Details

analyze363.0ms

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

sample94.0ms

Algorithm

intervals

Results

27.0ms	54×	body	1280	valid
12.0ms	44×	body	640	valid
6.0ms	122×	body	80	valid
4.0ms	24×	body	320	valid
1.0ms	12×	body	160	valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (93.0ms)

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

localize11.0ms

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)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (exp (neg im)) (exp im))
14.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))

simplify53.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5312	437

prune45.0ms

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: 0.0b

Counts

42 → 2

localize11.0ms

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))

rewrite20.0ms

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:

9.0ms	(+ (* 0.5 (/ (cos re) (exp im))) (* 0.5 (* (cos re) (exp im))))
5.0ms	(* (cos re) (exp im))
4.0ms	(/ (cos re) (exp im))

series35.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (* 0.5 (/ (cos re) (exp im))) (* 0.5 (* (cos re) (exp im))))
7.0ms	(* (cos re) (exp im))
9.0ms	(/ (cos re) (exp im))

simplify45.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4960	623
1	4960	623

prune67.0ms

Filtered

49 candidates to 66 candidates (-34.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	65	3	68

Merged error: 0b

Counts

68 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos re) (exp im))
0.0b	(/ 1 (sqrt (exp im)))
0.0b	(/ (cos re) (sqrt (exp im)))
0.0b	(* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

111×	`add-sqr-sqrt`
94×	`times-frac`
69×	`*-un-lft-identity`
63×	`add-cube-cbrt`
53×	`sqrt-prod`
33×	`add-exp-log`
25×	`associate-r` `associate-l`
22×	`add-cbrt-cube`
16×	`unswap-sqr`
12×	`associate-/r*`
11×	`div-exp`
10×	`pow1`
9×	`prod-exp`
6×	`cbrt-undiv` `pow-flip` `associate-/l*`
5×	`cbrt-unprod`
4×	`sqrt-pow1` `div-inv` `add-log-exp`
3×	`rec-exp` `exp-prod` `1-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`frac-times` `pow1/2` `associate-r/` `associate-l/` `inv-pow`

Counts

4 → 188

Calls

4 calls:

5.0ms	(* (cos re) (exp im))
5.0ms	(/ 1 (sqrt (exp im)))
5.0ms	(/ (cos re) (sqrt (exp im)))
23.0ms	(* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))

series34.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (cos re) (exp im))
5.0ms	(/ 1 (sqrt (exp im)))
12.0ms	(/ (cos re) (sqrt (exp im)))
10.0ms	(* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))

simplify93.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5161	1824

prune157.0ms

Filtered

115 candidates to 200 candidates (-73.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	200	3	203

Merged error: 0b

Counts

203 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (neg im)) (exp im))
0.0b	(+ (exp (neg im)) (exp im))
0.3b	(* (cos re) (sqrt (+ (exp (neg im)) (exp im))))
0.7b	(* (* 0.5 (* (cos re) (sqrt (+ (exp (neg im)) (exp im))))) (sqrt (+ (exp (neg im)) (exp im))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`associate-*r/`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`sqrt-div` `associate-r`
13×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `flip3-+` `sqrt-prod` `flip-+`
8×	`add-log-exp`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`frac-times` `associate-l` `distribute-lft-out`
2×	`+-commutative` `associate-l/` `sum-log` `-commutative` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

5.0ms	(+ (exp (neg im)) (exp im))
5.0ms	(+ (exp (neg im)) (exp im))
10.0ms	(* (cos re) (sqrt (+ (exp (neg im)) (exp im))))
20.0ms	(* (* 0.5 (* (cos re) (sqrt (+ (exp (neg im)) (exp im))))) (sqrt (+ (exp (neg im)) (exp im))))

series38.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (exp (neg im)) (exp im))
4.0ms	(+ (exp (neg im)) (exp im))
16.0ms	(* (cos re) (sqrt (+ (exp (neg im)) (exp im))))
14.0ms	(* (* 0.5 (* (cos re) (sqrt (+ (exp (neg im)) (exp im))))) (sqrt (+ (exp (neg im)) (exp im))))

simplify53.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5247	1190

prune79.0ms

Filtered

58 candidates to 94 candidates (-62.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	94	3	97

Merged error: 0b

Counts

97 → 3

regimes147.0ms

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

sample2.6s

Algorithm

intervals

Results

782.0ms	1533×	body	1280	valid
327.0ms	1211×	body	640	valid
228.0ms	4330×	body	80	valid
105.0ms	612×	body	320	valid
35.0ms	314×	body	160	valid

Details

analyze363.0ms

sample94.0ms

simplify95.0ms

prune6.0ms

localize11.0ms

rewrite15.0ms

series18.0ms

simplify53.0ms

prune45.0ms

localize11.0ms

rewrite20.0ms

series35.0ms

simplify45.0ms

prune67.0ms

localize15.0ms

rewrite46.0ms

series34.0ms

simplify93.0ms

prune157.0ms

localize14.0ms

rewrite44.0ms

series38.0ms

simplify53.0ms

prune79.0ms

regimes147.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.6s

Profiling