Details

analyze1.4s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 14.071842%

Guaranteed chance to sample good point: 63.916064%

sample19.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	32×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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:

3.0ms

(- (* 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))

simplify77.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (3.0ms)

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

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
1.7b	(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
2.4b	(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
36.7b	(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`times-frac`
20×	`difference-of-squares` `sqr-pow`
19×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `associate-/l*`
8×	`add-log-exp`
5×	`difference-cubes` `distribute-lft-out--`
3×	`flip3-+` `associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod` `flip-+`
2×	`distribute-rgt-in` `associate-+l+` `flip3--` `distribute-lft-in` `associate-*r/` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 109

Calls

4 calls:

15.0ms	(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
12.0ms	(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
13.0ms	(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
29.0ms	(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))

series143.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
15.0ms	(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
47.0ms	(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
56.0ms	(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))

simplify130.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	554	1992
1	3250	1869
2	5003	1864

prune186.0ms

Filtered

92 candidates to 121 candidates (-31.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	120	3	123

Merged error: 0.0b

Counts

123 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
24.9b	(sqrt (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))
24.9b	(sqrt (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))
25.8b	(/ (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))) (sqrt (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
14×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`sqrt-div` `associate-/r*`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`sqrt-pow1` `pow1/2` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`rem-sqrt-square` `associate-*r/` `associate-/r/` `associate-/l/` `pow-div`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 97

Calls

4 calls:

7.0ms	(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
8.0ms	(sqrt (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))
8.0ms	(sqrt (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))
19.0ms	(/ (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))) (sqrt (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))))

series129.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
37.0ms	(sqrt (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))
37.0ms	(sqrt (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))
40.0ms	(/ (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))) (sqrt (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	377	1991
1	2111	1711
2	5002	1699

prune111.0ms

Filtered

77 candidates to 109 candidates (-41.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	109	3	112

Merged error: 0.0b

Counts

112 → 3

regimes373.0ms

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

analyze1.1s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 14.071842%

Guaranteed chance to sample good point: 63.916064%

sample475.0ms

Algorithm

intervals

Results

222.0ms	8000×	body	80	valid
26.0ms	1019×	body	80	invalid

Details

analyze1.4s

sample19.0ms

simplify5.0ms

prune3.0ms

localize6.0ms

rewrite4.0ms

series11.0ms

simplify77.0ms

prune20.0ms

localize14.0ms

rewrite79.0ms

series143.0ms

simplify130.0ms

prune186.0ms

localize17.0ms

rewrite43.0ms

series129.0ms

simplify80.0ms

prune111.0ms

regimes373.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.1s

sample475.0ms

Profiling