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
25%	74.9%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

sample102.0ms

Algorithm

intervals

Results

27.0ms	51×	body	1280	valid
17.0ms	49×	body	1280	invalid
12.0ms	38×	body	640	invalid
10.0ms	36×	body	640	valid
8.0ms	139×	body	80	valid
5.0ms	78×	body	80	invalid
4.0ms	20×	body	320	valid
4.0ms	21×	body	320	invalid
1.0ms	10×	body	160	invalid
1.0ms	10×	body	160	valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5009	12

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

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.0b	(+ (exp (- 0.0 im)) (exp im))

rewrite18.0ms

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:

10.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
6.0ms	(+ (exp (- 0.0 im)) (exp im))

series18.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
4.0ms	(+ (exp (- 0.0 im)) (exp im))

simplify26.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5131	485

prune70.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp im) (* 0.5 (sin re)))
0.0b	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
0.0b	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube`
9×	`add-exp-log`
7×	`associate-l`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `flip3-+` `exp-diff` `exp-sum` `associate-*l/` `sum-log` `flip-+`

Counts

3 → 50

Calls

3 calls:

6.0ms	(* (exp im) (* 0.5 (sin re)))
11.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
10.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series39.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* (exp im) (* 0.5 (sin re)))
19.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
10.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

simplify32.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5106	630

prune75.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	61	1	62

Merged error: 0b

Counts

62 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp im) (* 0.5 (sin re)))
0.0b	(+ (* 0.5 (/ (sin re) (exp im))) (* (exp im) (* 0.5 (sin re))))
0.0b	(/ (sin 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:

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

series39.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* (exp im) (* 0.5 (sin re)))
21.0ms	(+ (* 0.5 (/ (sin re) (exp im))) (* (exp im) (* 0.5 (sin re))))
8.0ms	(/ (sin re) (exp im))

simplify42.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5002	668

prune66.0ms

Filtered

50 candidates to 65 candidates (-30.0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Merged error: 0b

Counts

66 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	15
1	14	15

end0.0ms

sample3.1s

Algorithm

intervals

Results

819.0ms	1554×	body	1280	valid
486.0ms	1426×	body	1280	invalid
361.0ms	1257×	body	640	valid
285.0ms	1196×	body	640	invalid
270.0ms	608×	body	320	invalid
258.0ms	4300×	body	80	valid
149.0ms	2313×	body	80	invalid
108.0ms	600×	body	320	valid
35.0ms	289×	body	160	valid
31.0ms	269×	body	160	invalid

Details

analyze351.0ms

sample102.0ms

simplify69.0ms

prune6.0ms

localize10.0ms

rewrite18.0ms

series18.0ms

simplify26.0ms

prune70.0ms

localize11.0ms

rewrite28.0ms

series39.0ms

simplify32.0ms

prune75.0ms

localize10.0ms

rewrite19.0ms

series39.0ms

simplify42.0ms

prune66.0ms

simplify1.0ms

end0.0ms

sample3.1s

Profiling