Details

analyze351.0ms

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

sample96.0ms

Algorithm

intervals

Results

32.0ms	57×	body	1280	valid
13.0ms	40×	body	1280	invalid
12.0ms	43×	body	640	valid
8.0ms	37×	body	640	invalid
7.0ms	129×	body	80	valid
3.0ms	21×	body	320	invalid
3.0ms	19×	body	320	valid
1.0ms	13×	body	160	invalid
1.0ms	20×	body	80	invalid
1.0ms	8×	body	160	valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5123	11

prune7.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

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

series16.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ (exp (neg im)) (exp im))
13.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

simplify57.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4934	437
1	4934	437

prune54.0ms

Filtered

27 candidates to 41 candidates (-51.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

7.0ms	(+ (* 0.5 (/ (cos re) (exp im))) (* 0.5 (* (cos re) (exp im))))
5.0ms	(* (cos re) (exp im))
4.0ms	(/ (cos re) (exp im))

series33.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (* 0.5 (/ (cos re) (exp im))) (* 0.5 (* (cos re) (exp im))))
7.0ms	(* (cos re) (exp im))
8.0ms	(/ (cos re) (exp im))

simplify38.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4976	625
1	4976	625

prune77.0ms

Filtered

49 candidates to 66 candidates (-34.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	66	3	69

Merged error: 0b

Counts

69 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp im) 3)
0.0b	(pow (exp im) 2)
0.0b	(pow (exp im) -3)
6.0b	(+ (pow (exp im) 2) -1)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`pow-pow`
10×	`unpow-prod-down`
9×	`pow-unpow` `exp-prod`
7×	`pow1`
6×	`add-log-exp`
5×	`add-cbrt-cube`
4×	`add-exp-log` `difference-of-sqr--1` `sqr-pow`
3×	`pow-to-exp` `cube-prod` `pow-exp`
2×	`unpow2`
1×	`+-commutative` `cube-mult` `flip3-+` `unpow3` `sum-log` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 83

Calls

4 calls:

3.0ms	(pow (exp im) 3)
3.0ms	(pow (exp im) 2)
3.0ms	(pow (exp im) -3)
6.0ms	(+ (pow (exp im) 2) -1)

series17.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow (exp im) 3)
3.0ms	(pow (exp im) 2)
7.0ms	(pow (exp im) -3)
4.0ms	(+ (pow (exp im) 2) -1)

simplify37.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4930	519
1	4930	519

prune153.0ms

Filtered

59 candidates to 95 candidates (-61.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Merged error: 0b

Counts

98 → 3

regimes280.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	40	15
1	40	15

end0.0ms

sample2.8s

Algorithm

intervals

Results

768.0ms	1460×	body	1280	valid
504.0ms	1473×	body	1280	invalid
353.0ms	1262×	body	640	valid
297.0ms	1234×	body	640	invalid
250.0ms	4327×	body	80	valid
109.0ms	612×	body	320	valid
106.0ms	588×	body	320	invalid
40.0ms	339×	body	160	valid
37.0ms	293×	body	160	invalid
33.0ms	519×	body	80	invalid

Details

analyze351.0ms

sample96.0ms

simplify67.0ms

prune7.0ms

localize10.0ms

rewrite15.0ms

series16.0ms

simplify57.0ms

prune54.0ms

localize12.0ms

rewrite18.0ms

series33.0ms

simplify38.0ms

prune77.0ms

localize18.0ms

rewrite17.0ms

series17.0ms

simplify37.0ms

prune153.0ms

regimes280.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.8s

Profiling