Metrics for Maksimov and Kolovsky, Equation (32)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample2.2s (15.8%)

Memory

-8.5MiB live, 2 618.7MiB allocated

Samples

1.4s	7 796×	0	valid
329.0ms	460×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-sub: 440.0ms (32.4% of total)

ival-div: 194.0ms (14.3% of total)

ival-pow2: 148.0ms (10.9% of total)

ival-exp: 122.0ms (9% of total)

ival-mult: 120.0ms (8.8% of total)

ival-neg: 95.0ms (7% of total)

ival-cos: 76.0ms (5.6% of total)

ival-fabs: 73.0ms (5.4% of total)

ival-add: 53.0ms (3.9% of total)

adjust: 24.0ms (1.8% of total)

ival-true: 6.0ms (0.4% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain445.0ms (3.3%)

Memory

2.4MiB live, 594.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
177	39	(1.539293789838933e-288 2.8572117714096075e+40 -2.547555687281555e+122 1.260159903847019e+124 -2.7964620159118533e-191)	-	`(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	164	0
`cos.f64`	`(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))`	oflow-rescue	52	0
↳	`(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))`	overflow	52
↳	`(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)`	overflow	52
↳	`(*.f64 K (+.f64 m n))`	overflow	52

Confusion

	Predicted +	Predicted -
+	66	0
-	150	40

Precision

0.3055555555555556

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	66	0	0
-	150	0	40

Precision?

0.3055555555555556

Recall?

1.0

Freqs

test

number	freq
0	40
1	216

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

185.0ms	430×	1	valid
16.0ms	82×	0	valid

Compiler

Compiled 334 to 67 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-div: 35.0ms (24.6% of total)

ival-sub: 21.0ms (14.8% of total)

adjust: 21.0ms (14.8% of total)

ival-cos: 19.0ms (13.4% of total)

ival-exp: 11.0ms (7.7% of total)

ival-mult: 11.0ms (7.7% of total)

ival-pow2: 9.0ms (6.3% of total)

ival-add: 5.0ms (3.5% of total)

ival-neg: 4.0ms (2.8% of total)

ival-fabs: 4.0ms (2.8% of total)

ival-true: 1.0ms (0.7% of total)

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

exact: 0.0ms (0% of total)

preprocess238.0ms (1.7%)

Memory

18.5MiB live, 289.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 472×	`lower-fma.f64`
7 472×	`lower-fma.f32`
3 222×	`lower-*.f32`
3 218×	`lower-*.f64`
2 026×	`lower-/.f32`

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

Symmetry

(sort m n)

Compiler

Compiled 34 to 21 computations (38.2% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.7%	(.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

▶

74.7%

(*.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 21 computations (38.2% saved)

simplify219.0ms (1.6%)

Memory

-21.8MiB live, 321.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	256	(-.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	384	(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
cost-diff	5696	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))

Rules

7 472×	`lower-fma.f64`
7 472×	`lower-fma.f32`
3 222×	`lower-*.f32`
3 218×	`lower-*.f64`
2 026×	`lower-/.f32`

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

localize112.0ms (0.8%)

Memory

26.0MiB live, 220.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
accuracy	0.00390625	(*.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	40.3608479915047	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))

Samples

83.0ms	215×	1	valid
6.0ms	41×	0	valid

Compiler

Compiled 150 to 23 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-sub: 16.0ms (23.7% of total)

adjust: 9.0ms (13.3% of total)

ival-cos: 9.0ms (13.3% of total)

ival-add: 7.0ms (10.4% of total)

ival-div: 6.0ms (8.9% of total)

ival-mult: 6.0ms (8.9% of total)

ival-pow2: 6.0ms (8.9% of total)

ival-neg: 3.0ms (4.4% of total)

ival-exp: 2.0ms (3% of total)

ival-fabs: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.2%)

Memory

-5.6MiB live, 64.7MiB allocated

Counts

7 → 276

Calls

Call 1

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

Outputs
#s(alt (pow (- (* 1/2 n) M) 2) (taylor 0 m) (#s(alt (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* m (- (* 1/2 n) M)) (pow (- (* 1/2 n) M) 2)) (taylor 0 m) (#s(alt (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* m (- (+ (* 1/4 m) (* 1/2 n)) M)) (pow (- (* 1/2 n) M) 2)) (taylor 0 m) (#s(alt (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* m (- (+ (* 1/4 m) (* 1/2 n)) M)) (pow (- (* 1/2 n) M) 2)) (taylor 0 m) (#s(alt (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow m 2)) (taylor inf m) (#s(alt (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m))) (taylor inf m) (#s(alt (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (+ 1/4 (+ (* 1/2 (/ n m)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))) (/ M m))) (taylor inf m) (#s(alt (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (+ 1/4 (+ (* 1/2 (/ n m)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))) (/ M m))) (taylor inf m) (#s(alt (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow m 2)) (taylor -inf m) (#s(alt (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m))) (taylor -inf m) (#s(alt (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m)))) (taylor -inf m) (#s(alt (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m)))) (taylor -inf m) (#s(alt (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (- (* 1/2 m) M) 2) (taylor 0 n) (#s(alt (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (patch (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* K (+ m n)) (taylor 0 K) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* K (+ m n)) (taylor 0 K) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* K (+ m n)) (taylor 0 K) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* K (+ m n)) (taylor inf K) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* K (+ m n)) (taylor inf K) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* K (+ m n)) (taylor inf K) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* K (+ m n)) (taylor inf K) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* K (+ m n)) (taylor -inf K) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* K (+ m n)) (taylor -inf K) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* K (+ m n)) (taylor -inf K) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* K (+ m n)) (taylor -inf K) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* K n) (taylor 0 m) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (+ (* K m) (* K n)) (taylor 0 m) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (+ (* K m) (* K n)) (taylor 0 m) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (+ (* K m) (* K n)) (taylor 0 m) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* K m) (taylor inf m) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* m (+ K (/ (* K n) m))) (taylor inf m) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* m (+ K (/ (* K n) m))) (taylor inf m) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* m (+ K (/ (* K n) m))) (taylor inf m) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* K m) (taylor -inf m) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m))))) (taylor -inf m) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m))))) (taylor -inf m) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m))))) (taylor -inf m) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* K m) (taylor 0 n) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (+ (* K m) (* K n)) (taylor 0 n) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (+ (* K m) (* K n)) (taylor 0 n) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (+ (* K m) (* K n)) (taylor 0 n) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* K n) (taylor inf n) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* n (+ K (/ (* K m) n))) (taylor inf n) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* n (+ K (/ (* K m) n))) (taylor inf n) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* n (+ K (/ (* K m) n))) (taylor inf n) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* K n) (taylor -inf n) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 K) (* -1 (/ (* K m) n))))) (taylor -inf n) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 K) (* -1 (/ (* K m) n))))) (taylor -inf n) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 K) (* -1 (/ (* K m) n))))) (taylor -inf n) (#s(alt (.f64 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())) ())
#s(alt (* -1 M) (taylor 0 K) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* K (+ m n))) M) (taylor 0 K) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* K (+ m n))) M) (taylor 0 K) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* K (+ m n))) M) (taylor 0 K) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* K (+ m n))) (taylor inf K) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* K (+ (* -1 (/ M K)) (* 1/2 (+ m n)))) (taylor inf K) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* K (+ (* -1 (/ M K)) (* 1/2 (+ m n)))) (taylor inf K) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* K (+ (* -1 (/ M K)) (* 1/2 (+ m n)))) (taylor inf K) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* K (+ m n))) (taylor -inf K) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* -1 (* K (+ (* -1/2 (+ m n)) (/ M K)))) (taylor -inf K) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* -1 (* K (+ (* -1/2 (+ m n)) (/ M K)))) (taylor -inf K) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* -1 (* K (+ (* -1/2 (+ m n)) (/ M K)))) (taylor -inf K) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* K n)) M) (taylor 0 m) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M) (taylor 0 m) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M) (taylor 0 m) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M) (taylor 0 m) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* K m)) (taylor inf m) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m))) (taylor inf m) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m))) (taylor inf m) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m))) (taylor inf m) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* K m)) (taylor -inf m) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K)))) (taylor -inf m) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K)))) (taylor -inf m) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K)))) (taylor -inf m) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (* K m)) M) (taylor 0 n) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M) (taylor 0 n) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M) (taylor 0 n) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M) (taylor 0 n) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* K n)) (taylor inf n) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n))) (taylor inf n) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n))) (taylor inf n) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n))) (taylor inf n) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* K n)) (taylor -inf n) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K)))) (taylor -inf n) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K)))) (taylor -inf n) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K)))) (taylor -inf n) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* K (+ m n))) (taylor 0 M) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 M) (* 1/2 (* K (+ m n)))) (taylor 0 M) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 M) (* 1/2 (* K (+ m n)))) (taylor 0 M) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 M) (* 1/2 (* K (+ m n)))) (taylor 0 M) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* -1 M) (taylor inf M) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* M (- (* 1/2 (/ (* K (+ m n)) M)) 1)) (taylor inf M) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* M (- (* 1/2 (/ (* K (+ m n)) M)) 1)) (taylor inf M) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* M (- (* 1/2 (/ (* K (+ m n)) M)) 1)) (taylor inf M) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* -1 M) (taylor -inf M) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M))))) (taylor -inf M) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M))))) (taylor -inf M) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M))))) (taylor -inf M) (#s(alt (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())

Calls

69 calls:

Time	Variable		Point	Expression
3.0ms	n	@	0	(pow (- (/ (+ m n) 2) M) 2)
1.0ms	m	@	-inf	(/ (+ m n) 2)
1.0ms	K	@	0	(cos (- (/ (* K (+ m n)) 2) M))
1.0ms	K	@	0	(/ (* K (+ m n)) 2)
1.0ms	M	@	-inf	(pow (- (/ (+ m n) 2) M) 2)

simplify259.0ms (1.9%)

Memory

9.6MiB live, 419.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 628×	`lower-fma.f64`
9 628×	`lower-fma.f32`
6 428×	`lower-*.f64`
6 428×	`lower-*.f32`
3 190×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	419	3518
1	1279	3459
2	3929	3419
0	8262	3277

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(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))
(* 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) (- (+ 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))))
(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))
(* 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)))
(* 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))))
(* 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)))))
(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))))))
(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))))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K n))
(+ (* 1/2 (* K m)) (* 1/2 (* K n)))
(+ (* 1/2 (* K m)) (* 1/2 (* K n)))
(+ (* 1/2 (* K m)) (* 1/2 (* K n)))
(* 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))))
(* 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)))))
(* 1/2 (* K m))
(+ (* 1/2 (* K m)) (* 1/2 (* K n)))
(+ (* 1/2 (* K m)) (* 1/2 (* K n)))
(+ (* 1/2 (* K m)) (* 1/2 (* K n)))
(* 1/2 (* K n))
(* n (+ (* 1/2 K) (* 1/2 (/ (* K m) n))))
(* n (+ (* 1/2 K) (* 1/2 (/ (* K m) n))))
(* n (+ (* 1/2 K) (* 1/2 (/ (* K m) n))))
(* 1/2 (* K n))
(* -1 (* n (+ (* -1/2 K) (* -1/2 (/ (* K m) n)))))
(* -1 (* n (+ (* -1/2 K) (* -1/2 (/ (* K m) n)))))
(* -1 (* n (+ (* -1/2 K) (* -1/2 (/ (* K m) n)))))
(* 1/2 n)
(+ (* 1/2 m) (* 1/2 n))
(+ (* 1/2 m) (* 1/2 n))
(+ (* 1/2 m) (* 1/2 n))
(* 1/2 m)
(* m (+ 1/2 (* 1/2 (/ n m))))
(* m (+ 1/2 (* 1/2 (/ n m))))
(* m (+ 1/2 (* 1/2 (/ n m))))
(* 1/2 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)))
(* 1/2 m)
(+ (* 1/2 m) (* 1/2 n))
(+ (* 1/2 m) (* 1/2 n))
(+ (* 1/2 m) (* 1/2 n))
(* 1/2 n)
(* n (+ 1/2 (* 1/2 (/ m n))))
(* n (+ 1/2 (* 1/2 (/ m n))))
(* n (+ 1/2 (* 1/2 (/ m n))))
(* 1/2 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)))
(- (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)))
(* -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) (- (* -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))
(- (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)))
(* -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)))))))
(* -1/4 (pow n 2))
(* (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))
(- (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))))
(* -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)))))))
(* -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))
(- (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))
(* -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))))
(* -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 (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 (- (* 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))
(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 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)))))))
(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 (- 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))
(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)))))))
(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 (* -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))
(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))))))))
(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 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)))))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K n)
(+ (* K m) (* K n))
(+ (* K m) (* K n))
(+ (* K m) (* K n))
(* K m)
(* m (+ K (/ (* K n) m)))
(* m (+ K (/ (* K n) m)))
(* m (+ K (/ (* K n) 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)))))
(* K m)
(+ (* K m) (* K n))
(+ (* K m) (* K n))
(+ (* K m) (* K n))
(* K n)
(* n (+ K (/ (* K m) n)))
(* n (+ K (/ (* K m) n)))
(* n (+ K (/ (* K m) 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)))))
(* -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)))
(* 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 (* K (+ (* -1/2 (+ m n)) (/ M K))))
(* -1 (* K (+ (* -1/2 (+ m n)) (/ M K))))
(* -1 (* K (+ (* -1/2 (+ m n)) (/ M K))))
(- (* 1/2 (* K n)) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K 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))
(* -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)) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(* 1/2 (* K n))
(* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n)))
(* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n)))
(* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n)))
(* 1/2 (* K n))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K))))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K))))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K))))
(* 1/2 (* K (+ m n)))
(+ (* -1 M) (* 1/2 (* K (+ m n))))
(+ (* -1 M) (* 1/2 (* K (+ m n))))
(+ (* -1 M) (* 1/2 (* K (+ m n))))
(* -1 M)
(* M (- (* 1/2 (/ (* K (+ m n)) M)) 1))
(* M (- (* 1/2 (/ (* K (+ m n)) M)) 1))
(* M (- (* 1/2 (/ (* K (+ m n)) M)) 1))
(* -1 M)
(* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M)))))
(* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M)))))
(* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M)))))

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

rewrite274.0ms (2%)

Memory

14.8MiB live, 399.6MiB allocated

Rules

5 100×	`lower-fma.f64`
5 100×	`lower-fma.f32`
4 482×	`lower-/.f32`
4 478×	`lower-/.f64`
4 324×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	62
0	32	62
1	152	62
2	1217	62
0	8384	62

Stop Event

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

Counts

7 → 372

Calls

Call 1

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

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

eval116.0ms (0.9%)

Memory: -38.8MiB live, 163.1MiB allocated
Compiler: Compiled 36 561 to 2 586 computations (92.9% saved)

prune101.0ms (0.7%)

Memory

9.5MiB live, 171.0MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	633	15	648
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	634	15	649

Accuracy

97.2%

Counts

649 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.4%	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))) K) (fma.f64 m m (.f64 n (-.f64 n 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))))))
	47.3%	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (*.f64 (+.f64 m n) (-.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))))))
	47.4%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 m n) (-.f64 m n)) K) (/.f64 #s(literal 1 binary64) (-.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))))))
▶	72.8%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 #s(approx (pow (- (/ (+ m n) 2) M) 2) (.f64 m (.f64 m (fma.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) m) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) m) #s(literal 1/4 binary64)))))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	72.0%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 #s(approx (pow (- (/ (+ m n) 2) M) 2) (.f64 M (fma.f64 M (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (+.f64 n m) (/.f64 (+.f64 n m) M)) (+.f64 n m)) (neg.f64 M)) M)))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	49.7%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 #s(approx (pow (- (/ (+ m n) 2) M) 2) (*.f64 M M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	38.7%	(.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)))))
	37.9%	(.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 n (.f64 n #s(literal -1/4 binary64))))))
	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 M (neg.f64 M)))))
▶	32.0%	(.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))))
	75.1%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 #s(literal 2 binary64) (+.f64 m n))) 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))))))
	37.3%	(.f64 (cos.f64 (-.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 m n) K))) #s(literal -1 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))))))
▶	66.9%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 M (fma.f64 (.f64 (+.f64 n m) K) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 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))))))
	80.9%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 m K)))) (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))))))
▶	95.3%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) 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))))))

Compiler

Compiled 1 034 to 644 computations (37.7% saved)

simplify194.0ms (1.4%)

Memory

-1.7MiB live, 268.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
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	896	(.f64 M (fma.f64 (.f64 (+.f64 n m) K) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64)))
cost-diff	5056	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
cost-diff	0	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 #s(approx (pow (- (/ (+ m n) 2) M) 2) (.f64 m (.f64 m (fma.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) m) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) m) #s(literal 1/4 binary64)))))) (-.f64 l (fabs.f64 (-.f64 m n))))))
cost-diff	128	(-.f64 (neg.f64 #s(approx (pow (- (/ (+ m n) 2) M) 2) (.f64 m (.f64 m (fma.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) m) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) m) #s(literal 1/4 binary64)))))) (-.f64 l (fabs.f64 (-.f64 m n))))
cost-diff	704	(.f64 m (fma.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) m) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) m) #s(literal 1/4 binary64)))
cost-diff	704	(.f64 m (.f64 m (fma.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) m) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) m) #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)))) (.f64 (.f64 m m) #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 #s(approx (cos (- (/ ( K (+ m n)) 2) 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))))))
cost-diff	128	(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
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	5056	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))

Rules

7 030×	`lower-fma.f32`
7 026×	`lower-fma.f64`
4 068×	`lower-*.f32`
4 042×	`lower-*.f64`
2 112×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	927
0	117	927
1	199	927
2	405	912
3	1119	881
4	4164	881
0	8434	874

Stop Event

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

Calls

Call 1

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

localize380.0ms (2.8%)

Memory

3.3MiB live, 407.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
accuracy	3.874491381017853	(fma.f64 (*.f64 (+.f64 n m) K) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64))
accuracy	5.037712287529853	(.f64 M (fma.f64 (.f64 (+.f64 n m) K) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64)))
accuracy	40.3608479915047	(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 M (fma.f64 (.f64 (+.f64 n m) K) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64)))))
accuracy	0.178066259768442	(fma.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) m) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) m) #s(literal 1/4 binary64))
accuracy	2.8449307950649065	(.f64 m (fma.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) m) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) m) #s(literal 1/4 binary64)))
accuracy	5.465033962070047	(.f64 m (.f64 m (fma.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) m) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) m) #s(literal 1/4 binary64))))
accuracy	40.36084799150474	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
accuracy	0.00390625	(.f64 (.f64 m m) #s(literal -1/4 binary64))
accuracy	0.00390625	(*.f64 K (+.f64 m n))
accuracy	40.36084799150474	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
accuracy	43.99331242653214	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))
accuracy	0.00390625	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
accuracy	0.00390625	(*.f64 K (+.f64 m n))
accuracy	40.36084799150474	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
accuracy	51.45591110201341	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
accuracy	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)))))
accuracy	0	(cos.f64 M)
accuracy	0.01953125	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
accuracy	39.3039074525724	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))

