Metrics for Maksimov and Kolovsky, Equation (32)

analyze1.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample1.7s (11.4%)

Memory

2.9MiB live, 2 362.5MiB allocated

Samples

1.1s	7 840×	0	valid
150.0ms	416×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 915.0ms

ival-sub: 225.0ms (24.6% of total)

ival-div: 125.0ms (13.7% of total)

ival-mult: 124.0ms (13.6% of total)

ival-pow2: 95.0ms (10.4% of total)

ival-cos: 76.0ms (8.3% of total)

ival-add: 70.0ms (7.7% of total)

ival-exp: 61.0ms (6.7% of total)

ival-fabs: 50.0ms (5.5% of total)

ival-neg: 39.0ms (4.3% of total)

adjust: 35.0ms (3.8% of total)

ival-true: 6.0ms (0.7% of total)

exact: 5.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess425.0ms (2.8%)

Memory

10.3MiB live, 373.1MiB 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)

explain693.0ms (4.6%)

Memory

-31.2MiB live, 530.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
183	29	(-2.169351827501117e-300 -127437865351020180.0 1.3228229079594546e-281 -9.182653580132816e+299 182.49837901436382)	-	`(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))`
1	1	(-2.31721166041122e+303 -4.857440218627439e-132 7.91109331287635e-185 4.7143392593676876e-192 -635.85651927007)	-	`(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 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	-	-	`(.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	153	0
`cos.f64`	`(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))`	oflow-rescue	59	0
↳	`(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))`	overflow	59
↳	`(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)`	overflow	59
↳	`(*.f64 K (+.f64 m n))`	overflow	59
`exp.f64`	`(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)))))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	66	0
-	146	44

Precision

0.3113207547169811

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	66	0	0
-	146	0	44

Precision?

0.3113207547169811

Recall?

1.0

Freqs

test

number	freq
0	44
1	210
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

204.0ms	418×	1	valid
23.0ms	94×	0	valid

Compiler

Compiled 368 to 88 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-sub: 45.0ms (31.3% of total)

ival-cos: 29.0ms (20.2% of total)

adjust: 19.0ms (13.2% of total)

ival-div: 12.0ms (8.3% of total)

ival-mult: 11.0ms (7.6% of total)

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

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

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

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

ival-neg: 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)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.6%	(.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

▶

74.6%

(*.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)

simplify539.0ms (3.6%)

Memory

25.6MiB live, 366.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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)

localize171.0ms (1.1%)

Memory

10.4MiB live, 265.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 K (+.f64 m n))
✓	accuracy	100.0%	(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	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
✓	accuracy	35.3%	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))

Samples

126.0ms	209×	1	valid
17.0ms	47×	0	valid

Compiler

Compiled 150 to 23 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-cos: 47.0ms (42.8% of total)

ival-mult: 17.0ms (15.5% of total)

ival-sub: 10.0ms (9.1% of total)

adjust: 9.0ms (8.2% of total)

ival-add: 9.0ms (8.2% of total)

ival-div: 6.0ms (5.5% of total)

ival-pow2: 6.0ms (5.5% of total)

ival-exp: 2.0ms (1.8% of total)

ival-neg: 2.0ms (1.8% of total)

ival-fabs: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (0.3%)

Memory

-24.2MiB live, 48.9MiB 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 (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 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<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>) () ())) ())
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#s(alt (exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 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>) () ())) ())
#s(alt (exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 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>) () ())) ())
#s(alt (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))) (taylor 0 l) (#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)) (pow (- (* 1/2 (+ m n)) M) 2))) (* -1 (* l (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))))) (taylor 0 l) (#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)) (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)))))))) (taylor 0 l) (#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)) (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))))))))) (taylor 0 l) (#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 l) (#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 l) (#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 l) (#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 l) (#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)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))) (taylor -inf l) (#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)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))) (taylor -inf l) (#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)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))) (taylor -inf l) (#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)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))) (taylor -inf l) (#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 (* 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 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>) () ())) ())

Calls

69 calls:

Time	Variable		Point	Expression
20.0ms	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	M	@	-inf	(pow (- (/ (+ m n) 2) M) 2)
1.0ms	K	@	0	(/ (* K (+ m n)) 2)

simplify336.0ms (2.2%)

Memory

7.4MiB live, 518.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 490×	`lower-fma.f64`
7 490×	`lower-fma.f32`
7 008×	`lower-*.f64`
7 008×	`lower-*.f32`
2 382×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	492	4406
1	1500	4295
2	4647	4272
0	8207	4046

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)))))
(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)))
(* 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)))))

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

rewrite368.0ms (2.5%)

Memory

-5.4MiB live, 691.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 438×	`lower-fma.f64`
4 438×	`lower-fma.f32`
4 432×	`lower-/.f32`
4 428×	`lower-/.f64`
4 364×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	71
0	34	71
1	157	71
2	1243	71
0	8264	71

Stop Event

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

Counts

7 → 324

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))
(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 K (+.f64 m n))

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

eval81.0ms (0.5%)

Memory: 22.1MiB live, 210.6MiB allocated
Compiler: Compiled 34 107 to 2 405 computations (92.9% saved)

prune104.0ms (0.7%)

Memory

-8.5MiB live, 263.0MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	587	13	600
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	588	13	601

