Details

analyze1.1s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 14.084025%

Guaranteed chance to sample good point: 63.925128%

sample18.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	23×	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))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify130.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (7.0ms)

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

prune27.0ms

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))))
1.1b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.1b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.1b	(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)))

series148.0ms

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)))
35.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
34.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify100.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (90.0ms)

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

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))
2.2b	(* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))
2.7b	(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
34.0b	(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

8.0ms	(+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))
6.0ms	(* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))
6.0ms	(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
16.0ms	(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))

series131.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))
14.0ms	(* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))
42.0ms	(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
48.0ms	(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))

simplify109.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	436	1484
1	2568	1353
2	5002	1348

prune130.0ms

Filtered

71 candidates to 103 candidates (-45.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes361.0ms

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

analyze1.1s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 14.084025%

Guaranteed chance to sample good point: 63.925128%

sample466.0ms

Algorithm

intervals

Results

214.0ms	8000×	body	80	valid
26.0ms	1025×	body	80	invalid

Details

analyze1.1s

sample18.0ms

simplify3.0ms

prune3.0ms

localize5.0ms

rewrite3.0ms

series14.0ms

simplify130.0ms

prune27.0ms

localize9.0ms

rewrite21.0ms

series148.0ms

simplify100.0ms

prune98.0ms

localize17.0ms

rewrite39.0ms

series131.0ms

simplify109.0ms

prune130.0ms

regimes361.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.1s

sample466.0ms

Profiling