Samples

222.0ms	215×	1	valid
13.0ms	41×	0	valid

Compiler

Compiled 747 to 46 computations (93.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-cos: 60.0ms (41.1% of total)

ival-mult: 23.0ms (15.8% of total)

adjust: 17.0ms (11.7% of total)

ival-sub: 12.0ms (8.2% of total)

ival-div: 12.0ms (8.2% of total)

ival-add: 10.0ms (6.9% of total)

ival-pow2: 5.0ms (3.4% of total)

ival-neg: 3.0ms (2.1% of total)

ival-exp: 2.0ms (1.4% of total)

ival-fabs: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series188.0ms (1.4%)

Memory

30.7MiB live, 141.9MiB allocated

Counts

24 → 1 044

Calls

Call 1

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

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

Calls

261 calls:

Time	Variable		Point	Expression
36.0ms	n	@	-inf	(* M (+ (* (* (+ n m) K) (/ 1/2 M)) -1))
6.0ms	M	@	-inf	(* M (+ (* (* (+ n m) K) (/ 1/2 M)) -1))
2.0ms	m	@	-inf	(* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))
2.0ms	n	@	0	(* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))
1.0ms	m	@	0	(* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))

simplify542.0ms (4%)

Memory

-6.7MiB live, 566.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 396×	`lower-fma.f64`
11 396×	`lower-fma.f32`
7 768×	`lower-*.f64`
7 768×	`lower-*.f32`
6 258×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1020	28461
1	3354	27469
0	9139	26579

Stop Event

1×	iter limit
1×	node limit

Counts

1 044 → 1 044

Calls

Call 1

Inputs
(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))
(* 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) (- (+ 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))))
(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))
(* 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)))
(* 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))))
(* 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)))))
(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))))))
(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))))
(- (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)))
(* -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) (- (* -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))
(- (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)))
(* -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)))))))
(* -1/4 (pow n 2))
(* (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))
(- (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))))
(* -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)))))))
(* -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))
(- (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))
(* -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))))
(* -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)))))
(* -1 (pow (- (* 1/2 n) M) 2))
(- (* m (- M (* 1/2 n))) (pow (- (* 1/2 n) M) 2))
(- (* m (- (+ M (* -1/4 m)) (* 1/2 n))) (pow (- (* 1/2 n) M) 2))
(- (* m (- (+ M (* -1/4 m)) (* 1/2 n))) (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) (- (+ (* -1 (/ (pow (- (* 1/2 n) M) 2) (pow m 2))) (/ M m)) (+ 1/4 (* 1/2 (/ n m)))))
(* (pow m 2) (- (+ (* -1 (/ (pow (- (* 1/2 n) M) 2) (pow m 2))) (/ M m)) (+ 1/4 (* 1/2 (/ n m)))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (/ (pow (- (* 1/2 n) M) 2) m) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (/ (pow (- (* 1/2 n) M) 2) m) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* -1 (pow (- (* 1/2 m) M) 2))
(- (* n (- M (* 1/2 m))) (pow (- (* 1/2 m) M) 2))
(- (* n (- (+ M (* -1/4 n)) (* 1/2 m))) (pow (- (* 1/2 m) M) 2))
(- (* n (- (+ M (* -1/4 n)) (* 1/2 m))) (pow (- (* 1/2 m) M) 2))
(* -1/4 (pow n 2))
(* (pow n 2) (- (/ M n) (+ 1/4 (* 1/2 (/ m n)))))
(* (pow n 2) (- (+ (* -1 (/ (pow (- (* 1/2 m) M) 2) (pow n 2))) (/ M n)) (+ 1/4 (* 1/2 (/ m n)))))
(* (pow n 2) (- (+ (* -1 (/ (pow (- (* 1/2 m) M) 2) (pow n 2))) (/ M n)) (+ 1/4 (* 1/2 (/ m n)))))
(* -1/4 (pow n 2))
(* (pow n 2) (- (* -1 (/ (- (* 1/2 m) M) n)) 1/4))
(* (pow n 2) (- (* -1 (/ (- (/ (pow (- (* 1/2 m) M) 2) n) (* -1 (- (* 1/2 m) M))) n)) 1/4))
(* (pow n 2) (- (* -1 (/ (- (/ (pow (- (* 1/2 m) M) 2) n) (* -1 (- (* 1/2 m) M))) n)) 1/4))
(* -1/4 (pow (+ m n) 2))
(- (* M (+ m n)) (* 1/4 (pow (+ m n) 2)))
(- (* M (- (* -1 M) (* -1 (+ m n)))) (* 1/4 (pow (+ m n) 2)))
(- (* M (- (* -1 M) (* -1 (+ m n)))) (* 1/4 (pow (+ m n) 2)))
(* -1 (pow M 2))
(* (pow M 2) (- (+ (/ m M) (/ n M)) 1))
(* (pow M 2) (- (* -1/4 (/ (pow (+ m n) 2) (pow M 2))) (+ 1 (* -1 (/ (+ m n) M)))))
(* (pow M 2) (- (* -1/4 (/ (pow (+ m n) 2) (pow M 2))) (+ 1 (* -1 (/ (+ m n) M)))))
(* -1 (pow M 2))
(* (pow M 2) (- (+ (/ m M) (/ n M)) 1))
(* (pow M 2) (- (* -1 (/ (- (* 1/4 (/ (pow (+ m n) 2) M)) (+ m n)) M)) 1))
(* (pow M 2) (- (* -1 (/ (- (* 1/4 (/ (pow (+ m n) 2) M)) (+ m n)) M)) 1))
(* (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 (- (* 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)))))
(+ (* 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))))))
(* (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 (* -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)))))
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(* (pow n 2) (+ (* -1 (/ (+ (* -1 (+ (* -1/2 (/ M (pow m 2))) (* 1/2 (/ (+ 1 (* -1 (/ M m))) m)))) (* -1 (/ (+ 1/4 (* -1 (/ (* M (+ 1 (* -1 (/ M m)))) m))) n))) n)) (* 1/4 (/ 1 (pow m 2)))))
(+ 1/4 (* 1/2 (/ (* n (+ 1 (* 1/2 (/ n m)))) m)))
(+ 1/4 (+ (* 1/2 (/ (* n (+ 1 (* 1/2 (/ n m)))) m)) (* M (+ (* -1 (/ (+ 1 (* 1/2 (/ n m))) m)) (* -1/2 (/ n (pow m 2)))))))
(+ 1/4 (+ (* 1/2 (/ (* n (+ 1 (* 1/2 (/ n m)))) m)) (* M (+ (* -1 (/ (+ 1 (* 1/2 (/ n m))) m)) (+ (* -1/2 (/ n (pow m 2))) (/ M (pow m 2)))))))
(+ 1/4 (+ (* 1/2 (/ (* n (+ 1 (* 1/2 (/ n m)))) m)) (* M (+ (* -1 (/ (+ 1 (* 1/2 (/ n m))) m)) (+ (* -1/2 (/ n (pow m 2))) (/ M (pow m 2)))))))
(/ (pow M 2) (pow m 2))
(* (pow M 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ n m))) (* M m))) (+ (* -1/2 (/ n (* M (pow m 2)))) (/ 1 (pow m 2)))))
(* (pow M 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ n m))) (* M m))) (+ (* -1/2 (/ n (* M (pow m 2)))) (+ (* 1/2 (/ (* n (+ 1 (* 1/2 (/ n m)))) (* (pow M 2) m))) (+ (/ 1/4 (pow M 2)) (/ 1 (pow m 2)))))))
(* (pow M 2) (+ (* -1 (/ (+ 1 (* 1/2 (/ n m))) (* M m))) (+ (* -1/2 (/ n (* M (pow m 2)))) (+ (* 1/2 (/ (* n (+ 1 (* 1/2 (/ n m)))) (* (pow M 2) m))) (+ (/ 1/4 (pow M 2)) (/ 1 (pow m 2)))))))
(/ (pow M 2) (pow m 2))
(* (pow M 2) (+ (* -1 (/ (+ (/ 1 m) (/ n (pow m 2))) M)) (/ 1 (pow m 2))))
(* (pow M 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/4 (* 1/2 (/ (* n (+ 1 (* 1/2 (/ n m)))) m))) M)) (+ (/ 1 m) (/ n (pow m 2)))) M)) (/ 1 (pow m 2))))
(* (pow M 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/4 (* 1/2 (/ (* n (+ 1 (* 1/2 (/ n m)))) m))) M)) (+ (/ 1 m) (/ n (pow m 2)))) M)) (/ 1 (pow m 2))))
(/ (pow (- (* 1/2 n) M) 2) (pow m 2))
(/ (+ (* m (- (* 1/2 n) M)) (pow (- (* 1/2 n) M) 2)) (pow m 2))
(/ (+ (* m (- (+ (* 1/4 m) (* 1/2 n)) M)) (pow (- (* 1/2 n) M) 2)) (pow m 2))
(/ (+ (* m (- (+ (* 1/4 m) (* 1/2 n)) M)) (pow (- (* 1/2 n) M) 2)) (pow m 2))
1/4
(- (+ 1/4 (* 1/2 (/ n m))) (/ M m))
(- (+ 1/4 (+ (* 1/2 (/ n m)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))) (/ M m))
(- (+ 1/4 (+ (* 1/2 (/ n m)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))) (/ M m))
1/4
(- (+ 1/4 (* 1/2 (/ n m))) (/ M m))
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m)))
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m)))
(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 (- (* 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))
(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 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)))))))
(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 (- 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))
(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)))))))
(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 (* -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))
(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))))))))
(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 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)))))
(- (* 1/2 (/ (* K m) M)) 1)
(- (+ (* 1/2 (/ (* K m) M)) (* 1/2 (/ (* K n) M))) 1)
(- (+ (* 1/2 (/ (* K m) M)) (* 1/2 (/ (* K n) M))) 1)
(- (+ (* 1/2 (/ (* K m) M)) (* 1/2 (/ (* K n) M))) 1)
(* 1/2 (/ (* K n) M))
(* n (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K m) (* M n)))) (/ 1 n)))
(* n (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K m) (* M n)))) (/ 1 n)))
(* n (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K m) (* M n)))) (/ 1 n)))
(* 1/2 (/ (* K n) M))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (/ (* K m) M)) 1) n)) (* -1/2 (/ K M)))))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (/ (* K m) M)) 1) n)) (* -1/2 (/ K M)))))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (/ (* K m) M)) 1) n)) (* -1/2 (/ K M)))))
(- (* 1/2 (/ (* K n) M)) 1)
(- (+ (* 1/2 (/ (* K m) M)) (* 1/2 (/ (* K n) M))) 1)
(- (+ (* 1/2 (/ (* K m) M)) (* 1/2 (/ (* K n) M))) 1)
(- (+ (* 1/2 (/ (* K m) M)) (* 1/2 (/ (* K n) M))) 1)
(* 1/2 (/ (* K m) M))
(* m (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K n) (* M m)))) (/ 1 m)))
(* m (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K n) (* M m)))) (/ 1 m)))
(* m (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K n) (* M m)))) (/ 1 m)))
(* 1/2 (/ (* K m) M))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (/ (* K n) M)) 1) m)) (* -1/2 (/ K M)))))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (/ (* K n) M)) 1) m)) (* -1/2 (/ K M)))))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (/ (* K n) M)) 1) m)) (* -1/2 (/ K M)))))
-1
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(* 1/2 (/ (* K (+ m n)) M))
(* K (- (* 1/2 (/ (+ m n) M)) (/ 1 K)))
(* K (- (* 1/2 (/ (+ m n) M)) (/ 1 K)))
(* K (- (* 1/2 (/ (+ m n) M)) (/ 1 K)))
(* 1/2 (/ (* K (+ m n)) M))
(* -1 (* K (+ (* -1/2 (/ (+ m n) M)) (/ 1 K))))
(* -1 (* K (+ (* -1/2 (/ (+ m n) M)) (/ 1 K))))
(* -1 (* K (+ (* -1/2 (/ (+ m n) M)) (/ 1 K))))
(* 1/2 (/ (* K (+ m n)) M))
(/ (+ (* -1 M) (* 1/2 (* K (+ m n)))) M)
(/ (+ (* -1 M) (* 1/2 (* K (+ m n)))) M)
(/ (+ (* -1 M) (* 1/2 (* K (+ m n)))) M)
-1
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
-1
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(- (* 1/2 (/ (* K (+ m n)) M)) 1)

