Metrics for Maksimov and Kolovsky, Equation (32)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 31 to 23 computations (25.8% saved)

sample2.0s (19.5%)

Memory

-168.1MiB live, 3 096.4MiB allocated

Samples

1.4s	7 846×	0	valid
170.0ms	410×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-pow2: 292.0ms (23.2% of total)

ival-sub: 241.0ms (19.1% of total)

ival-mult: 168.0ms (13.3% of total)

ival-div: 142.0ms (11.3% of total)

ival-exp: 140.0ms (11.1% of total)

ival-cos: 83.0ms (6.6% of total)

ival-add: 73.0ms (5.8% of total)

ival-neg: 41.0ms (3.3% of total)

ival-fabs: 40.0ms (3.2% of total)

adjust: 23.0ms (1.8% of total)

ival-true: 7.0ms (0.6% of total)

exact: 6.0ms (0.5% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain359.0ms (3.4%)

Memory

-23.9MiB live, 572.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
173	34	(2.372982130189143e-164 3.4650698844235273e-308 -3.8833728290334354e-116 1.1037971626851384e+221 2.6855049241514824e-185)	-	`(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))`
0	0	-	-	`(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))`
0	0	-	-	`K`
0	0	-	-	`(/.f64 (+.f64 m n) #s(literal 2 binary64))`
0	0	-	-	`(-.f64 l (fabs.f64 (-.f64 m n)))`
0	0	-	-	`(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))`
0	0	-	-	`(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))`
0	0	-	-	`(+.f64 m n)`
0	0	-	-	`(fabs.f64 (-.f64 m n))`
0	0	-	-	`m`
0	0	-	-	`(*.f64 K (+.f64 m n))`
0	0	-	-	`n`
0	0	-	-	`(exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))`
0	0	-	-	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))`
0	0	-	-	`(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)`
0	0	-	-	`(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))`
0	0	-	-	`(-.f64 m n)`
0	0	-	-	`(-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`l`
0	0	-	-	`M`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))`	sensitivity	159	0
`cos.f64`	`(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))`	oflow-rescue	48	0
↳	`(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))`	overflow	48
↳	`(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)`	overflow	48
↳	`(*.f64 K (+.f64 m n))`	overflow	48

Confusion

	Predicted +	Predicted -
+	62	0
-	145	49

Precision

0.2995169082125604

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	62	0	0
-	145	0	49

Precision?

0.2995169082125604

Recall?

1.0

Freqs

test

number	freq
0	49
1	207

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

146.0ms	410×	1	valid
15.0ms	102×	0	valid

Compiler

Compiled 477 to 88 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-sub: 24.0ms (20.2% of total)

adjust: 18.0ms (15.1% of total)

ival-cos: 18.0ms (15.1% of total)

ival-div: 13.0ms (10.9% of total)

ival-mult: 12.0ms (10.1% of total)

ival-pow2: 11.0ms (9.3% of total)

ival-fabs: 7.0ms (5.9% of total)

ival-add: 5.0ms (4.2% of total)

ival-exp: 4.0ms (3.4% of total)

ival-neg: 4.0ms (3.4% of total)

ival-true: 1.0ms (0.8% of total)

ival-assert: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess150.0ms (1.4%)

Memory

37.6MiB live, 192.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	597
1	575	589
2	1511	565
3	5225	565
0	21	29
0	36	29
1	67	29
2	134	28
3	376	28
4	1307	28
5	4682	28
0	8522	27

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs

(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))

Outputs

(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))) (cos.f64 (fma.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K M)))

Symmetry

(sort m n)

Compiler

Compiled 29 to 21 computations (27.6% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.2%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))

Status

Accuracy

Program

▶

76.2%

(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify119.0ms (1.1%)

Memory

-16.6MiB live, 139.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
cost-diff	128	(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))
cost-diff	384	(/.f64 (+.f64 m n) #s(literal 2 binary64))
cost-diff	512	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	148
0	36	148
1	67	148
2	134	145
3	376	145
4	1307	145
5	4682	145
0	8522	143

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
(*.f64 K (+.f64 m n))
K
(+.f64 m n)
m
n
#s(literal 2 binary64)
M
(exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))
(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))
(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)
(/.f64 (+.f64 m n) #s(literal 2 binary64))
(-.f64 l (fabs.f64 (-.f64 m n)))
l
(fabs.f64 (-.f64 m n))
(-.f64 m n)

Outputs
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))) (cos.f64 (fma.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K M)))
(cos.f64 (fma.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K M))
(-.f64 (/.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64)) M)
(/.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64))
(*.f64 (+.f64 n m) K)
K
(+.f64 n m)
m
n
#s(literal 2 binary64)
M
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))
(pow.f64 (-.f64 (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) M)
(*.f64 (+.f64 n m) #s(literal 1/2 binary64))
(-.f64 l (fabs.f64 (-.f64 n m)))
l
(fabs.f64 (-.f64 n m))
(-.f64 m n)

localize96.0ms (0.9%)

Memory

9.7MiB live, 129.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 l (fabs.f64 (-.f64 m n)))
accuracy	0.01171875	(*.f64 K (+.f64 m n))
accuracy	0.01953125	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
accuracy	39.322373993190055	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))

Samples

71.0ms	205×	1	valid
7.0ms	51×	0	valid

Compiler

Compiled 298 to 44 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-cos: 12.0ms (21.1% of total)

ival-sub: 10.0ms (17.6% of total)

adjust: 9.0ms (15.8% of total)

ival-div: 6.0ms (10.6% of total)

ival-mult: 6.0ms (10.6% of total)

ival-pow2: 5.0ms (8.8% of total)

ival-add: 3.0ms (5.3% of total)

ival-exp: 2.0ms (3.5% of total)

ival-neg: 2.0ms (3.5% of total)

ival-fabs: 2.0ms (3.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series46.0ms (0.4%)

Memory

-17.0MiB live, 58.4MiB allocated

Counts

7 → 288

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 m n) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 K (+.f64 m n)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 l (fabs.f64 (-.f64 m n))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (*.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (*.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (*.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (*.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (*.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (*.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (*.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf K) (#s(alt #<batchref> (patch (*.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf K) (#s(alt #<batchref> (patch (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf K) (#s(alt #<batchref> (patch (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf K) (#s(alt #<batchref> (patch (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (-.f64 l (fabs.f64 (-.f64 m n))) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	m	@	0	((cos (- (/ (* K (+ m n)) 2) M)) (/ (+ m n) 2) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (pow (- (/ (+ m n) 2) M) 2) (* K (+ m n)) (- l (fabs (- m n))))
4.0ms	n	@	0	((cos (- (/ (* K (+ m n)) 2) M)) (/ (+ m n) 2) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (pow (- (/ (+ m n) 2) M) 2) (* K (+ m n)) (- l (fabs (- m n))))
3.0ms	n	@	inf	((cos (- (/ (* K (+ m n)) 2) M)) (/ (+ m n) 2) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (pow (- (/ (+ m n) 2) M) 2) (* K (+ m n)) (- l (fabs (- m n))))
3.0ms	n	@	-inf	((cos (- (/ (* K (+ m n)) 2) M)) (/ (+ m n) 2) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (pow (- (/ (+ m n) 2) M) 2) (* K (+ m n)) (- l (fabs (- m n))))
2.0ms	m	@	inf	((cos (- (/ (* K (+ m n)) 2) M)) (/ (+ m n) 2) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (pow (- (/ (+ m n) 2) M) 2) (* K (+ m n)) (- l (fabs (- m n))))

simplify213.0ms (2%)

Memory

23.1MiB live, 177.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	594	6515
1	1844	6307
2	6304	6293
0	8026	6091

