Details

analyze541.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
25%	74.9%	0.2%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

sample19.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	47×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	157	7
1	157	7

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 → 11

Calls

1 calls:

3.0ms

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

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5477	145

prune22.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 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))))
1.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite24.0ms

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:

11.0ms	(* (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)))

series161.0ms

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))))
36.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
40.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
37.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify51.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5128	1443

prune110.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

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

localize20.0ms

Local error

Found 4 expressions with local error:

1.2b	(cbrt (+ (* x.re y.re) (* x.im y.im)))
1.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))
27.8b	(cbrt (- (pow (* x.re y.re) 2) (pow (* x.im y.im) 2)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
14×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`difference-of-squares`
8×	`add-cube-cbrt` `cbrt-div`
6×	`unpow2` `sqr-pow`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
1×	`flip3-+` `flip-+` `distribute-lft-out--`

Counts

4 → 62

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)))
6.0ms	(cbrt (- (pow (* x.re y.re) 2) (pow (* x.im y.im) 2)))

series153.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt (+ (* x.re y.re) (* x.im y.im)))
36.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
39.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
42.0ms	(cbrt (- (pow (* x.re y.re) 2) (pow (* x.im y.im) 2)))

simplify50.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5413	1055

prune123.0ms

Filtered

59 candidates to 74 candidates (-25.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	74	3	77

Merged error: 0.0b

Counts

77 → 3

regimes365.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms

sample485.0ms

Algorithm

intervals

Results

214.0ms	8000×	body	80	valid
41.0ms	1389×	body	80	invalid

Details

analyze541.0ms

sample19.0ms

simplify7.0ms

prune3.0ms

localize6.0ms

rewrite4.0ms

series10.0ms

simplify44.0ms

prune22.0ms

localize9.0ms

rewrite24.0ms

series161.0ms

simplify51.0ms

prune110.0ms

localize20.0ms

rewrite18.0ms

series153.0ms

simplify50.0ms

prune123.0ms

regimes365.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample485.0ms

Profiling