Outputs
(pow (- (* 1/2 n) M) 2)
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) (-.f64 (*.f64 #s(literal 1/2 binary64) n) M))
(+ (* m (- (* 1/2 n) M)) (pow (- (* 1/2 n) M) 2))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) m))
(+ (* m (- (+ (* 1/4 m) (* 1/2 n)) M)) (pow (- (* 1/2 n) M) 2))
(fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) (-.f64 (.f64 #s(literal 1/2 binary64) n) M) (.f64 m (-.f64 (fma.f64 #s(literal 1/2 binary64) n (.f64 m #s(literal 1/4 binary64))) M)))
(+ (* m (- (+ (* 1/4 m) (* 1/2 n)) M)) (pow (- (* 1/2 n) M) 2))
(fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) (-.f64 (.f64 #s(literal 1/2 binary64) n) M) (.f64 m (-.f64 (fma.f64 #s(literal 1/2 binary64) n (.f64 m #s(literal 1/4 binary64))) M)))
(* 1/4 (pow m 2))
(.f64 #s(literal 1/4 binary64) (.f64 m m))
(* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))
(.f64 (.f64 m m) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) m)))
(* (pow m 2) (- (+ 1/4 (+ (* 1/2 (/ n m)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))) (/ M m)))
(.f64 (.f64 m m) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) (-.f64 (.f64 #s(literal 1/2 binary64) n) M)) (.f64 m m)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) m))))
(* (pow m 2) (- (+ 1/4 (+ (* 1/2 (/ n m)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))) (/ M m)))
(.f64 (.f64 m m) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) (-.f64 (.f64 #s(literal 1/2 binary64) n) M)) (.f64 m m)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) m))))
(* 1/4 (pow m 2))
(.f64 #s(literal 1/4 binary64) (.f64 m m))
(* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))
(.f64 (.f64 m m) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) m)))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))
(.f64 (.f64 m m) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) n (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) m)) M) (neg.f64 m))))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))
(.f64 (.f64 m m) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) n (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) m)) M) (neg.f64 m))))
(pow (- (* 1/2 m) M) 2)
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) m) M) (-.f64 (*.f64 #s(literal 1/2 binary64) m) M))
(+ (* n (- (* 1/2 m) M)) (pow (- (* 1/2 m) M) 2))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) m) M) (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) n))
(+ (* n (- (+ (* 1/4 n) (* 1/2 m)) M)) (pow (- (* 1/2 m) M) 2))
(fma.f64 n (-.f64 (fma.f64 n #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) m)) M) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) m) M) (-.f64 (.f64 #s(literal 1/2 binary64) m) M)))
(+ (* n (- (+ (* 1/4 n) (* 1/2 m)) M)) (pow (- (* 1/2 m) M) 2))
(fma.f64 n (-.f64 (fma.f64 n #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) m)) M) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) m) M) (-.f64 (.f64 #s(literal 1/2 binary64) m) M)))
(* 1/4 (pow n 2))
(.f64 #s(literal 1/4 binary64) (.f64 n n))
(* (pow n 2) (- (+ 1/4 (* 1/2 (/ m n))) (/ M n)))
(.f64 (.f64 n n) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) n)))
(* (pow n 2) (- (+ 1/4 (+ (* 1/2 (/ m n)) (/ (pow (- (* 1/2 m) M) 2) (pow n 2)))) (/ M n)))
(.f64 (.f64 n n) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) m) M) (-.f64 (.f64 #s(literal 1/2 binary64) m) M)) (.f64 n n)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) n))))
(* (pow n 2) (- (+ 1/4 (+ (* 1/2 (/ m n)) (/ (pow (- (* 1/2 m) M) 2) (pow n 2)))) (/ M n)))
(.f64 (.f64 n n) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) m) M) (-.f64 (.f64 #s(literal 1/2 binary64) m) M)) (.f64 n n)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) n))))
(* 1/4 (pow n 2))
(.f64 #s(literal 1/4 binary64) (.f64 n n))
(* (pow n 2) (- (+ 1/4 (* 1/2 (/ m n))) (/ M n)))
(.f64 (.f64 n n) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) n)))
(* (pow n 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 m) M)) (* -1 (/ (pow (- (* 1/2 m) M) 2) n))) n))))
(.f64 (.f64 n n) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) m) M)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) m) M) (-.f64 (.f64 #s(literal 1/2 binary64) m) M)) n)) n)))
(* (pow n 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 m) M)) (* -1 (/ (pow (- (* 1/2 m) M) 2) n))) n))))
(.f64 (.f64 n n) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) m) M)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) m) M) (-.f64 (.f64 #s(literal 1/2 binary64) m) M)) n)) n)))
(* 1/4 (pow (+ m n) 2))
(.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)))
(+ (* -1 (* M (+ m n))) (* 1/4 (pow (+ m n) 2)))
(fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (.f64 M (-.f64 (neg.f64 m) n)))
(+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* -1 (+ m n)))))
(fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (.f64 M (-.f64 M (+.f64 n m))))
(+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* -1 (+ m n)))))
(fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (.f64 M (-.f64 M (+.f64 n m))))
(pow M 2)
(*.f64 M M)
(* (pow M 2) (+ 1 (* -1 (/ (+ m n) M))))
(.f64 (.f64 M M) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 n m) M)))
(* (pow M 2) (+ 1 (+ (* -1 (/ (+ m n) M)) (* 1/4 (/ (pow (+ m n) 2) (pow M 2))))))
(.f64 (.f64 M M) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 n m) (+.f64 n m)) (.f64 M M)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 n m) M))))
(* (pow M 2) (+ 1 (+ (* -1 (/ (+ m n) M)) (* 1/4 (/ (pow (+ m n) 2) (pow M 2))))))
(.f64 (.f64 M M) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (+.f64 n m) (+.f64 n m)) (.f64 M M)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 n m) M))))
(pow M 2)
(*.f64 M M)
(* (pow M 2) (+ 1 (* -1 (/ (+ m n) M))))
(.f64 (.f64 M M) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 n m) M)))
(* (pow M 2) (+ 1 (* -1 (/ (+ m (+ n (* -1/4 (/ (pow (+ m n) 2) M)))) M))))
(.f64 (.f64 M M) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 n m) (+.f64 n m)) M) (+.f64 n m)) M)))
(* (pow M 2) (+ 1 (* -1 (/ (+ m (+ n (* -1/4 (/ (pow (+ m n) 2) M)))) M))))
(.f64 (.f64 M M) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 n m) (+.f64 n m)) M) (+.f64 n m)) M)))
(- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) (-.f64 (.f64 #s(literal 1/2 binary64) n) M) l))
(- (+ (fabs (- m n)) (* m (- M (* 1/2 n)))) (+ l (pow (- (* 1/2 n) M) 2)))
(-.f64 (fma.f64 m (+.f64 M (.f64 n #s(literal -1/2 binary64))) (fabs.f64 (-.f64 n m))) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) l))
(- (+ (fabs (- m n)) (* m (- (+ M (* -1/4 m)) (* 1/2 n)))) (+ l (pow (- (* 1/2 n) M) 2)))
(fma.f64 m (fma.f64 m #s(literal -1/4 binary64) (+.f64 M (.f64 n #s(literal -1/2 binary64)))) (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) l)))
(- (+ (fabs (- m n)) (* m (- (+ M (* -1/4 m)) (* 1/2 n)))) (+ l (pow (- (* 1/2 n) M) 2)))
(fma.f64 m (fma.f64 m #s(literal -1/4 binary64) (+.f64 M (.f64 n #s(literal -1/2 binary64)))) (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) l)))
(* -1/4 (pow m 2))
(.f64 (.f64 m m) #s(literal -1/4 binary64))
(* (pow m 2) (- (/ M m) (+ 1/4 (* 1/2 (/ n m)))))
(.f64 (.f64 m m) (-.f64 (/.f64 M m) (fma.f64 #s(literal 1/2 binary64) (/.f64 n m) #s(literal 1/4 binary64))))
(* (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)))))))
(.f64 (.f64 m m) (+.f64 (/.f64 (fabs.f64 (-.f64 n m)) (.f64 m m)) (-.f64 (/.f64 M m) (+.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 n m) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) (-.f64 (.f64 #s(literal 1/2 binary64) n) M)) (.f64 m m)))) (/.f64 l (.f64 m 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)))))))
(.f64 (.f64 m m) (+.f64 (/.f64 (fabs.f64 (-.f64 n m)) (.f64 m m)) (-.f64 (/.f64 M m) (+.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 n m) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) (-.f64 (.f64 #s(literal 1/2 binary64) n) M)) (.f64 m m)))) (/.f64 l (.f64 m m))))))
(* -1/4 (pow m 2))
(.f64 (.f64 m m) #s(literal -1/4 binary64))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(.f64 (.f64 m m) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) (neg.f64 m)) #s(literal -1/4 binary64)))
(* (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))
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(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
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(* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
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(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
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(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
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(* (cos (* 1/2 (* K (+ m n)))) (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))))
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(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2)))))
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(+ (* 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))))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
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(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
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(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
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(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
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(* (cos (* 1/2 (* K (+ m n)))) (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))))
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(+ (* 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)))))))
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(+ (* 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)))))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2)))))
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(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
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(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
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(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
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(* (cos (* 1/2 (* K (+ m n)))) (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
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(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
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(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
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(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
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(* (cos (* 1/2 (* K (+ m n)))) (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))))
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(+ (* 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)))))))
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(+ (* 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)))))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(+ (cos (* 1/2 (* K (+ m n)))) (* M (sin (* 1/2 (* K (+ m n))))))
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(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow M 2)))
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(+ 1 (* (pow M 2) (- (* 1/24 (pow M 2)) 1/2)))
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(+ 1 (* (pow M 2) (- (* (pow M 2) (+ 1/24 (* -1/720 (pow M 2)))) 1/2)))
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(exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 n m)) (+.f64 n m) l)))
(+ (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* M (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ m n))))
(fma.f64 (.f64 M (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (.f64 #s(literal 1/4 binary64) (+.f64 n m)) (+.f64 n m) l))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 n m)) (+.f64 n m) l))))
(+ (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* M (+ (* M (* (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))))) (+ m n)))))
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(+ (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* M (+ (* M (+ (* M (* (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))))) (- (* 1/2 (pow (+ m n) 2)) 1)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ m n)))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
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(exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))
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(+ (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))) (* -1 (* l (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))))
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(+ (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))) (* l (+ (* -1 (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))) (* 1/2 (* l (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))))))
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(+ (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))) (* l (+ (* -1 (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))) (* l (+ (* -1/6 (* l (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))) (* 1/2 (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))))))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
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(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
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(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
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(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
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(- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) (-.f64 (.f64 #s(literal 1/2 binary64) n) M) l))
(- (+ (fabs (- m n)) (* m (- M (* 1/2 n)))) (+ l (pow (- (* 1/2 n) M) 2)))
(-.f64 (fma.f64 m (+.f64 M (.f64 n #s(literal -1/2 binary64))) (fabs.f64 (-.f64 n m))) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) l))
(- (+ (fabs (- m n)) (* m (- (+ M (* -1/4 m)) (* 1/2 n)))) (+ l (pow (- (* 1/2 n) M) 2)))
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(- (+ (fabs (- m n)) (* m (- (+ M (* -1/4 m)) (* 1/2 n)))) (+ l (pow (- (* 1/2 n) M) 2)))
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(* -1/4 (pow m 2))
(.f64 (.f64 m m) #s(literal -1/4 binary64))
(* (pow m 2) (- (/ M m) (+ 1/4 (* 1/2 (/ n m)))))
(.f64 (.f64 m m) (-.f64 (/.f64 M m) (fma.f64 #s(literal 1/2 binary64) (/.f64 n m) #s(literal 1/4 binary64))))
(* (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)))))))
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(* (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)))))))
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(* -1/4 (pow m 2))
(.f64 (.f64 m m) #s(literal -1/4 binary64))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(.f64 (.f64 m m) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) (neg.f64 m)) #s(literal -1/4 binary64)))
(* (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))
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(* (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))
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(- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) m) M) (-.f64 (.f64 #s(literal 1/2 binary64) m) M) l))
(- (+ (fabs (- m n)) (* n (- M (* 1/2 m)))) (+ l (pow (- (* 1/2 m) M) 2)))
(-.f64 (fma.f64 n (+.f64 M (.f64 m #s(literal -1/2 binary64))) (fabs.f64 (-.f64 n m))) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) m) M) (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) l))
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(- (+ (fabs (- m n)) (* n (- (+ M (* -1/4 n)) (* 1/2 m)))) (+ l (pow (- (* 1/2 m) M) 2)))
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(* -1/4 (pow n 2))
(.f64 (.f64 n n) #s(literal -1/4 binary64))
(* (pow n 2) (- (/ M n) (+ 1/4 (* 1/2 (/ m n)))))
(.f64 (.f64 n n) (-.f64 (/.f64 M n) (fma.f64 #s(literal 1/2 binary64) (/.f64 m n) #s(literal 1/4 binary64))))
(* (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)))))))
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(* (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)))))))
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(* -1/4 (pow n 2))
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(* (pow n 2) (- (* -1 (/ (- (* 1/2 m) M) n)) 1/4))
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(* (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))
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(- (+ (fabs (- m n)) (* M (+ m n))) (+ l (* 1/4 (pow (+ m n) 2))))
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(- (+ (fabs (- m n)) (* M (- (* -1 M) (* -1 (+ m n))))) (+ l (* 1/4 (pow (+ m n) 2))))
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(- (+ (fabs (- m n)) (* M (- (* -1 M) (* -1 (+ m n))))) (+ l (* 1/4 (pow (+ m n) 2))))
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(* -1 (pow M 2))
(*.f64 M (neg.f64 M))
(* (pow M 2) (- (+ (/ m M) (/ n M)) 1))
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(fma.f64 m (fma.f64 m (fma.f64 #s(literal -1/8 binary64) (.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 n K)) M)) (.f64 K K)) (.f64 (.f64 (.f64 #s(literal 1/48 binary64) (.f64 K (.f64 K K))) m) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 n K)) M)))) (.f64 (.f64 #s(literal -1/2 binary64) K) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 n K)) M)))) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K m)) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 m K) (neg.f64 M)))
(+ (cos (- (* 1/2 (* K m)) M)) (* -1/2 (* K (* n (sin (- (* 1/2 (* K m)) M))))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 n K) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 m K) (neg.f64 M)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 m K) (neg.f64 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)))))))
(fma.f64 n (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 K K) n) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 m K) (neg.f64 M)))) (.f64 (.f64 #s(literal -1/2 binary64) K) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 m K) (neg.f64 M))))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 m K) (neg.f64 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)))))))
(fma.f64 n (fma.f64 n (fma.f64 #s(literal 1/48 binary64) (.f64 (.f64 (.f64 K (.f64 K K)) n) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 m K) (neg.f64 M)))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 m K) (neg.f64 M))))) (.f64 (.f64 #s(literal -1/2 binary64) K) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 m K) (neg.f64 M))))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 m K) (neg.f64 M))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (* 1/2 (* K (+ m n))))
(cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))
(+ (cos (* 1/2 (* K (+ m n)))) (* M (sin (* 1/2 (* K (+ m n))))))
(fma.f64 M (sin.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))) (cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))))
(+ (cos (* 1/2 (* K (+ m n)))) (* M (- (* -1/2 (* M (cos (* 1/2 (* K (+ m n)))))) (* -1 (sin (* 1/2 (* K (+ m n))))))))
(fma.f64 M (fma.f64 (.f64 #s(literal -1/2 binary64) M) (cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))) (sin.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
(+ (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))))))))
(fma.f64 M (fma.f64 M (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))) (.f64 (.f64 #s(literal -1/6 binary64) M) (sin.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(- (* 1/2 (/ (* K m) M)) 1)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 m K) M) #s(literal -1 binary64))
(- (+ (* 1/2 (/ (* K m) M)) (* 1/2 (/ (* K n) M))) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 (/.f64 m M) (/.f64 n M))) #s(literal -1 binary64))
(- (+ (* 1/2 (/ (* K m) M)) (* 1/2 (/ (* K n) M))) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 (/.f64 m M) (/.f64 n M))) #s(literal -1 binary64))
(- (+ (* 1/2 (/ (* K m) M)) (* 1/2 (/ (* K n) M))) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 (/.f64 m M) (/.f64 n M))) #s(literal -1 binary64))
(* 1/2 (/ (* K n) M))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 n K)) M)
(* n (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K m) (* M n)))) (/ 1 n)))
(.f64 n (fma.f64 #s(literal 1/2 binary64) (fma.f64 K (/.f64 m (.f64 n M)) (/.f64 K M)) (/.f64 #s(literal -1 binary64) n)))
(* n (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K m) (* M n)))) (/ 1 n)))
(.f64 n (fma.f64 #s(literal 1/2 binary64) (fma.f64 K (/.f64 m (.f64 n M)) (/.f64 K M)) (/.f64 #s(literal -1 binary64) n)))
(* n (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K m) (* M n)))) (/ 1 n)))
(.f64 n (fma.f64 #s(literal 1/2 binary64) (fma.f64 K (/.f64 m (.f64 n M)) (/.f64 K M)) (/.f64 #s(literal -1 binary64) n)))
(* 1/2 (/ (* K n) M))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 n K)) M)
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (/ (* K m) M)) 1) n)) (* -1/2 (/ K M)))))
(neg.f64 (.f64 n (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) K) M) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 m K) M) #s(literal -1 binary64)) n))))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (/ (* K m) M)) 1) n)) (* -1/2 (/ K M)))))
(neg.f64 (.f64 n (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) K) M) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 m K) M) #s(literal -1 binary64)) n))))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (/ (* K m) M)) 1) n)) (* -1/2 (/ K M)))))
(neg.f64 (.f64 n (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) K) M) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 m K) M) #s(literal -1 binary64)) n))))
(- (* 1/2 (/ (* K n) M)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 n M) #s(literal -1 binary64))
(- (+ (* 1/2 (/ (* K m) M)) (* 1/2 (/ (* K n) M))) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 (/.f64 m M) (/.f64 n M))) #s(literal -1 binary64))
(- (+ (* 1/2 (/ (* K m) M)) (* 1/2 (/ (* K n) M))) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 (/.f64 m M) (/.f64 n M))) #s(literal -1 binary64))
(- (+ (* 1/2 (/ (* K m) M)) (* 1/2 (/ (* K n) M))) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 (/.f64 m M) (/.f64 n M))) #s(literal -1 binary64))
(* 1/2 (/ (* K m) M))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M))
(* m (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K n) (* M m)))) (/ 1 m)))
(.f64 m (fma.f64 #s(literal 1/2 binary64) (fma.f64 K (/.f64 n (.f64 M m)) (/.f64 K M)) (/.f64 #s(literal -1 binary64) m)))
(* m (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K n) (* M m)))) (/ 1 m)))
(.f64 m (fma.f64 #s(literal 1/2 binary64) (fma.f64 K (/.f64 n (.f64 M m)) (/.f64 K M)) (/.f64 #s(literal -1 binary64) m)))
(* m (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K n) (* M m)))) (/ 1 m)))
(.f64 m (fma.f64 #s(literal 1/2 binary64) (fma.f64 K (/.f64 n (.f64 M m)) (/.f64 K M)) (/.f64 #s(literal -1 binary64) m)))
(* 1/2 (/ (* K m) M))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (/ (* K n) M)) 1) m)) (* -1/2 (/ K M)))))
(neg.f64 (.f64 m (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) K) M) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 n M) #s(literal -1 binary64)) m))))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (/ (* K n) M)) 1) m)) (* -1/2 (/ K M)))))
(neg.f64 (.f64 m (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) K) M) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 n M) #s(literal -1 binary64)) m))))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (/ (* K n) M)) 1) m)) (* -1/2 (/ K M)))))
(neg.f64 (.f64 m (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) K) M) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 n M) #s(literal -1 binary64)) m))))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 (+.f64 n m) M) #s(literal -1 binary64))
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 (+.f64 n m) M) #s(literal -1 binary64))
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 (+.f64 n m) M) #s(literal -1 binary64))
(* 1/2 (/ (* K (+ m n)) M))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M)
(* K (- (* 1/2 (/ (+ m n) M)) (/ 1 K)))
(*.f64 K (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 n m) M) (/.f64 #s(literal -1 binary64) K)))
(* K (- (* 1/2 (/ (+ m n) M)) (/ 1 K)))
(*.f64 K (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 n m) M) (/.f64 #s(literal -1 binary64) K)))
(* K (- (* 1/2 (/ (+ m n) M)) (/ 1 K)))
(*.f64 K (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 n m) M) (/.f64 #s(literal -1 binary64) K)))
(* 1/2 (/ (* K (+ m n)) M))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M)
(* -1 (* K (+ (* -1/2 (/ (+ m n) M)) (/ 1 K))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) K) (/.f64 (+.f64 n m) M) #s(literal 1 binary64)))
(* -1 (* K (+ (* -1/2 (/ (+ m n) M)) (/ 1 K))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) K) (/.f64 (+.f64 n m) M) #s(literal 1 binary64)))
(* -1 (* K (+ (* -1/2 (/ (+ m n) M)) (/ 1 K))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) K) (/.f64 (+.f64 n m) M) #s(literal 1 binary64)))
(* 1/2 (/ (* K (+ m n)) M))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M)
(/ (+ (* -1 M) (* 1/2 (* K (+ m n)))) M)
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M) M)
(/ (+ (* -1 M) (* 1/2 (* K (+ m n)))) M)
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M) M)
(/ (+ (* -1 M) (* 1/2 (* K (+ m n)))) M)
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M) M)
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 (+.f64 n m) M) #s(literal -1 binary64))
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 (+.f64 n m) M) #s(literal -1 binary64))
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 (+.f64 n m) M) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 (+.f64 n m) M) #s(literal -1 binary64))
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 (+.f64 n m) M) #s(literal -1 binary64))
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 (+.f64 n m) M) #s(literal -1 binary64))

rewrite461.0ms (3.4%)

Memory

-30.2MiB live, 610.9MiB allocated

Rules

5 404×	`lower-*.f32`
5 380×	`lower-*.f64`
4 166×	`lower-/.f32`
4 158×	`lower-/.f64`
2 446×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	444
0	115	444
1	367	444
2	2656	444
0	9251	444

Stop Event

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

Counts

24 → 459

Calls

Call 1

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

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

eval319.0ms (2.3%)

Memory: 39.3MiB live, 650.5MiB allocated
Compiler: Compiled 112 386 to 4 179 computations (96.3% saved)

prune349.0ms (2.6%)

Memory

-2.7MiB live, 572.4MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	2 329	16	2 345
Fresh	8	2	10
Picked	5	0	5
Done	0	0	0
Total	2 342	18	2 360

Accuracy

97.2%

Counts

2 360 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.7%	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))) K) (fma.f64 n (-.f64 n m) (.f64 m m))) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	24.4%	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (*.f64 (+.f64 m n) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	47.3%	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (*.f64 (+.f64 m n) (-.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))))))
	47.4%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 m n) (-.f64 m n)) K) (/.f64 #s(literal 1 binary64) (-.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))))))
▶	37.9%	(.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)))))
	32.4%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 #s(literal 2 binary64) (+.f64 m n))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	14.5%	(.f64 (cos.f64 (-.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 m n) K))) #s(literal -1 binary64))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	63.1%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 M (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) M) (+.f64 m n)) K #s(literal -1 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))))))
▶	66.9%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 M (fma.f64 (.f64 (+.f64 n m) K) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))))
	43.8%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 M (fma.f64 (.f64 (+.f64 n m) K) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 M (neg.f64 M)))))
	29.2%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 M (fma.f64 (.f64 (+.f64 n m) K) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	33.4%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 n K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
▶	33.0%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 m K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	52.9%	(.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)))))
	54.0%	(.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 m m) #s(literal -1/4 binary64)))))
	53.0%	(.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 M (neg.f64 M)))))
▶	37.9%	(.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))))
▶	73.9%	(.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 (-.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 950 to 600 computations (36.8% saved)

simplify236.0ms (1.7%)

