Details

analyze358.0ms (6.9%)

Algorithm

1×

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

sample94.0ms (1.8%)

Algorithm

1×

intervals

Results

22.0ms	40×	body	1280	valid
17.0ms	48×	body	1280	invalid
13.0ms	46×	body	640	valid
8.0ms	32×	body	640	invalid
8.0ms	129×	body	80	valid
4.0ms	20×	body	320	valid
4.0ms	63×	body	80	invalid
3.0ms	21×	body	160	valid
2.0ms	15×	body	320	invalid
2.0ms	14×	body	160	invalid

simplify82.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5009	12

prune10.0ms (0.2%)

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite17.0ms (0.3%)

Algorithm

1×	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:

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

series19.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
4.0ms	(+ (exp (- 0.0 im)) (exp im))

simplify28.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5131	485

prune85.0ms (1.6%)

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

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(* (exp im) (exp im))
0.0b	(pow (exp (- 0.0 im)) 3)
0.0b	(pow (exp im) 3)
6.0b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt` `exp-prod`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
13×	`pow1`
10×	`pow-pow`
8×	`add-cbrt-cube`
7×	`unpow-prod-down` `cube-prod`
6×	`pow-unpow` `add-log-exp`
4×	`add-exp-log` `pow-prod-down` `pow-sqr` `pow-prod-up`
3×	`sub-neg` `swap-sqr` `associate-r` `associate-l`
2×	`cube-mult` `pow-to-exp` `unpow3` `exp-sum` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`cube-div` `pow2` `flip3--` `distribute-rgt-out--` `pow-plus` `exp-diff` `diff-log` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

6.0ms	(* (exp im) (exp im))
6.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))
6.0ms	(pow (exp (- 0.0 im)) 3)
3.0ms	(pow (exp im) 3)

series19.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))
5.0ms	(pow (exp (- 0.0 im)) 3)
4.0ms	(pow (exp im) 3)
3.0ms	(* (exp im) (exp im))

simplify50.0ms (1%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5211	654

prune388.0ms (7.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	115	3	118

Merged error: 0b

Counts

118 → 3

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/12 (pow im 4)) (+ 2 (* im im)))
0.0b	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ 2 (* im im))))
0.1b	(* 1/12 (pow im 4))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

12.0ms	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ 2 (* im im))))
6.0ms	(+ (* 1/12 (pow im 4)) (+ 2 (* im im)))
5.0ms	(* 1/12 (pow im 4))

series34.0ms (0.6%)

Counts

3 → 9

Calls

3 calls:

26.0ms	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ 2 (* im im))))
4.0ms	(+ (* 1/12 (pow im 4)) (+ 2 (* im im)))
4.0ms	(* 1/12 (pow im 4))

simplify25.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5001	859

prune126.0ms (2.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	69	3	72

Merged error: 0b

Counts

72 → 3

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(+ (exp (- 0.0 im)) (exp im))
0.4b	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))
0.5b	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

rewrite51.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

21.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))
14.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
6.0ms	(+ (exp (- 0.0 im)) (exp im))
6.0ms	(+ (exp (- 0.0 im)) (exp im))

series40.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
14.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))
4.0ms	(+ (exp (- 0.0 im)) (exp im))
3.0ms	(+ (exp (- 0.0 im)) (exp im))

simplify53.0ms (1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4942	1335
1	4942	1335

prune220.0ms (4.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes197.0ms (3.8%)

Accuracy

Total 0.1b remaining (81%)

Threshold costs 0.1b (81%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	40
1	59	40

end0.0ms (0%)

sample3.2s (61.5%)

Algorithm

1×

intervals

Results

794.0ms	1479×	body	1280	valid
522.0ms	1359×	body	640	valid
520.0ms	1467×	body	1280	invalid
316.0ms	1274×	body	640	invalid
264.0ms	4188×	body	80	valid
150.0ms	2439×	body	80	invalid
123.0ms	633×	body	320	valid
114.0ms	628×	body	320	invalid
42.0ms	341×	body	160	valid
37.0ms	291×	body	160	invalid

Details

analyze358.0ms (6.9%)

sample94.0ms (1.8%)

simplify82.0ms (1.6%)

prune10.0ms (0.2%)

localize11.0ms (0.2%)

rewrite17.0ms (0.3%)

series19.0ms (0.4%)

simplify28.0ms (0.5%)

prune85.0ms (1.6%)

localize19.0ms (0.4%)

rewrite24.0ms (0.5%)

series19.0ms (0.4%)

simplify50.0ms (1%)

prune388.0ms (7.5%)

localize11.0ms (0.2%)

rewrite24.0ms (0.5%)

series34.0ms (0.6%)

simplify25.0ms (0.5%)

prune126.0ms (2.4%)

localize13.0ms (0.2%)

rewrite51.0ms (1%)

series40.0ms (0.8%)

simplify53.0ms (1%)

prune220.0ms (4.2%)

regimes197.0ms (3.8%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample3.2s (61.5%)

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