Accuracy

98.9%

Counts

601 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.6%	(.f64 (fma.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 M) (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (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))))))
	17.6%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (pow.f64 (exp.f64 (-.f64 (neg.f64 (.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))) (.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))) (.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)))))) (.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 (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))) (.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))) (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (fma.f64 (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) (neg.f64 M))) (-.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 (-.f64 (neg.f64 (pow.f64 (-.f64 (.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (fma.f64 n (+.f64 m n) (.f64 m m)) (-.f64 m n))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 m n) (*.f64 m m))))) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	51.1%	(.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))))))
	51.6%	(.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 #s(literal 1/4 binary64) (.f64 m m)))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	40.4%	(.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)))))
	41.1%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 n (.f64 n #s(literal -1/4 binary64))))))
	41.9%	(.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 M (neg.f64 M)))))
▶	32.3%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
▶	39.9%	(.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))))))
▶	82.3%	(.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	73.9%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (.f64 m (.f64 K #s(literal -1/2 binary64))) (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)))) (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))))))
▶	97.4%	(.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 1 100 to 564 computations (48.7% saved)

simplify266.0ms (1.8%)

Memory

32.3MiB live, 390.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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	5696	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
✓	cost-diff	13312	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (+.f64 m n) K))) #s(literal -1 binary64)))
✓	cost-diff	0	(.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) 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	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	5696	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
✓	cost-diff	0	(-.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	128	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
✓	cost-diff	384	(/.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	(.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	128	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
✓	cost-diff	384	(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
✓	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	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	5696	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))

Rules

7 004×	`lower-fma.f64`
7 004×	`lower-fma.f32`
2 896×	`lower-*.f32`
2 872×	`lower-*.f64`
1 892×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	745
0	101	731
1	152	730
2	246	713
3	556	713
4	1623	713
5	5776	713
0	8257	705

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

localize253.0ms (1.7%)

Memory

-18.2MiB live, 479.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 #s(literal 2 binary64) (*.f64 (+.f64 m n) K))
✓	accuracy	96.4%	(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (+.f64 m n) K))) #s(literal -1 binary64)))
✓	accuracy	87.9%	(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 m n) K)))
✓	accuracy	64.3%	(cos.f64 (-.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (+.f64 m n) K))) #s(literal -1 binary64))) M))
✓	accuracy	100.0%	(.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) 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))))))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 n K))
✓	accuracy	73.3%	#s(approx (/ (* K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K)))
✓	accuracy	64.3%	(cos.f64 (-.f64 #s(approx (/ (* K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M))
✓	accuracy	100.0%	(.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)))))
✓	accuracy	100.0%	(*.f64 K (+.f64 m n))
✓	accuracy	65.2%	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))
✓	accuracy	64.3%	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
✓	accuracy	100.0%	(.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))))
✓	accuracy	100.0%	(*.f64 K (+.f64 m n))
✓	accuracy	64.3%	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
✓	accuracy	57.8%	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
✓	accuracy	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 l (fabs.f64 (-.f64 m n)))
✓	accuracy	100.0%	(.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))))))
✓	accuracy	64.5%	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))

Samples

93.0ms	113×	1	valid
41.0ms	122×	0	invalid
7.0ms	21×	0	valid

Compiler

Compiled 690 to 40 computations (94.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 18.0ms (19.7% of total)

ival-cos: 16.0ms (17.5% of total)

ival-exp: 12.0ms (13.1% of total)

ival-sub: 11.0ms (12% of total)

ival-log: 8.0ms (8.7% of total)

ival-div: 7.0ms (7.6% of total)

adjust: 7.0ms (7.6% of total)

ival-pow2: 6.0ms (6.6% of total)

ival-neg: 2.0ms (2.2% of total)

ival-add: 2.0ms (2.2% of total)

ival-fabs: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series144.0ms (1%)

Memory

7.1MiB live, 200.6MiB allocated

Counts

22 → 960

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

Calls

240 calls:

Time	Variable		Point	Expression
38.0ms	K	@	0	(log (/ 2 (* (+ m n) K)))
16.0ms	K	@	-inf	(log (/ 2 (* (+ m n) K)))
10.0ms	m	@	inf	(log (/ 2 (* (+ m n) K)))
7.0ms	K	@	inf	(log (/ 2 (* (+ m n) K)))
3.0ms	K	@	0	(* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))

simplify533.0ms (3.6%)

Memory

-16.3MiB live, 687.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 354×	`lower-fma.f64`
11 354×	`lower-fma.f32`
7 656×	`lower-*.f64`
7 656×	`lower-*.f32`
4 938×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	940	24153
1	2873	23348
0	8336	22704

