Details

analyze124.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
31.2%	50%	18.8%	7
40.6%	37.5%	22%	8
45.3%	26.5%	28.2%	9
46.8%	19.5%	33.7%	10
48.8%	14%	37.2%	11
51.7%	10.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	5.1%	41.6%	14

sample20.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	19×	body	80	invalid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	270	11
1	270	11

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 5.9b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.2b	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
5.5b	(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-*l/`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
7×	`associate-l`
6×	`associate-r`
4×	`flip3--` `flip3-+` `frac-sub` `flip--` `flip-+`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log` `difference-of-squares`

Counts

4 → 67

Calls

4 calls:

3.0ms	(+ (* x.re x.im) (* x.im x.re))
9.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
6.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
6.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

series27.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (* x.re x.im) (* x.im x.re))
9.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
7.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
8.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify47.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4878	866
1	4878	866

prune112.0ms

Filtered

62 candidates to 79 candidates (-27.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	72	7	79
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	74	7	81

Merged error: 0.0b

Counts

81 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.2b	(- (* (+ x.re x.im) (* x.re (- x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
0.2b	(* (+ x.re x.im) (* x.re (- x.re x.im)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-r/` `associate-l/`
19×	`flip3-+` `flip-+`
16×	`frac-sub`
12×	`frac-times`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`flip3--` `flip--`
9×	`add-sqr-sqrt` `sub-neg` `*-un-lft-identity`
8×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
7×	`add-cube-cbrt` `associate-l`
4×	`associate-r` `pow-prod-down` `prod-exp` `associate--l+` `cbrt-unprod`
2×	`*-commutative`
1×	`+-commutative` `diff-log` `sum-log` `distribute-lft-out` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

3.0ms	(+ (* x.re x.im) (* x.im x.re))
14.0ms	(- (* (+ x.re x.im) (* x.re (- x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
5.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
9.0ms	(* (+ x.re x.im) (* x.re (- x.re x.im)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (* x.re x.im) (* x.im x.re))
9.0ms	(- (* (+ x.re x.im) (* x.re (- x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
7.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
8.0ms	(* (+ x.re x.im) (* x.re (- x.re x.im)))

simplify47.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5178	1485

prune124.0ms

Filtered

73 candidates to 105 candidates (-43.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	104	8	112

Merged error: 0b

Counts

112 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (+ x.re x.im) (* x.re x.re)) (* (* x.re x.im) (- (neg (+ x.re x.im)) (+ x.im x.im))))
0.0b	(- (neg (+ x.re x.im)) (+ x.im x.im))
0.2b	(* (* x.re x.im) (- (neg (+ x.re x.im)) (+ x.im x.im)))
5.3b	(* (+ x.re x.im) (* x.re x.re))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
24×	`flip3-+` `flip-+`
23×	`add-log-exp`
18×	`associate-*r/`
16×	`frac-sub` `distribute-neg-frac`
14×	`pow1` `add-exp-log` `associate-*l/` `add-cbrt-cube`
12×	`frac-add` `distribute-lft-out--`
11×	`add-sqr-sqrt` `associate-r` `distribute-lft-out`
8×	`distribute-rgt-neg-in`
6×	`add-cube-cbrt` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod`
5×	`sub-neg` `distribute-neg-in` `associate-l` `associate--l+`
4×	`distribute-rgt-in` `associate-+r+` `flip3--` `distribute-lft-in` `neg-log` `flip--`
2×	`*-commutative` `difference-of-squares`
1×	`+-commutative` `associate--l-` `neg-sub0` `associate--r+` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

13.0ms	(+ (* (+ x.re x.im) (* x.re x.re)) (* (* x.re x.im) (- (neg (+ x.re x.im)) (+ x.im x.im))))
14.0ms	(- (neg (+ x.re x.im)) (+ x.im x.im))
19.0ms	(* (* x.re x.im) (- (neg (+ x.re x.im)) (+ x.im x.im)))
7.0ms	(* (+ x.re x.im) (* x.re x.re))

series31.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (* (+ x.re x.im) (* x.re x.re)) (* (* x.re x.im) (- (neg (+ x.re x.im)) (+ x.im x.im))))
4.0ms	(- (neg (+ x.re x.im)) (+ x.im x.im))
12.0ms	(* (* x.re x.im) (- (neg (+ x.re x.im)) (+ x.im x.im)))
5.0ms	(* (+ x.re x.im) (* x.re x.re))

simplify52.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5624	1946

prune116.0ms

Filtered

81 candidates to 126 candidates (-55.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	126	8	134

Merged error: 0b

Counts

134 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x.im (* x.im 3))
6.5b	(* x.re (* x.im (* x.im 3)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-r` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

4.0ms	(* x.im (* x.im 3))
6.0ms	(* x.re (* x.im (* x.im 3)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* x.im (* x.im 3))
7.0ms	(* x.re (* x.im (* x.im 3)))

simplify39.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5209	299

prune39.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	45	8	53

Merged error: 0b

Counts

53 → 8

regimes104.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	20
1	20	20

end0.0ms

analyze121.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
31.2%	50%	18.8%	7
40.6%	37.5%	22%	8
45.3%	26.5%	28.2%	9
46.8%	19.5%	33.7%	10
48.8%	14%	37.2%	11
51.7%	10.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	5.1%	41.6%	14

sample720.0ms

Algorithm

intervals

Results

570.0ms	8000×	body	80	valid
20.0ms	430×	body	80	invalid

Details

analyze124.0ms

sample20.0ms

simplify10.0ms

prune8.0ms

localize10.0ms

rewrite26.0ms

series27.0ms

simplify47.0ms

prune112.0ms

localize11.0ms

rewrite36.0ms

series28.0ms

simplify47.0ms

prune124.0ms

localize12.0ms

rewrite58.0ms

series31.0ms

simplify52.0ms

prune116.0ms

localize7.0ms

rewrite12.0ms

series10.0ms

simplify39.0ms

prune39.0ms

regimes104.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze121.0ms

sample720.0ms

Profiling