Details

sample2.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.658691%

Guaranteed chance to sample good point: 45.674354%

Results

7.0ms	256×	body	80	valid
1.0ms	31×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	18	3

prune4.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

7.0ms

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

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify78.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	78
1	285	71
2	895	71
3	2136	71
4	5001	71

prune20.0ms

Filtered

12 candidates to 15 candidates (-25.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0.0b

Counts

16 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
0.8b	(cbrt (- (* x.re y.re) (* x.im y.im)))
0.8b	(cbrt (- (* x.re y.re) (* x.im y.im)))
0.8b	(cbrt (- (* x.re y.re) (* x.im y.im)))

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.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
3.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
3.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
3.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series166.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
39.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
38.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
40.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify104.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	309	1087
1	1095	1021
2	4525	951
3	5001	932

prune101.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Merged error: 0.0b

Counts

101 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (- (* x.re y.re) (* x.im y.im)))
0.8b	(cbrt (- (* x.re y.re) (* x.im y.im)))
0.8b	(cbrt (- (* x.re y.re) (* x.im y.im)))
0.9b	(pow (cbrt (cbrt (- (* x.re y.re) (* x.im y.im)))) 4)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

3.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
3.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
3.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
5.0ms	(pow (cbrt (cbrt (- (* x.re y.re) (* x.im y.im)))) 4)

series179.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
39.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
37.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
65.0ms	(pow (cbrt (cbrt (- (* x.re y.re) (* x.im y.im)))) 4)

simplify139.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	323	706
1	1037	664
2	4211	642
3	5001	636

prune107.0ms

Filtered

61 candidates to 75 candidates (-23.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	75	3	78

Merged error: 0.0b

Counts

78 → 3

regimes387.0ms

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	9	3
1	9	3

end0.0ms

sample2.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.658691%

Guaranteed chance to sample good point: 45.674354%

Results

227.0ms	8000×	body	80	valid
34.0ms	1133×	body	80	invalid

Details

sample2.1s

simplify4.0ms

prune4.0ms

localize6.0ms

rewrite8.0ms

series11.0ms

simplify78.0ms

prune20.0ms

localize9.0ms

rewrite21.0ms

series166.0ms

simplify104.0ms

prune101.0ms

localize16.0ms

rewrite16.0ms

series179.0ms

simplify139.0ms

prune107.0ms

regimes387.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.5s

Profiling