Stop Event

1×	iter limit
1×	node limit

Counts

960 → 958

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 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)) (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))))))
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(- (+ (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)))))
(* 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 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(cos (- (* 1/2 (* K n)) M))
(+ (cos (- (* 1/2 (* K n)) M)) (* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M))))))
(+ (cos (- (* 1/2 (* K n)) M)) (* 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 (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 (+ 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)))))
(log (/ 2 (* K n)))
(+ (log (/ 2 (* K n))) (* -1 (/ m n)))
(+ (log (/ 2 (* K n))) (* m (- (* 1/2 (/ m (pow n 2))) (/ 1 n))))
(+ (log (/ 2 (* K n))) (* m (- (* m (+ (* -1/3 (/ m (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))))
(+ (log (/ 1 m)) (log (/ 2 K)))
(+ (log (/ 1 m)) (+ (log (/ 2 K)) (* -1 (/ n m))))
(+ (log (/ 1 m)) (+ (log (/ 2 K)) (+ (* -1 (/ n m)) (* 1/2 (/ (+ (* -1 (pow n 2)) (* 2 (pow n 2))) (pow m 2))))))
(+ (log (/ 1 m)) (+ (log (/ 2 K)) (+ (* -1 (/ n m)) (+ (* 1/6 (/ (+ (* -6 (pow n 3)) (+ (* -2 (pow n 3)) (* 6 (pow n 3)))) (pow m 3))) (* 1/2 (/ (+ (* -1 (pow n 2)) (* 2 (pow n 2))) (pow m 2)))))))
(+ (log (/ -2 K)) (log (/ -1 m)))
(+ (log (/ -2 K)) (+ (log (/ -1 m)) (* -1 (/ n m))))
(+ (log (/ -2 K)) (+ (log (/ -1 m)) (* -1 (/ (+ n (* -1/2 (/ (+ (* -1 (pow n 2)) (* 2 (pow n 2))) m))) m))))
(+ (log (/ -2 K)) (+ (log (/ -1 m)) (* -1 (/ (+ n (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow n 3)) (+ (* 2 (pow n 3)) (* 6 (pow n 3)))) m)) (* 1/2 (+ (* -1 (pow n 2)) (* 2 (pow n 2))))) m))) m))))
(log (/ 2 (* K m)))
(+ (log (/ 2 (* K m))) (* -1 (/ n m)))
(+ (log (/ 2 (* K m))) (* n (- (* 1/2 (/ n (pow m 2))) (/ 1 m))))
(+ (log (/ 2 (* K m))) (* n (- (* n (+ (* -1/3 (/ n (pow m 3))) (* 1/2 (/ 1 (pow m 2))))) (/ 1 m))))
(+ (log (/ 1 n)) (log (/ 2 K)))
(+ (log (/ 1 n)) (+ (log (/ 2 K)) (* -1 (/ m n))))
(+ (log (/ 1 n)) (+ (log (/ 2 K)) (+ (* -1 (/ m n)) (* 1/2 (/ (+ (* -1 (pow m 2)) (* 2 (pow m 2))) (pow n 2))))))
(+ (log (/ 1 n)) (+ (log (/ 2 K)) (+ (* -1 (/ m n)) (+ (* 1/6 (/ (+ (* -6 (pow m 3)) (+ (* -2 (pow m 3)) (* 6 (pow m 3)))) (pow n 3))) (* 1/2 (/ (+ (* -1 (pow m 2)) (* 2 (pow m 2))) (pow n 2)))))))
(+ (log (/ -2 K)) (log (/ -1 n)))
(+ (log (/ -2 K)) (+ (log (/ -1 n)) (* -1 (/ m n))))
(+ (log (/ -2 K)) (+ (log (/ -1 n)) (* -1 (/ (+ m (* -1/2 (/ (+ (* -1 (pow m 2)) (* 2 (pow m 2))) n))) n))))
(+ (log (/ -2 K)) (+ (log (/ -1 n)) (* -1 (/ (+ m (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow m 3)) (+ (* 2 (pow m 3)) (* 6 (pow m 3)))) n)) (* 1/2 (+ (* -1 (pow m 2)) (* 2 (pow m 2))))) n))) n))))
(+ (log (/ 2 (+ m n))) (* -1 (log K)))
(+ (log (/ 2 (+ m n))) (* -1 (log K)))
(+ (log (/ 2 (+ m n))) (* -1 (log K)))
(+ (log (/ 2 (+ m n))) (* -1 (log K)))
(+ (log (/ 1 K)) (log (/ 2 (+ m n))))
(+ (log (/ 1 K)) (log (/ 2 (+ m n))))
(+ (log (/ 1 K)) (log (/ 2 (+ m n))))
(+ (log (/ 1 K)) (log (/ 2 (+ m n))))
(+ (log (/ -2 (+ m n))) (log (/ -1 K)))
(+ (log (/ -2 (+ m n))) (log (/ -1 K)))
(+ (log (/ -2 (+ m n))) (log (/ -1 K)))
(+ (log (/ -2 (+ m n))) (log (/ -1 K)))
(/ 2 (* K n))
(+ (* -2 (/ m (* K (pow n 2)))) (* 2 (/ 1 (* K n))))
(+ (* m (- (* 2 (/ m (* K (pow n 3)))) (* 2 (/ 1 (* K (pow n 2)))))) (* 2 (/ 1 (* K n))))
(+ (* m (- (* m (+ (* -2 (/ m (* K (pow n 4)))) (* 2 (/ 1 (* K (pow n 3)))))) (* 2 (/ 1 (* K (pow n 2)))))) (* 2 (/ 1 (* K n))))
(/ 2 (* K m))
(/ (+ (* -2 (/ n (* K m))) (* 2 (/ 1 K))) m)
(/ (- (+ (* 2 (/ (pow n 2) (* K (pow m 2)))) (* 2 (/ 1 K))) (* 2 (/ n (* K m)))) m)
(/ (- (+ (* -2 (/ (pow n 3) (* K (pow m 3)))) (* 2 (/ 1 K))) (+ (* -2 (/ (pow n 2) (* K (pow m 2)))) (* 2 (/ n (* K m))))) m)
(/ 2 (* K m))
(* -1 (/ (- (* 2 (/ n (* K m))) (* 2 (/ 1 K))) m))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow n 2) (* K m))) (* 2 (/ n K))) m)) (* 2 (/ 1 K))) m))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow n 3) (* K m))) (* 2 (/ (pow n 2) K))) m)) (* 2 (/ n K))) m)) (* 2 (/ 1 K))) m))
(/ 2 (* K m))
(+ (* -2 (/ n (* K (pow m 2)))) (* 2 (/ 1 (* K m))))
(+ (* n (- (* 2 (/ n (* K (pow m 3)))) (* 2 (/ 1 (* K (pow m 2)))))) (* 2 (/ 1 (* K m))))
(+ (* n (- (* n (+ (* -2 (/ n (* K (pow m 4)))) (* 2 (/ 1 (* K (pow m 3)))))) (* 2 (/ 1 (* K (pow m 2)))))) (* 2 (/ 1 (* K m))))
(/ 2 (* K n))
(/ (+ (* -2 (/ m (* K n))) (* 2 (/ 1 K))) n)
(/ (- (+ (* 2 (/ (pow m 2) (* K (pow n 2)))) (* 2 (/ 1 K))) (* 2 (/ m (* K n)))) n)
(/ (- (+ (* -2 (/ (pow m 3) (* K (pow n 3)))) (* 2 (/ 1 K))) (+ (* -2 (/ (pow m 2) (* K (pow n 2)))) (* 2 (/ m (* K n))))) n)
(/ 2 (* K n))
(* -1 (/ (- (* 2 (/ m (* K n))) (* 2 (/ 1 K))) n))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow m 2) (* K n))) (* 2 (/ m K))) n)) (* 2 (/ 1 K))) n))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow m 3) (* K n))) (* 2 (/ (pow m 2) K))) n)) (* 2 (/ m K))) n)) (* 2 (/ 1 K))) n))
(/ 2 (* K (+ m n)))
(/ 2 (* K (+ m n)))
(/ 2 (* K (+ m n)))
(/ 2 (* K (+ m n)))
(/ 2 (* K (+ m n)))
(/ 2 (* K (+ m n)))
(/ 2 (* K (+ m n)))
(/ 2 (* K (+ m n)))
(/ 2 (* K (+ m n)))
(/ 2 (* K (+ m n)))
(/ 2 (* K (+ m n)))
(/ 2 (* K (+ m n)))

