Details

analyze129.0ms

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

13.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify9.0ms

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: 7.9b

Counts

2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.1b	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
0.2b	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
7.4b	(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite23.0ms

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))
6.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
7.0ms	(- (* (- (* 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.re) (* x.im x.im)) x.re)

series29.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify46.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4878	866
1	4878	866

prune114.0ms

Filtered

62 candidates to 79 candidates (-27.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	73	6	79
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	75	6	81

Merged error: 0.0b

Counts

81 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x.re (- x.re x.im))
0.1b	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
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.re (- x.re x.im)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*r/`
24×	`associate-*l/`
18×	`flip3-+` `flip-+`
16×	`frac-sub`
15×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
12×	`frac-times`
11×	`sub-neg` `flip3--` `flip--`
10×	`associate-l`
9×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in` `associate-r`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate--l+`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`diff-log` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 106

Calls

4 calls:

6.0ms	(* x.re (- x.re x.im))
5.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
14.0ms	(- (* (+ x.re x.im) (* x.re (- x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
9.0ms	(* (+ x.re x.im) (* x.re (- x.re x.im)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* x.re (- x.re x.im))
7.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
9.0ms	(- (* (+ x.re x.im) (* x.re (- x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
8.0ms	(* (+ x.re x.im) (* x.re (- x.re x.im)))

simplify49.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5175	1561

prune140.0ms

Filtered

81 candidates to 118 candidates (-45.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	112	6	118
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	115	9	124

Merged error: 0.0b

Counts

124 → 9

localize10.0ms

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)))
4.3b	(* (+ x.re x.im) (* x.re x.re))

rewrite60.0ms

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))))
16.0ms	(- (neg (+ x.re x.im)) (+ x.im x.im))
18.0ms	(* (* x.re x.im) (- (neg (+ x.re x.im)) (+ x.im x.im)))
7.0ms	(* (+ x.re x.im) (* x.re x.re))

series28.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5624	1946

prune119.0ms

Filtered

80 candidates to 126 candidates (-57.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	126	9	135

Merged error: 0.0b

Counts

135 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
10.6b	(cbrt (+ (* x.re x.im) (* x.im x.re)))
10.6b	(cbrt (+ (* x.re x.im) (* x.im x.re)))
10.6b	(cbrt (* x.re (+ x.im x.im)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
22×	`add-sqr-sqrt`
18×	`cbrt-div`
14×	`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` `associate-*r/` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

10.0ms	(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
3.0ms	(cbrt (+ (* x.re x.im) (* x.im x.re)))
3.0ms	(cbrt (+ (* x.re x.im) (* x.im x.re)))
5.0ms	(cbrt (* x.re (+ x.im x.im)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
17.0ms	(cbrt (+ (* x.re x.im) (* x.im x.re)))
17.0ms	(cbrt (+ (* x.re x.im) (* x.im x.re)))
17.0ms	(cbrt (* x.re (+ x.im x.im)))

simplify62.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4840	934
1	4840	934

prune104.0ms

Filtered

75 candidates to 97 candidates (-29.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	6	6
Picked	1	0	1
Done	1	1	2
Total	98	8	106

Merged error: 0b

Counts

106 → 8

regimes103.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	20
1	20	20

end0.0ms

analyze313.0ms

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

sample571.0ms

Algorithm

intervals

Results

421.0ms	8000×	body	80	valid
21.0ms	423×	body	80	invalid

Details

analyze129.0ms

sample20.0ms

simplify9.0ms

prune8.0ms

localize13.0ms

rewrite23.0ms

series29.0ms

simplify46.0ms

prune114.0ms

localize10.0ms

rewrite39.0ms

series29.0ms

simplify49.0ms

prune140.0ms

localize10.0ms

rewrite60.0ms

series28.0ms

simplify51.0ms

prune119.0ms

localize20.0ms

rewrite23.0ms

series81.0ms

simplify62.0ms

prune104.0ms

regimes103.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze313.0ms

sample571.0ms

Profiling