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 286

Calls

Call 1

Inputs
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(cos (- (* 1/2 (* K m)) M))
(+ (cos (- (* 1/2 (* K m)) M)) (* -1/2 (* K (* n (sin (- (* 1/2 (* K m)) M))))))
(+ (cos (- (* 1/2 (* K m)) M)) (* n (- (* -1/8 (* (pow K 2) (* n (cos (- (* 1/2 (* K m)) M))))) (* 1/2 (* K (sin (- (* 1/2 (* K m)) M)))))))
(+ (cos (- (* 1/2 (* K m)) M)) (* n (- (* n (+ (* -1/8 (* (pow K 2) (cos (- (* 1/2 (* K m)) M)))) (* 1/48 (* (pow K 3) (* n (sin (- (* 1/2 (* K m)) M))))))) (* 1/2 (* K (sin (- (* 1/2 (* K m)) M)))))))
(* 1/2 m)
(+ (* 1/2 m) (* 1/2 n))
(+ (* 1/2 m) (* 1/2 n))
(+ (* 1/2 m) (* 1/2 n))
(- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))
(- (+ (fabs (- m n)) (* n (- M (* 1/2 m)))) (+ l (pow (- (* 1/2 m) M) 2)))
(- (+ (fabs (- m n)) (* n (- (+ M (* -1/4 n)) (* 1/2 m)))) (+ l (pow (- (* 1/2 m) M) 2)))
(- (+ (fabs (- m n)) (* n (- (+ M (* -1/4 n)) (* 1/2 m)))) (+ l (pow (- (* 1/2 m) M) 2)))
(* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))))
(+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m)))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))
(+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* (sin (- (* 1/2 (* K m)) M)) (- M (* 1/2 m)))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4)))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))
(+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* (sin (- (* 1/2 (* K m)) M)) (- M (* 1/2 m)))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))) (+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* (sin (- (* 1/2 (* K m)) M)) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m)))))) (+ (* 1/48 (* (pow K 3) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (+ (* -1/4 (- M (* 1/2 m))) (* 1/6 (pow (- M (* 1/2 m)) 3))))))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4))))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))
(pow (- (* 1/2 m) M) 2)
(+ (* n (- (* 1/2 m) M)) (pow (- (* 1/2 m) M) 2))
(+ (* n (- (+ (* 1/4 n) (* 1/2 m)) M)) (pow (- (* 1/2 m) M) 2))
(+ (* n (- (+ (* 1/4 n) (* 1/2 m)) M)) (pow (- (* 1/2 m) M) 2))
(* K m)
(+ (* K m) (* K n))
(+ (* K m) (* K n))
(+ (* K m) (* K n))
(- l (fabs (- m n)))
(- l (fabs (- m n)))
(- l (fabs (- m n)))
(- l (fabs (- m n)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* 1/2 n)
(* n (+ 1/2 (* 1/2 (/ m n))))
(* n (+ 1/2 (* 1/2 (/ m n))))
(* n (+ 1/2 (* 1/2 (/ m n))))
(* -1/4 (pow n 2))
(* (pow n 2) (- (/ M n) (+ 1/4 (* 1/2 (/ m n)))))
(* (pow n 2) (- (+ (/ M n) (/ (fabs (- m n)) (pow n 2))) (+ 1/4 (+ (* 1/2 (/ m n)) (+ (/ l (pow n 2)) (/ (pow (- (* 1/2 m) M) 2) (pow n 2)))))))
(* (pow n 2) (- (+ (/ M n) (/ (fabs (- m n)) (pow n 2))) (+ 1/4 (+ (* 1/2 (/ m n)) (+ (/ l (pow n 2)) (/ (pow (- (* 1/2 m) M) 2) (pow n 2)))))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* 1/4 (pow n 2))
(* (pow n 2) (- (+ 1/4 (* 1/2 (/ m n))) (/ M n)))
(* (pow n 2) (- (+ 1/4 (+ (* 1/2 (/ m n)) (/ (pow (- (* 1/2 m) M) 2) (pow n 2)))) (/ M n)))
(* (pow n 2) (- (+ 1/4 (+ (* 1/2 (/ m n)) (/ (pow (- (* 1/2 m) M) 2) (pow n 2)))) (/ M n)))
(* K n)
(* n (+ K (/ (* K m) n)))
(* n (+ K (/ (* K m) n)))
(* n (+ K (/ (* K m) n)))
(- l (fabs (- m n)))
(- l (fabs (- m n)))
(- l (fabs (- m n)))
(- l (fabs (- m n)))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(* 1/2 n)
(* -1 (* n (- (* -1/2 (/ m n)) 1/2)))
(* -1 (* n (- (* -1/2 (/ m n)) 1/2)))
(* -1 (* n (- (* -1/2 (/ m n)) 1/2)))
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(* (pow n 2) (- (* -1 (/ (- (* 1/2 m) M) n)) 1/4))
(* (pow n 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 m) M) 2))) n)) (* -1 (- (* 1/2 m) M))) n)) 1/4))
(* (pow n 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 m) M) 2))) n)) (* -1 (- (* 1/2 m) M))) n)) 1/4))
(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
(* 1/4 (pow n 2))
(* (pow n 2) (- (+ 1/4 (* 1/2 (/ m n))) (/ M n)))
(* (pow n 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 m) M)) (* -1 (/ (pow (- (* 1/2 m) M) 2) n))) n))))
(* (pow n 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 m) M)) (* -1 (/ (pow (- (* 1/2 m) M) 2) n))) n))))
(* K n)
(* -1 (* n (+ (* -1 K) (* -1 (/ (* K m) n)))))
(* -1 (* n (+ (* -1 K) (* -1 (/ (* K m) n)))))
(* -1 (* n (+ (* -1 K) (* -1 (/ (* K m) n)))))
(- l (fabs (+ m (* -1 n))))
(- l (fabs (+ m (* -1 n))))
(- l (fabs (+ m (* -1 n))))
(- l (fabs (+ m (* -1 n))))
(- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))
(- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))
(- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))
(- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))
(+ (* -1 (* l (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))))) (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* l (+ (* -1 (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))) (* 1/2 (* l (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))))))) (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* l (+ (* -1 (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))) (* l (+ (* -1/6 (* l (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))))) (* 1/2 (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))))))) (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))))
(* -1 (fabs (- m n)))
(- l (fabs (- m n)))
(- l (fabs (- m n)))
(- l (fabs (- m n)))
(* -1 l)
(* l (- (/ (fabs (- m n)) l) (+ 1 (/ (pow (- (* 1/2 (+ m n)) M) 2) l))))
(* l (- (/ (fabs (- m n)) l) (+ 1 (/ (pow (- (* 1/2 (+ m n)) M) 2) l))))
(* l (- (/ (fabs (- m n)) l) (+ 1 (/ (pow (- (* 1/2 (+ m n)) M) 2) l))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
l
(* l (+ 1 (* -1 (/ (fabs (- m n)) l))))
(* l (+ 1 (* -1 (/ (fabs (- m n)) l))))
(* l (+ 1 (* -1 (/ (fabs (- m n)) l))))
(* -1 l)
(* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)) l)))))
(* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)) l)))))
(* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)) l)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))))
l
(* -1 (* l (- (/ (fabs (- m n)) l) 1)))
(* -1 (* l (- (/ (fabs (- m n)) l) 1)))
(* -1 (* l (- (/ (fabs (- m n)) l) 1)))
(cos (* 1/2 (* K (+ m n))))
(+ (cos (* 1/2 (* K (+ m n)))) (* M (sin (* 1/2 (* K (+ m n))))))
(+ (cos (* 1/2 (* K (+ m n)))) (* M (- (* -1/2 (* M (cos (* 1/2 (* K (+ m n)))))) (* -1 (sin (* 1/2 (* K (+ m n))))))))
(+ (cos (* 1/2 (* K (+ m n)))) (* M (- (* M (+ (* -1/2 (cos (* 1/2 (* K (+ m n))))) (* -1/6 (* M (sin (* 1/2 (* K (+ m n)))))))) (* -1 (sin (* 1/2 (* K (+ m n))))))))
(- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))
(- (+ (fabs (- m n)) (* M (+ m n))) (+ l (* 1/4 (pow (+ m n) 2))))
(- (+ (fabs (- m n)) (* M (- (* -1 M) (* -1 (+ m n))))) (+ l (* 1/4 (pow (+ m n) 2))))
(- (+ (fabs (- m n)) (* M (- (* -1 M) (* -1 (+ m n))))) (+ l (* 1/4 (pow (+ m n) 2))))
(* (cos (* 1/2 (* K (+ m n)))) (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))))
(+ (* M (+ (* (cos (* 1/2 (* K (+ m n)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ m n))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (sin (* 1/2 (* K (+ m n))))))) (* (cos (* 1/2 (* K (+ m n)))) (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))))))
(+ (* M (+ (* M (+ (* -1/2 (* (cos (* 1/2 (* K (+ m n)))) (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))))) (+ (* (cos (* 1/2 (* K (+ m n)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (- (* 1/2 (pow (+ m n) 2)) 1))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* (sin (* 1/2 (* K (+ m n)))) (+ m n)))))) (+ (* (cos (* 1/2 (* K (+ m n)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ m n))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (sin (* 1/2 (* K (+ m n)))))))) (* (cos (* 1/2 (* K (+ m n)))) (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))))))
(+ (* M (+ (* M (+ (* -1/2 (* (cos (* 1/2 (* K (+ m n)))) (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))))) (+ (* M (+ (* -1/2 (* (cos (* 1/2 (* K (+ m n)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ m n)))) (+ (* -1/6 (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (sin (* 1/2 (* K (+ m n)))))) (+ (* (cos (* 1/2 (* K (+ m n)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ (* -1 (+ m n)) (* 1/6 (pow (+ m n) 3))))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* (sin (* 1/2 (* K (+ m n)))) (- (* 1/2 (pow (+ m n) 2)) 1))))))) (+ (* (cos (* 1/2 (* K (+ m n)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (- (* 1/2 (pow (+ m n) 2)) 1))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* (sin (* 1/2 (* K (+ m n)))) (+ m n))))))) (+ (* (cos (* 1/2 (* K (+ m n)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ m n))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (sin (* 1/2 (* K (+ m n)))))))) (* (cos (* 1/2 (* K (+ m n)))) (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))))))
(* 1/4 (pow (+ m n) 2))
(+ (* -1 (* M (+ m n))) (* 1/4 (pow (+ m n) 2)))
(+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* -1 (+ m n)))))
(+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* -1 (+ m n)))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* -1 (pow M 2))
(* (pow M 2) (- (+ (/ m M) (/ n M)) 1))
(* (pow M 2) (- (/ (fabs (- m n)) (pow M 2)) (+ 1 (+ (* -1 (/ (+ m n) M)) (+ (* 1/4 (/ (pow (+ m n) 2) (pow M 2))) (/ l (pow M 2)))))))
(* (pow M 2) (- (/ (fabs (- m n)) (pow M 2)) (+ 1 (+ (* -1 (/ (+ m n) M)) (+ (* 1/4 (/ (pow (+ m n) 2) (pow M 2))) (/ l (pow M 2)))))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(pow M 2)
(* (pow M 2) (+ 1 (* -1 (/ (+ m n) M))))
(* (pow M 2) (+ 1 (+ (* -1 (/ (+ m n) M)) (* 1/4 (/ (pow (+ m n) 2) (pow M 2))))))
(* (pow M 2) (+ 1 (+ (* -1 (/ (+ m n) M)) (* 1/4 (/ (pow (+ m n) 2) (pow M 2))))))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(* -1 (pow M 2))
(* (pow M 2) (- (+ (/ m M) (/ n M)) 1))
(* (pow M 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))) M)) (+ m n)) M)) 1))
(* (pow M 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))) M)) (+ m n)) M)) 1))
(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2)))))
(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2)))))
(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2)))))
(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2)))))
(pow M 2)
(* (pow M 2) (+ 1 (* -1 (/ (+ m n) M))))
(* (pow M 2) (+ 1 (* -1 (/ (+ m (+ n (* -1/4 (/ (pow (+ m n) 2) M)))) M))))
(* (pow M 2) (+ 1 (* -1 (/ (+ m (+ n (* -1/4 (/ (pow (+ m n) 2) M)))) M))))
(cos (- (* 1/2 (* K n)) M))
(+ (cos (- (* 1/2 (* K n)) M)) (* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M))))))
(+ (cos (- (* 1/2 (* K n)) M)) (* m (- (* -1/8 (* (pow K 2) (* m (cos (- (* 1/2 (* K n)) M))))) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(+ (cos (- (* 1/2 (* K n)) M)) (* m (- (* m (+ (* -1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) (* 1/48 (* (pow K 3) (* m (sin (- (* 1/2 (* K n)) M))))))) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(* 1/2 n)
(+ (* 1/2 m) (* 1/2 n))
(+ (* 1/2 m) (* 1/2 n))
(+ (* 1/2 m) (* 1/2 n))
(- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))
(- (+ (fabs (- m n)) (* m (- M (* 1/2 n)))) (+ l (pow (- (* 1/2 n) M) 2)))
(- (+ (fabs (- m n)) (* m (- (+ M (* -1/4 m)) (* 1/2 n)))) (+ l (pow (- (* 1/2 n) M) 2)))
(- (+ (fabs (- m n)) (* m (- (+ M (* -1/4 m)) (* 1/2 n)))) (+ l (pow (- (* 1/2 n) M) 2)))
(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
(+ (* m (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (- (* 1/2 (* K n)) M))))) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n)))))) (* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))
(+ (* m (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (- (* 1/2 (* K n)) M))))) (+ (* m (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (* (sin (- (* 1/2 (* K n)) M)) (- M (* 1/2 n)))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 n)) 2)) 1/4)))))) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n))))))) (* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))
(+ (* m (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (- (* 1/2 (* K n)) M))))) (+ (* m (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (* (sin (- (* 1/2 (* K n)) M)) (- M (* 1/2 n)))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))) (+ (* m (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (* (sin (- (* 1/2 (* K n)) M)) (- (* 1/2 (pow (- M (* 1/2 n)) 2)) 1/4))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n)))))) (+ (* 1/48 (* (pow K 3) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (- (* 1/2 (* K n)) M))))) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (+ (* -1/4 (- M (* 1/2 n))) (* 1/6 (pow (- M (* 1/2 n)) 3))))))))) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 n)) 2)) 1/4))))))) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n))))))) (* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))
(pow (- (* 1/2 n) M) 2)
(+ (* m (- (* 1/2 n) M)) (pow (- (* 1/2 n) M) 2))
(+ (* m (- (+ (* 1/4 m) (* 1/2 n)) M)) (pow (- (* 1/2 n) M) 2))
(+ (* m (- (+ (* 1/4 m) (* 1/2 n)) M)) (pow (- (* 1/2 n) M) 2))
(* K n)
(+ (* K m) (* K n))
(+ (* K m) (* K n))
(+ (* K m) (* K n))
(- l (fabs (- m n)))
(- l (fabs (- m n)))
(- l (fabs (- m n)))
(- l (fabs (- m n)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* 1/2 m)
(* m (+ 1/2 (* 1/2 (/ n m))))
(* m (+ 1/2 (* 1/2 (/ n m))))
(* m (+ 1/2 (* 1/2 (/ n m))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (/ M m) (+ 1/4 (* 1/2 (/ n m)))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* 1/4 (pow m 2))
(* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))
(* (pow m 2) (- (+ 1/4 (+ (* 1/2 (/ n m)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))) (/ M m)))
(* (pow m 2) (- (+ 1/4 (+ (* 1/2 (/ n m)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))) (/ M m)))
(* K m)
(* m (+ K (/ (* K n) m)))
(* m (+ K (/ (* K n) m)))
(* m (+ K (/ (* K n) m)))
(- l (fabs (- m n)))
(- l (fabs (- m n)))
(- l (fabs (- m n)))
(- l (fabs (- m n)))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(* 1/2 m)
(* -1 (* m (- (* -1/2 (/ n m)) 1/2)))
(* -1 (* m (- (* -1/2 (/ n m)) 1/2)))
(* -1 (* m (- (* -1/2 (/ n m)) 1/2)))
(* -1/4 (pow m 2))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* 1/4 (pow m 2))
(* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))
(* K m)
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(- l (fabs (neg (+ n (* -1 m)))))
(- l (fabs (neg (+ n (* -1 m)))))
(- l (fabs (neg (+ n (* -1 m)))))
(- l (fabs (neg (+ n (* -1 m)))))

