Details

analyze534.0ms

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

7.0ms	256×	body	80	valid
1.0ms	30×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	7
1	10	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.im) (* x.im y.re))

rewrite4.0ms

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))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify47.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4935	141
1	4935	141

prune21.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

3.5b	(* x.im (* x.im (* y.re y.re)))
8.7b	(* x.re (* y.im y.im))
8.8b	(* x.im (* y.re y.re))
27.0b	(/ (- (* x.re (* x.re (* y.im y.im))) (* x.im (* x.im (* y.re y.re)))) (- (* x.re y.im) (* x.im y.re)))

rewrite30.0ms

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×	`flip3--` `associate-/r/` `flip--` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 91

Calls

4 calls:

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

series50.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* x.im (* x.im (* y.re y.re)))
9.0ms	(* x.re (* y.im y.im))
7.0ms	(* x.im (* y.re y.re))
28.0ms	(/ (- (* x.re (* x.re (* y.im y.im))) (* x.im (* x.im (* y.re y.re)))) (- (* x.re y.im) (* x.im y.re)))

simplify38.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5159	1249

prune83.0ms

Filtered

64 candidates to 103 candidates (-60.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	102	3	105

Merged error: 0b

Counts

105 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

8.7b	(* x.re (* y.im y.im))
8.8b	(* x.im (* y.re y.re))
12.4b	(* (* x.im (* y.re y.re)) (/ x.im (- (* x.re y.im) (* x.im y.re))))
13.0b	(* (* x.re (* y.im y.im)) (/ x.re (- (* x.re y.im) (* x.im y.re))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-exp-log` `add-cbrt-cube`
32×	`pow1` `associate-r`
30×	`prod-exp` `cbrt-unprod`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `pow-prod-down`
8×	`associate-l`
6×	`cbrt-undiv` `div-exp`
4×	`associate-/r/` `*-commutative` `add-log-exp`
2×	`flip3--` `associate-*r/` `flip--` `div-inv` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

5.0ms	(* x.re (* y.im y.im))
5.0ms	(* x.im (* y.re y.re))
13.0ms	(* (* x.im (* y.re y.re)) (/ x.im (- (* x.re y.im) (* x.im y.re))))
11.0ms	(* (* x.re (* y.im y.im)) (/ x.re (- (* x.re y.im) (* x.im y.re))))

series47.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* x.re (* y.im y.im))
6.0ms	(* x.im (* y.re y.re))
16.0ms	(* (* x.im (* y.re y.re)) (/ x.im (- (* x.re y.im) (* x.im y.re))))
18.0ms	(* (* x.re (* y.im y.im)) (/ x.re (- (* x.re y.im) (* x.im y.re))))

simplify43.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5577	1508

prune89.0ms

Filtered

74 candidates to 130 candidates (-75.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	130	3	133

Merged error: 0b

Counts

133 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

3.2b	(* x.re (* x.re (* y.im y.im)))
3.5b	(* x.im (* (* x.im y.re) y.re))
8.7b	(* x.re (* y.im y.im))
27.0b	(/ (- (* x.re (* x.re (* y.im y.im))) (* x.im (* (* x.im y.re) y.re))) (- (* x.re y.im) (* x.im y.re)))

rewrite31.0ms

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×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

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

series49.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* x.re (* x.re (* y.im y.im)))
6.0ms	(* x.im (* (* x.im y.re) y.re))
6.0ms	(* x.re (* y.im y.im))
30.0ms	(/ (- (* x.re (* x.re (* y.im y.im))) (* x.im (* (* x.im y.re) y.re))) (- (* x.re y.im) (* x.im y.re)))

simplify40.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5037	1278

prune76.0ms

Filtered

67 candidates to 105 candidates (-56.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	105	3	108

Merged error: 0b

Counts

108 → 3

regimes360.0ms

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	7
1	10	7

end0.0ms

analyze524.0ms

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

sample470.0ms

Algorithm

intervals

Results

217.0ms	8000×	body	80	valid
37.0ms	1322×	body	80	invalid

Details

analyze534.0ms

sample18.0ms

simplify3.0ms

prune3.0ms

localize6.0ms

rewrite4.0ms

series9.0ms

simplify47.0ms

prune21.0ms

localize15.0ms

rewrite30.0ms

series50.0ms

simplify38.0ms

prune83.0ms

localize16.0ms

rewrite39.0ms

series47.0ms

simplify43.0ms

prune89.0ms

localize14.0ms

rewrite31.0ms

series49.0ms

simplify40.0ms

prune76.0ms

regimes360.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze524.0ms

sample470.0ms

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