Memory

20.1MiB live, 325.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 M (fma.f64 (.f64 (+.f64 n m) K) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))))
cost-diff	256	(fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n))))))
cost-diff	896	(.f64 M (fma.f64 (.f64 (+.f64 n m) K) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 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)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 m K))
cost-diff	0	#s(approx (- (/ (* K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 m K)))
cost-diff	0	(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 m K))))
cost-diff	0	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 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)))) (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	128	(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
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	1024	(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	5056	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))

Rules

11 724×	`lower-fma.f32`
11 718×	`lower-fma.f64`
4 106×	`lower-*.f32`
4 078×	`lower-*.f64`
2 776×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	744
0	121	737
1	195	736
2	353	723
3	974	711
4	3553	701
0	8756	699

Stop Event

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

Calls

Call 1

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

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

localize317.0ms (2.3%)

Memory

-18.2MiB live, 513.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n))))
accuracy	3.847147631017853	(fma.f64 (*.f64 (+.f64 n m) K) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64))
accuracy	4.787156481727063	(.f64 M (fma.f64 (.f64 (+.f64 n m) K) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64)))
accuracy	38.17582025192712	(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 M (fma.f64 (.f64 (+.f64 n m) K) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64)))))
accuracy	0.00390625	(*.f64 K (+.f64 m n))
accuracy	0.0078125	(.f64 (.f64 n n) #s(literal -1/4 binary64))
accuracy	36.57822490787705	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))
accuracy	38.17582025192712	(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	38.17582025192712	(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 m K))))
accuracy	38.37925497789005	#s(approx (- (/ (* K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 m K)))
accuracy	51.436934613751134	#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	0	(cos.f64 M)
accuracy	37.01298543658989	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
accuracy	51.436934613751134	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
accuracy	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)))))
accuracy	0.015625	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
accuracy	29.038594683418037	#s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	37.01298543658989	#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))))

Samples

159.0ms	203×	1	valid
10.0ms	30×	0	valid
8.0ms	23×	0	exit

Compiler

Compiled 627 to 50 computations (92% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-mult: 32.0ms (25.3% of total)

adjust: 25.0ms (19.8% of total)

ival-cos: 19.0ms (15% of total)

ival-div: 13.0ms (10.3% of total)

ival-sub: 12.0ms (9.5% of total)

ival-add: 10.0ms (7.9% of total)

ival-exp: 5.0ms (4% of total)

ival-pow2: 5.0ms (4% of total)

ival-neg: 3.0ms (2.4% of total)

ival-fabs: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series107.0ms (0.8%)

Memory

13.5MiB live, 123.8MiB allocated

Counts

28 → 1 212

Calls

Call 1

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

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

Calls

303 calls:

Time	Variable		Point	Expression
4.0ms	n	@	-inf	(/ 1 (exp (+ (* (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n))))))
3.0ms	m	@	0	(/ 1 (exp (+ (* (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n))))))
2.0ms	n	@	0	(/ 1 (exp (+ (* (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n))))))
2.0ms	n	@	0	(* (cos (- (/ (* K (+ m n)) 2) M)) (/ 1 (exp (+ (* (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n)))))))
2.0ms	m	@	0	(* (cos (- (/ (* K (+ m n)) 2) M)) (/ 1 (exp (+ (* (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n)))))))

simplify396.0ms (2.9%)

Memory

-3.9MiB live, 617.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 528×	`lower-fma.f64`
7 528×	`lower-fma.f32`
6 760×	`lower-*.f64`
6 760×	`lower-*.f32`
5 990×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1152	31987
1	3653	31142
0	8295	30276

Stop Event

1×	iter limit
1×	node limit

Counts

1 212 → 1 210

Calls

Call 1

Inputs
(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))
(* 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) (- (+ 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))))
(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))
(* 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)))
(* 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))))
(* 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)))))
(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))))))
(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))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))
(+ (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))))))
(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 (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 (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))
(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m)))))
(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* n (+ (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))
(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* n (+ (* n (+ (* n (* (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))))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4)))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 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 (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
(exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
(exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
(exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))))
(+ (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* M (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ m n))))
(+ (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* M (+ (* M (* (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))))) (+ m n)))))
(+ (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* M (+ (* M (+ (* M (* (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))))) (- (* 1/2 (pow (+ m n) 2)) 1)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ m n)))))
(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 M) (* 1/2 (+ m n))) 2))))
(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
(exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))
(+ (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))) (* -1 (* l (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))) (* l (+ (* -1 (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))) (* 1/2 (* l (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))))))
(+ (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))) (* l (+ (* -1 (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))) (* l (+ (* -1/6 (* l (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))) (* 1/2 (exp (- (fabs (- m n)) (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))))
(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
(- (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)))
(* -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) (- (* -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))
(- (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)))
(* -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)))))))
(* -1/4 (pow n 2))
(* (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))
(- (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))))
(* -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)))))))
(* -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))
(- (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))
(* -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))))
(* -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)))))
(* -1 (pow (- (* 1/2 n) M) 2))
(- (* m (- M (* 1/2 n))) (pow (- (* 1/2 n) M) 2))
(- (* m (- (+ M (* -1/4 m)) (* 1/2 n))) (pow (- (* 1/2 n) M) 2))
(- (* m (- (+ M (* -1/4 m)) (* 1/2 n))) (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) (- (+ (* -1 (/ (pow (- (* 1/2 n) M) 2) (pow m 2))) (/ M m)) (+ 1/4 (* 1/2 (/ n m)))))
(* (pow m 2) (- (+ (* -1 (/ (pow (- (* 1/2 n) M) 2) (pow m 2))) (/ M m)) (+ 1/4 (* 1/2 (/ n m)))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (/ (pow (- (* 1/2 n) M) 2) m) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (/ (pow (- (* 1/2 n) M) 2) m) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* -1 (pow (- (* 1/2 m) M) 2))
(- (* n (- M (* 1/2 m))) (pow (- (* 1/2 m) M) 2))
(- (* n (- (+ M (* -1/4 n)) (* 1/2 m))) (pow (- (* 1/2 m) M) 2))
(- (* n (- (+ M (* -1/4 n)) (* 1/2 m))) (pow (- (* 1/2 m) M) 2))
(* -1/4 (pow n 2))
(* (pow n 2) (- (/ M n) (+ 1/4 (* 1/2 (/ m n)))))
(* (pow n 2) (- (+ (* -1 (/ (pow (- (* 1/2 m) M) 2) (pow n 2))) (/ M n)) (+ 1/4 (* 1/2 (/ m n)))))
(* (pow n 2) (- (+ (* -1 (/ (pow (- (* 1/2 m) M) 2) (pow n 2))) (/ M n)) (+ 1/4 (* 1/2 (/ m n)))))
(* -1/4 (pow n 2))
(* (pow n 2) (- (* -1 (/ (- (* 1/2 m) M) n)) 1/4))
(* (pow n 2) (- (* -1 (/ (- (/ (pow (- (* 1/2 m) M) 2) n) (* -1 (- (* 1/2 m) M))) n)) 1/4))
(* (pow n 2) (- (* -1 (/ (- (/ (pow (- (* 1/2 m) M) 2) n) (* -1 (- (* 1/2 m) M))) n)) 1/4))
(* -1/4 (pow (+ m n) 2))
(- (* M (+ m n)) (* 1/4 (pow (+ m n) 2)))
(- (* M (- (* -1 M) (* -1 (+ m n)))) (* 1/4 (pow (+ m n) 2)))
(- (* M (- (* -1 M) (* -1 (+ m n)))) (* 1/4 (pow (+ m n) 2)))
(* -1 (pow M 2))
(* (pow M 2) (- (+ (/ m M) (/ n M)) 1))
(* (pow M 2) (- (* -1/4 (/ (pow (+ m n) 2) (pow M 2))) (+ 1 (* -1 (/ (+ m n) M)))))
(* (pow M 2) (- (* -1/4 (/ (pow (+ m n) 2) (pow M 2))) (+ 1 (* -1 (/ (+ m n) M)))))
(* -1 (pow M 2))
(* (pow M 2) (- (+ (/ m M) (/ n M)) 1))
(* (pow M 2) (- (* -1 (/ (- (* 1/4 (/ (pow (+ m n) 2) M)) (+ m n)) M)) 1))
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(* n (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K m) (* M n)))) (/ 1 n)))
(* 1/2 (/ (* K n) M))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (/ (* K m) M)) 1) n)) (* -1/2 (/ K M)))))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (/ (* K m) M)) 1) n)) (* -1/2 (/ K M)))))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (/ (* K m) M)) 1) n)) (* -1/2 (/ K M)))))
(- (* 1/2 (/ (* K n) M)) 1)
(- (+ (* 1/2 (/ (* K m) M)) (* 1/2 (/ (* K n) M))) 1)
(- (+ (* 1/2 (/ (* K m) M)) (* 1/2 (/ (* K n) M))) 1)
(- (+ (* 1/2 (/ (* K m) M)) (* 1/2 (/ (* K n) M))) 1)
(* 1/2 (/ (* K m) M))
(* m (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K n) (* M m)))) (/ 1 m)))
(* m (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K n) (* M m)))) (/ 1 m)))
(* m (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K n) (* M m)))) (/ 1 m)))
(* 1/2 (/ (* K m) M))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (/ (* K n) M)) 1) m)) (* -1/2 (/ K M)))))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (/ (* K n) M)) 1) m)) (* -1/2 (/ K M)))))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (/ (* K n) M)) 1) m)) (* -1/2 (/ K M)))))
-1
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(* 1/2 (/ (* K (+ m n)) M))
(* K (- (* 1/2 (/ (+ m n) M)) (/ 1 K)))
(* K (- (* 1/2 (/ (+ m n) M)) (/ 1 K)))
(* K (- (* 1/2 (/ (+ m n) M)) (/ 1 K)))
(* 1/2 (/ (* K (+ m n)) M))
(* -1 (* K (+ (* -1/2 (/ (+ m n) M)) (/ 1 K))))
(* -1 (* K (+ (* -1/2 (/ (+ m n) M)) (/ 1 K))))
(* -1 (* K (+ (* -1/2 (/ (+ m n) M)) (/ 1 K))))
(* 1/2 (/ (* K (+ m n)) M))
(/ (+ (* -1 M) (* 1/2 (* K (+ m n)))) M)
(/ (+ (* -1 M) (* 1/2 (* K (+ m n)))) M)
(/ (+ (* -1 M) (* 1/2 (* K (+ m n)))) M)
-1
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
-1
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(- (* 1/2 (/ (* K (+ m n)) M)) 1)

