Details

analyze542.0ms

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

sample18.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	43×	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

localize5.0ms

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:

4.0ms

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

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5477	145

prune18.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

4.8b	(* x.im (* x.im (* y.im y.im)))
8.6b	(* x.re (* y.re y.re))
10.6b	(* x.im (* y.im y.im))
24.2b	(/ (- (* x.re (* x.re (* y.re y.re))) (* x.im (* x.im (* y.im y.im)))) (+ (* x.re y.re) (* x.im y.im)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
23×	`pow1`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`times-frac` `associate-l`
4×	`add-log-exp`
3×	`associate-r` `associate-/r` `-commutative` `associate-/l*`
2×	`associate-/r/` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv`

Counts

4 → 91

Calls

4 calls:

7.0ms	(* x.im (* x.im (* y.im y.im)))
5.0ms	(* x.re (* y.re y.re))
5.0ms	(* x.im (* y.im y.im))
11.0ms	(/ (- (* x.re (* x.re (* y.re y.re))) (* x.im (* x.im (* y.im y.im)))) (+ (* x.re y.re) (* x.im y.im)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* x.im (* x.im (* y.im y.im)))
6.0ms	(* x.re (* y.re y.re))
6.0ms	(* x.im (* y.im y.im))
29.0ms	(/ (- (* x.re (* x.re (* y.re y.re))) (* x.im (* x.im (* y.im y.im)))) (+ (* x.re y.re) (* x.im y.im)))

simplify39.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4989	1250
1	4989	1250

prune77.0ms

Filtered

64 candidates to 103 candidates (-60.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	103	2	105

Merged error: 0.0b

Counts

105 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

4.6b	(* x.re (* x.re (* y.re y.re)))
4.8b	(* x.im (* (* x.im y.im) y.im))
8.6b	(* x.re (* y.re y.re))
24.2b	(/ (- (* x.re (* x.re (* y.re y.re))) (* x.im (* (* x.im y.im) y.im))) (+ (* x.re y.re) (* x.im y.im)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log` `add-cbrt-cube`
27×	`pow1`
16×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`times-frac` `associate-l`
4×	`add-log-exp`
3×	`associate-r` `associate-/r` `-commutative` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

7.0ms	(* x.re (* x.re (* y.re y.re)))
6.0ms	(* x.im (* (* x.im y.im) y.im))
5.0ms	(* x.re (* y.re y.re))
11.0ms	(/ (- (* x.re (* x.re (* y.re y.re))) (* x.im (* (* x.im y.im) y.im))) (+ (* x.re y.re) (* x.im y.im)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* x.re (* x.re (* y.re y.re)))
6.0ms	(* x.im (* (* x.im y.im) y.im))
6.0ms	(* x.re (* y.re y.re))
27.0ms	(/ (- (* x.re (* x.re (* y.re y.re))) (* x.im (* (* x.im y.im) y.im))) (+ (* x.re y.re) (* x.im y.im)))

simplify43.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4995	1299
1	4995	1299

prune75.0ms

Filtered

66 candidates to 105 candidates (-59.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	105	2	107

Merged error: 0.0b

Counts

107 → 2

regimes320.0ms

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

sample468.0ms

Algorithm

intervals

Results

207.0ms	8000×	body	80	valid
35.0ms	1320×	body	80	invalid

Details

analyze542.0ms

sample18.0ms

simplify7.0ms

prune3.0ms

localize5.0ms

rewrite4.0ms

series13.0ms

simplify42.0ms

prune18.0ms

localize14.0ms

rewrite31.0ms

series47.0ms

simplify39.0ms

prune77.0ms

localize15.0ms

rewrite32.0ms

series46.0ms

simplify43.0ms

prune75.0ms

regimes320.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample468.0ms

Profiling