0ms	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

simplify45.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	258	431
1	1250	408
2	5001	402

prune60.0ms

Filtered

41 candidates to 68 candidates (-65.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	68	3	71

Merged error: 0b

Counts

71 → 3

regimes364.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample8.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 13.916016%

Guaranteed chance to sample good point: 63.925128%

Results

210.0ms	8000×	body	80	valid
27.0ms	944×	body	80	invalid

Details

sample8.1s

simplify3.0ms

prune3.0ms

localize5.0ms

rewrite3.0ms

series10.0ms

simplify115.0ms

prune25.0ms

localize9.0ms

rewrite21.0ms

series151.0ms

simplify96.0ms

prune98.0ms

localize9.0ms

rewrite15.0ms

series50.0ms

simplify45.0ms

prune60.0ms

regimes364.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample8.8s

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