Outputs
(pow (- (* 1/2 n) M) 2)
(*.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)))
(+ (* m (- (* 1/2 n) M)) (pow (- (* 1/2 n) M) 2))
(*.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (+.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m))
(+ (* m (- (+ (* 1/4 m) (* 1/2 n)) M)) (pow (- (* 1/2 n) M) 2))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (.f64 m (-.f64 (fma.f64 m #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) n)) M)))
(+ (* m (- (+ (* 1/4 m) (* 1/2 n)) M)) (pow (- (* 1/2 n) M) 2))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (.f64 m (-.f64 (fma.f64 m #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) n)) M)))
(* 1/4 (pow m 2))
(.f64 #s(literal 1/4 binary64) (.f64 m m))
(* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))
(.f64 (.f64 m m) (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m)))
(* (pow m 2) (- (+ 1/4 (+ (* 1/2 (/ n m)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))) (/ M m)))
(.f64 (.f64 m m) (+.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 n m) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (.f64 m m))) (/.f64 M m))))
(* (pow m 2) (- (+ 1/4 (+ (* 1/2 (/ n m)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))) (/ M m)))
(.f64 (.f64 m m) (+.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 n m) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (.f64 m m))) (/.f64 M m))))
(* 1/4 (pow m 2))
(.f64 #s(literal 1/4 binary64) (.f64 m m))
(* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))
(.f64 (.f64 m m) (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m)))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))
(.f64 (.f64 m m) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) m)) m)))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))
(.f64 (.f64 m m) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) m)) m)))
(pow (- (* 1/2 m) M) 2)
(*.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)))
(+ (* n (- (* 1/2 m) M)) (pow (- (* 1/2 m) M) 2))
(*.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (+.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) n))
(+ (* n (- (+ (* 1/4 n) (* 1/2 m)) M)) (pow (- (* 1/2 m) M) 2))
(fma.f64 n (-.f64 (fma.f64 n #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) m)) M) (.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M))))
(+ (* n (- (+ (* 1/4 n) (* 1/2 m)) M)) (pow (- (* 1/2 m) M) 2))
(fma.f64 n (-.f64 (fma.f64 n #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) m)) M) (.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M))))
(* 1/4 (pow n 2))
(.f64 #s(literal 1/4 binary64) (.f64 n n))
(* (pow n 2) (- (+ 1/4 (* 1/2 (/ m n))) (/ M n)))
(.f64 (.f64 n n) (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) n)))
(* (pow n 2) (- (+ 1/4 (+ (* 1/2 (/ m n)) (/ (pow (- (* 1/2 m) M) 2) (pow n 2)))) (/ M n)))
(.f64 (.f64 n n) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 m n) #s(literal 1/4 binary64)) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M))) (.f64 n n))) (/.f64 M n)))
(* (pow n 2) (- (+ 1/4 (+ (* 1/2 (/ m n)) (/ (pow (- (* 1/2 m) M) 2) (pow n 2)))) (/ M n)))
(.f64 (.f64 n n) (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 m n) #s(literal 1/4 binary64)) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M))) (.f64 n n))) (/.f64 M n)))
(* 1/4 (pow n 2))
(.f64 #s(literal 1/4 binary64) (.f64 n n))
(* (pow n 2) (- (+ 1/4 (* 1/2 (/ m n))) (/ M n)))
(.f64 (.f64 n n) (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) n)))
(* (pow n 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 m) M)) (* -1 (/ (pow (- (* 1/2 m) M) 2) n))) n))))
(.f64 (.f64 n n) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M))) n)) n)))
(* (pow n 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 m) M)) (* -1 (/ (pow (- (* 1/2 m) M) 2) n))) n))))
(.f64 (.f64 n n) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M))) n)) n)))
(* 1/4 (pow (+ m n) 2))
(.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)))
(+ (* -1 (* M (+ m n))) (* 1/4 (pow (+ m n) 2)))
(fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (.f64 M (-.f64 (neg.f64 m) n)))
(+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* -1 (+ m n)))))
(fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (.f64 M (-.f64 M (+.f64 n m))))
(+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* -1 (+ m n)))))
(fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (.f64 M (-.f64 M (+.f64 n m))))
(pow M 2)
(*.f64 M M)
(* (pow M 2) (+ 1 (* -1 (/ (+ m n) M))))
(.f64 (.f64 M M) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 n m) M)))
(* (pow M 2) (+ 1 (+ (* -1 (/ (+ m n) M)) (* 1/4 (/ (pow (+ m n) 2) (pow M 2))))))
(.f64 (.f64 M M) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 n m) M)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m))) (*.f64 M M))))
(* (pow M 2) (+ 1 (+ (* -1 (/ (+ m n) M)) (* 1/4 (/ (pow (+ m n) 2) (pow M 2))))))
(.f64 (.f64 M M) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 n m) M)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m))) (*.f64 M M))))
(pow M 2)
(*.f64 M M)
(* (pow M 2) (+ 1 (* -1 (/ (+ m n) M))))
(.f64 (.f64 M M) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 n m) M)))
(* (pow M 2) (+ 1 (* -1 (/ (+ m (+ n (* -1/4 (/ (pow (+ m n) 2) M)))) M))))
(.f64 (.f64 M M) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 m (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 n m) (+.f64 n m)) M) n)) M)))
(* (pow M 2) (+ 1 (* -1 (/ (+ m (+ n (* -1/4 (/ (pow (+ m n) 2) M)))) M))))
(.f64 (.f64 M M) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 m (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 n m) (+.f64 n m)) M) n)) M)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l)))
(+ (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)))))
(fma.f64 m (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l))) (+.f64 M (.f64 n #s(literal -1/2 binary64)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l))))
(+ (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))))))
(fma.f64 m (fma.f64 m (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l))) (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 M (.f64 n #s(literal -1/2 binary64))) (+.f64 M (.f64 n #s(literal -1/2 binary64)))) #s(literal -1/4 binary64))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l))) (+.f64 M (.f64 n #s(literal -1/2 binary64))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l))))
(+ (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))))))
(fma.f64 m (fma.f64 m (fma.f64 (.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l)))) (fma.f64 #s(literal -1/4 binary64) (+.f64 M (.f64 n #s(literal -1/2 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (+.f64 M (.f64 n #s(literal -1/2 binary64))) (.f64 (+.f64 M (.f64 n #s(literal -1/2 binary64))) (+.f64 M (.f64 n #s(literal -1/2 binary64))))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l))) (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 M (.f64 n #s(literal -1/2 binary64))) (+.f64 M (.f64 n #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l))) (+.f64 M (.f64 n #s(literal -1/2 binary64))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) l)))
(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m)))))
(fma.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) l))) (-.f64 M (.f64 #s(literal 1/2 binary64) m))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) l))))
(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* n (+ (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))
(fma.f64 n (fma.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) l))) (-.f64 M (.f64 #s(literal 1/2 binary64) m)) (.f64 (.f64 n (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) l)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (-.f64 M (.f64 #s(literal 1/2 binary64) m)) (-.f64 M (.f64 #s(literal 1/2 binary64) m))) #s(literal -1/4 binary64)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) l))))
(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* n (+ (* n (+ (* n (* (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))))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4)))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
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(exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l)))
(+ (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* M (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ m n))))
(fma.f64 M (.f64 (+.f64 n m) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) l)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l))))
(+ (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* M (+ (* M (* (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))))) (+ m n)))))
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(+ (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* M (+ (* M (+ (* M (* (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))))) (- (* 1/2 (pow (+ m n) 2)) 1)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ m n)))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M))))
(+ (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))) (* -1 (* l (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))))
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(+ (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))) (* l (+ (* -1 (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))) (* 1/2 (* l (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))))))
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(+ (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))) (* l (+ (* -1 (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))) (* l (+ (* -1/6 (* l (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))) (* 1/2 (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))))))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l))
(- (+ (fabs (- m n)) (* m (- M (* 1/2 n)))) (+ l (pow (- (* 1/2 n) M) 2)))
(-.f64 (fma.f64 m (+.f64 M (*.f64 n #s(literal -1/2 binary64))) (fabs.f64 (-.f64 n m))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l))
(- (+ (fabs (- m n)) (* m (- (+ M (* -1/4 m)) (* 1/2 n)))) (+ l (pow (- (* 1/2 n) M) 2)))
(-.f64 (fma.f64 m (+.f64 (fma.f64 m #s(literal -1/4 binary64) M) (*.f64 n #s(literal -1/2 binary64))) (fabs.f64 (-.f64 n m))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l))
(- (+ (fabs (- m n)) (* m (- (+ M (* -1/4 m)) (* 1/2 n)))) (+ l (pow (- (* 1/2 n) M) 2)))
(-.f64 (fma.f64 m (+.f64 (fma.f64 m #s(literal -1/4 binary64) M) (*.f64 n #s(literal -1/2 binary64))) (fabs.f64 (-.f64 n m))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l))
(* -1/4 (pow m 2))
(.f64 (.f64 m m) #s(literal -1/4 binary64))
(* (pow m 2) (- (/ M m) (+ 1/4 (* 1/2 (/ n m)))))
(.f64 (.f64 m m) (-.f64 (/.f64 M m) (fma.f64 #s(literal 1/2 binary64) (/.f64 n m) #s(literal 1/4 binary64))))
(* (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)))))))
(.f64 (.f64 m m) (+.f64 (/.f64 M m) (-.f64 (/.f64 (fabs.f64 (-.f64 n m)) (.f64 m m)) (+.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 n m) (/.f64 l (.f64 m m)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (.f64 m 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)))))))
(.f64 (.f64 m m) (+.f64 (/.f64 M m) (-.f64 (/.f64 (fabs.f64 (-.f64 n m)) (.f64 m m)) (+.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 n m) (/.f64 l (.f64 m m)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (.f64 m m))))))
(* -1/4 (pow m 2))
(.f64 (.f64 m m) #s(literal -1/4 binary64))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(.f64 (.f64 m m) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m)) #s(literal -1/4 binary64)))
(* (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))
(.f64 (.f64 m m) (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (neg.f64 m)) #s(literal -1/4 binary64)))
(* (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))
(.f64 (.f64 m m) (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (neg.f64 m)) #s(literal -1/4 binary64)))
(- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) l))
(- (+ (fabs (- m n)) (* n (- M (* 1/2 m)))) (+ l (pow (- (* 1/2 m) M) 2)))
(-.f64 (fma.f64 n (-.f64 M (*.f64 #s(literal 1/2 binary64) m)) (fabs.f64 (-.f64 n m))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) l))
(- (+ (fabs (- m n)) (* n (- (+ M (* -1/4 n)) (* 1/2 m)))) (+ l (pow (- (* 1/2 m) M) 2)))
(-.f64 (fma.f64 n (+.f64 M (fma.f64 n #s(literal -1/4 binary64) (*.f64 m #s(literal -1/2 binary64)))) (fabs.f64 (-.f64 n m))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) l))
(- (+ (fabs (- m n)) (* n (- (+ M (* -1/4 n)) (* 1/2 m)))) (+ l (pow (- (* 1/2 m) M) 2)))
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(* -1/4 (pow n 2))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
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(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
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(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
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(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
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1
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(+ (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* M (+ (* M (* (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))))) (+ m n)))))
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(+ (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* M (+ (* M (+ (* M (* (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))))) (- (* 1/2 (pow (+ m n) 2)) 1)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ m n)))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))
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(+ (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))) (* -1 (* l (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))))
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(+ (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))) (* l (+ (* -1 (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))) (* 1/2 (* l (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))))))
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(+ (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))) (* l (+ (* -1 (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))) (* l (+ (* -1/6 (* l (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))) (* 1/2 (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))))))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
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(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l))) (cos.f64 M))
(+ (* -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))))))
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(+ (* 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))))))
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(+ (* 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))))))
(fma.f64 K (fma.f64 K (fma.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 M)) (.f64 (.f64 (+.f64 n m) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))) (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l))) (.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) (sin.f64 (neg.f64 M)))))) (.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l))) (neg.f64 (.f64 (sin.f64 M) (+.f64 n m)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l))) (cos.f64 M)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(/ 1 (exp (- (+ l (pow (- (* 1/2 (+ m n)) M) 2)) (fabs (- m n)))))
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(/ 1 (exp (- (+ l (pow (- (* 1/2 (+ m n)) M) 2)) (fabs (- m n)))))
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(/ 1 (exp (- (+ l (pow (- (* 1/2 (+ m n)) M) 2)) (fabs (- m n)))))
(exp.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l) (fabs.f64 (-.f64 n m)))))
(/ 1 (exp (- (+ l (pow (- (* 1/2 (+ m n)) M) 2)) (fabs (- m n)))))
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(/ 1 (exp (- (pow (- (* 1/2 (+ m n)) M) 2) (+ (fabs (- m n)) (* -1 l)))))
(exp.f64 (neg.f64 (+.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)) (fabs.f64 (-.f64 n m))) l)))
(/ 1 (exp (- (pow (- (* 1/2 (+ m n)) M) 2) (+ (fabs (- m n)) (* -1 l)))))
(exp.f64 (neg.f64 (+.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)) (fabs.f64 (-.f64 n m))) l)))
(/ 1 (exp (- (pow (- (* 1/2 (+ m n)) M) 2) (+ (fabs (- m n)) (* -1 l)))))
(exp.f64 (neg.f64 (+.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)) (fabs.f64 (-.f64 n m))) l)))
(/ 1 (exp (- (pow (- (* 1/2 (+ m n)) M) 2) (+ (fabs (- m n)) (* -1 l)))))
(exp.f64 (neg.f64 (+.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)) (fabs.f64 (-.f64 n m))) l)))
(- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m)))
(- (+ l (+ (* m (- (* 1/2 n) M)) (pow (- (* 1/2 n) M) 2))) (fabs (- m n)))
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (+.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m) l) (fabs.f64 (-.f64 n m)))
(- (+ l (+ (* m (- (+ (* 1/4 m) (* 1/2 n)) M)) (pow (- (* 1/2 n) M) 2))) (fabs (- m n)))
(-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (.f64 m (-.f64 (fma.f64 m #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) n)) M))) (fabs.f64 (-.f64 n m)))
(- (+ l (+ (* m (- (+ (* 1/4 m) (* 1/2 n)) M)) (pow (- (* 1/2 n) M) 2))) (fabs (- m n)))
(-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (.f64 m (-.f64 (fma.f64 m #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) n)) M))) (fabs.f64 (-.f64 n m)))
(* 1/4 (pow m 2))
(.f64 #s(literal 1/4 binary64) (.f64 m m))
(* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))
(.f64 (.f64 m m) (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m)))
(* (pow m 2) (- (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2))))) (+ (/ M m) (/ (fabs (- m n)) (pow m 2)))))
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(* (pow m 2) (- (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2))))) (+ (/ M m) (/ (fabs (- m n)) (pow m 2)))))
(.f64 (.f64 m m) (-.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 n m) (/.f64 l (.f64 m m)))) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (.f64 m m))) (+.f64 (/.f64 M m) (/.f64 (fabs.f64 (-.f64 n m)) (.f64 m m)))))
(* 1/4 (pow m 2))
(.f64 #s(literal 1/4 binary64) (.f64 m m))
(* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))
(.f64 (.f64 m m) (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m)))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (neg (+ n (* -1 m))))) m))) m))))
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(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (neg (+ n (* -1 m))))) m))) m))))
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(- (+ l (pow (- (* 1/2 m) M) 2)) (fabs (- m n)))
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) l) (fabs.f64 (-.f64 n m)))
(- (+ l (+ (* n (- (* 1/2 m) M)) (pow (- (* 1/2 m) M) 2))) (fabs (- m n)))
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (+.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) n) l) (fabs.f64 (-.f64 n m)))
(- (+ l (+ (* n (- (+ (* 1/4 n) (* 1/2 m)) M)) (pow (- (* 1/2 m) M) 2))) (fabs (- m n)))
(-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) l) (.f64 n (-.f64 (fma.f64 n #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) m)) M))) (fabs.f64 (-.f64 n m)))
(- (+ l (+ (* n (- (+ (* 1/4 n) (* 1/2 m)) M)) (pow (- (* 1/2 m) M) 2))) (fabs (- m n)))
(-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) l) (.f64 n (-.f64 (fma.f64 n #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) m)) M))) (fabs.f64 (-.f64 n m)))
(* 1/4 (pow n 2))
(.f64 #s(literal 1/4 binary64) (.f64 n n))
(* (pow n 2) (- (+ 1/4 (* 1/2 (/ m n))) (/ M n)))
(.f64 (.f64 n n) (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) n)))
(* (pow n 2) (- (+ 1/4 (+ (* 1/2 (/ m n)) (+ (/ l (pow n 2)) (/ (pow (- (* 1/2 m) M) 2) (pow n 2))))) (+ (/ M n) (/ (fabs (- m n)) (pow n 2)))))
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(* (pow n 2) (- (+ 1/4 (+ (* 1/2 (/ m n)) (+ (/ l (pow n 2)) (/ (pow (- (* 1/2 m) M) 2) (pow n 2))))) (+ (/ M n) (/ (fabs (- m n)) (pow n 2)))))
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(* 1/4 (pow n 2))
(.f64 #s(literal 1/4 binary64) (.f64 n n))
(* (pow n 2) (- (+ 1/4 (* 1/2 (/ m n))) (/ M n)))
(.f64 (.f64 n n) (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) n)))
(* (pow n 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 m) M)) (* -1 (/ (- (+ l (pow (- (* 1/2 m) M) 2)) (fabs (+ m (* -1 n)))) n))) n))))
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(* (pow n 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 m) M)) (* -1 (/ (- (+ l (pow (- (* 1/2 m) M) 2)) (fabs (+ m (* -1 n)))) n))) n))))
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(- (+ l (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* -1 (+ m n)))))) (fabs (- m n)))
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(- (+ l (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* -1 (+ m n)))))) (fabs (- m n)))
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(pow M 2)
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(* (pow M 2) (+ 1 (* -1 (/ (+ m n) M))))
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(* (pow M 2) (- (+ 1 (+ (* -1 (/ (+ m n) M)) (+ (* 1/4 (/ (pow (+ m n) 2) (pow M 2))) (/ l (pow M 2))))) (/ (fabs (- m n)) (pow M 2))))
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(* (pow M 2) (- (+ 1 (+ (* -1 (/ (+ m n) M)) (+ (* 1/4 (/ (pow (+ m n) 2) (pow M 2))) (/ l (pow M 2))))) (/ (fabs (- m n)) (pow M 2))))
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(pow M 2)
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(* (pow M 2) (+ 1 (* -1 (/ (+ m n) M))))
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(* (pow M 2) (+ 1 (* -1 (/ (+ m (+ n (* -1 (/ (- (+ l (* 1/4 (pow (+ m n) 2))) (fabs (- m n))) M)))) M))))
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(* (pow M 2) (+ 1 (* -1 (/ (+ m (+ n (* -1 (/ (- (+ l (* 1/4 (pow (+ m n) 2))) (fabs (- m n))) M)))) M))))
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(- (pow (- (* 1/2 (+ m n)) M) 2) (fabs (- m n)))
(-.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)) (fabs.f64 (-.f64 n m)))
(- (+ l (pow (- (* 1/2 (+ m n)) M) 2)) (fabs (- m n)))
(-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l) (fabs.f64 (-.f64 n m)))
(- (+ l (pow (- (* 1/2 (+ m n)) M) 2)) (fabs (- m n)))
(-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l) (fabs.f64 (-.f64 n m)))
(- (+ l (pow (- (* 1/2 (+ m n)) M) 2)) (fabs (- m n)))
(-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l) (fabs.f64 (-.f64 n m)))
l
(* l (- (+ 1 (/ (pow (- (* 1/2 (+ m n)) M) 2) l)) (/ (fabs (- m n)) l)))
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(* l (- (+ 1 (/ (pow (- (* 1/2 (+ m n)) M) 2) l)) (/ (fabs (- m n)) l)))
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(* l (- (+ 1 (/ (pow (- (* 1/2 (+ m n)) M) 2) l)) (/ (fabs (- m n)) l)))
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l
(* -1 (* l (- (* -1 (/ (- (pow (- (* 1/2 (+ m n)) M) 2) (fabs (- m n))) l)) 1)))
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(* -1 (* l (- (* -1 (/ (- (pow (- (* 1/2 (+ m n)) M) 2) (fabs (- m n))) l)) 1)))
(neg.f64 (fma.f64 l (/.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)) (fabs.f64 (-.f64 n m))) (neg.f64 l)) (neg.f64 l)))
(* -1 (* l (- (* -1 (/ (- (pow (- (* 1/2 (+ m n)) M) 2) (fabs (- m n))) l)) 1)))
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(/ (cos (neg M)) (exp (- (+ l (pow (- (* 1/2 (+ m n)) M) 2)) (fabs (- m n)))))
(/.f64 (cos.f64 M) (exp.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l) (fabs.f64 (-.f64 n m)))))
(+ (* -1/2 (/ (* K (* (sin (neg M)) (+ m n))) (exp (- (+ l (pow (- (* 1/2 (+ m n)) M) 2)) (fabs (- m n)))))) (/ (cos (neg M)) (exp (- (+ l (pow (- (* 1/2 (+ m n)) M) 2)) (fabs (- m n))))))
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(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 n K)) M)
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (/ (* K m) M)) 1) n)) (* -1/2 (/ K M)))))
(neg.f64 (.f64 n (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) K) M) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 m K) M) #s(literal -1 binary64)) n))))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (/ (* K m) M)) 1) n)) (* -1/2 (/ K M)))))
(neg.f64 (.f64 n (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) K) M) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 m K) M) #s(literal -1 binary64)) n))))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (/ (* K m) M)) 1) n)) (* -1/2 (/ K M)))))
(neg.f64 (.f64 n (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) K) M) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 m K) M) #s(literal -1 binary64)) n))))
(- (* 1/2 (/ (* K n) M)) 1)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n K) M) #s(literal -1 binary64))
(- (+ (* 1/2 (/ (* K m) M)) (* 1/2 (/ (* K n) M))) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 (/.f64 m M) (/.f64 n M))) #s(literal -1 binary64))
(- (+ (* 1/2 (/ (* K m) M)) (* 1/2 (/ (* K n) M))) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 (/.f64 m M) (/.f64 n M))) #s(literal -1 binary64))
(- (+ (* 1/2 (/ (* K m) M)) (* 1/2 (/ (* K n) M))) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 (/.f64 m M) (/.f64 n M))) #s(literal -1 binary64))
(* 1/2 (/ (* K m) M))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M))
(* m (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K n) (* M m)))) (/ 1 m)))
(.f64 m (fma.f64 #s(literal 1/2 binary64) (fma.f64 K (/.f64 n (.f64 M m)) (/.f64 K M)) (/.f64 #s(literal -1 binary64) m)))
(* m (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K n) (* M m)))) (/ 1 m)))
(.f64 m (fma.f64 #s(literal 1/2 binary64) (fma.f64 K (/.f64 n (.f64 M m)) (/.f64 K M)) (/.f64 #s(literal -1 binary64) m)))
(* m (- (+ (* 1/2 (/ K M)) (* 1/2 (/ (* K n) (* M m)))) (/ 1 m)))
(.f64 m (fma.f64 #s(literal 1/2 binary64) (fma.f64 K (/.f64 n (.f64 M m)) (/.f64 K M)) (/.f64 #s(literal -1 binary64) m)))
(* 1/2 (/ (* K m) M))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (/ (* K n) M)) 1) m)) (* -1/2 (/ K M)))))
(neg.f64 (.f64 m (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) K) M) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n K) M) #s(literal -1 binary64)) m))))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (/ (* K n) M)) 1) m)) (* -1/2 (/ K M)))))
(neg.f64 (.f64 m (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) K) M) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n K) M) #s(literal -1 binary64)) m))))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (/ (* K n) M)) 1) m)) (* -1/2 (/ K M)))))
(neg.f64 (.f64 m (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) K) M) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n K) M) #s(literal -1 binary64)) m))))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 n m) K) M) #s(literal -1 binary64))
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 n m) K) M) #s(literal -1 binary64))
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 n m) K) M) #s(literal -1 binary64))
(* 1/2 (/ (* K (+ m n)) M))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M)
(* K (- (* 1/2 (/ (+ m n) M)) (/ 1 K)))
(*.f64 K (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 n m) M) (/.f64 #s(literal -1 binary64) K)))
(* K (- (* 1/2 (/ (+ m n) M)) (/ 1 K)))
(*.f64 K (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 n m) M) (/.f64 #s(literal -1 binary64) K)))
(* K (- (* 1/2 (/ (+ m n) M)) (/ 1 K)))
(*.f64 K (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 n m) M) (/.f64 #s(literal -1 binary64) K)))
(* 1/2 (/ (* K (+ m n)) M))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M)
(* -1 (* K (+ (* -1/2 (/ (+ m n) M)) (/ 1 K))))
(neg.f64 (fma.f64 K (/.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) M) #s(literal 1 binary64)))
(* -1 (* K (+ (* -1/2 (/ (+ m n) M)) (/ 1 K))))
(neg.f64 (fma.f64 K (/.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) M) #s(literal 1 binary64)))
(* -1 (* K (+ (* -1/2 (/ (+ m n) M)) (/ 1 K))))
(neg.f64 (fma.f64 K (/.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) M) #s(literal 1 binary64)))
(* 1/2 (/ (* K (+ m n)) M))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M)
(/ (+ (* -1 M) (* 1/2 (* K (+ m n)))) M)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)) M)
(/ (+ (* -1 M) (* 1/2 (* K (+ m n)))) M)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)) M)
(/ (+ (* -1 M) (* 1/2 (* K (+ m n)))) M)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)) M)
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 n m) K) M) #s(literal -1 binary64))
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 n m) K) M) #s(literal -1 binary64))
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 n m) K) M) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 n m) K) M) #s(literal -1 binary64))
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 n m) K) M) #s(literal -1 binary64))
(- (* 1/2 (/ (* K (+ m n)) M)) 1)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 n m) K) M) #s(literal -1 binary64))

rewrite305.0ms (2.2%)

Memory

23.8MiB live, 503.5MiB allocated

Rules

4 348×	`lower-*.f32`
4 322×	`lower-*.f64`
4 230×	`lower-/.f32`
4 222×	`lower-/.f64`
3 010×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	480
0	119	462
1	352	462
2	2162	462
0	8556	462

