Details

analyze352.0ms

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
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

sample82.0ms

Algorithm

intervals

Results

25.0ms	49×	body	1280	valid
11.0ms	36×	body	1280	invalid
9.0ms	44×	body	640	invalid
9.0ms	32×	body	640	valid
8.0ms	147×	body	80	valid
3.0ms	19×	body	320	valid
2.0ms	15×	body	320	invalid
1.0ms	19×	body	80	invalid
1.0ms	9×	body	160	valid
1.0ms	7×	body	160	invalid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5439	11

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
0.0b	(+ (exp (neg im)) (exp im))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 35

Calls

2 calls:

9.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
5.0ms	(+ (exp (neg im)) (exp im))

series17.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
4.0ms	(+ (exp (neg im)) (exp im))

simplify51.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5312	437

prune44.0ms

Filtered

27 candidates to 41 candidates (-51.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	2	42

Merged error: 0b

Counts

42 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))
0.0b	(* (exp im) (* 0.5 (cos re)))
0.0b	(/ (cos re) (exp im))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`times-frac`
8×	`pow1`
7×	`add-exp-log`
5×	`add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `associate-/l`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `div-exp` `associate-r` `clear-num` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

3 → 56

Calls

3 calls:

7.0ms	(+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))
6.0ms	(* (exp im) (* 0.5 (cos re)))
4.0ms	(/ (cos re) (exp im))

series36.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (* 0.5 (/ (cos re) (exp im))) (* (exp im) (* 0.5 (cos re))))
9.0ms	(* (exp im) (* 0.5 (cos re)))
8.0ms	(/ (cos re) (exp im))

simplify41.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5028	658

prune66.0ms

Filtered

50 candidates to 65 candidates (-30.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	65	2	67

Merged error: 0b

Counts

67 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp im) (* 0.5 (cos re)))
0.0b	(/ (cos re) (exp im))
0.3b	(cbrt (pow (/ (cos re) (exp im)) 3))
0.4b	(pow (/ (cos re) (exp im)) 3)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
14×	`add-cbrt-cube`
10×	`pow1` `add-exp-log`
5×	`div-inv`
4×	`add-log-exp`
3×	`pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `associate-r` `clear-num` `*-commutative` `rem-cbrt-cube`

Counts

4 → 133

Calls

4 calls:

6.0ms	(* (exp im) (* 0.5 (cos re)))
5.0ms	(/ (cos re) (exp im))
5.0ms	(cbrt (pow (/ (cos re) (exp im)) 3))
5.0ms	(pow (/ (cos re) (exp im)) 3)

series43.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (exp im) (* 0.5 (cos re)))
11.0ms	(/ (cos re) (exp im))
8.0ms	(cbrt (pow (/ (cos re) (exp im)) 3))
15.0ms	(pow (/ (cos re) (exp im)) 3)

simplify33.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5125	1340

prune123.0ms

Filtered

79 candidates to 145 candidates (-83.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	145	2	147

Merged error: 0b

Counts

147 → 2

regimes94.0ms

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	14	15
1	14	15

end0.0ms

sample2.7s

Algorithm

intervals

Results

752.0ms	1493×	body	1280	valid
507.0ms	1540×	body	1280	invalid
328.0ms	1217×	body	640	valid
273.0ms	1266×	body	640	invalid
234.0ms	4317×	body	80	valid
105.0ms	631×	body	320	valid
97.0ms	612×	body	320	invalid
38.0ms	342×	body	160	valid
36.0ms	312×	body	160	invalid
29.0ms	493×	body	80	invalid

Details

analyze352.0ms

sample82.0ms

simplify88.0ms

prune6.0ms

localize13.0ms

rewrite15.0ms

series17.0ms

simplify51.0ms

prune44.0ms

localize10.0ms

rewrite19.0ms

series36.0ms

simplify41.0ms

prune66.0ms

localize13.0ms

rewrite25.0ms

series43.0ms

simplify33.0ms

prune123.0ms

regimes94.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.7s

Profiling