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

rewrite640.0ms (4.3%)

Memory

-186.1MiB live, 650.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 398×	`lower-*.f32`
4 380×	`lower-fma.f64`
4 380×	`lower-fma.f32`
4 376×	`lower-*.f64`
3 758×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	332
0	99	324
1	281	324
2	1741	324
0	8288	324

Stop Event

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

Counts

22 → 540

Calls

Call 1

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

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

eval319.0ms (2.1%)

Memory: 8.3MiB live, 630.8MiB allocated
Compiler: Compiled 116 931 to 4 543 computations (96.1% saved)

prune346.0ms (2.3%)

Memory

23.3MiB live, 671.4MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	2 458	14	2 472
Fresh	4	4	8
Picked	5	0	5
Done	0	0	0
Total	2 467	18	2 485

Accuracy

98.9%

Counts

2 485 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.6%	(.f64 (fma.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 M) (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (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))))))
▶	82.3%	(.f64 (exp.f64 (neg.f64 (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 n (.f64 K #s(literal 1/2 binary64)))) M)))
	32.4%	(*.f64 (cos.f64 (fma.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 m n))) (neg.f64 M))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	17.2%	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (.f64 (+.f64 m n) K)))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	17.6%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (pow.f64 (exp.f64 (-.f64 (neg.f64 (.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))) (.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))) (.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)))))) (.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 (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))) (.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))) (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (fma.f64 (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) (neg.f64 M))) (-.f64 l (fabs.f64 (-.f64 m n)))))))))
	51.1%	(.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))))))
▶	41.9%	(.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 M (neg.f64 M)))))
▶	33.1%	(.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 (neg.f64 (/.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.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 l (fabs.f64 (-.f64 m n))))))
	58.6%	(.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 (neg.f64 #s(approx (pow (- (/ (+ m n) 2) M) 2) (.f64 #s(literal 1/4 binary64) (.f64 m m)))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	49.0%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 n (.f64 #s(literal 1/2 binary64) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
	34.8%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 n (.f64 #s(literal 1/2 binary64) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	42.9%	(.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)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
▶	33.3%	(.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))))
	31.7%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 m K)) (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	58.1%	(.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)))))
	56.2%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
	51.5%	(.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)))))
▶	38.2%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))

Compiler

Compiled 1 204 to 628 computations (47.8% saved)

simplify448.0ms (3%)

Memory

-44.9MiB live, 548.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 (neg.f64 (/.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.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 l (fabs.f64 (-.f64 m n))))))
✓	cost-diff	128	(-.f64 (neg.f64 (/.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.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 l (fabs.f64 (-.f64 m n))))
✓	cost-diff	192	(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))))
✓	cost-diff	256	(neg.f64 (/.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.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))))))
✓	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 M (neg.f64 M)))))
✓	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	0	(exp.f64 (neg.f64 (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	cost-diff	0	(.f64 (exp.f64 (neg.f64 (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 n (.f64 K #s(literal 1/2 binary64)))) M)))
✓	cost-diff	128	(neg.f64 (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))))
✓	cost-diff	256	(fma.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)) (-.f64 l (fabs.f64 (-.f64 m n))))

Rules

14 340×	`lower-fma.f32`
14 332×	`lower-fma.f64`
3 958×	`lower-*.f32`
3 918×	`lower-*.f64`
2 470×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	1003
0	130	933
1	240	933
2	601	920
3	2132	913
4	7341	913
0	8412	890

Stop Event

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

Calls

Call 1

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

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

localize423.0ms (2.8%)