Stop Event

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

Counts

28 → 615

Calls

Call 1

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

Outputs
(+.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (.f64 (+.f64 m n) #s(literal 1/2 binary64))) (.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (neg.f64 M)))
(+.f64 (.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (.f64 (neg.f64 M) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) #s(literal 1 binary64)))
(fma.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (.f64 (neg.f64 M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (.f64 (+.f64 m n) #s(literal 1/2 binary64)) (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (neg.f64 M)))
(/.f64 (.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (.f64 (fma.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)))) (fma.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))))))
(/.f64 (.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (neg.f64 M) M))) (.f64 (fma.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)))) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (neg.f64 M) M)) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (fma.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (neg.f64 M) M)) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (neg.f64 M) M))) (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (fma.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (neg.f64 M) M))) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))
(/.f64 (.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (fma.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (neg.f64 M) M)) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))))) (neg.f64 (.f64 (fma.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)))) (fma.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (neg.f64 M) M)))) (neg.f64 (.f64 (fma.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)))) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (neg.f64 M) M)) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))))) (neg.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (fma.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (neg.f64 M) M)) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (neg.f64 M) M)))) (neg.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))))) (neg.f64 (fma.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (neg.f64 M) M)))) (neg.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (neg.f64 (fma.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (neg.f64 M) M)) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (neg.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))
(pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))
(pow.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))
(.f64 (.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))))) #s(literal 2 binary64)))
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(fma.f64 (+.f64 m n) (/.f64 K (*.f64 M #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 K (*.f64 (+.f64 m n) (/.f64 #s(literal 1/2 binary64) M)) #s(literal -1 binary64))
(fma.f64 K (/.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) M) (.f64 (+.f64 m n) K)) #s(literal -1 binary64))
(fma.f64 (*.f64 (+.f64 m n) K) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) K) (/.f64 #s(literal 1 binary64) M) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) M) (*.f64 (+.f64 m n) K) #s(literal -1 binary64))
(fma.f64 (/.f64 K (*.f64 M #s(literal 2 binary64))) (+.f64 m n) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) M) (+.f64 m n)) K #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) K) M)))) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 M (.f64 M M))) (.f64 K (*.f64 K K))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 m n) (/.f64 K (.f64 M #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) K) M)))) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 M (.f64 M M))) (.f64 K (*.f64 K K))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 m n) (/.f64 K (.f64 M #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 M (.f64 M M))) (.f64 K (.f64 K K))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) K) M)))))
(/.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 M (.f64 M M))) (.f64 K (.f64 K K))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) K) M) (.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) K)) (.f64 (.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) K) #s(literal -1 binary64))) M)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M)) #s(literal -1 binary64)) (fma.f64 (+.f64 m n) (/.f64 K (.f64 M #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 M (.f64 M M))) (.f64 K (.f64 K K))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) K) M))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 M (.f64 M M))) (.f64 K (.f64 K K))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) K) M) (.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) K)) (.f64 (.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) K) #s(literal -1 binary64))) M))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 m n) (/.f64 K (.f64 M #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M))) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) K) M)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M)) (fma.f64 (+.f64 m n) (/.f64 K (.f64 M #s(literal 2 binary64))) #s(literal 1 binary64))) (.f64 (fma.f64 (+.f64 m n) (/.f64 K (.f64 M #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (+.f64 m n) (/.f64 K (.f64 M #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 m n) (/.f64 K (.f64 M #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 M (.f64 M M))) (.f64 K (.f64 K K))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) K) M)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 m n) (/.f64 K (.f64 M #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M)))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) K) M))))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) K) M)))) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 M (.f64 M M))) (.f64 K (*.f64 K K))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 m n) (/.f64 K (.f64 M #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M)) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 M (.f64 M M))) (.f64 K (.f64 K K))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) K) M))))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) (/.f64 K (*.f64 M #s(literal 2 binary64))) #s(literal 1 binary64))))

eval304.0ms (2.2%)

Memory: 19.5MiB live, 483.8MiB allocated
Compiler: Compiled 99 575 to 4 400 computations (95.6% saved)

prune340.0ms (2.5%)

Memory

-24.2MiB live, 437.0MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 910	13	1 923
Fresh	5	8	13
Picked	3	2	5
Done	0	0	0
Total	1 918	23	1 941

Accuracy

97.2%

Counts

1 941 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.9%	(.f64 (cos.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K) (neg.f64 (.f64 M M))) (fma.f64 (+.f64 m n) (.f64 K #s(literal 1/2 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)))))
	16.7%	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))) K) (fma.f64 n (-.f64 n m) (.f64 m m))) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	24.4%	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (*.f64 (+.f64 m n) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	47.3%	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (*.f64 (+.f64 m n) (-.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))))))
	18.0%	(.f64 (cos.f64 (-.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (+.f64 m n) K))) #s(literal -1 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)))))
	14.5%	(.f64 (cos.f64 (-.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 m n) K))) #s(literal -1 binary64))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	29.0%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M)) #s(literal -1 binary64)) M) (fma.f64 (+.f64 m n) (/.f64 K (.f64 M #s(literal 2 binary64))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))))
	63.1%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 M (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) M) (+.f64 m n)) K #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))))
	43.8%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 M (fma.f64 (.f64 (+.f64 n m) K) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 M (neg.f64 M)))))
	29.2%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 M (fma.f64 (.f64 (+.f64 n m) K) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	41.2%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 n K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
	33.4%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 n K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
✓	33.0%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 m K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
▶	50.7%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) #s(approx (* M (+ (* (* (+ n m) K) (/ 1/2 M)) -1)) (.f64 n (fma.f64 M (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M) #s(literal -1 binary64)) n) (.f64 #s(literal 1/2 binary64) K)))))) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))))
▶	53.0%	(.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 M (neg.f64 M)))))
✓	37.9%	(.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))))
▶	73.9%	(.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)))) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))))
	44.0%	(.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)))) (.f64 (*.f64 n n) #s(literal -1/4 binary64)))))
	39.4%	(.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)))) (.f64 (*.f64 m m) #s(literal -1/4 binary64)))))
	31.1%	(.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)))) (.f64 M (neg.f64 M)))))
	32.5%	(.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))))
▶	37.1%	(.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)) (/ 1 (exp (+ (* (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n))))))) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))) (exp.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l) (fabs.f64 (-.f64 n m))))))

Compiler

Compiled 1 268 to 765 computations (39.7% saved)

simplify405.0ms (3%)

Memory

-15.5MiB live, 255.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	256	(fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n))))))
cost-diff	896	(fma.f64 M (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M) #s(literal -1 binary64)) n) (.f64 #s(literal 1/2 binary64) K))
cost-diff	1216	(.f64 n (fma.f64 M (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M) #s(literal -1 binary64)) n) (*.f64 #s(literal 1/2 binary64) K)))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))
cost-diff	0	(cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))
cost-diff	0	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (/ 1 (exp (+ (* (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n))))))) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))) (exp.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l) (fabs.f64 (-.f64 n m))))))
cost-diff	384	(/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))) (exp.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l) (fabs.f64 (-.f64 n m)))))
cost-diff	0	(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 M (neg.f64 M))))
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 M (neg.f64 M)))))
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	#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))))
cost-diff	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)))) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))))
cost-diff	256	(fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n))))))

Rules

8 938×	`lower-fma.f32`
8 928×	`lower-fma.f64`
3 800×	`lower-*.f32`
3 774×	`lower-*.f64`
2 564×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	905
0	134	896
1	247	893
2	518	887
3	1521	833
4	5419	833
0	8469	812

Stop Event

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

Calls

Call 1

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

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

localize468.0ms (3.4%)

Memory

7.1MiB live, 402.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.376415062889797	(fma.f64 M (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M) #s(literal -1 binary64)) n) (.f64 #s(literal 1/2 binary64) K))
accuracy	4.7028223323365195	(/.f64 (*.f64 m K) M)
accuracy	9.171564357569281	(.f64 n (fma.f64 M (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M) #s(literal -1 binary64)) n) (*.f64 #s(literal 1/2 binary64) K)))
accuracy	37.09166071332853	(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) #s(approx (* M (+ (* (* (+ n m) K) (/ 1/2 M)) -1)) (.f64 n (fma.f64 M (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M) #s(literal -1 binary64)) n) (*.f64 #s(literal 1/2 binary64) K))))))
accuracy	0.0078125	(-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l) (fabs.f64 (-.f64 n m)))
accuracy	0.01171875	(*.f64 (+.f64 n m) (+.f64 n m))
accuracy	3.237955273742137	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (/ 1 (exp (+ (* (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n))))))) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))) (exp.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l) (fabs.f64 (-.f64 n m))))))
accuracy	36.87922302086981	(cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))
accuracy	0	(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 M (neg.f64 M))))
accuracy	0	(cos.f64 M)
accuracy	35.87656974791933	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
accuracy	36.6193626436995	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 M (neg.f64 M)))
accuracy	0	(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
accuracy	25.04906030869469	#s(approx (cos M) #s(literal 1 binary64))
accuracy	35.87656974791933	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))
accuracy	49.19447832317984	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n))))))
accuracy	0.01953125	(fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n))))
accuracy	26.832347064179764	#s(approx (cos M) (fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	35.87656974791933	#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))))

Samples

263.0ms	195×	1	valid
14.0ms	32×	0	exit
12.0ms	29×	0	valid

Compiler

Compiled 718 to 67 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 240.0ms

ival-sub: 68.0ms (28.4% of total)

ival-mult: 43.0ms (17.9% of total)

ival-add: 41.0ms (17.1% of total)

adjust: 28.0ms (11.7% of total)

ival-cos: 21.0ms (8.8% of total)

ival-div: 19.0ms (7.9% of total)

ival-exp: 8.0ms (3.3% of total)

ival-pow2: 4.0ms (1.7% of total)

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

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

exact: 1.0ms (0.4% of total)

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

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

series199.0ms (1.5%)

Memory

29.3MiB live, 185.3MiB allocated

Counts

25 → 1 068

Calls

Call 1

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

Outputs
#s(alt (/ 1 (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n))))) (taylor 0 m) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* m (- (/ M (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n))))) (* 1/2 (/ n (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))))) (/ 1 (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (taylor 0 m) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* m (- (+ (* -1 (* m (+ (* 1/4 (/ 1 (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (+ (* 1/2 (/ (pow (- (* 1/2 n) M) 2) (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (* (- (* 1/2 n) M) (- (/ M (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n))))) (* 1/2 (/ n (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))))))))) (/ M (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (* 1/2 (/ n (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))))) (/ 1 (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (taylor 0 m) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* m (- (+ (* m (- (* -1 (* m (+ (* -1 (* (+ (* 1/4 (/ 1 (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (+ (* 1/2 (/ (pow (- (* 1/2 n) M) 2) (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (* (- (* 1/2 n) M) (- (/ M (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n))))) (* 1/2 (/ n (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))))))) (- (* 1/2 n) M))) (+ (* 1/6 (/ (pow (- (* 1/2 n) M) 3) (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (+ (* 1/4 (/ (- (* 1/2 n) M) (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (* (+ 1/4 (* 1/2 (pow (- (* 1/2 n) M) 2))) (- (/ M (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n))))) (* 1/2 (/ n (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n))))))))))))) (+ (* 1/4 (/ 1 (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (+ (* 1/2 (/ (pow (- (* 1/2 n) M) 2) (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (* (- (* 1/2 n) M) (- (/ M (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n))))) (* 1/2 (/ n (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))))))))) (/ M (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (* 1/2 (/ n (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))))) (/ 1 (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (taylor 0 m) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (exp (- (+ l (pow (- (* 1/2 (+ m n)) M) 2)) (fabs (- m n))))) (taylor inf m) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* K m) M) (taylor inf M) (#s(alt (/.f64 (.f64 m K) M) (patch (/.f64 (.f64 m K) M) #<representation binary64>) () ())) ())
#s(alt (/ (* K m) M) (taylor inf M) (#s(alt (/.f64 (.f64 m K) M) (patch (/.f64 (.f64 m K) M) #<representation binary64>) () ())) ())
#s(alt (/ (* K m) M) (taylor inf M) (#s(alt (/.f64 (.f64 m K) M) (patch (/.f64 (.f64 m K) M) #<representation binary64>) () ())) ())
#s(alt (/ (* K m) M) (taylor -inf M) (#s(alt (/.f64 (.f64 m K) M) (patch (/.f64 (.f64 m K) M) #<representation binary64>) () ())) ())
#s(alt (/ (* K m) M) (taylor -inf M) (#s(alt (/.f64 (.f64 m K) M) (patch (/.f64 (.f64 m K) M) #<representation binary64>) () ())) ())
#s(alt (/ (* K m) M) (taylor -inf M) (#s(alt (/.f64 (.f64 m K) M) (patch (/.f64 (.f64 m K) M) #<representation binary64>) () ())) ())
#s(alt (/ (* K m) M) (taylor -inf M) (#s(alt (/.f64 (.f64 m K) M) (patch (/.f64 (.f64 m K) M) #<representation binary64>) () ())) ())

Calls

267 calls:

Time	Variable		Point	Expression
30.0ms	n	@	inf	(* n (+ (* M (/ (+ (* 1/2 (/ (* m K) M)) -1) n)) (* 1/2 K)))
2.0ms	n	@	0	(/ (cos (* 1/2 (* (+ n m) K))) (exp (- (+ (* 1/4 (* (+ n m) (+ n m))) l) (fabs (- n m)))))
2.0ms	m	@	0	(/ (cos (* 1/2 (* (+ n m) K))) (exp (- (+ (* 1/4 (* (+ n m) (+ n m))) l) (fabs (- n m)))))
1.0ms	n	@	0	(* n (+ (* M (/ (+ (* 1/2 (/ (* m K) M)) -1) n)) (* 1/2 K)))
1.0ms	M	@	0	(* n (+ (* M (/ (+ (* 1/2 (/ (* m K) M)) -1) n)) (* 1/2 K)))

simplify696.0ms (5.1%)

Memory

-0.1MiB live, 623.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 006×	`lower-fma.f64`
8 006×	`lower-fma.f32`
7 756×	`lower-*.f64`
7 756×	`lower-*.f32`
6 058×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1413	32656
1	4470	32456
0	9146	31511