Outputs
(cos.f64 M)
(fma.f64 (.f64 #s(literal -1/2 binary64) K) (.f64 (+.f64 n m) (neg.f64 (sin.f64 M))) (cos.f64 M))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 n m)) (neg.f64 (sin.f64 M)) (.f64 (.f64 K (.f64 #s(literal -1/8 binary64) (cos.f64 M))) (pow.f64 (+.f64 n m) #s(literal 2 binary64)))) K (cos.f64 M))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (+.f64 n m)) (neg.f64 (sin.f64 M)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64))) (cos.f64 M) (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))))) K)) K (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(fma.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(literal -1/2 binary64)) (.f64 (.f64 (+.f64 n m) K) (neg.f64 (sin.f64 M))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 K (.f64 #s(literal -1/8 binary64) (cos.f64 M))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (pow.f64 (+.f64 n m) #s(literal 2 binary64))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 n m)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (neg.f64 (sin.f64 M))) (.f64 (+.f64 n m) #s(literal -1/2 binary64)) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))) K)) K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(*.f64 (+.f64 n m) K)
(*.f64 (+.f64 n m) K)
(*.f64 (+.f64 n m) K)
(*.f64 (+.f64 n m) K)
(cos.f64 (fma.f64 (*.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M)))
(.f64 (cos.f64 (fma.f64 (.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 (.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 (.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 (.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(*.f64 (+.f64 n m) K)
(*.f64 (+.f64 n m) K)
(*.f64 (+.f64 n m) K)
(*.f64 (+.f64 n m) K)
(cos.f64 (fma.f64 (*.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M)))
(.f64 (cos.f64 (fma.f64 (.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 (.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 (.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 (.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(*.f64 (+.f64 n m) K)
(*.f64 (+.f64 n m) K)
(*.f64 (+.f64 n m) K)
(*.f64 (+.f64 n m) K)
(cos.f64 (fma.f64 (*.f64 m K) #s(literal 1/2 binary64) (neg.f64 M)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) n) (sin.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) K) (sin.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))) (.f64 (.f64 (.f64 (.f64 K K) #s(literal -1/8 binary64)) n) (cos.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))))) n (cos.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) K) (sin.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))) (.f64 (fma.f64 (.f64 (.f64 (pow.f64 K #s(literal 3 binary64)) #s(literal 1/48 binary64)) n) (sin.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))) (.f64 (.f64 (.f64 K K) #s(literal -1/8 binary64)) (cos.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))))) n)) n (cos.f64 (fma.f64 (*.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))))
(*.f64 #s(literal 1/2 binary64) m)
(*.f64 #s(literal 1/2 binary64) (+.f64 n m))
(*.f64 #s(literal 1/2 binary64) (+.f64 n m))
(*.f64 #s(literal 1/2 binary64) (+.f64 n m))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l))
(-.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) m M) n (fabs.f64 (-.f64 m n))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l))
(-.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) n (fma.f64 #s(literal -1/2 binary64) m M)) n (fabs.f64 (-.f64 m n))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l))
(-.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) n (fma.f64 #s(literal -1/2 binary64) m M)) n (fabs.f64 (-.f64 m n))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l))
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(*.f64 m K)
(*.f64 (fma.f64 (/.f64 n m) K K) m)
(*.f64 (fma.f64 (/.f64 n m) K K) m)
(*.f64 (fma.f64 (/.f64 n m) K K) m)
(-.f64 l (fabs.f64 (-.f64 m n)))
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(-.f64 l (fabs.f64 (-.f64 m n)))

rewrite230.0ms (2.2%)

Memory

-1.3MiB live, 152.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	81
0	36	81
1	160	81
2	1256	81
0	8298	81

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

7 → 326

Calls

Call 1

Inputs
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(/.f64 (+.f64 m n) #s(literal 2 binary64))
(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
(*.f64 K (+.f64 m n))
(-.f64 l (fabs.f64 (-.f64 m n)))

Outputs
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eval190.0ms (1.8%)

Memory: -0.7MiB live, 115.2MiB allocated
Compiler: Compiled 33 369 to 2 659 computations (92% saved)

prune64.0ms (0.6%)

Memory

12.6MiB live, 51.9MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	597	15	612
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	598	15	613

Accuracy

97.8%

Counts

613 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.5%	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64))) K) (fma.f64 n (-.f64 n m) (*.f64 m m))) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	41.3%	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (*.f64 (+.f64 n m) (-.f64 m n)) K) (-.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	76.6%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (*.f64 (/.f64 (+.f64 n m) (+.f64 n m)) (/.f64 (-.f64 m n) (-.f64 m n))) (/.f64 K (pow.f64 (+.f64 n m) #s(literal -1 binary64)))) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	44.0%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
	41.3%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
	39.1%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
▶	30.5%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	61.4%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (.f64 (.f64 (.f64 (.f64 K K) #s(literal -1/8 binary64)) m) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) m (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	57.9%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) K) (sin.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))) (.f64 (.f64 (.f64 (.f64 K K) #s(literal -1/8 binary64)) n) (cos.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))))) n (cos.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	76.9%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	81.9%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (.f64 #s(literal -1/2 binary64) K) (.f64 (+.f64 n m) (neg.f64 (sin.f64 M))) (cos.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	67.8%	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))) (cos.f64 (.f64 (*.f64 (+.f64 n m) K) #s(literal 1/2 binary64)))))
▶	94.0%	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
▶	68.6%	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))))
	63.8%	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M)))))

Compiler

Compiled 1 408 to 946 computations (32.8% saved)

simplify173.0ms (1.7%)

Memory

-7.4MiB live, 110.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))))
cost-diff	0	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
cost-diff	128	(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))
cost-diff	128	(cos.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
cost-diff	0	(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)))
cost-diff	0	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))
cost-diff	0	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))))
cost-diff	128	(cos.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
cost-diff	0	(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
cost-diff	0	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
cost-diff	0	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
cost-diff	0	(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
cost-diff	0	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
cost-diff	0	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
cost-diff	0	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))
cost-diff	0	(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
cost-diff	0	(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
cost-diff	0	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	790
0	124	790
1	207	790
2	398	779
3	1168	779
4	5106	779
0	8042	772

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))
(fabs.f64 (-.f64 m n))
(-.f64 m n)
m
n
(+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M))
#s(literal 1/2 binary64)
(+.f64 n m)
(neg.f64 M)
M
#s(literal 2 binary64)
l
(cos.f64 M)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
(*.f64 K (+.f64 m n))
K
(+.f64 m n)
m
n
#s(literal 2 binary64)
M
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
(*.f64 K (+.f64 m n))
K
(+.f64 m n)
m
n
#s(literal 2 binary64)
M
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))
(.f64 (.f64 n n) #s(literal -1/4 binary64))
(*.f64 n n)
#s(literal -1/4 binary64)
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))
(fabs.f64 (-.f64 m n))
(-.f64 m n)
m
n
(+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)
(pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))
#s(literal 1/2 binary64)
(neg.f64 M)
M
#s(literal 2 binary64)
l
(cos.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
(fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))
(*.f64 n K)
K
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))
(.f64 (.f64 #s(literal -1/2 binary64) K) m)
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
m
(sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
(fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))
(*.f64 n K)
n
#s(literal 1/2 binary64)
(neg.f64 M)
M
(cos.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
(exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))
(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))
(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)
(/.f64 (+.f64 m n) #s(literal 2 binary64))
(+.f64 m n)
#s(literal 2 binary64)
(-.f64 l (fabs.f64 (-.f64 m n)))
l
(fabs.f64 (-.f64 m n))
(-.f64 m n)

Outputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 n m) M)) #s(literal 2 binary64)) l)))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 n m) M)) #s(literal 2 binary64)) l))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 n m) M)) #s(literal 2 binary64)) l)))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 n m) M)) #s(literal 2 binary64)) l))
(fabs.f64 (-.f64 n m))
(-.f64 m n)
m
n
(+.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 n m) M)) #s(literal 2 binary64)) l)
(pow.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 n m) M)) #s(literal 2 binary64))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 n m) M))
#s(literal 1/2 binary64)
(+.f64 n m)
(neg.f64 M)
M
#s(literal 2 binary64)
l
(cos.f64 M)
(.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) (cos.f64 (-.f64 M (/.f64 (.f64 (+.f64 n m) K) #s(literal 2 binary64)))))
(cos.f64 (-.f64 M (/.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64)) M)
(/.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64))
(*.f64 (+.f64 n m) K)
K
(+.f64 n m)
m
n
#s(literal 2 binary64)
M
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
(.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 #s(literal -1/4 binary64) (.f64 n n)))) (cos.f64 (-.f64 M (/.f64 (.f64 (+.f64 n m) K) #s(literal 2 binary64)))))
(cos.f64 (-.f64 M (/.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64)) M)
(/.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64))
(*.f64 (+.f64 n m) K)
K
(+.f64 n m)
m
n
#s(literal 2 binary64)
M
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 #s(literal -1/4 binary64) (.f64 n n))))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 #s(literal -1/4 binary64) (.f64 n n)))
(.f64 #s(literal -1/4 binary64) (.f64 n n))
(*.f64 n n)
#s(literal -1/4 binary64)
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (cos.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) K) n M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)))))
(.f64 (cos.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) K) n M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))
(fabs.f64 (-.f64 n m))
(-.f64 m n)
m
n
(+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)
(pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))
#s(literal 1/2 binary64)
(neg.f64 M)
M
#s(literal 2 binary64)
l
(cos.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) K) n M))
(fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))
(*.f64 n K)
K
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l)) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (.f64 (.f64 #s(literal -1/2 binary64) K) m) (cos.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) K) n M)))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (.f64 (.f64 #s(literal -1/2 binary64) K) m) (cos.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) K) n M))))
(fma.f64 (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (.f64 (.f64 #s(literal -1/2 binary64) K) m) (cos.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) K) n M)))
(.f64 (.f64 #s(literal -1/2 binary64) K) m)
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
m
(sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
(fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))
(*.f64 n K)
n
#s(literal 1/2 binary64)
(neg.f64 M)
M
(cos.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) K) n M))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l)
(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M)
(/.f64 (+.f64 n m) #s(literal 2 binary64))
(+.f64 n m)
#s(literal 2 binary64)
(-.f64 l (fabs.f64 (-.f64 n m)))
l
(fabs.f64 (-.f64 n m))
(-.f64 m n)

localize502.0ms (4.8%)

Memory

-6.7MiB live, 320.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11556625976844201	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))
accuracy	29.626176087375416	(cos.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
accuracy	29.723712605690324	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))))
accuracy	29.757741338384317	(sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
accuracy	0.00390625	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))
accuracy	0.01953125	(pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64))
accuracy	12.236450267272346	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))))
accuracy	29.626176087375416	(cos.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
accuracy	0	(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))))
accuracy	0.01171875	(*.f64 K (+.f64 m n))
accuracy	38.64466221530783	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))
accuracy	39.322373993190055	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
accuracy	0	(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
accuracy	0.01171875	(*.f64 K (+.f64 m n))
accuracy	39.322373993190055	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
accuracy	51.84711452245609	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
accuracy	0	(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
accuracy	0	(cos.f64 M)
accuracy	0.01953125	(pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64))
accuracy	3.8100387001685694	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))

Samples

323.0ms	205×	1	valid
70.0ms	51×	0	valid

Compiler

Compiled 1 484 to 129 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 246.0ms

ival-mult: 77.0ms (31.3% of total)

adjust: 42.0ms (17.1% of total)

ival-sub: 42.0ms (17.1% of total)

ival-cos: 24.0ms (9.7% of total)

ival-add: 17.0ms (6.9% of total)

ival-pow2: 13.0ms (5.3% of total)

ival-sin: 11.0ms (4.5% of total)

ival-exp: 6.0ms (2.4% of total)

ival-div: 6.0ms (2.4% of total)

ival-neg: 4.0ms (1.6% of total)

ival-fabs: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series250.0ms (2.4%)

