Details

analyze135.0ms (6.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
74.9%	18.7%	6.3%	6
74.9%	18.7%	6.3%	7
74.9%	15.6%	9.5%	8
74.9%	15.6%	9.5%	9
74.9%	14%	11%	10
74.9%	14%	11%	11
74.9%	13.3%	11.8%	12
74.9%	13.3%	11.8%	13
74.9%	12.9%	12.2%	14

sample41.0ms (2%)

Algorithm

1×

intervals

Results

11.0ms	31×	body	1280	valid
7.0ms	39×	body	640	valid
6.0ms	166×	body	80	valid
4.0ms	17×	body	1280	invalid
1.0ms	13×	body	320	valid
1.0ms	7×	body	320	invalid
1.0ms	4×	body	640	invalid
1.0ms	7×	body	160	valid
0.0ms	6×	body	80	invalid
0.0ms	1×	body	160	invalid

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

prune6.0ms (0.3%)

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: 0.0b

Counts

2 → 1

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (cos im))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (exp re) (cos im))

series8.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (exp re) (cos im))

simplify63.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4955	134
1	4955	134

prune32.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Merged error: 0b

Counts

22 → 3

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*` `sqrt-prod`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `add-log-exp` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

9.0ms	(* (sqrt (exp re)) (* (cos im) (sqrt (exp re))))
6.0ms	(* (cos im) (sqrt (exp re)))

series16.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(* (cos im) (sqrt (exp re)))
7.0ms	(* (sqrt (exp re)) (* (cos im) (sqrt (exp re))))

simplify65.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4974	351
1	4974	351

prune55.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	49	3	52

Merged error: 0b

Counts

52 → 3

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (cos im))
0.2b	(cbrt (pow (* (exp re) (cos im)) 3))
0.3b	(pow (* (exp re) (cos im)) 3)

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`pow1` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
3×	`pow-unpow` `associate-r` `associate-l` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

5.0ms	(pow (* (exp re) (cos im)) 3)
5.0ms	(* (exp re) (cos im))
2.0ms	(cbrt (pow (* (exp re) (cos im)) 3))

series31.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(pow (* (exp re) (cos im)) 3)
8.0ms	(cbrt (pow (* (exp re) (cos im)) 3))
7.0ms	(* (exp re) (cos im))

simplify31.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5221	453

prune88.0ms (4.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	66	3	69

Merged error: 0b

Counts

69 → 3

regimes192.0ms (9.4%)

Accuracy

Total 0.0b remaining (40%)

Threshold costs 0.0b (40%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms (0%)

sample1.2s (59.7%)

Algorithm

1×

intervals

Results

365.0ms	1021×	body	1280	valid
214.0ms	5533×	body	80	valid
162.0ms	858×	body	640	valid
122.0ms	490×	body	1280	invalid
63.0ms	404×	body	640	invalid
45.0ms	387×	body	320	valid
24.0ms	183×	body	320	invalid
16.0ms	201×	body	160	valid
9.0ms	115×	body	160	invalid
6.0ms	138×	body	80	invalid

Details

analyze135.0ms (6.6%)

sample41.0ms (2%)

simplify2.0ms (0.1%)

prune6.0ms (0.3%)

localize5.0ms (0.3%)

rewrite5.0ms (0.2%)

series8.0ms (0.4%)

simplify63.0ms (3.1%)

prune32.0ms (1.6%)

localize8.0ms (0.4%)

rewrite16.0ms (0.8%)

series16.0ms (0.8%)

simplify65.0ms (3.2%)

prune55.0ms (2.7%)

localize8.0ms (0.4%)

rewrite13.0ms (0.6%)

series31.0ms (1.5%)

simplify31.0ms (1.5%)

prune88.0ms (4.3%)

regimes192.0ms (9.4%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.2s (59.7%)

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