Details

analyze521.0ms

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
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	16×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	15
1	37	15

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: 27.2b

Counts

2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

0.5b	(- (* x.im y.re) (* x.re y.im))
26.7b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 43

Calls

2 calls:

3.0ms	(- (* x.im y.re) (* x.re y.im))
8.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series36.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(- (* x.im y.re) (* x.re y.im))
26.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify25.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5239	846

prune75.0ms

Filtered

39 candidates to 49 candidates (-25.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	6	50

Merged error: 21.6b

Counts

50 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

2.9b	(* x.re (/ y.im (+ (* y.re y.re) (* y.im y.im))))
3.5b	(* x.im (/ y.re (+ (* y.re y.re) (* y.im y.im))))
15.4b	(/ y.im (+ (* y.re y.re) (* y.im y.im)))
17.7b	(/ y.re (+ (* y.re y.re) (* y.im y.im)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
38×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
30×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `associate-/r/`
6×	`associate-l` `associate-/r` `associate-/l`
4×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 126

Calls

4 calls:

8.0ms	(* x.re (/ y.im (+ (* y.re y.re) (* y.im y.im))))
8.0ms	(* x.im (/ y.re (+ (* y.re y.re) (* y.im y.im))))
5.0ms	(/ y.im (+ (* y.re y.re) (* y.im y.im)))
5.0ms	(/ y.re (+ (* y.re y.re) (* y.im y.im)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* x.re (/ y.im (+ (* y.re y.re) (* y.im y.im))))
14.0ms	(* x.im (/ y.re (+ (* y.re y.re) (* y.im y.im))))
7.0ms	(/ y.im (+ (* y.re y.re) (* y.im y.im)))
7.0ms	(/ y.re (+ (* y.re y.re) (* y.im y.im)))

simplify48.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4999	1682
1	4999	1682

prune152.0ms

Filtered

108 candidates to 138 candidates (-27.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	139	5	144

Merged error: 21.6b

Counts

144 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

3.5b	(* x.im (/ y.re (+ (* y.re y.re) (* y.im y.im))))
17.7b	(/ y.re (+ (* y.re y.re) (* y.im y.im)))
27.9b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
27.9b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
15×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`sqrt-prod`
4×	`flip3-+` `sqrt-div` `associate-/r/` `flip-+` `add-log-exp`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 93

Calls

4 calls:

8.0ms	(* x.im (/ y.re (+ (* y.re y.re) (* y.im y.im))))
5.0ms	(/ y.re (+ (* y.re y.re) (* y.im y.im)))
3.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
3.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series32.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* x.im (/ y.re (+ (* y.re y.re) (* y.im y.im))))
7.0ms	(/ y.re (+ (* y.re y.re) (* y.im y.im)))
5.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify57.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4985	1169
1	4985	1169

prune110.0ms

Filtered

84 candidates to 105 candidates (-25.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	105	5	110

Merged error: 21.6b

Counts

110 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

2.9b	(* x.re (/ y.im (+ (* y.re y.re) (* y.im y.im))))
15.4b	(/ y.im (+ (* y.re y.re) (* y.im y.im)))
27.9b	(sqrt (+ (* y.re y.re) (* y.im y.im)))
27.9b	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
15×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`sqrt-prod`
4×	`flip3-+` `sqrt-div` `associate-/r/` `flip-+` `add-log-exp`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 93

Calls

4 calls:

8.0ms	(* x.re (/ y.im (+ (* y.re y.re) (* y.im y.im))))
5.0ms	(/ y.im (+ (* y.re y.re) (* y.im y.im)))
3.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
3.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* x.re (/ y.im (+ (* y.re y.re) (* y.im y.im))))
7.0ms	(/ y.im (+ (* y.re y.re) (* y.im y.im)))
5.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))
6.0ms	(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify55.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4989	1169
1	4989	1169

prune96.0ms

Filtered

84 candidates to 105 candidates (-25.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	105	5	110

Merged error: 21.6b

Counts

110 → 5

regimes239.0ms

Accuracy

0% (1.1b remaining)

Error of 23.7b against oracle of 22.6b and baseline of 23.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	17	33

end0.0ms

analyze510.0ms

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
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

sample586.0ms

Algorithm

intervals

Results

363.0ms	8000×	body	80	valid
22.0ms	451×	body	80	invalid

Details

analyze521.0ms

sample23.0ms

simplify3.0ms

prune3.0ms

localize13.0ms

rewrite12.0ms

series36.0ms

simplify25.0ms

prune75.0ms

localize12.0ms

rewrite30.0ms

series42.0ms

simplify48.0ms

prune152.0ms

localize13.0ms

rewrite22.0ms

series32.0ms

simplify57.0ms

prune110.0ms

localize13.0ms

rewrite23.0ms

series33.0ms

simplify55.0ms

prune96.0ms

regimes239.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze510.0ms

sample586.0ms

Profiling