Memory

26.2MiB live, 373.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	92.8%	(-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (*.f64 M M)))
✓	accuracy	53.8%	#s(approx (/ (* K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K)))
✓	accuracy	35.3%	(cos.f64 (-.f64 #s(approx (/ (* K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M))
✓	accuracy	32.0%	(/.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.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)))))
✓	accuracy	100.0%	(*.f64 K (+.f64 m n))
✓	accuracy	100.0%	(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 M (neg.f64 M))))
✓	accuracy	35.3%	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
✓	accuracy	34.9%	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 M (neg.f64 M)))
✓	accuracy	100.0%	(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
✓	accuracy	38.4%	#s(approx (- (/ (* K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 m K)))
✓	accuracy	35.3%	(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 #s(literal 1/2 binary64) (.f64 m K))))
✓	accuracy	19.3%	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
✓	accuracy	100.0%	(.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))))
✓	accuracy	100.0%	(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
✓	accuracy	37.2%	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
✓	accuracy	19.3%	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
✓	accuracy	100.0%	(fma.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)) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	accuracy	100.0%	(exp.f64 (neg.f64 (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	accuracy	53.8%	#s(approx (/ (* K (+ m n)) 2) (.f64 n (.f64 K #s(literal 1/2 binary64))))
✓	accuracy	35.3%	(cos.f64 (-.f64 #s(approx (/ (* K (+ m n)) 2) (.f64 n (.f64 K #s(literal 1/2 binary64)))) M))

Samples

251.0ms	209×	1	valid
18.0ms	47×	0	valid

Compiler

Compiled 933 to 59 computations (93.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

adjust: 53.0ms (28.5% of total)

ival-mult: 45.0ms (24.2% of total)

ival-cos: 35.0ms (18.8% of total)

ival-sub: 14.0ms (7.5% of total)

ival-add: 11.0ms (5.9% of total)

ival-div: 9.0ms (4.8% of total)

ival-neg: 8.0ms (4.3% of total)

ival-exp: 5.0ms (2.7% of total)

ival-pow2: 4.0ms (2.1% of total)

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

exact: 1.0ms (0.5% of total)

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

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

series271.0ms (1.8%)

Memory

-12.7MiB live, 349.4MiB allocated

Counts

30 → 1 344

Calls

Call 1

Inputs
#s(alt (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))) (patch (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n))))) (patch (neg.f64 (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n))))) #<representation binary64>) () ())
#s(alt (.f64 (exp.f64 (neg.f64 (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 n (.f64 K #s(literal 1/2 binary64)))) M))) (patch (.f64 (exp.f64 (neg.f64 (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 n (.f64 K #s(literal 1/2 binary64)))) M))) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (exp.f64 (neg.f64 (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<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 M (neg.f64 M))))) (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 M (neg.f64 M))))) #<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 (neg.f64 (/.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.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)))))) (patch (neg.f64 (/.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.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)))))) #<representation binary64>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 (/.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.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 l (fabs.f64 (-.f64 m n)))) (patch (-.f64 (neg.f64 (/.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.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 l (fabs.f64 (-.f64 m n)))) #<representation binary64>) () ())
#s(alt (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 (neg.f64 (/.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.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 l (fabs.f64 (-.f64 m n)))))) (patch (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 (neg.f64 (/.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.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 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())
#s(alt (cos.f64 (-.f64 #s(approx (/ (* K (+ m n)) 2) (.f64 n (.f64 K #s(literal 1/2 binary64)))) M)) (patch (cos.f64 (-.f64 #s(approx (/ (* K (+ m n)) 2) (.f64 n (.f64 K #s(literal 1/2 binary64)))) M)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* K (+ m n)) 2) (.f64 n (.f64 K #s(literal 1/2 binary64)))) (patch #s(approx (/ (* K (+ m n)) 2) (.f64 n (.f64 K #s(literal 1/2 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 (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 K (+.f64 m n)) (patch (.f64 K (+.f64 m n)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.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))))) (patch (/.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.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))))) #<representation binary64>) () ())
#s(alt (cos.f64 (-.f64 #s(approx (/ (* K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (patch (cos.f64 (-.f64 #s(approx (/ (* K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) (patch #s(approx (/ (* K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())