Stop Event

1×	iter limit
1×	node limit

Counts

1 068 → 1 064

Calls

Call 1

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

Outputs
(/ 1 (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))
(exp.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m)))))
(+ (* m (- (/ M (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n))))) (* 1/2 (/ n (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))))) (/ 1 (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n))))))
(fma.f64 m (+.f64 (/.f64 M (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m))))) (/.f64 (*.f64 n #s(literal -1/2 binary64)) (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m)))))) (exp.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m))))))
(+ (* m (- (+ (* -1 (* m (+ (* 1/4 (/ 1 (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (+ (* 1/2 (/ (pow (- (* 1/2 n) M) 2) (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (* (- (* 1/2 n) M) (- (/ M (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n))))) (* 1/2 (/ n (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))))))))) (/ M (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (* 1/2 (/ n (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))))) (/ 1 (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n))))))
(fma.f64 m (fma.f64 m (neg.f64 (fma.f64 (exp.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m))))) #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (+.f64 (/.f64 M (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m))))) (/.f64 (.f64 n #s(literal -1/2 binary64)) (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)))) (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m)))))))) (+.f64 (/.f64 M (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m))))) (/.f64 (.f64 n #s(literal -1/2 binary64)) (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m))))))) (exp.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m))))))
(+ (* m (- (+ (* m (- (* -1 (* m (+ (* -1 (* (+ (* 1/4 (/ 1 (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (+ (* 1/2 (/ (pow (- (* 1/2 n) M) 2) (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (* (- (* 1/2 n) M) (- (/ M (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n))))) (* 1/2 (/ n (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))))))) (- (* 1/2 n) M))) (+ (* 1/6 (/ (pow (- (* 1/2 n) M) 3) (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (+ (* 1/4 (/ (- (* 1/2 n) M) (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (* (+ 1/4 (* 1/2 (pow (- (* 1/2 n) M) 2))) (- (/ M (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n))))) (* 1/2 (/ n (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n))))))))))))) (+ (* 1/4 (/ 1 (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (+ (* 1/2 (/ (pow (- (* 1/2 n) M) 2) (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (* (- (* 1/2 n) M) (- (/ M (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n))))) (* 1/2 (/ n (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))))))))) (/ M (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))) (* 1/2 (/ n (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n)))))))) (/ 1 (exp (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n))))))
(fma.f64 m (fma.f64 m (neg.f64 (fma.f64 m (fma.f64 (fma.f64 (exp.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m))))) #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (+.f64 (/.f64 M (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m))))) (/.f64 (.f64 n #s(literal -1/2 binary64)) (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)))) (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m))))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)))) (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m))))) (fma.f64 (+.f64 (/.f64 M (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m))))) (/.f64 (.f64 n #s(literal -1/2 binary64)) (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m)))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) #s(literal 1/4 binary64)) (/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 1/4 binary64)) (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m)))))))) (fma.f64 (exp.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m))))) #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (+.f64 (/.f64 M (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m))))) (/.f64 (.f64 n #s(literal -1/2 binary64)) (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)))) (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m))))))))) (+.f64 (/.f64 M (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m))))) (/.f64 (.f64 n #s(literal -1/2 binary64)) (exp.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m))))))) (exp.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l) (fabs.f64 (-.f64 n m))))))
(/ 1 (exp (- (+ l (pow (- (* 1/2 (+ m n)) M) 2)) (fabs (- m n)))))
(exp.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l) (fabs.f64 (-.f64 n m)))))
(/ 1 (exp (- (+ l (pow (- (* 1/2 (+ m n)) M) 2)) (fabs (- m n)))))
(exp.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l) (fabs.f64 (-.f64 n m)))))
(/ 1 (exp (- (+ l (pow (- (* 1/2 (+ m n)) M) 2)) (fabs (- m n)))))
(exp.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l) (fabs.f64 (-.f64 n m)))))
(/ 1 (exp (- (+ l (pow (- (* 1/2 (+ m n)) M) 2)) (fabs (- m n)))))
(exp.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l) (fabs.f64 (-.f64 n m)))))
(/ 1 (exp (- (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)) (fabs (neg (+ n (* -1 m)))))))
(exp.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l) (fabs.f64 (-.f64 n m)))))
(/ 1 (exp (- (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)) (fabs (neg (+ n (* -1 m)))))))
(exp.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l) (fabs.f64 (-.f64 n m)))))
(/ 1 (exp (- (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)) (fabs (neg (+ n (* -1 m)))))))
(exp.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l) (fabs.f64 (-.f64 n m)))))
(/ 1 (exp (- (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)) (fabs (neg (+ n (* -1 m)))))))
(exp.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l) (fabs.f64 (-.f64 n m)))))
(/ 1 (exp (- (+ l (pow (- (* 1/2 m) M) 2)) (fabs (- m n)))))
(exp.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) m) M) (-.f64 (.f64 #s(literal 1/2 binary64) m) M) l) (fabs.f64 (-.f64 n m)))))
(+ (* n (- (/ M (exp (- (+ l (pow (- (* 1/2 m) M) 2)) (fabs (- m n))))) (* 1/2 (/ m (exp (- (+ l (pow (- (* 1/2 m) M) 2)) (fabs (- m n)))))))) (/ 1 (exp (- (+ l (pow (- (* 1/2 m) M) 2)) (fabs (- m n))))))
(fma.f64 n (+.f64 (/.f64 M (exp.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) m) M) (-.f64 (.f64 #s(literal 1/2 binary64) m) M) l) (fabs.f64 (-.f64 n m))))) (/.f64 (.f64 m #s(literal -1/2 binary64)) (exp.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) m) M) (-.f64 (.f64 #s(literal 1/2 binary64) m) M) l) (fabs.f64 (-.f64 n m)))))) (exp.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) m) M) (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) l) (fabs.f64 (-.f64 n m))))))
(+ (* n (- (+ (* -1 (* n (+ (* 1/4 (/ 1 (exp (- (+ l (pow (- (* 1/2 m) M) 2)) (fabs (- m n)))))) (+ (* 1/2 (/ (pow (- (* 1/2 m) M) 2) (exp (- (+ l (pow (- (* 1/2 m) M) 2)) (fabs (- m n)))))) (* (- (* 1/2 m) M) (- (/ M (exp (- (+ l (pow (- (* 1/2 m) M) 2)) (fabs (- m n))))) (* 1/2 (/ m (exp (- (+ l (pow (- (* 1/2 m) M) 2)) (fabs (- m n)))))))))))) (/ M (exp (- (+ l (pow (- (* 1/2 m) M) 2)) (fabs (- m n)))))) (* 1/2 (/ m (exp (- (+ l (pow (- (* 1/2 m) M) 2)) (fabs (- m n)))))))) (/ 1 (exp (- (+ l (pow (- (* 1/2 m) M) 2)) (fabs (- m n))))))
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l
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l
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(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow M 2)))
(fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (- (* 1/24 (pow M 2)) 1/2)))
(fma.f64 (.f64 M M) (fma.f64 (.f64 M M) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (- (* (pow M 2) (+ 1/24 (* -1/720 (pow M 2)))) 1/2)))
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(cos M)
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(cos M)
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(cos M)
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(cos M)
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(cos M)
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(cos M)
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(cos M)
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l)))
(+ (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)))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
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(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) m) M) (-.f64 (.f64 #s(literal 1/2 binary64) m) M) l)))
(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m)))))
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(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* n (+ (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
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(exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
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(exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
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(exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
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(exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l)))
(+ (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* M (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ m n))))
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(+ (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* M (+ (* M (* (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))))) (+ m n)))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
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(exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
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(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow M 2)))
(fma.f64 (*.f64 M M) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (- (* 1/24 (pow M 2)) 1/2)))
(fma.f64 (.f64 M M) (fma.f64 (.f64 M M) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (- (* (pow M 2) (+ 1/24 (* -1/720 (pow M 2)))) 1/2)))
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(cos M)
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(cos M)
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(cos M)
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(cos M)
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(cos M)
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(cos M)
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(cos M)
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) l)))
(+ (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)))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
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(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) l)))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) m) M) (-.f64 (.f64 #s(literal 1/2 binary64) m) M) l)))
(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m)))))
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(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* n (+ (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
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(exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
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(exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
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(exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))
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(exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l)))
(+ (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* M (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ m n))))
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(+ (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* M (+ (* M (* (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))))) (+ m n)))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
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(exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2))))
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(exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))
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(fma.f64 n (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 K K) n) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 m K) (neg.f64 M)))) (.f64 #s(literal -1/2 binary64) (.f64 K (sin.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 m K) (neg.f64 M)))))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 m K) (neg.f64 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)))))))
(fma.f64 n (fma.f64 n (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 m K) (neg.f64 M)))) (.f64 #s(literal 1/48 binary64) (.f64 (.f64 (.f64 K (.f64 K K)) n) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 m K) (neg.f64 M)))))) (.f64 #s(literal -1/2 binary64) (.f64 K (sin.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 m K) (neg.f64 M)))))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 m K) (neg.f64 M))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (* 1/2 (* K (+ m n))))
(cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))
(+ (cos (* 1/2 (* K (+ m n)))) (* M (sin (* 1/2 (* K (+ m n))))))
(fma.f64 M (sin.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))) (cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))))
(+ (cos (* 1/2 (* K (+ m n)))) (* M (- (* -1/2 (* M (cos (* 1/2 (* K (+ m n)))))) (* -1 (sin (* 1/2 (* K (+ m n))))))))
(fma.f64 M (fma.f64 (.f64 #s(literal -1/2 binary64) M) (cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))) (sin.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
(+ (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))))))))
(fma.f64 M (fma.f64 M (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))) (.f64 (.f64 #s(literal -1/6 binary64) M) (sin.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))))) (sin.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)))) (cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K)) M))
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)
(/ (* K m) M)
(/.f64 (*.f64 m K) M)

rewrite620.0ms (4.5%)

Memory

-170.3MiB live, 558.9MiB allocated

Rules

7 406×	`lower-*.f32`
7 382×	`lower-*.f64`
3 942×	`lower-/.f32`
3 934×	`lower-/.f64`
3 756×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	515
0	132	482
1	477	482
2	3425	482
0	11016	481

Stop Event

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

Counts

25 → 333

Calls

Call 1

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

Outputs
(exp.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) l) (fabs.f64 (-.f64 m n)))))
(exp.f64 (.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) l) (fabs.f64 (-.f64 m n))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) l) (fabs.f64 (-.f64 m n))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) l) (fabs.f64 (-.f64 m n)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) l) (fabs.f64 (-.f64 m n)))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M)) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) l) (fabs.f64 (-.f64 m n))))))
(/.f64 (exp.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M)))) (exp.f64 (-.f64 l (fabs.f64 (-.f64 m n)))))
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) l))) (exp.f64 (neg.f64 (fabs.f64 (-.f64 m n)))))
(/.f64 (exp.f64 (/.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M)))) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M))) (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M)) l) (fabs.f64 (-.f64 m n))))))) (exp.f64 (/.f64 (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (-.f64 l (fabs.f64 (-.f64 m n))))) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M))) (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M)) l) (fabs.f64 (-.f64 m n))))))))
(/.f64 (exp.f64 (/.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M))) (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M)) l) (fabs.f64 (-.f64 m n))))) (exp.f64 (/.f64 (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (-.f64 l (fabs.f64 (-.f64 m n)))) (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M)) l) (fabs.f64 (-.f64 m n))))))
(pow.f64 (exp.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) l) (fabs.f64 (-.f64 m n)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 (exp.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) l) (fabs.f64 (-.f64 m n)))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) l) (fabs.f64 (-.f64 m n))) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 (exp.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) l) (fabs.f64 (-.f64 m n)))) (exp.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) l) (fabs.f64 (-.f64 m n))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) l) (fabs.f64 (-.f64 m n))) (-.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M)) l) (fabs.f64 (-.f64 m n)))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) l) (fabs.f64 (-.f64 m n))))
(pow.f64 (exp.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M)) (.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M)))) (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (-.f64 l (fabs.f64 (-.f64 m n))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M))) (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M)) l) (fabs.f64 (-.f64 m n)))))))
(.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) l) (fabs.f64 (-.f64 m n))))))
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(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 l l))) (fabs.f64 (+.f64 m n))) (.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (neg.f64 l)) (fabs.f64 (.f64 (+.f64 m n) (-.f64 m n))))) (.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (neg.f64 l)) (fabs.f64 (+.f64 m n))))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 l l))) (fabs.f64 (fma.f64 m (+.f64 m n) (.f64 n n)))) (.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (neg.f64 l)) (fabs.f64 (.f64 (fma.f64 m (+.f64 m n) (.f64 n n)) (-.f64 n m))))) (.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (neg.f64 l)) (fabs.f64 (fma.f64 m (+.f64 m n) (*.f64 n n)))))
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/64 binary64)) (.f64 l (.f64 l l)))) (fabs.f64 (fma.f64 m m (.f64 n (+.f64 m n))))) (.f64 (neg.f64 (fma.f64 l (-.f64 l (.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n)))))) (fabs.f64 (.f64 (fma.f64 m (+.f64 m n) (.f64 n n)) (-.f64 n m))))) (.f64 (neg.f64 (fma.f64 l (-.f64 l (.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n)))))) (fabs.f64 (fma.f64 m m (.f64 n (+.f64 m n))))))
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/64 binary64)) (.f64 l (.f64 l l)))) (fabs.f64 (+.f64 m n))) (.f64 (neg.f64 (fma.f64 l (-.f64 l (.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n)))))) (fabs.f64 (.f64 (+.f64 m n) (-.f64 m n))))) (.f64 (neg.f64 (fma.f64 l (-.f64 l (.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (*.f64 (+.f64 m n) (+.f64 m n)))))) (fabs.f64 (+.f64 m n))))
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/64 binary64)) (.f64 l (.f64 l l)))) (fabs.f64 (fma.f64 m (+.f64 m n) (.f64 n n)))) (.f64 (neg.f64 (fma.f64 l (-.f64 l (.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n)))))) (fabs.f64 (.f64 (fma.f64 m (+.f64 m n) (.f64 n n)) (-.f64 n m))))) (.f64 (neg.f64 (fma.f64 l (-.f64 l (.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n)))))) (fabs.f64 (fma.f64 m (+.f64 m n) (.f64 n n)))))
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 l l)))) (fabs.f64 (fma.f64 m m (.f64 n (+.f64 m n))))) (.f64 (neg.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (neg.f64 l))) (fabs.f64 (.f64 (fma.f64 m (+.f64 m n) (.f64 n n)) (-.f64 n m))))) (.f64 (neg.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (neg.f64 l))) (fabs.f64 (fma.f64 m m (*.f64 n (+.f64 m n))))))
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 l l)))) (fabs.f64 (+.f64 m n))) (.f64 (neg.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (neg.f64 l))) (fabs.f64 (.f64 (+.f64 m n) (-.f64 m n))))) (.f64 (neg.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (neg.f64 l))) (fabs.f64 (+.f64 m n))))
(/.f64 (-.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 l l)))) (fabs.f64 (fma.f64 m (+.f64 m n) (.f64 n n)))) (.f64 (neg.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (neg.f64 l))) (fabs.f64 (.f64 (fma.f64 m (+.f64 m n) (.f64 n n)) (-.f64 n m))))) (.f64 (neg.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (neg.f64 l))) (fabs.f64 (fma.f64 m (+.f64 m n) (*.f64 n n)))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 l l) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n))))) (fabs.f64 (fma.f64 m m (.f64 n (+.f64 m n))))) (.f64 (-.f64 l (.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)))) (fabs.f64 (.f64 (fma.f64 m (+.f64 m n) (.f64 n n)) (-.f64 n m))))) (.f64 (-.f64 l (.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)))) (fabs.f64 (fma.f64 m m (.f64 n (+.f64 m n))))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 l l) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n))))) (fabs.f64 (+.f64 m n))) (.f64 (-.f64 l (.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)))) (fabs.f64 (.f64 (+.f64 m n) (-.f64 m n))))) (.f64 (-.f64 l (.f64 (+.f64 m n) (*.f64 (+.f64 m n) #s(literal 1/4 binary64)))) (fabs.f64 (+.f64 m n))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 l l) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n))))) (fabs.f64 (fma.f64 m (+.f64 m n) (.f64 n n)))) (.f64 (-.f64 l (.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)))) (fabs.f64 (.f64 (fma.f64 m (+.f64 m n) (.f64 n n)) (-.f64 n m))))) (.f64 (-.f64 l (.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)))) (fabs.f64 (fma.f64 m (+.f64 m n) (.f64 n n)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l))) (fma.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (fabs.f64 (-.f64 m n))))))) (.f64 (fma.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (fabs.f64 (-.f64 m n)))))) (.f64 (fabs.f64 (-.f64 m n)) (.f64 (-.f64 m n) (-.f64 m n))))) (.f64 (fma.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (fabs.f64 (-.f64 m n)))))) (fma.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (fabs.f64 (-.f64 m n))))))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l)) (+.f64 l (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (fabs.f64 (-.f64 m n))))) (.f64 (+.f64 l (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (fabs.f64 (-.f64 m n)))) (.f64 (-.f64 m n) (-.f64 m n)))) (.f64 (+.f64 l (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (fabs.f64 (-.f64 m n)))) (+.f64 l (fma.f64 (+.f64 m n) (*.f64 (+.f64 m n) #s(literal 1/4 binary64)) (fabs.f64 (-.f64 m n))))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (fabs.f64 (-.f64 m n)))))) (fma.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l)) (neg.f64 (.f64 (fabs.f64 (-.f64 m n)) (.f64 (-.f64 m n) (-.f64 m n)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 l (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (fabs.f64 (-.f64 m n)))) (fma.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (neg.f64 (.f64 (-.f64 m n) (-.f64 m n))))) #s(literal -1 binary64))
(.f64 (fma.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l)) (neg.f64 (.f64 (fabs.f64 (-.f64 m n)) (.f64 (-.f64 m n) (-.f64 m n))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (fma.f64 (+.f64 m n) (*.f64 (+.f64 m n) #s(literal 1/4 binary64)) (fabs.f64 (-.f64 m n))))))))
(.f64 (fma.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) l) (neg.f64 (.f64 (-.f64 m n) (-.f64 m n)))) (/.f64 #s(literal 1 binary64) (+.f64 l (fma.f64 (+.f64 m n) (*.f64 (+.f64 m n) #s(literal 1/4 binary64)) (fabs.f64 (-.f64 m n))))))
(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) #s(approx (* M (+ (* (* (+ n m) K) (/ 1/2 M)) -1)) (.f64 n (fma.f64 M (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M) #s(literal -1 binary64)) n) (*.f64 #s(literal 1/2 binary64) K))))))
(exp.f64 (.f64 (log.f64 (/.f64 M (.f64 m K))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 m K) (neg.f64 M)))
(neg.f64 (/.f64 (*.f64 m (neg.f64 K)) M))
(/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 m K)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 M (*.f64 m K)) #s(literal 1 binary64)))
(/.f64 (*.f64 m K) M)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 M (*.f64 m K))))
(/.f64 (*.f64 m (neg.f64 K)) (neg.f64 M))
(/.f64 (neg.f64 (*.f64 m (neg.f64 K))) (neg.f64 (neg.f64 M)))
(/.f64 (.f64 (.f64 m K) #s(literal 1 binary64)) M)
(/.f64 (/.f64 (*.f64 m (neg.f64 K)) #s(literal -1 binary64)) M)
(pow.f64 (/.f64 M (*.f64 m K)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 M (*.f64 m K)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 m K) M))
(*.f64 m (/.f64 K M))
(.f64 K (.f64 m (/.f64 #s(literal 1 binary64) M)))
(*.f64 K (/.f64 m M))
(.f64 (.f64 m K) (/.f64 #s(literal 1 binary64) M))
(.f64 (.f64 m (neg.f64 K)) (/.f64 #s(literal 1 binary64) (neg.f64 M)))
(.f64 (/.f64 #s(literal 1 binary64) M) (.f64 m K))
(.f64 (/.f64 #s(literal 1 binary64) M) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 m K)) #s(literal -1 binary64)))
(*.f64 (/.f64 K M) m)

eval273.0ms (2%)

Memory: 12.2MiB live, 486.0MiB allocated
Compiler: Compiled 79 146 to 3 127 computations (96% saved)

prune268.0ms (2%)

Memory

28.4MiB live, 498.9MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 554	9	1 563
Fresh	4	12	16
Picked	4	1	5
Done	1	1	2
Total	1 563	23	1 586

Accuracy

97.2%

Counts

1 586 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.7%	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))) K) (fma.f64 n (-.f64 n m) (.f64 m m))) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	24.4%	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (*.f64 (+.f64 m n) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	47.3%	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (*.f64 (+.f64 m n) (-.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))))))
	18.0%	(.f64 (cos.f64 (-.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (+.f64 m n) K))) #s(literal -1 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)))))
	14.5%	(.f64 (cos.f64 (-.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 m n) K))) #s(literal -1 binary64))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	29.0%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 K K)) (.f64 M M)) #s(literal -1 binary64)) M) (fma.f64 (+.f64 m n) (/.f64 K (.f64 M #s(literal 2 binary64))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))))
	63.1%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 M (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) M) (+.f64 m n)) K #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n)))))))
	43.8%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 M (fma.f64 (.f64 (+.f64 n m) K) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 M (neg.f64 M)))))
	29.2%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 M (fma.f64 (.f64 (+.f64 n m) K) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	33.4%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 n K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
✓	33.0%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 m K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	28.8%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) #s(approx (* M (+ (* (* (+ n m) K) (/ 1/2 M)) -1)) (.f64 n (fma.f64 M (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M) #s(literal -1 binary64)) n) (.f64 #s(literal 1/2 binary64) K)))))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(approx (+ ( (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n)))) (*.f64 M M)))))
	44.0%	(.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)))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(approx (+ ( (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n)))) (.f64 #s(literal 1/4 binary64) (.f64 n n))))))
	31.1%	(.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)))) (.f64 M (neg.f64 M)))))
	32.5%	(.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))))
	52.9%	(.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)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
	54.0%	(.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)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
	52.9%	(.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)))) (*.f64 M (neg.f64 M)))))
✓	37.1%	(.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))))
	31.6%	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (/ 1 (exp (+ (* (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n))))))) (/.f64 (cos.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 K (+.f64 m n)))) #s(literal -1 binary64)))) (exp.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l) (fabs.f64 (-.f64 n m))))))
	31.1%	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (/ 1 (exp (+ (* (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n))))))) (/.f64 #s(approx (cos (* 1/2 (* (+ n m) K))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64))) (exp.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) l) (fabs.f64 (-.f64 n m))))))
	86.5%	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (/ 1 (exp (+ (* (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n))))))) (/.f64 #s(approx (cos (* 1/2 (* (+ n m) K))) #s(literal 1 binary64)) (exp.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l) (fabs.f64 (-.f64 n m))))))
	51.3%	#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (/ 1 (exp (+ (* (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n))))))) #s(approx (/ (cos (* 1/2 (* (+ n m) K))) (exp (- (+ (* 1/4 (* (+ n m) (+ n m))) l) (fabs (- n m))))) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 m K))) (exp.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 m m) l) (fabs.f64 (-.f64 n m)))))))