Memory

21.7MiB live, 179.3MiB allocated

Counts

26 → 1 200

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 M) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 K (+.f64 m n)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (*.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (*.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (*.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (*.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
34.0ms	n	@	inf	((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (/ (* K (+ m n)) 2) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (+ (* (* n K) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (cos (+ (* (* n K) 1/2) (neg M)))) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (cos M) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* K (+ m n)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (pow (+ (* 1/2 n) (neg M)) 2) (sin (+ (* (* n K) 1/2) (neg M))) (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))))
30.0ms	M	@	inf	((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (/ (* K (+ m n)) 2) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (+ (* (* n K) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (cos (+ (* (* n K) 1/2) (neg M)))) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (cos M) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* K (+ m n)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (pow (+ (* 1/2 n) (neg M)) 2) (sin (+ (* (* n K) 1/2) (neg M))) (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))))
8.0ms	n	@	-inf	((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (/ (* K (+ m n)) 2) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (+ (* (* n K) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (cos (+ (* (* n K) 1/2) (neg M)))) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (cos M) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* K (+ m n)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (pow (+ (* 1/2 n) (neg M)) 2) (sin (+ (* (* n K) 1/2) (neg M))) (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))))
8.0ms	M	@	0	((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (/ (* K (+ m n)) 2) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (+ (* (* n K) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (cos (+ (* (* n K) 1/2) (neg M)))) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (cos M) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* K (+ m n)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (pow (+ (* 1/2 n) (neg M)) 2) (sin (+ (* (* n K) 1/2) (neg M))) (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))))
6.0ms	n	@	0	((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (/ (* K (+ m n)) 2) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (+ (* (* n K) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (cos (+ (* (* n K) 1/2) (neg M)))) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (cos M) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* K (+ m n)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (pow (+ (* 1/2 n) (neg M)) 2) (sin (+ (* (* n K) 1/2) (neg M))) (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))))

simplify394.0ms (3.8%)

Memory

-1.4MiB live, 219.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1207	36709
1	3899	35289
0	8582	34154

Stop Event

1×	iter limit
1×	node limit

Counts

1 200 → 1 200

Calls

Call 1

Inputs
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(* -1 M)
(- (* 1/2 (* K (+ m n))) M)
(- (* 1/2 (* K (+ m n))) M)
(- (* 1/2 (* K (+ m n))) M)
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* n (sin (neg M))))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (pow n 2) (cos (neg M))))) (* 1/2 (* n (sin (neg M)))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (pow n 2) (cos (neg M)))) (* 1/48 (* K (* (pow n 3) (sin (neg M))))))) (* 1/2 (* n (sin (neg M)))))))
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(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (* m (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n)))))
(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (* m (+ (* m (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 n)) 2)) 1/4))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n))))))
(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (* m (+ (* m (+ (* m (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (+ (* -1/4 (- M (* 1/2 n))) (* 1/6 (pow (- M (* 1/2 n)) 3))))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 n)) 2)) 1/4)))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n))))))
(cos (- (* 1/2 (* K n)) M))
(+ (cos (- (* 1/2 (* K n)) M)) (* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M))))))
(+ (cos (- (* 1/2 (* K n)) M)) (* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M))))))
(+ (cos (- (* 1/2 (* K n)) M)) (* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M))))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos M) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos M) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos M) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos M) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (/ M m) (+ 1/4 (* 1/2 (/ n m)))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* 1/2 (* K m))
(* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m)))
(* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m)))
(* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m)))
(* 1/2 (* K m))
(* m (+ (* 1/2 K) (* 1/2 (/ (* K n) m))))
(* m (+ (* 1/2 K) (* 1/2 (/ (* K n) m))))
(* m (+ (* 1/2 K) (* 1/2 (/ (* K n) m))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (/ M m) (+ 1/4 (* 1/2 (/ n m)))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* 1/4 (pow m 2))
(* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))
(* (pow m 2) (- (+ 1/4 (+ (* 1/2 (/ n m)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))) (/ M m)))
(* (pow m 2) (- (+ 1/4 (+ (* 1/2 (/ n m)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))) (/ M m)))
(* -1/4 (pow m 2))
(* (pow m 2) (- (/ M m) (+ 1/4 (* 1/2 (/ n m)))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* K m)
(* m (+ K (/ (* K n) m)))
(* m (+ K (/ (* K n) m)))
(* m (+ K (/ (* K n) m)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (/ M m) (+ 1/4 (* 1/2 (/ n m)))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M)))))
(* m (+ (* -1/2 (* K (sin (- (* 1/2 (* K n)) M)))) (/ (cos (- (* 1/2 (* K n)) M)) m)))
(* m (+ (* -1/2 (* K (sin (- (* 1/2 (* K n)) M)))) (/ (cos (- (* 1/2 (* K n)) M)) m)))
(* m (+ (* -1/2 (* K (sin (- (* 1/2 (* K n)) M)))) (/ (cos (- (* 1/2 (* K n)) M)) m)))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos M) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos M) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos M) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos M) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(* 1/2 (* K m))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(* 1/2 (* K m))
(* -1 (* m (+ (* -1/2 K) (* -1/2 (/ (* K n) m)))))
(* -1 (* m (+ (* -1/2 K) (* -1/2 (/ (* K n) m)))))
(* -1 (* m (+ (* -1/2 K) (* -1/2 (/ (* K n) m)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2)))))
(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2)))))
(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2)))))
(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2)))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(* 1/4 (pow m 2))
(* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* K m)
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M)))))
(* -1 (* m (+ (* -1 (/ (cos (- (* 1/2 (* K n)) M)) m)) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(* -1 (* m (+ (* -1 (/ (cos (- (* 1/2 (* K n)) M)) m)) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(* -1 (* m (+ (* -1 (/ (cos (- (* 1/2 (* K n)) M)) m)) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))

Outputs
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(fma.f64 (.f64 #s(literal -1/2 binary64) K) (.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) K) (.f64 (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (cos.f64 M)) (.f64 (.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 M)) (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K (.f64 (.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
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(cos.f64 M)
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(cos.f64 M)
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(*.f64 (+.f64 n m) K)
(*.f64 (+.f64 n m) K)
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(neg.f64 (sin.f64 M))
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(cos.f64 M)
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(.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 K (/.f64 n m) K)) (neg.f64 m))
(.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 K (/.f64 n m) K)) (neg.f64 m))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)))
(.f64 (.f64 m m) #s(literal -1/4 binary64))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m) #s(literal -1 binary64) #s(literal -1/4 binary64)) (.f64 m m))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (neg.f64 m)) #s(literal 1/4 binary64)) (.f64 m m))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (neg.f64 m)) #s(literal 1/4 binary64)) (.f64 m m))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(.f64 (.f64 m m) #s(literal 1/4 binary64))
(.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m)) (.f64 m m))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) m)) (.f64 m m))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) m)) (.f64 m m))
(.f64 (.f64 m m) #s(literal -1/4 binary64))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m) #s(literal -1 binary64) #s(literal -1/4 binary64)) (.f64 m m))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (neg.f64 m)) #s(literal 1/4 binary64)) (.f64 m m))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (neg.f64 m)) #s(literal 1/4 binary64)) (.f64 m m))
(*.f64 m K)
(*.f64 (neg.f64 (fma.f64 K (/.f64 n m) K)) (neg.f64 m))
(*.f64 (neg.f64 (fma.f64 K (/.f64 n m) K)) (neg.f64 m))
(*.f64 (neg.f64 (fma.f64 K (/.f64 n m) K)) (neg.f64 m))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
(.f64 (.f64 m m) #s(literal -1/4 binary64))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m) #s(literal -1 binary64) #s(literal -1/4 binary64)) (.f64 m m))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (neg.f64 m)) #s(literal 1/4 binary64)) (.f64 m m))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (neg.f64 m)) #s(literal 1/4 binary64)) (.f64 m m))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
(.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (/.f64 (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (neg.f64 m))) (neg.f64 m))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (/.f64 (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (neg.f64 m))) (neg.f64 m))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (/.f64 (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (neg.f64 m))) (neg.f64 m))

rewrite361.0ms (3.5%)

Memory

3.1MiB live, 368.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	540
0	124	539
1	418	530
2	3091	530
0	10841	530

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

26 → 534

Calls

Call 1

Inputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
(cos.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)))
(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64))
(cos.f64 M)
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(*.f64 K (+.f64 m n))
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64))
(sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))

Outputs
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eval437.0ms (4.2%)

Memory: 34.7MiB live, 574.6MiB allocated
Compiler: Compiled 137 751 to 4 345 computations (96.8% saved)

prune59.0ms (0.6%)

Memory

-31.2MiB live, 170.5MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	2 079	14	2 093
Fresh	10	0	10
Picked	5	0	5
Done	0	0	0
Total	2 094	14	2 108

Accuracy

97.8%

Counts

2 108 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.9%	(.f64 (cos.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 M M)) (/.f64 #s(literal 2 binary64) (+.f64 n m)) (.f64 (+.f64 #s(literal 0 binary64) M) K)) (.f64 (+.f64 #s(literal 0 binary64) M) (/.f64 #s(literal 2 binary64) (+.f64 n m))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	31.0%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 #s(literal 2 binary64) (+.f64 n m))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	15.2%	(.f64 (cos.f64 (-.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 n m) K))) #s(literal -1 binary64))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	31.9%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 n K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	33.6%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
▶	30.9%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	24.6%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 (cos.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))) n) (.f64 (.f64 (sin.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))) K) #s(literal -1/2 binary64))) n (cos.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
▶	31.2%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
▶	55.8%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
▶	36.2%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	69.8%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	71.8%	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
	53.6%	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (.f64 m m) #s(literal -1/4 binary64)))) (cos.f64 M)))
	49.8%	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))) (cos.f64 M)))

Compiler

Compiled 1 344 to 902 computations (32.9% saved)

simplify162.0ms (1.6%)

Memory

1.9MiB live, 220.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))
cost-diff	0	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))))
cost-diff	0	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
cost-diff	128	(cos.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))
cost-diff	0	#s(approx (- (/ (* K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))
cost-diff	0	(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))))
cost-diff	0	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
cost-diff	0	(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))))
cost-diff	0	(cos.f64 M)
cost-diff	0	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
cost-diff	0	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
cost-diff	0	(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
cost-diff	0	(cos.f64 M)
cost-diff	0	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
cost-diff	0	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
cost-diff	0	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))
cost-diff	0	(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
cost-diff	0	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	722
0	101	722
1	181	722
2	354	709
3	938	709
4	4017	709
0	8191	705

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))
(fabs.f64 (-.f64 m n))
(-.f64 m n)
m
n
(+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M))
#s(literal 1/2 binary64)
(+.f64 n m)
(neg.f64 M)
M
#s(literal 2 binary64)
l
#s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 M M)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
(cos.f64 M)
M
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
(cos.f64 M)
M
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))
(.f64 (.f64 n n) #s(literal -1/4 binary64))
(*.f64 n n)
n
#s(literal -1/4 binary64)
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))))
#s(approx (- (/ (* K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))
#s(literal 1/2 binary64)
(*.f64 (+.f64 n m) K)
(+.f64 n m)
n
m
K
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))
(.f64 (.f64 #s(literal -1/2 binary64) K) m)
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
m
(sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
(fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))
(*.f64 n K)
n
#s(literal 1/2 binary64)
(neg.f64 M)
M
(cos.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l

Outputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(.f64 #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))
(fabs.f64 (-.f64 n m))
(-.f64 m n)
m
n
(+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)
(pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64))
(fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M))
#s(literal 1/2 binary64)
(+.f64 n m)
(neg.f64 M)
M
#s(literal 2 binary64)
l
#s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 M M)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
(cos.f64 M)
M
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
(.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 #s(literal -1/4 binary64) (.f64 n n)))) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
(cos.f64 M)
M
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 #s(literal -1/4 binary64) (.f64 n n))))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 #s(literal -1/4 binary64) (.f64 n n)))
(.f64 #s(literal -1/4 binary64) (.f64 n n))
(*.f64 n n)
n
#s(literal -1/4 binary64)
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 (+.f64 n m) K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 (+.f64 n m) K) #s(literal 1/2 binary64))))
#s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 (+.f64 n m) K) #s(literal 1/2 binary64)))
(.f64 (.f64 (+.f64 n m) K) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (+.f64 n m) K)
(+.f64 n m)
n
m
K
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (.f64 (.f64 #s(literal -1/2 binary64) K) m) (cos.f64 (fma.f64 (.f64 n K) #s(literal -1/2 binary64) M)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (.f64 (.f64 #s(literal -1/2 binary64) K) m) (cos.f64 (fma.f64 (.f64 n K) #s(literal -1/2 binary64) M))))
(fma.f64 (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (.f64 (.f64 #s(literal -1/2 binary64) K) m) (cos.f64 (fma.f64 (.f64 n K) #s(literal -1/2 binary64) M)))
(.f64 (.f64 #s(literal -1/2 binary64) K) m)
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
m
(sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
(fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))
(*.f64 n K)
n
#s(literal 1/2 binary64)
(neg.f64 M)
M
(cos.f64 (fma.f64 (*.f64 n K) #s(literal -1/2 binary64) M))
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l

localize326.0ms (3.1%)

Memory

6.3MiB live, 516.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	29.626176087375416	(cos.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
accuracy	29.723712605690324	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))))
accuracy	29.757741338384317	(sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
accuracy	51.84711452245609	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
accuracy	0.01171875	(*.f64 (+.f64 n m) K)
accuracy	21.442715173574154	#s(approx (- (/ (* K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))
accuracy	39.322373993190055	(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))))
accuracy	51.84711452245609	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
accuracy	0	(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))))
accuracy	0	(cos.f64 M)
accuracy	38.64466221530783	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))
accuracy	39.22719488458405	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
accuracy	0	(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
accuracy	0	(cos.f64 M)
accuracy	39.22719488458405	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
accuracy	51.84711452245609	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
accuracy	0.00390625	(fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy	0.01953125	(pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64))
accuracy	3.8100387001685694	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
accuracy	28.58760252163438	#s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))

Samples

245.0ms	205×	1	valid
18.0ms	51×	0	valid

Compiler

Compiled 1 290 to 120 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

ival-mult: 56.0ms (31.5% of total)

ival-cos: 26.0ms (14.6% of total)

adjust: 20.0ms (11.3% of total)

ival-sin: 16.0ms (9% of total)

ival-sub: 15.0ms (8.4% of total)

ival-add: 15.0ms (8.4% of total)

ival-pow2: 12.0ms (6.8% of total)

ival-div: 6.0ms (3.4% of total)

ival-exp: 4.0ms (2.3% of total)

ival-neg: 4.0ms (2.3% of total)

ival-fabs: 2.0ms (1.1% of total)

exact: 1.0ms (0.6% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series136.0ms (1.3%)

Memory

-6.4MiB live, 215.2MiB allocated

Counts

25 → 1 092

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 M) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (+.f64 n m) K) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (*.f64 (+.f64 n m) K) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
15.0ms	n	@	0	((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (cos M) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (* 1/2 (* (+ n m) K)) (cos (+ (* (* n K) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (cos M) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (+ (* (* M M) -1/2) 1) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (+ n m) K) (sin (+ (* (* n K) 1/2) (neg M))))
13.0ms	m	@	0	((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (cos M) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (* 1/2 (* (+ n m) K)) (cos (+ (* (* n K) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (cos M) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (+ (* (* M M) -1/2) 1) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (+ n m) K) (sin (+ (* (* n K) 1/2) (neg M))))
2.0ms	m	@	-inf	((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (cos M) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (* 1/2 (* (+ n m) K)) (cos (+ (* (* n K) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (cos M) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (+ (* (* M M) -1/2) 1) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (+ n m) K) (sin (+ (* (* n K) 1/2) (neg M))))
2.0ms	m	@	inf	((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (cos M) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (* 1/2 (* (+ n m) K)) (cos (+ (* (* n K) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (cos M) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (+ (* (* M M) -1/2) 1) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (+ n m) K) (sin (+ (* (* n K) 1/2) (neg M))))
2.0ms	M	@	0	((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (cos M) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (* 1/2 (* (+ n m) K)) (cos (+ (* (* n K) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (cos M) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (+ (* (* M M) -1/2) 1) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (+ n m) K) (sin (+ (* (* n K) 1/2) (neg M))))

simplify282.0ms (2.7%)

Memory

-1.7MiB live, 502.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	979	32881
1	3119	31691
2	7668	31691
0	9048	30588

Stop Event

1×	iter limit
1×	node limit

Counts

1 092 → 1 092

Calls

Call 1

Inputs
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(* -1 M)
(- (* 1/2 (* K (+ m n))) M)
(- (* 1/2 (* K (+ m n))) M)
(- (* 1/2 (* K (+ m n))) M)
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* n (sin (neg M))))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (pow n 2) (cos (neg M))))) (* 1/2 (* n (sin (neg M)))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (pow n 2) (cos (neg M)))) (* 1/48 (* K (* (pow n 3) (sin (neg M))))))) (* 1/2 (* n (sin (neg M)))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(cos (neg M))
(+ (cos (neg M)) (* K (- (* -1/2 (* m (sin (neg M)))) (* 1/2 (* n (sin (neg M)))))))
(+ (cos (neg M)) (* K (- (+ (* -1/2 (* m (sin (neg M)))) (* K (+ (* -1/4 (* m (* n (cos (neg M))))) (* -1/8 (* (pow n 2) (cos (neg M))))))) (* 1/2 (* n (sin (neg M)))))))
(+ (cos (neg M)) (* K (- (+ (* -1/2 (* m (sin (neg M)))) (* K (+ (* -1/4 (* m (* n (cos (neg M))))) (+ (* -1/8 (* (pow n 2) (cos (neg M)))) (* K (- (* 1/16 (* m (* (pow n 2) (sin (neg M))))) (* -1/48 (* (pow n 3) (sin (neg M)))))))))) (* 1/2 (* n (sin (neg M)))))))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(sin (neg M))
(+ (sin (neg M)) (* 1/2 (* K (* n (cos (neg M))))))
(+ (sin (neg M)) (* K (+ (* -1/8 (* K (* (pow n 2) (sin (neg M))))) (* 1/2 (* n (cos (neg M)))))))
(+ (sin (neg M)) (* K (+ (* 1/2 (* n (cos (neg M)))) (* K (+ (* -1/8 (* (pow n 2) (sin (neg M)))) (* -1/48 (* K (* (pow n 3) (cos (neg M))))))))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* 1/2 (* K (+ m n)))
(* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))
(* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))
(* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(cos (- (* 1/2 (* K n)) M))
(cos (- (* 1/2 (* K n)) M))
(cos (- (* 1/2 (* K n)) M))
(cos (- (* 1/2 (* K n)) M))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M)))))
(* K (+ (* -1/2 (* m (sin (- (* 1/2 (* K n)) M)))) (/ (cos (- (* 1/2 (* K n)) M)) K)))
(* K (+ (* -1/2 (* m (sin (- (* 1/2 (* K n)) M)))) (/ (cos (- (* 1/2 (* K n)) M)) K)))
(* K (+ (* -1/2 (* m (sin (- (* 1/2 (* K n)) M)))) (/ (cos (- (* 1/2 (* K n)) M)) K)))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(sin (- (* 1/2 (* K n)) M))
(sin (- (* 1/2 (* K n)) M))
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(* K n)
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M)))))
(* m (+ (* -1/2 (* K (sin (- (* 1/2 (* K n)) M)))) (/ (cos (- (* 1/2 (* K n)) M)) m)))
(* m (+ (* -1/2 (* K (sin (- (* 1/2 (* K n)) M)))) (/ (cos (- (* 1/2 (* K n)) M)) m)))
(* m (+ (* -1/2 (* K (sin (- (* 1/2 (* K n)) M)))) (/ (cos (- (* 1/2 (* K n)) M)) m)))
(* 1/4 (pow m 2))
(* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))
(* (pow m 2) (- (+ 1/4 (+ (* 1/2 (/ n m)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))) (/ M m)))
(* (pow m 2) (- (+ 1/4 (+ (* 1/2 (/ n m)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))) (/ M m)))
(* -1/4 (pow m 2))
(* (pow m 2) (- (/ M m) (+ 1/4 (* 1/2 (/ n m)))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (/ M m) (+ 1/4 (* 1/2 (/ n m)))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* K m)
(* m (+ K (/ (* K n) m)))
(* m (+ K (/ (* K n) m)))
(* m (+ K (/ (* K n) m)))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos M) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos M) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos M) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos M) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(* 1/2 (* K m))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(* 1/2 (* K m))
(* -1 (* m (+ (* -1/2 K) (* -1/2 (/ (* K n) m)))))
(* -1 (* m (+ (* -1/2 K) (* -1/2 (/ (* K n) m)))))
(* -1 (* m (+ (* -1/2 K) (* -1/2 (/ (* K n) m)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M)))))
(* -1 (* m (+ (* -1 (/ (cos (- (* 1/2 (* K n)) M)) m)) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(* -1 (* m (+ (* -1 (/ (cos (- (* 1/2 (* K n)) M)) m)) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(* -1 (* m (+ (* -1 (/ (cos (- (* 1/2 (* K n)) M)) m)) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(* 1/4 (pow m 2))
(* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* -1/4 (pow m 2))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* K m)
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))

Outputs
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(fma.f64 (.f64 #s(literal -1/2 binary64) K) (.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) K) (.f64 (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (cos.f64 M)) (.f64 (.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 M)) (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K)) K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(fma.f64 (.f64 #s(literal -1/2 binary64) K) (.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) K) (.f64 (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (cos.f64 M)) (.f64 (.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 M)) (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K)) K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(cos.f64 M)
(fma.f64 (.f64 #s(literal -1/2 binary64) K) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (cos.f64 M))
(fma.f64 (fma.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) K) (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (cos.f64 M)))) K (cos.f64 M))
(fma.f64 (fma.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 M)) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))))) K)) K (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(fma.f64 (.f64 #s(literal -1/2 binary64) K) (.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) K) (.f64 (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (cos.f64 M)) (.f64 (.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 M)) (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K)) K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m) #s(literal 1/4 binary64)) (.f64 m m))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) m)) (.f64 m m))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) m)) (.f64 m m))
(.f64 (.f64 m m) #s(literal -1/4 binary64))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m) #s(literal -1 binary64) #s(literal -1/4 binary64)) (.f64 m m))
(.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) m) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) m) #s(literal -1/4 binary64)) (.f64 m m))
(.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) m) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) m) #s(literal -1/4 binary64)) (.f64 m m))
(.f64 (.f64 m m) #s(literal -1/4 binary64))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m) #s(literal -1 binary64) #s(literal -1/4 binary64)) (.f64 m m))
(.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) m) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) m) #s(literal -1/4 binary64)) (.f64 m m))
(.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) m) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) m) #s(literal -1/4 binary64)) (.f64 m m))
(*.f64 m K)
(*.f64 (neg.f64 (fma.f64 K (/.f64 n m) K)) (neg.f64 m))
(*.f64 (neg.f64 (fma.f64 K (/.f64 n m) K)) (neg.f64 m))
(*.f64 (neg.f64 (fma.f64 K (/.f64 n m) K)) (neg.f64 m))

rewrite303.0ms (2.9%)

Memory

7.6MiB live, 402.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	530
0	101	530
1	371	521
2	2722	521
0	9417	521