Outputs
#s(alt (- (+ l (pow (- (* 1/2 n) M) 2)) (fabs (- m n))) (taylor 0 m) (#s(alt (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))) (patch (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))) #<representation binary64>) () ())) ())
#s(alt (- (+ l (+ (* m (- (* 1/2 n) M)) (pow (- (* 1/2 n) M) 2))) (fabs (- m n))) (taylor 0 m) (#s(alt (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))) (patch (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))) #<representation binary64>) () ())) ())
#s(alt (- (+ l (+ (* m (- (+ (* 1/4 m) (* 1/2 n)) M)) (pow (- (* 1/2 n) M) 2))) (fabs (- m n))) (taylor 0 m) (#s(alt (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))) (patch (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))) #<representation binary64>) () ())) ())
#s(alt (- (+ l (+ (* m (- (+ (* 1/4 m) (* 1/2 n)) M)) (pow (- (* 1/2 n) M) 2))) (fabs (- m n))) (taylor 0 m) (#s(alt (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))) (patch (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))) #<representation binary64>) () ())) ())
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#s(alt (- (* 1/8 (pow n 3)) (pow M 3)) (taylor 0 m) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/8 (* m (+ (* 2 (pow n 2)) (pow n 2)))) (* 1/8 (pow n 3))) (pow M 3)) (taylor 0 m) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/8 (pow n 3)) (* m (+ (* 1/8 (* m (+ n (* 2 n)))) (* 1/8 (+ (* 2 (pow n 2)) (pow n 2)))))) (pow M 3)) (taylor 0 m) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/8 (pow n 3)) (* m (+ (* 1/8 (+ (* 2 (pow n 2)) (pow n 2))) (* m (+ (* 1/8 m) (* 1/8 (+ n (* 2 n)))))))) (pow M 3)) (taylor 0 m) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (pow m 3)) (taylor inf m) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* (pow m 3) (+ 1/8 (* 1/8 (/ (+ n (* 2 n)) m)))) (taylor inf m) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* (pow m 3) (+ 1/8 (+ (* 1/8 (/ (+ n (* 2 n)) m)) (* 1/8 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow m 2)))))) (taylor inf m) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* (pow m 3) (- (+ 1/8 (+ (* 1/8 (/ (+ n (* 2 n)) m)) (+ (* 1/8 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow m 2))) (* 1/8 (/ (pow n 3) (pow m 3)))))) (/ (pow M 3) (pow m 3)))) (taylor inf m) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (pow m 3)) (taylor -inf m) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow m 3) (- (* -1/8 (/ (+ n (* 2 n)) m)) 1/8))) (taylor -inf m) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow m 3) (- (* -1 (/ (+ (* -1/8 (/ (+ (* -2 (pow n 2)) (* -1 (pow n 2))) m)) (* 1/8 (+ n (* 2 n)))) m)) 1/8))) (taylor -inf m) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow m 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (pow n 3)) (pow M 3)) m)) (* 1/8 (+ (* -2 (pow n 2)) (* -1 (pow n 2))))) m)) (* 1/8 (+ n (* 2 n)))) m)) 1/8))) (taylor -inf m) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/8 (pow m 3)) (pow M 3)) (taylor 0 n) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/8 (* n (+ (* 2 (pow m 2)) (pow m 2)))) (* 1/8 (pow m 3))) (pow M 3)) (taylor 0 n) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/8 (pow m 3)) (* n (+ (* 1/8 (* n (+ m (* 2 m)))) (* 1/8 (+ (* 2 (pow m 2)) (pow m 2)))))) (pow M 3)) (taylor 0 n) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 1/8 (pow m 3)) (* n (+ (* 1/8 (+ (* 2 (pow m 2)) (pow m 2))) (* n (+ (* 1/8 n) (* 1/8 (+ m (* 2 m)))))))) (pow M 3)) (taylor 0 n) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (pow n 3)) (taylor inf n) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* (pow n 3) (+ 1/8 (* 1/8 (/ (+ m (* 2 m)) n)))) (taylor inf n) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* (pow n 3) (+ 1/8 (+ (* 1/8 (/ (+ m (* 2 m)) n)) (* 1/8 (/ (+ (* 2 (pow m 2)) (pow m 2)) (pow n 2)))))) (taylor inf n) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* (pow n 3) (- (+ 1/8 (+ (* 1/8 (/ (+ m (* 2 m)) n)) (+ (* 1/8 (/ (+ (* 2 (pow m 2)) (pow m 2)) (pow n 2))) (* 1/8 (/ (pow m 3) (pow n 3)))))) (/ (pow M 3) (pow n 3)))) (taylor inf n) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (pow n 3)) (taylor -inf n) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow n 3) (- (* -1/8 (/ (+ m (* 2 m)) n)) 1/8))) (taylor -inf n) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow n 3) (- (* -1 (/ (+ (* -1/8 (/ (+ (* -2 (pow m 2)) (* -1 (pow m 2))) n)) (* 1/8 (+ m (* 2 m)))) n)) 1/8))) (taylor -inf n) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow n 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (pow m 3)) (pow M 3)) n)) (* 1/8 (+ (* -2 (pow m 2)) (* -1 (pow m 2))))) n)) (* 1/8 (+ m (* 2 m)))) n)) 1/8))) (taylor -inf n) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* 1/8 (pow (+ m n) 3)) (taylor 0 M) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow M 3)) (* 1/8 (pow (+ m n) 3))) (taylor 0 M) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow M 3)) (* 1/8 (pow (+ m n) 3))) (taylor 0 M) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow M 3)) (* 1/8 (pow (+ m n) 3))) (taylor 0 M) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow M 3)) (taylor inf M) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* (pow M 3) (- (* 1/8 (/ (pow (+ m n) 3) (pow M 3))) 1)) (taylor inf M) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* (pow M 3) (- (* 1/8 (/ (pow (+ m n) 3) (pow M 3))) 1)) (taylor inf M) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* (pow M 3) (- (* 1/8 (/ (pow (+ m n) 3) (pow M 3))) 1)) (taylor inf M) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow M 3)) (taylor -inf M) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow M 3) (+ 1 (* -1/8 (/ (pow (+ m n) 3) (pow M 3)))))) (taylor -inf M) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow M 3) (+ 1 (* -1/8 (/ (pow (+ m n) 3) (pow M 3)))))) (taylor -inf M) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow M 3) (+ 1 (* -1/8 (/ (pow (+ m n) 3) (pow M 3)))))) (taylor -inf M) (#s(alt (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) (patch (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M))) #<representation binary64>) () ())) ())

Calls

336 calls:

Time	Variable		Point	Expression
24.0ms	K	@	0	(* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (- l (fabs (- m n))))))
21.0ms	n	@	-inf	(/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))
9.0ms	M	@	0	(+ (* (+ (* (+ m n) 1/2) (neg M)) (+ (* (+ m n) 1/2) (neg M))) (- l (fabs (- m n))))
5.0ms	m	@	0	(* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (- l (fabs (- m n))))))
5.0ms	n	@	0	(* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (- l (fabs (- m n))))))

simplify727.0ms (4.9%)

Memory

-9.6MiB live, 1 139.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 148×	`lower-fma.f64`
7 148×	`lower-fma.f32`
5 912×	`lower-*.f64`
5 912×	`lower-*.f32`
5 802×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1910	53958
1	6449	53682
0	8678	50966