Compiler

Compiled 1 936 to 616 computations (68.2% saved)

regimes127.0ms (0.9%)

Memory

-44.7MiB live, 166.6MiB allocated

Counts

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

Calls

6 calls:

36.0ms	(.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))))))
20.0ms	M
17.0ms	m
17.0ms	l
15.0ms	n

Results

Accuracy	Segments	Branch
95.3%	1	`K`
95.3%	1	`m`
95.3%	1	`n`
95.3%	1	`M`
95.3%	1	`l`
95.3%	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 64 to 46 computations (28.1% saved)

regimes83.0ms (0.6%)

Memory

18.4MiB live, 135.5MiB allocated

Counts

40 → 2

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

Outputs

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

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

Calls

6 calls:

16.0ms	n
16.0ms	(.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))))))
14.0ms	l
12.0ms	M
12.0ms	K

Results

Accuracy	Segments	Branch
86.5%	1	`l`
91.1%	3	`m`
90.8%	3	`n`
95.7%	3	`M`
95.0%	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))))))`
91.5%	3	`K`

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes14.0ms (0.1%)

Memory

-9.0MiB live, 27.9MiB allocated

Counts

38 → 2

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

Outputs

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

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

Calls

1 calls:

12.0ms

(*.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))))))

Results

Accuracy	Segments	Branch
95.0%	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 34 to 21 computations (38.2% saved)

regimes27.0ms (0.2%)

Memory

9.8MiB live, 46.1MiB allocated

Counts

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

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 M (neg.f64 M)))))

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

Calls

2 calls:

15.0ms

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))))))

Results

Accuracy	Segments	Branch
95.7%	3	`M`
86.5%	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 40 to 26 computations (35% saved)

regimes11.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

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

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 M (neg.f64 M)))))

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

(*.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 M (neg.f64 M)))))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
95.7%	3	`M`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes10.0ms (0.1%)

Memory

-35.2MiB live, 11.1MiB allocated

Counts

11 → 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 M (neg.f64 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)))))
(.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) (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)))) (.f64 M (neg.f64 M)))))
(.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)))) (.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)))) (.f64 (*.f64 n n) #s(literal -1/4 binary64)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (/ 1 (exp (+ (* (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n))))))) (/.f64 #s(approx (cos (* 1/2 (* (+ n m) K))) #s(literal 1 binary64)) (exp.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l) (fabs.f64 (-.f64 n m))))))
(.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)))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(approx (+ ( (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n)))) (.f64 #s(literal 1/4 binary64) (.f64 n n))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (/ 1 (exp (+ (* (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n))))))) (/.f64 #s(approx (cos (* 1/2 (* (+ n m) K))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64))) (exp.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) l) (fabs.f64 (-.f64 n 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 M (neg.f64 M)))))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
94.5%	3	`M`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes24.0ms (0.2%)

Memory

8.3MiB live, 44.9MiB allocated

Counts

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

Calls

6 calls:

7.0ms	l
3.0ms	M
3.0ms	n
3.0ms	m
3.0ms	K

Results

Accuracy	Segments	Branch
66.9%	4	`(.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))))))`
67.6%	3	`l`
78.6%	3	`n`
81.3%	4	`m`
60.8%	4	`K`
80.1%	5	`M`

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes3.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

4 → 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 M (neg.f64 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)))))

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)))) (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 (*.f64 n n) #s(literal -1/4 binary64)))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.0%	3	`m`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes6.0ms (0%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

3 → 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 M (neg.f64 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)))) (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 M (neg.f64 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

3 calls:

2.0ms	m
2.0ms	n
2.0ms	M

Results

Accuracy	Segments	Branch
72.6%	3	`M`
60.1%	3	`n`
74.8%	4	`m`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes7.0ms (0%)

Memory

-27.0MiB live, 9.6MiB 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 M (neg.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 M (neg.f64 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 M (neg.f64 M)))))

Calls

2 calls:

2.0ms	m
2.0ms	M

Results

Accuracy	Segments	Branch
69.8%	3	`M`
56.7%	3	`m`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes8.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB 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:

1.0ms	M
1.0ms	l
1.0ms	K
1.0ms	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))))))

Results

Accuracy	Segments	Branch
37.1%	1	`m`
37.1%	1	`K`
37.1%	1	`n`
37.1%	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))))))`
37.1%	1	`l`
37.1%	1	`M`

Compiler

Compiled 64 to 46 computations (28.1% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.999999999999486	0.9999999999999999

Compiler

Compiled 37 to 29 computations (21.6% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999999	1.0

Compiler

Compiled 37 to 29 computations (21.6% saved)

bsearch45.0ms (0.3%)

Memory

-7.6MiB live, 68.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
38.0ms	1.9254324637115075e+65	4.1415763561544655e+76
3.0ms	-1.823805765326952e+158	-2.260155493168909e+149

Samples

21.0ms	160×	0	valid
5.0ms	16×	1	valid

Compiler

Compiled 576 to 392 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-add: 4.0ms (19.9% of total)

ival-sub: 4.0ms (19.9% of total)

ival-mult: 3.0ms (14.9% of total)

ival-div: 2.0ms (10% of total)

ival-pow2: 2.0ms (10% of total)

adjust: 1.0ms (5% of total)

ival-exp: 1.0ms (5% of total)

ival-neg: 1.0ms (5% of total)

ival-cos: 1.0ms (5% of total)

ival-fabs: 1.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	1.9254324637115075e+65	4.1415763561544655e+76
0.0ms	-1.823805765326952e+158	-2.260155493168909e+149

Compiler

Compiled 642 to 381 computations (40.7% saved)

bsearch64.0ms (0.5%)

Memory

8.5MiB live, 114.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	1.2657418015916274e-5	235.45042586777484
23.0ms	-8.27492317406317e+19	-338916045812014140.0

Samples

34.0ms	229×	0	valid
11.0ms	27×	1	valid

Compiler

Compiled 709 to 461 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-sub: 9.0ms (24.6% of total)

ival-div: 9.0ms (24.6% of total)

ival-mult: 4.0ms (10.9% of total)

ival-cos: 4.0ms (10.9% of total)

ival-pow2: 3.0ms (8.2% of total)

ival-add: 2.0ms (5.5% of total)

ival-exp: 2.0ms (5.5% of total)

adjust: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% of total)

ival-fabs: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch85.0ms (0.6%)

Memory

6.0MiB live, 97.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
33.0ms	-7.364574328160088e-135	-2.1112733150729024e-138
30.0ms	-2.4544235037606148e-26	-2.7172722684043818e-27
15.0ms	-5699922009857581000.0	-614598593722444800.0

Samples

57.0ms	291×	0	valid
8.0ms	29×	1	valid

Compiler

Compiled 733 to 511 computations (30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-cos: 15.0ms (34.7% of total)

ival-sub: 7.0ms (16.2% of total)

ival-div: 4.0ms (9.2% of total)

ival-mult: 4.0ms (9.2% of total)

ival-pow2: 3.0ms (6.9% of total)

ival-add: 2.0ms (4.6% of total)

ival-exp: 2.0ms (4.6% of total)

adjust: 1.0ms (2.3% of total)

ival-neg: 1.0ms (2.3% of total)

ival-fabs: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch60.0ms (0.4%)

Memory

-1.5MiB live, 74.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-7.364574328160088e-135	-2.1112733150729024e-138
56.0ms	-7.762687370069269e-10	-3.422879056888144e-13

Samples

37.0ms	17×	1	valid
13.0ms	111×	0	valid

Compiler

Compiled 533 to 381 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

adjust: 33.0ms (71.4% of total)

ival-sub: 3.0ms (6.5% of total)

ival-div: 3.0ms (6.5% of total)

ival-mult: 2.0ms (4.3% of total)

ival-add: 1.0ms (2.2% of total)

ival-exp: 1.0ms (2.2% of total)

ival-cos: 1.0ms (2.2% of total)

ival-fabs: 1.0ms (2.2% of total)

ival-pow2: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch60.0ms (0.4%)

Memory

-18.9MiB live, 143.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
31.0ms	3.163559048180832e-7	1122543513496.2112
21.0ms	-1.7613138261469362e-97	-2.1444940071351523e-99
1.0ms	-7.762687370069269e-10	-3.422879056888144e-13

Samples

31.0ms	232×	0	valid
11.0ms	40×	1	valid

Compiler

Compiled 825 to 582 computations (29.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sub: 7.0ms (23% of total)

ival-div: 4.0ms (13.1% of total)

ival-mult: 4.0ms (13.1% of total)

ival-pow2: 3.0ms (9.9% of total)

ival-cos: 3.0ms (9.9% of total)

ival-add: 3.0ms (9.9% of total)

adjust: 2.0ms (6.6% of total)

ival-exp: 2.0ms (6.6% of total)

ival-neg: 1.0ms (3.3% of total)

ival-fabs: 1.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch55.0ms (0.4%)

Memory

14.8MiB live, 91.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	5.262179719283877e-32	1.2372797562312775e-26
21.0ms	-8.27492317406317e+19	-338916045812014140.0

Samples

28.0ms	213×	0	valid
8.0ms	27×	1	valid

Compiler

Compiled 517 to 365 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sub: 5.0ms (20.5% of total)

ival-div: 3.0ms (12.3% of total)

ival-mult: 3.0ms (12.3% of total)

ival-pow2: 3.0ms (12.3% of total)

ival-cos: 3.0ms (12.3% of total)

ival-exp: 2.0ms (8.2% of total)

ival-add: 1.0ms (4.1% of total)

adjust: 1.0ms (4.1% of total)

ival-neg: 1.0ms (4.1% of total)

ival-fabs: 1.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

simplify71.0ms (0.5%)

Memory

1.0MiB live, 37.7MiB allocated

Algorithm

1×	egg-herbie

Rules

714×	`unsub-neg_binary64`
434×	`neg-mul-1_binary64`
394×	`distribute-lft-neg-in_binary64`
270×	`cancel-sign-sub_binary64`
228×	`neg-sub0_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	1360
1	224	1360
2	267	1360
3	308	1354
4	341	1354
5	361	1354
6	430	1354
7	736	1354
8	1074	1354
9	1112	1354
10	1249	1354
11	1412	1354
12	1598	1354
13	1767	1354
14	1900	1354
15	1977	1354
16	2012	1354
17	2032	1354

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) 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))))))
(if (<=.f64 (.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)))))) #s(literal 1125899906842061/1125899906842624 binary64)) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 #s(approx (pow (- (/ (+ m n) 2) M) 2) (.f64 m (.f64 m (fma.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) m) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) n) M) m) #s(literal 1/4 binary64)))))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (/ 1 (exp (+ (* (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n))))))) (/.f64 #s(approx (cos (* 1/2 (* (+ n m) K))) #s(literal 1 binary64)) (exp.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l) (fabs.f64 (-.f64 n m)))))))
(if (<=.f64 (.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)))))) #s(literal 9007199254740991/9007199254740992 binary64)) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 #s(approx (pow (- (/ (+ m n) 2) M) 2) (.f64 M (fma.f64 M (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (+.f64 n m) (/.f64 (+.f64 n m) M)) (+.f64 n m)) (neg.f64 M)) M)))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (/ 1 (exp (+ (* (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n))))))) (/.f64 #s(approx (cos (* 1/2 (* (+ n m) K))) #s(literal 1 binary64)) (exp.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l) (fabs.f64 (-.f64 n m)))))))
(if (<=.f64 M #s(literal -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776 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 M (neg.f64 M))))) (if (<=.f64 M #s(literal 1520000000000000024428033011434661323693295582245399089738288594046418944 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 (-.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 (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 M (neg.f64 M)))))))
(if (<=.f64 M #s(literal -99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776 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 M (neg.f64 M))))) (if (<=.f64 M #s(literal 1520000000000000024428033011434661323693295582245399089738288594046418944 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)))) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 l (fabs.f64 (-.f64 m n))))))) (.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 M (neg.f64 M)))))))
(if (<=.f64 M #s(literal -7200000000000000000 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 M (neg.f64 M))))) (if (<=.f64 M #s(literal 27 binary64)) #s(approx ( (cos (- (/ (* K (+ m n)) 2) M)) (/ 1 (exp (+ (* (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n))))))) (/.f64 #s(approx (cos (* 1/2 (* (+ n m) K))) #s(literal 1 binary64)) (exp.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) l) (fabs.f64 (-.f64 n 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 M (neg.f64 M)))))))
(if (<=.f64 m #s(literal -620000000000000000 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 -3902630409742859/1393796574908163946345982392040522594123776 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 M (neg.f64 M))))) (if (<=.f64 m #s(literal -5892103094213055/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 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 (.f64 n n) #s(literal -1/4 binary64))))))))
(if (<=.f64 m #s(literal -7350268983256945/9671406556917033397649408 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 -5892103094213055/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 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 (.f64 n n) #s(literal -1/4 binary64)))))))
(if (<=.f64 m #s(literal -7350268983256945/9671406556917033397649408 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 -6733741293329135/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 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 55 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 M (neg.f64 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 -350000000000000000 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 M (neg.f64 M))))) (if (<=.f64 M #s(literal 1062769888367475/87112285931760246646623899502532662132736 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 M (neg.f64 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
(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) 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)) (cos.f64 M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))))
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(if (<=.f64 M #s(literal -7200000000000000000 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 M (neg.f64 M))))) (if (<=.f64 M #s(literal 27 binary64)) #s(approx ( (cos (- (/ (* K (+ m n)) 2) M)) (/ 1 (exp (+ (* (- (* (+ m n) 1/2) M) (- (* (+ m n) 1/2) M)) (- l (fabs (- m n))))))) (/.f64 #s(approx (cos (* 1/2 (* (+ n m) K))) #s(literal 1 binary64)) (exp.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) l) (fabs.f64 (-.f64 m n)))))) (.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 M (neg.f64 M)))))))
(if (<=.f64 m #s(literal -620000000000000000 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 -3902630409742859/1393796574908163946345982392040522594123776 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 M (neg.f64 M))))) (if (<=.f64 m #s(literal -5892103094213055/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 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 (.f64 n n) #s(literal -1/4 binary64))))))))
(if (<=.f64 m #s(literal -620000000000000000 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 #s(literal -1/4 binary64) (.f64 m m))))) (if (<=.f64 m #s(literal -3902630409742859/1393796574908163946345982392040522594123776 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 M (neg.f64 M))))) (if (<=.f64 m #s(literal -5892103094213055/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 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 #s(literal -1/4 binary64) (.f64 n n))))))))
(if (<=.f64 m #s(literal -7350268983256945/9671406556917033397649408 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 -5892103094213055/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 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 (.f64 n n) #s(literal -1/4 binary64)))))))
(if (<=.f64 m #s(literal -7350268983256945/9671406556917033397649408 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 #s(literal -1/4 binary64) (.f64 m m))))) (if (<=.f64 m #s(literal -5892103094213055/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 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 #s(literal -1/4 binary64) (.f64 n n)))))))
(if (<=.f64 m #s(literal -7350268983256945/9671406556917033397649408 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 -6733741293329135/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 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 55 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 M (neg.f64 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 -7350268983256945/9671406556917033397649408 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 #s(literal -1/4 binary64) (.f64 m m))))) (if (<=.f64 m #s(literal -6733741293329135/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 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 55 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 M (neg.f64 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 #s(literal -1/4 binary64) (.f64 m m))))))))
(if (<=.f64 M #s(literal -350000000000000000 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 M (neg.f64 M))))) (if (<=.f64 M #s(literal 1062769888367475/87112285931760246646623899502532662132736 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 M (neg.f64 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))))

soundness1.4s (10.4%)

Memory

-1.5MiB live, 1 114.7MiB allocated

Rules

11 396×	`lower-fma.f64`
11 396×	`lower-fma.f32`
9 628×	`lower-fma.f64`
9 628×	`lower-fma.f32`
8 006×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	444
0	115	444
1	367	444
2	2656	444
0	9251	444
0	72	480
0	119	462
1	352	462
2	2162	462
0	8556	462
0	1020	28461
1	3354	27469
0	9139	26579
0	1152	31987
1	3653	31142
0	8295	30276
0	419	3518
1	1279	3459
2	3929	3419
0	8262	3277
0	1413	32656
1	4470	32456
0	9146	31511

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

Compiler

Compiled 2 022 to 1 085 computations (46.3% saved)

preprocess144.0ms (1.1%)

Memory: 2.1MiB live, 119.1MiB allocated
Remove: (sort m n)
Compiler: Compiled 1 436 to 408 computations (71.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.2s (15.8%)

explain445.0ms (3.3%)

preprocess238.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify219.0ms (1.6%)

localize112.0ms (0.8%)

series30.0ms (0.2%)

simplify259.0ms (1.9%)

rewrite274.0ms (2%)

eval116.0ms (0.9%)

prune101.0ms (0.7%)

simplify194.0ms (1.4%)

localize380.0ms (2.8%)

series188.0ms (1.4%)

simplify542.0ms (4%)

rewrite461.0ms (3.4%)

eval319.0ms (2.3%)

prune349.0ms (2.6%)

simplify236.0ms (1.7%)

localize317.0ms (2.3%)

series107.0ms (0.8%)

simplify396.0ms (2.9%)

rewrite305.0ms (2.2%)

eval304.0ms (2.2%)

prune340.0ms (2.5%)

simplify405.0ms (3%)

localize468.0ms (3.4%)

series199.0ms (1.5%)

simplify696.0ms (5.1%)

rewrite620.0ms (4.5%)

eval273.0ms (2%)

prune268.0ms (2%)

regimes127.0ms (0.9%)

regimes83.0ms (0.6%)

regimes14.0ms (0.1%)

regimes27.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes24.0ms (0.2%)

regimes3.0ms (0%)

regimes6.0ms (0%)

regimes7.0ms (0%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch45.0ms (0.3%)

bsearch2.0ms (0%)

bsearch64.0ms (0.5%)

bsearch85.0ms (0.6%)

bsearch60.0ms (0.4%)

bsearch60.0ms (0.4%)

bsearch55.0ms (0.4%)

simplify71.0ms (0.5%)

soundness1.4s (10.4%)

preprocess144.0ms (1.1%)

end0.0ms (0%)

Profiling