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

25 → 330

Calls

Call 1

Inputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
(cos.f64 M)
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))))
#s(approx (- (/ (* K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))
(cos.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))
#s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64))
(fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))
(*.f64 (+.f64 n m) K)
(sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))

Outputs
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eval267.0ms (2.6%)

Memory: 25.6MiB live, 496.6MiB allocated
Compiler: Compiled 114 619 to 3 293 computations (97.1% saved)

prune51.0ms (0.5%)

Memory

-39.6MiB live, 163.6MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1 674	10	1 684
Fresh	6	3	9
Picked	3	2	5
Done	0	0	0
Total	1 683	15	1 698

Accuracy

97.9%

Counts

1 698 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.2%	(.f64 (cos.f64 (-.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 n m) K))) #s(literal -1 binary64))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	31.4%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (/.f64 K (/.f64 #s(literal 2 binary64) (+.f64 n m))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	31.3%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 n m)) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	31.9%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 n K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
▶	33.6%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
✓	30.9%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	49.8%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
✓	36.2%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
▶	29.0%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	32.0%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	55.8%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
▶	35.9%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
▶	65.4%	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))
	40.8%	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (.f64 m m) #s(literal -1/4 binary64)))) #s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
▶	27.5%	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))

Compiler

Compiled 1 303 to 907 computations (30.4% saved)

simplify180.0ms (1.7%)

Memory

9.3MiB live, 201.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64))))
cost-diff	0	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
cost-diff	0	(.f64 (.f64 m K) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))
cost-diff	0	(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64))))
cost-diff	0	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
cost-diff	0	#s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))
cost-diff	0	(exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M)))
cost-diff	0	(.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))))
cost-diff	0	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
cost-diff	0	(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
cost-diff	0	#s(approx (cos M) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
cost-diff	0	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))
cost-diff	0	(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
cost-diff	0	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64)))))
cost-diff	0	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	856
0	117	856
1	201	856
2	372	845
3	930	845
4	4001	845
0	8256	839

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))
(fabs.f64 (-.f64 m n))
(-.f64 m n)
m
n
(+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M))
#s(literal 1/2 binary64)
(+.f64 n m)
(neg.f64 M)
M
#s(literal 2 binary64)
l
#s(approx (cos M) #s(approx (+ (* (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))
#s(approx (+ (* (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64)))
(.f64 (.f64 M M) #s(literal -1/2 binary64))
(*.f64 M M)
#s(literal -1/2 binary64)
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))
#s(approx (cos M) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M)))
#s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))
(*.f64 (neg.f64 M) M)
(neg.f64 M)
M
#s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 M M)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64))))
#s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))
(.f64 (.f64 m K) #s(literal 1/2 binary64))
(*.f64 m K)
m
K
#s(literal 1/2 binary64)
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64))
(.f64 (.f64 m K) (sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))
(*.f64 m K)
m
K
(sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
(fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))
(*.f64 n K)
n
#s(literal 1/2 binary64)
(neg.f64 M)
M
#s(literal -1/2 binary64)
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l

Outputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(.f64 #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))
(fabs.f64 (-.f64 n m))
(-.f64 m n)
m
n
(+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)
(pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64))
(fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M))
#s(literal 1/2 binary64)
(+.f64 n m)
(neg.f64 M)
M
#s(literal 2 binary64)
l
#s(approx (cos M) #s(approx (+ (* (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))
#s(approx (+ (* (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64)))
(.f64 (.f64 M M) #s(literal -1/2 binary64))
(*.f64 M M)
#s(literal -1/2 binary64)
(.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))
#s(approx (cos M) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M)))))
(.f64 #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))))
(exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M)))
#s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))
(*.f64 (neg.f64 M) M)
(neg.f64 M)
M
#s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 M M)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64))))
#s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))
(.f64 (.f64 m K) #s(literal 1/2 binary64))
(*.f64 m K)
m
K
#s(literal 1/2 binary64)
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (.f64 #s(literal -1/2 binary64) K)) m))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (.f64 #s(literal -1/2 binary64) K)) m)))
#s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (.f64 #s(literal -1/2 binary64) K)) m))
(.f64 (.f64 (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (.f64 #s(literal -1/2 binary64) K)) m)
(.f64 (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (*.f64 m K))
(*.f64 m K)
m
K
(sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
(fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))
(*.f64 n K)
n
#s(literal 1/2 binary64)
(neg.f64 M)
M
#s(literal -1/2 binary64)
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l

localize370.0ms (3.5%)

Memory

7.7MiB live, 690.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	29.723712605690324	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64))))
accuracy	29.757741338384317	(sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
accuracy	34.663015937610055	#s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))
accuracy	51.84711452245609	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
accuracy	0	(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
accuracy	39.322373993190055	(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64))))
accuracy	44.160475299404276	#s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))
accuracy	51.84711452245609	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
accuracy	0.00390625	(fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy	3.8100387001685694	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
accuracy	28.58760252163438	#s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	44.67133361814385	#s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))
accuracy	0	(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
accuracy	26.01983301751311	#s(approx (cos M) #s(literal 1 binary64))
accuracy	39.22719488458405	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))
accuracy	51.84711452245609	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
accuracy	0.01953125	(pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64))
accuracy	3.8100387001685694	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))
accuracy	28.58760252163438	#s(approx (cos M) #s(approx (+ (* (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))
accuracy	34.064231334152005	#s(approx (+ (* (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64)))

Samples

270.0ms	205×	1	valid
19.0ms	51×	0	valid

Compiler

Compiled 1 467 to 143 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 235.0ms

ival-cos: 52.0ms (22.1% of total)

ival-mult: 43.0ms (18.3% of total)

ival-add: 43.0ms (18.3% of total)

adjust: 40.0ms (17% of total)

ival-pow2: 12.0ms (5.1% of total)

ival-sub: 12.0ms (5.1% of total)

ival-sin: 12.0ms (5.1% of total)

ival-div: 8.0ms (3.4% of total)

ival-exp: 5.0ms (2.1% of total)

ival-neg: 4.0ms (1.7% of total)

ival-fabs: 2.0ms (0.9% of total)

exact: 1.0ms (0.4% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series144.0ms (1.4%)

Memory

5.4MiB live, 347.3MiB allocated

Counts

27 → 1 128

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (cos M) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 m K) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (cos M) #s(approx (+ (* (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 (.f64 m K) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 (.f64 m K) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 (.f64 m K) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 (.f64 m K) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 K) (#s(alt #<batchref> (patch #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf m) (#s(alt #<batchref> (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	n	@	inf	((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (cos M) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (* (* m K) 1/2) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (* (* (* m K) (sin (+ (* (* n K) 1/2) (neg M)))) -1/2) (+ (* (* M M) -1/2) 1) (cos M) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (cos M) (+ (* (* M M) -1/2) 1) (sin (+ (* (* n K) 1/2) (neg M))))
4.0ms	m	@	0	((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (cos M) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (* (* m K) 1/2) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (* (* (* m K) (sin (+ (* (* n K) 1/2) (neg M)))) -1/2) (+ (* (* M M) -1/2) 1) (cos M) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (cos M) (+ (* (* M M) -1/2) 1) (sin (+ (* (* n K) 1/2) (neg M))))
4.0ms	M	@	-inf	((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (cos M) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (* (* m K) 1/2) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (* (* (* m K) (sin (+ (* (* n K) 1/2) (neg M)))) -1/2) (+ (* (* M M) -1/2) 1) (cos M) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (cos M) (+ (* (* M M) -1/2) 1) (sin (+ (* (* n K) 1/2) (neg M))))
4.0ms	m	@	-inf	((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (cos M) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (* (* m K) 1/2) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (* (* (* m K) (sin (+ (* (* n K) 1/2) (neg M)))) -1/2) (+ (* (* M M) -1/2) 1) (cos M) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (cos M) (+ (* (* M M) -1/2) 1) (sin (+ (* (* n K) 1/2) (neg M))))
3.0ms	m	@	inf	((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (cos M) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (* (* m K) 1/2) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (* (* (* m K) (sin (+ (* (* n K) 1/2) (neg M)))) -1/2) (+ (* (* M M) -1/2) 1) (cos M) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (cos M) (+ (* (* M M) -1/2) 1) (sin (+ (* (* n K) 1/2) (neg M))))

simplify287.0ms (2.8%)

Memory

15.9MiB live, 429.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	968	34707
1	3088	33423
2	7522	33423
0	8764	32279

Stop Event

1×	iter limit
1×	node limit

Counts

1 128 → 1 128

Calls

Call 1

Inputs
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(* -1 M)
(- (* 1/2 (* K (+ m n))) M)
(- (* 1/2 (* K (+ m n))) M)
(- (* 1/2 (* K (+ m n))) M)
(* 1/2 (* K m))
(* 1/2 (* K m))
(* 1/2 (* K m))
(* 1/2 (* K m))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(cos (neg M))
(+ (cos (neg M)) (* K (- (* -1/2 (* m (sin (neg M)))) (* 1/2 (* n (sin (neg M)))))))
(+ (cos (neg M)) (* K (- (+ (* -1/2 (* m (sin (neg M)))) (* K (+ (* -1/4 (* m (* n (cos (neg M))))) (* -1/8 (* (pow n 2) (cos (neg M))))))) (* 1/2 (* n (sin (neg M)))))))
(+ (cos (neg M)) (* K (- (+ (* -1/2 (* m (sin (neg M)))) (* K (+ (* -1/4 (* m (* n (cos (neg M))))) (+ (* -1/8 (* (pow n 2) (cos (neg M)))) (* K (- (* 1/16 (* m (* (pow n 2) (sin (neg M))))) (* -1/48 (* (pow n 3) (sin (neg M)))))))))) (* 1/2 (* n (sin (neg M)))))))
(* -1/2 (* K (* m (sin (neg M)))))
(* K (+ (* -1/2 (* m (sin (neg M)))) (* -1/4 (* K (* m (* n (cos (neg M))))))))
(* K (+ (* -1/2 (* m (sin (neg M)))) (* K (+ (* -1/4 (* m (* n (cos (neg M))))) (* 1/16 (* K (* m (* (pow n 2) (sin (neg M))))))))))
(* K (+ (* -1/2 (* m (sin (neg M)))) (* K (+ (* -1/4 (* m (* n (cos (neg M))))) (* K (+ (* 1/96 (* K (* m (* (pow n 3) (cos (neg M)))))) (* 1/16 (* m (* (pow n 2) (sin (neg M)))))))))))
(sin (neg M))
(+ (sin (neg M)) (* 1/2 (* K (* n (cos (neg M))))))
(+ (sin (neg M)) (* K (+ (* -1/8 (* K (* (pow n 2) (sin (neg M))))) (* 1/2 (* n (cos (neg M)))))))
(+ (sin (neg M)) (* K (+ (* 1/2 (* n (cos (neg M)))) (* K (+ (* -1/8 (* (pow n 2) (sin (neg M)))) (* -1/48 (* K (* (pow n 3) (cos (neg M))))))))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
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(* 1/2 (* K m))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(* 1/2 (* K m))
(* 1/2 (* K m))
(* 1/2 (* K m))
(* 1/2 (* K m))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M)))))
(* -1 (* m (+ (* -1 (/ (cos (- (* 1/2 (* K n)) M)) m)) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(* -1 (* m (+ (* -1 (/ (cos (- (* 1/2 (* K n)) M)) m)) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(* -1 (* m (+ (* -1 (/ (cos (- (* 1/2 (* K n)) M)) m)) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M)))))
(* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M)))))
(* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M)))))
(* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M)))))
(* 1/4 (pow m 2))
(* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))