Stop Event

1×	iter limit
1×	node limit

Counts

1 344 → 1 342

Calls

Call 1

Inputs
(- (+ 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))))
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(- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))
(- (+ (fabs (- m n)) (* M (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (+ l (* 1/4 (pow (+ m n) 2))))
(- (+ (fabs (- m n)) (* M (- (+ (* 1/2 (+ m n)) (* M (+ 1 (* 2 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (+ m n)))))) (* -1/2 (+ m n))))) (+ l (* 1/4 (pow (+ m n) 2))))
(- (+ (fabs (- m n)) (* M (- (+ (* 1/2 (+ m n)) (* M (+ 1 (+ (* 2 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (+ m n))) (* M (+ (* -2 (/ (+ 1 (* 2 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (+ m n)))) (+ m n))) (+ (* 2 (/ 1 (+ m n))) (* 4 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (pow (+ m n) 2)))))))))) (* -1/2 (+ m n))))) (+ l (* 1/4 (pow (+ m n) 2))))
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(* -1 (pow M 2))
(* (pow M 2) (- (* -1 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) M)) 1))
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(+ (* n (- (+ (* 1/8 (/ (* (+ (* 2 (pow m 2)) (pow m 2)) (- (* 1/2 m) M)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))))) (+ (* 1/2 (/ (- (* 1/8 (pow m 3)) (pow M 3)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))))) (* n (- (+ (* 1/16 (/ (+ (* 2 (pow m 2)) (pow m 2)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))))) (+ (* 1/8 (/ (* (+ m (* 2 m)) (- (* 1/2 m) M)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))))) (* n (- (+ (* 1/16 (/ (+ m (* 2 m)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))))) (* 1/8 (/ (- (* 1/2 m) M) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m))))))) (+ (* 1/4 (/ (- (+ (* 1/8 (/ (* (+ (* 2 (pow m 2)) (pow m 2)) (- (* 1/2 m) M)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))))) (* 1/2 (/ (- (* 1/8 (pow m 3)) (pow M 3)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m))))))) (/ (* (+ (* 1/2 M) (* 1/2 m)) (* (- (* 1/8 (pow m 3)) (pow M 3)) (- (* 1/2 m) M))) (pow (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))) 2))) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))))) (/ (* (+ (* 1/2 M) (* 1/2 m)) (- (+ (* 1/16 (/ (+ (* 2 (pow m 2)) (pow m 2)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))))) (* 1/8 (/ (* (+ m (* 2 m)) (- (* 1/2 m) M)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m))))))) (+ (* 1/4 (/ (* (- (* 1/8 (pow m 3)) (pow M 3)) (- (* 1/2 m) M)) (pow (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))) 2))) (/ (* (+ (* 1/2 M) (* 1/2 m)) (- (+ (* 1/8 (/ (* (+ (* 2 (pow m 2)) (pow m 2)) (- (* 1/2 m) M)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))))) (* 1/2 (/ (- (* 1/8 (pow m 3)) (pow M 3)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m))))))) (/ (* (+ (* 1/2 M) (* 1/2 m)) (* (- (* 1/8 (pow m 3)) (pow M 3)) (- (* 1/2 m) M))) (pow (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))) 2)))) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))))))) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))))))))) (+ (* 1/4 (/ (* (- (* 1/8 (pow m 3)) (pow M 3)) (- (* 1/2 m) M)) (pow (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))) 2))) (/ (* (+ (* 1/2 M) (* 1/2 m)) (- (+ (* 1/8 (/ (* (+ (* 2 (pow m 2)) (pow m 2)) (- (* 1/2 m) M)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))))) (* 1/2 (/ (- (* 1/8 (pow m 3)) (pow M 3)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m))))))) (/ (* (+ (* 1/2 M) (* 1/2 m)) (* (- (* 1/8 (pow m 3)) (pow M 3)) (- (* 1/2 m) M))) (pow (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))) 2)))) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))))))))) (/ (* (+ (* 1/2 M) (* 1/2 m)) (* (- (* 1/8 (pow m 3)) (pow M 3)) (- (* 1/2 m) M))) (pow (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))) 2)))) (/ (* (- (* 1/8 (pow m 3)) (pow M 3)) (- (* 1/2 m) M)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m))))))
(* 1/4 (pow n 2))
(* (pow n 2) (- (+ 1/4 (* 4 (/ (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M))) n))) (+ (* 1/2 (/ M n)) (* 1/2 (/ m n)))))
(* (pow n 2) (- (+ 1/4 (+ (* 4 (/ (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M))) n)) (* 4 (/ (+ (* 1/16 (+ (* 2 (pow m 2)) (pow m 2))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M)))) (pow n 2))))) (+ (* 1/4 (/ (pow m 2) (pow n 2))) (+ (* 1/2 (/ M n)) (+ (* 1/2 (/ m n)) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 m)) (- (* 4 (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M)))) (+ (* 1/2 M) (* 1/2 m)))) (pow n 2))) (/ (* M (+ M (* 1/2 m))) (pow n 2))))))))