Outputs
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(fma.f64 (.f64 (.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) K) #s(literal -1/2 binary64) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (.f64 (.f64 #s(literal -1/8 binary64) K) (.f64 (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (cos.f64 M)))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 M)) (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K)) K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(fma.f64 (.f64 (.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) K) #s(literal -1/2 binary64) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (.f64 (.f64 #s(literal -1/8 binary64) K) (.f64 (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (cos.f64 M)))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 M)) (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K)) K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(cos.f64 M)
(fma.f64 (.f64 #s(literal -1/2 binary64) K) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (cos.f64 M))
(fma.f64 (fma.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) K) (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (cos.f64 M)))) K (cos.f64 M))
(fma.f64 (fma.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 M)) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))))) K)) K (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(fma.f64 (.f64 (.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) K) #s(literal -1/2 binary64) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (.f64 (.f64 #s(literal -1/8 binary64) K) (.f64 (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (cos.f64 M)))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 M)) (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K)) K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(fma.f64 (.f64 (.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) K) #s(literal -1/2 binary64) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (.f64 (.f64 #s(literal -1/8 binary64) K) (.f64 (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (cos.f64 M)))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 M)) (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K)) K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(cos.f64 M)
(fma.f64 (.f64 #s(literal -1/2 binary64) K) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (cos.f64 M))
(fma.f64 (fma.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) K) (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (cos.f64 M)))) K (cos.f64 M))
(fma.f64 (fma.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 M)) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))))) K)) K (cos.f64 M))
(neg.f64 M)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M))
(.f64 (.f64 m K) #s(literal 1/2 binary64))
(.f64 (.f64 m K) #s(literal 1/2 binary64))
(.f64 (.f64 m K) #s(literal 1/2 binary64))
(.f64 (.f64 m K) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(fma.f64 (.f64 (.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) K) #s(literal -1/2 binary64) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (.f64 (.f64 #s(literal -1/8 binary64) K) (.f64 (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (cos.f64 M)))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 M)) (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))) (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K)) K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(cos.f64 M)
(fma.f64 (.f64 #s(literal -1/2 binary64) K) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (cos.f64 M))
(fma.f64 (fma.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) K) (.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (cos.f64 M)))) K (cos.f64 M))
(fma.f64 (fma.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 M)) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))))) K)) K (cos.f64 M))
(cos.f64 M)
(fma.f64 (.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64)) K (cos.f64 M))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 n n)) (cos.f64 M) (.f64 (.f64 (.f64 (cos.f64 M) n) m) #s(literal -1/4 binary64))) K (.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64))) K (cos.f64 M))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 n #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) #s(literal 1/48 binary64) (.f64 (.f64 #s(literal 1/16 binary64) m) (.f64 (.f64 n n) (neg.f64 (sin.f64 M))))) K (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 n n)) (cos.f64 M) (.f64 (.f64 (.f64 (cos.f64 M) n) m) #s(literal -1/4 binary64)))) K (.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64))) K (cos.f64 M))
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(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (/.f64 (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (neg.f64 m))) (neg.f64 m))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (/.f64 (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (neg.f64 m))) (neg.f64 m))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (/.f64 (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (neg.f64 m))) (neg.f64 m))
(.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64))
(.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64))
(.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64))
(.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64))
(.f64 (.f64 m m) #s(literal 1/4 binary64))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m) #s(literal 1/4 binary64)) (.f64 m m))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) m)) (.f64 m m))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) m)) (.f64 m m))
(.f64 (.f64 m m) #s(literal -1/4 binary64))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m) #s(literal -1 binary64) #s(literal -1/4 binary64)) (.f64 m m))
(.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) m) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) m) #s(literal -1/4 binary64)) (.f64 m m))
(.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) m) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) m) #s(literal -1/4 binary64)) (.f64 m m))

rewrite213.0ms (2%)

Memory

14.8MiB live, 246.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	668
0	117	668
1	387	661
2	2714	661
0	9373	658

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

27 → 249

Calls

Call 1

Inputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))
#s(approx (cos M) #s(literal 1 binary64))
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M)))
#s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64))))
#s(approx (- (/ (* K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))
(.f64 (.f64 m K) #s(literal 1/2 binary64))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64))))
#s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64))
#s(approx (+ (* (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64)))
#s(approx (cos M) #s(approx (+ (* (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
#s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))
(sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))

Outputs
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eval261.0ms (2.5%)

Memory: 1.3MiB live, 384.7MiB allocated
Compiler: Compiled 119 725 to 2 977 computations (97.5% saved)

prune54.0ms (0.5%)

Memory

16.3MiB live, 176.4MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1 569	4	1 573
Fresh	3	5	8
Picked	3	2	5
Done	2	0	2
Total	1 577	11	1 588

Accuracy

97.9%

Counts

1 588 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.2%	(.f64 (cos.f64 (-.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 n m) K))) #s(literal -1 binary64))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	31.4%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (/.f64 K (/.f64 #s(literal 2 binary64) (+.f64 n m))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	31.3%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 n m)) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	31.9%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 n K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
✓	33.6%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	55.8%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
	53.6%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
	49.8%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
✓	35.9%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	42.2%	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))
	35.1%	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (neg.f64 l))) #s(approx (cos M) #s(approx (+ (* (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))

Compiler

Compiled 2 612 to 621 computations (76.2% saved)

regimes103.0ms (1%)

Memory

2.1MiB live, 119.5MiB allocated

Counts

44 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (neg.f64 l))) #s(approx (cos M) #s(approx (+ (* (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (.f64 m m) #s(literal -1/4 binary64)))) #s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))) (cos.f64 M)))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (.f64 m m) #s(literal -1/4 binary64)))) (cos.f64 M)))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 n K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (/.f64 K (/.f64 #s(literal 2 binary64) (+.f64 n m))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 #s(literal 2 binary64) (+.f64 n m))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 n m)) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 M M)) (/.f64 #s(literal 2 binary64) (+.f64 n m)) (.f64 (+.f64 #s(literal 0 binary64) M) K)) (.f64 (+.f64 #s(literal 0 binary64) M) (/.f64 #s(literal 2 binary64) (+.f64 n m))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))) (cos.f64 (.f64 (*.f64 (+.f64 n m) K) #s(literal 1/2 binary64)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (*.f64 (+.f64 n m) (-.f64 m n)) K) (-.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 n m) K))) #s(literal -1 binary64))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (.f64 #s(literal -1/2 binary64) K) (.f64 (+.f64 n m) (neg.f64 (sin.f64 M))) (cos.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 (cos.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))) n) (.f64 (.f64 (sin.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))) K) #s(literal -1/2 binary64))) n (cos.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (*.f64 (/.f64 (+.f64 n m) (+.f64 n m)) (/.f64 (-.f64 m n) (-.f64 m n))) (/.f64 K (pow.f64 (+.f64 n m) #s(literal -1 binary64)))) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64))) K) (fma.f64 n (-.f64 n m) (*.f64 m m))) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) K) (sin.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))) (.f64 (.f64 (.f64 (.f64 K K) #s(literal -1/8 binary64)) n) (cos.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))))) n (cos.f64 (fma.f64 (.f64 m K) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (.f64 (.f64 (.f64 (.f64 K K) #s(literal -1/8 binary64)) m) (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) m (cos.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))

Outputs

#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))

Calls

6 calls:

33.0ms	M
14.0ms	l
13.0ms	K
13.0ms	m
13.0ms	n

Results

Accuracy	Segments	Branch
94.0%	1	`K`
94.0%	1	`m`
94.0%	1	`n`
94.0%	1	`M`
94.0%	1	`l`
94.0%	1	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))`

Compiler

Compiled 34 to 46 computations (-35.3% saved)

regimes62.0ms (0.6%)

Memory

-8.8MiB live, 102.4MiB allocated

Counts

28 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (neg.f64 l))) #s(approx (cos M) #s(approx (+ (* (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (.f64 m m) #s(literal -1/4 binary64)))) #s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))) (cos.f64 M)))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (.f64 m m) #s(literal -1/4 binary64)))) (cos.f64 M)))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 n K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (/.f64 K (/.f64 #s(literal 2 binary64) (+.f64 n m))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 #s(literal 2 binary64) (+.f64 n m))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 n m)) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 M M)) (/.f64 #s(literal 2 binary64) (+.f64 n m)) (.f64 (+.f64 #s(literal 0 binary64) M) K)) (.f64 (+.f64 #s(literal 0 binary64) M) (/.f64 #s(literal 2 binary64) (+.f64 n m))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))

Outputs

(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))

#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))

(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))

Calls

6 calls:

13.0ms	M
12.0ms	K
9.0ms	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
9.0ms	l
9.0ms	n

Results

Accuracy	Segments	Branch
71.8%	1	`K`
84.4%	3	`m`
78.9%	4	`l`
94.1%	3	`M`
82.4%	3	`n`
71.8%	1	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))`

Compiler

Compiled 34 to 46 computations (-35.3% saved)

regimes12.0ms (0.1%)

Memory

-11.9MiB live, 24.1MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (neg.f64 l))) #s(approx (cos M) #s(approx (+ (* (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (.f64 m m) #s(literal -1/4 binary64)))) #s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))) (cos.f64 M)))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (.f64 m m) #s(literal -1/4 binary64)))) (cos.f64 M)))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 n K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (/.f64 K (/.f64 #s(literal 2 binary64) (+.f64 n m))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 #s(literal 2 binary64) (+.f64 n m))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))

Outputs

(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))

#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ (* (* M M) -1/2) 1) (*.f64 (*.f64 M M) #s(literal -1/2 binary64))))))

(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
87.7%	3	`M`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes27.0ms (0.3%)

Memory

34.2MiB live, 71.6MiB allocated

Counts

24 → 4

Calls

Call 1

Inputs
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (neg.f64 l))) #s(approx (cos M) #s(approx (+ (* (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (.f64 m m) #s(literal -1/4 binary64)))) #s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))) (cos.f64 M)))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (.f64 m m) #s(literal -1/4 binary64)))) (cos.f64 M)))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 n K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (/.f64 K (/.f64 #s(literal 2 binary64) (+.f64 n m))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (+ (* (* (* -1/2 K) m) (sin (+ (* (* n K) 1/2) (neg M)))) (cos (+ (* (* n K) 1/2) (neg M)))) (.f64 (.f64 (.f64 m K) (sin.f64 (fma.f64 (.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 #s(literal 2 binary64) (+.f64 n m))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))

Outputs
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))

Calls

3 calls:

10.0ms	m
8.0ms	M
7.0ms	n

Results

Accuracy	Segments	Branch
81.6%	4	`n`
82.3%	4	`m`
79.9%	5	`M`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes12.0ms (0.1%)

Memory

-64.2MiB live, 10.4MiB allocated

Counts

13 → 4

Calls

Call 1

Inputs
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (neg.f64 l))) #s(approx (cos M) #s(approx (+ (* (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (neg.f64 M) M))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (.f64 m m) #s(literal -1/4 binary64)))) #s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))) (cos.f64 M)))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (.f64 (.f64 m m) #s(literal -1/4 binary64)))) (cos.f64 M)))

Outputs
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
82.3%	4	`m`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes3.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ ( 1/2 (+ n m)) (neg M)) 2) l)) (neg.f64 l))) #s(approx (cos M) #s(approx (+ (* (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64))))))

Outputs

(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 m m) #s(literal -1/4 binary64)))))

(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))

(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
80.1%	3	`m`

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes13.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

3 → 5

Calls

Call 1

Inputs

(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))

(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))

(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 m m) #s(literal -1/4 binary64)))))

Outputs
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))

Calls

6 calls:

2.0ms	l
2.0ms	K
2.0ms	m
2.0ms	M
2.0ms	n

Results

Accuracy	Segments	Branch
56.2%	2	`K`
57.0%	3	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))`
73.2%	3	`M`
69.5%	3	`l`
59.2%	3	`n`
77.0%	5	`m`

Compiler

Compiled 34 to 46 computations (-35.3% saved)

regimes5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))

(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))

Outputs

(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))

(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))

(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))

Calls

3 calls:

2.0ms	m
2.0ms	l
2.0ms	M

Results

Accuracy	Segments	Branch
64.5%	2	`l`
68.2%	3	`M`
53.6%	3	`m`

Compiler

Compiled 3 to 15 computations (-400% saved)

regimes15.0ms (0.1%)

Memory

-13.8MiB live, 25.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))

Outputs
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))

Calls

6 calls:

8.0ms	M
1.0ms	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
1.0ms	m
1.0ms	n
1.0ms	K

Results

Accuracy	Segments	Branch
35.9%	1	`m`
35.9%	1	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))`
35.9%	1	`K`
35.9%	1	`n`
35.9%	1	`l`
35.9%	1	`M`

Compiler

Compiled 34 to 46 computations (-35.3% saved)

bsearch12.0ms (0.1%)

Memory

-14.3MiB live, 23.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
7.0ms	2.313385836659937e+83	4.7149210252564944e+83
3.0ms	-1.5950589267817362e+147	-5.594668632946774e+135

Samples

7.0ms	47×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 320 to 239 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (22.3% of total)

ival-sub: 1.0ms (22.3% of total)

ival-mult: 1.0ms (22.3% of total)

adjust: 0.0ms (0% of total)

ival-exp: 0.0ms (0% of total)

ival-pow2: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-cos: 0.0ms (0% of total)

ival-neg: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-fabs: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
0.0ms	2.313385836659937e+83	4.7149210252564944e+83
0.0ms	-1.5950589267817362e+147	-5.594668632946774e+135

Compiler

Compiled 341 to 254 computations (25.5% saved)

bsearch91.0ms (0.9%)

Memory

9.3MiB live, 122.8MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	-2.680792618232314e-183	-1.12998174567849e-194
12.0ms	-8.761739781048122e-73	-4.5874286298203245e-73
27.0ms	-34256223069081.94	-82205.84852747798

Samples

45.0ms	334×	0	valid
12.0ms	34×	1	valid

Compiler

Compiled 1 864 to 1 388 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sub: 11.0ms (24.4% of total)

ival-add: 8.0ms (17.7% of total)

ival-div: 5.0ms (11.1% of total)

ival-mult: 5.0ms (11.1% of total)

ival-pow2: 4.0ms (8.9% of total)

ival-cos: 4.0ms (8.9% of total)

ival-exp: 3.0ms (6.6% of total)

adjust: 2.0ms (4.4% of total)

ival-neg: 2.0ms (4.4% of total)

ival-fabs: 2.0ms (4.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	-2.680792618232314e-183	-1.12998174567849e-194
1.0ms	-8.761739781048122e-73	-4.5874286298203245e-73
2.0ms	-34256223069081.94	-82205.84852747798

Samples

4.0ms	31×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 1 489 to 1 113 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (33% of total)

adjust: 0.0ms (0% of total)

ival-div: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-exp: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

ival-fabs: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

ival-cos: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-neg: 0.0ms (0% of total)

ival-pow2: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory

7.0MiB live, 42.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-2.680792618232314e-183	-1.12998174567849e-194
21.0ms	-1651343618673281.8	-354119732801498.8

Samples

14.0ms	87×	0	valid
3.0ms	9×	1	valid

Compiler

Compiled 901 to 678 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 4.0ms (30.6% of total)

ival-sub: 2.0ms (15.3% of total)

ival-exp: 1.0ms (7.7% of total)

ival-mult: 1.0ms (7.7% of total)

ival-pow2: 1.0ms (7.7% of total)

ival-cos: 1.0ms (7.7% of total)

ival-add: 1.0ms (7.7% of total)

ival-fabs: 1.0ms (7.7% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-neg: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch111.0ms (1.1%)

Memory

-0.6MiB live, 236.5MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	9.386548553443703e-23	4.8312485617654e-11
27.0ms	9.386947722960045e-283	1.0555511795621205e-275
31.0ms	-1.0968353083261323e-231	-3.8327022395459267e-234
4.0ms	-1651343618673281.8	-354119732801498.8

Samples

57.0ms	387×	0	valid
14.0ms	45×	1	valid

Compiler

Compiled 2 588 to 1 942 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-sub: 12.0ms (22.7% of total)

ival-div: 12.0ms (22.7% of total)

ival-mult: 6.0ms (11.3% of total)

ival-pow2: 5.0ms (9.4% of total)

ival-cos: 4.0ms (7.6% of total)

ival-add: 4.0ms (7.6% of total)

ival-exp: 3.0ms (5.7% of total)

adjust: 2.0ms (3.8% of total)

ival-neg: 2.0ms (3.8% of total)

ival-fabs: 2.0ms (3.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch69.0ms (0.7%)

Memory

3.6MiB live, 115.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	4.084255057680954e-27	2.0184056911045728e-17
30.0ms	-173177923.77882162	-0.2548399268601375

Samples

41.0ms	279×	0	valid
7.0ms	25×	1	valid

Compiler

Compiled 1 476 to 1 112 computations (24.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-sub: 7.0ms (19.7% of total)

ival-pow2: 5.0ms (14% of total)

ival-div: 4.0ms (11.2% of total)

ival-mult: 4.0ms (11.2% of total)

ival-cos: 4.0ms (11.2% of total)

ival-fabs: 4.0ms (11.2% of total)

ival-add: 2.0ms (5.6% of total)

ival-exp: 2.0ms (5.6% of total)

adjust: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

simplify55.0ms (0.5%)

Memory

-32.1MiB live, 67.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	1185
1	146	1185
2	163	1185
3	178	1185
4	185	1185
5	187	1185

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(if (<=.f64 M #s(literal -999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M)))) (if (<=.f64 M #s(literal 299999999999999995762025635714257174997568068513114702219697020937955715322189185024 binary64)) #s(approx ( (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))))
(if (<=.f64 M #s(literal -999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M)))) (if (<=.f64 M #s(literal 299999999999999995762025635714257174997568068513114702219697020937955715322189185024 binary64)) #s(approx ( (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 (.f64 M M) #s(literal -1/2 binary64)))))) (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))))
(if (<=.f64 m #s(literal -85000 binary64)) (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64))))) (if (<=.f64 m #s(literal -3381798007586549/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) (if (<=.f64 m #s(literal -3970774558442963/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M)))) (.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))))))))
(if (<=.f64 m #s(literal -85000 binary64)) (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64))))) (if (<=.f64 m #s(literal -3381798007586549/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) (if (<=.f64 m #s(literal -3061802069160839/306180206916083902309240650087602475282639486413866622577088471913520022894784390350900738050555138105234536857820245071373614031482942161565170086143298589738273508330367307539078392896587187265470464 binary64)) (.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M)))) (.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))))))))
(if (<=.f64 m #s(literal -360000000000000 binary64)) (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64))))) (if (<=.f64 m #s(literal -3061802069160839/306180206916083902309240650087602475282639486413866622577088471913520022894784390350900738050555138105234536857820245071373614031482942161565170086143298589738273508330367307539078392896587187265470464 binary64)) (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M)))) (.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))))
(if (<=.f64 m #s(literal -360000000000000 binary64)) (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64))))) (if (<=.f64 m #s(literal -1985705252159885/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M)))) (if (<=.f64 m #s(literal 653996952628337/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) (if (<=.f64 m #s(literal 3713820117856141/77371252455336267181195264 binary64)) (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M)))) (.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))))))
(if (<=.f64 M #s(literal -27 binary64)) (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M)))) (if (<=.f64 M #s(literal 6490371073168535/324518553658426726783156020576256 binary64)) (.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))))
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))

Outputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(if (<=.f64 M #s(literal -999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M))) #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))) (if (<=.f64 M #s(literal 299999999999999995762025635714257174997568068513114702219697020937955715322189185024 binary64)) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M))) #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))))))
(if (<=.f64 M #s(literal -999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M))) #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))) (if (<=.f64 M #s(literal 299999999999999995762025635714257174997568068513114702219697020937955715322189185024 binary64)) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (.f64 #s(approx (cos M) #s(approx (+ ( (* M M) -1/2) 1) (.f64 #s(literal -1/2 binary64) (.f64 M M)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M))) #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))))))
(if (<=.f64 m #s(literal -85000 binary64)) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 #s(literal -1/4 binary64) (.f64 m m)))) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))) (if (<=.f64 m #s(literal -3381798007586549/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (if (<=.f64 m #s(literal -3970774558442963/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488 binary64)) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M))) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M))))))
(if (<=.f64 m #s(literal -85000 binary64)) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 #s(literal -1/4 binary64) (.f64 m m)))) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))) (if (<=.f64 m #s(literal -3381798007586549/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) (fma.f64 (.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (if (<=.f64 m #s(literal -3061802069160839/306180206916083902309240650087602475282639486413866622577088471913520022894784390350900738050555138105234536857820245071373614031482942161565170086143298589738273508330367307539078392896587187265470464 binary64)) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M))) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))))))
(if (<=.f64 m #s(literal -360000000000000 binary64)) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 #s(literal -1/4 binary64) (.f64 m m)))) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))) (if (<=.f64 m #s(literal -3061802069160839/306180206916083902309240650087602475282639486413866622577088471913520022894784390350900738050555138105234536857820245071373614031482942161565170086143298589738273508330367307539078392896587187265470464 binary64)) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M))) #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))))))
(if (<=.f64 m #s(literal -360000000000000 binary64)) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 #s(literal -1/4 binary64) (.f64 m m)))) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))) (if (<=.f64 m #s(literal -1985705252159885/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M))) #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))) (if (<=.f64 m #s(literal 653996952628337/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))) (if (<=.f64 m #s(literal 3713820117856141/77371252455336267181195264 binary64)) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M))) #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 #s(literal -1/4 binary64) (.f64 m m)))) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))))))))
(if (<=.f64 M #s(literal -27 binary64)) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M))) #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))) (if (<=.f64 M #s(literal 6490371073168535/324518553658426726783156020576256 binary64)) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))) (.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (neg.f64 M) M))) #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))))))
(.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))))

soundness1.0s (9.6%)

Memory

-5.6MiB live, 670.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	979	32881
1	3119	31691
2	7668	31691
0	9048	30588
0	1207	36709
1	3899	35289
0	8582	34154
0	968	34707
1	3088	33423
2	7522	33423
0	8764	32279
0	594	6515
1	1844	6307
2	6304	6293
0	8026	6091

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 2 710 to 1 434 computations (47.1% saved)

preprocess94.0ms (0.9%)

Memory: 19.5MiB live, 99.9MiB allocated
Remove: (sort m n)
Compiler: Compiled 3 286 to 592 computations (82% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample2.0s (19.5%)

explain359.0ms (3.4%)

preprocess150.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify119.0ms (1.1%)

localize96.0ms (0.9%)

series46.0ms (0.4%)

simplify213.0ms (2%)

rewrite230.0ms (2.2%)

eval190.0ms (1.8%)

prune64.0ms (0.6%)

simplify173.0ms (1.7%)

localize502.0ms (4.8%)

series250.0ms (2.4%)

simplify394.0ms (3.8%)

rewrite361.0ms (3.5%)

eval437.0ms (4.2%)

prune59.0ms (0.6%)

simplify162.0ms (1.6%)

localize326.0ms (3.1%)

series136.0ms (1.3%)

simplify282.0ms (2.7%)

rewrite303.0ms (2.9%)

eval267.0ms (2.6%)

prune51.0ms (0.5%)

simplify180.0ms (1.7%)

localize370.0ms (3.5%)

series144.0ms (1.4%)

simplify287.0ms (2.8%)

rewrite213.0ms (2%)

eval261.0ms (2.5%)

prune54.0ms (0.5%)

regimes103.0ms (1%)

regimes62.0ms (0.6%)

regimes12.0ms (0.1%)

regimes27.0ms (0.3%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

regimes13.0ms (0.1%)

regimes5.0ms (0.1%)

regimes15.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch91.0ms (0.9%)

bsearch10.0ms (0.1%)

bsearch24.0ms (0.2%)

bsearch111.0ms (1.1%)

bsearch69.0ms (0.7%)

simplify55.0ms (0.5%)

soundness1.0s (9.6%)

preprocess94.0ms (0.9%)

end0.0ms (0%)

Profiling