(* (pow n 2) (- (+ 1/4 (+ (* 4 (/ (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M))) n)) (+ (* 4 (/ (+ (* 1/16 (+ (* 2 (pow m 2)) (pow m 2))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M)))) (pow n 2))) (* 4 (/ (+ (* 1/8 (* (+ (* 2 (pow m 2)) (pow m 2)) (- (* 1/2 m) M))) (* 1/2 (- (* 1/8 (pow m 3)) (pow M 3)))) (pow n 3)))))) (+ (* 1/4 (/ (pow m 2) (pow n 2))) (+ (* 1/2 (/ M n)) (+ (* 1/2 (/ m n)) (+ (* 4 (/ (* (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))) (- (* 4 (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M)))) (+ (* 1/2 M) (* 1/2 m)))) (pow n 3))) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 m)) (- (* 4 (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M)))) (+ (* 1/2 M) (* 1/2 m)))) (pow n 2))) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 m)) (- (* 4 (+ (* 1/16 (+ (* 2 (pow m 2)) (pow m 2))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M))))) (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* 1/2 M) (* 1/2 m)) (- (* 4 (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M)))) (+ (* 1/2 M) (* 1/2 m))))) (* M (+ M (* 1/2 m))))))) (pow n 3))) (/ (* M (+ M (* 1/2 m))) (pow n 2))))))))))
(* 1/4 (pow n 2))
(* (pow n 2) (+ 1/4 (* -1 (/ (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))) n))))
(* (pow n 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (* 4 (+ (* -1/16 (+ (* -2 (pow m 2)) (* -1 (pow m 2)))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M))))) (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))))) (* M (+ M (* 1/2 m)))))) n)) (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m)))))) (+ (* -1/2 M) (* -1/2 m))) n))))
(* (pow n 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 4 (+ (* -1/2 (- (* 1/8 (pow m 3)) (pow M 3))) (* 1/8 (* (+ (* -2 (pow m 2)) (* -1 (pow m 2))) (- (* 1/2 m) M))))) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/16 (+ (* -2 (pow m 2)) (* -1 (pow m 2)))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M))))) (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))))) (* M (+ M (* 1/2 m)))))))) (* 4 (* (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))))))) n)) (* 4 (+ (* -1/16 (+ (* -2 (pow m 2)) (* -1 (pow m 2)))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M)))))) (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))))) (* M (+ M (* 1/2 m)))))) n)) (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m)))))) (+ (* -1/2 M) (* -1/2 m))) n))))
(* 1/4 (pow (+ m n) 2))
(+ (* 1/4 (pow (+ m n) 2)) (* M (- (* -1/2 (+ m n)) (* 1/2 (+ m n)))))
(+ (* 1/4 (pow (+ m n) 2)) (* M (- (+ (* -1 (* M (+ 1 (* 2 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (+ m n)))))) (* -1/2 (+ m n))) (* 1/2 (+ m n)))))
(+ (* 1/4 (pow (+ m n) 2)) (* M (- (+ (* -1/2 (+ m n)) (* M (- (* -1 (* M (+ (* -2 (/ (+ 1 (* 2 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (+ m n)))) (+ m n))) (+ (* 2 (/ 1 (+ m n))) (* 4 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (pow (+ m n) 2))))))) (+ 1 (* 2 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (+ m n))))))) (* 1/2 (+ m n)))))
(pow M 2)
(* (pow M 2) (- (+ 1 (* -1/2 (/ (+ m n) M))) (* 1/2 (/ (+ m n) M))))
(* (pow M 2) (- (+ 1 (+ (* -1 (/ (+ (* 1/4 (pow (+ m n) 2)) (* 1/2 (* (+ m n) (- (* -1/2 (+ m n)) (* 1/2 (+ m n)))))) (pow M 2))) (* -1/2 (/ (+ m n) M)))) (* 1/2 (/ (+ m n) M))))
(* (pow M 2) (- (+ 1 (+ (* -1/2 (/ (+ m n) M)) (* -1/8 (/ (pow (+ m n) 3) (pow M 3))))) (+ (* -1/2 (/ (* (+ m n) (+ (* 1/4 (pow (+ m n) 2)) (* 1/2 (* (+ m n) (- (* -1/2 (+ m n)) (* 1/2 (+ m n))))))) (pow M 3))) (+ (* 1/4 (/ (* (pow (+ m n) 2) (- (* -1/2 (+ m n)) (* 1/2 (+ m n)))) (pow M 3))) (+ (* 1/4 (/ (pow (+ m n) 2) (pow M 2))) (+ (* 1/2 (/ (* (+ m n) (- (* -1/2 (+ m n)) (* 1/2 (+ m n)))) (pow M 2))) (* 1/2 (/ (+ m n) M))))))))
(pow M 2)
(* (pow M 2) (+ 1 (* -1 (/ (- (* 1/2 (+ m n)) (* -1/2 (+ m n))) M))))
(* (pow M 2) (+ 1 (* -1 (/ (- (+ (* -1/2 (/ (* (+ m n) (- (* 1/2 (+ m n)) (* -1/2 (+ m n)))) M)) (+ (* 1/4 (/ (pow (+ m n) 2) M)) (* 1/2 (+ m n)))) (* -1/2 (+ m n))) M))))
(* (pow M 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (+ m n) 3)) (+ (* 1/4 (* (pow (+ m n) 2) (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (* 1/2 (* (+ m n) (+ (* -1/2 (* (+ m n) (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (* 1/4 (pow (+ m n) 2))))))) M)) (+ (* -1/2 (* (+ m n) (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (* 1/4 (pow (+ m n) 2)))) M)) (* 1/2 (+ m n))) (* -1/2 (+ m n))) 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 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)))))
(- (* 1/8 (pow n 3)) (pow M 3))
(- (+ (* 1/8 (* m (+ (* 2 (pow n 2)) (pow n 2)))) (* 1/8 (pow n 3))) (pow M 3))
(- (+ (* 1/8 (pow n 3)) (* m (+ (* 1/8 (* m (+ n (* 2 n)))) (* 1/8 (+ (* 2 (pow n 2)) (pow n 2)))))) (pow M 3))
(- (+ (* 1/8 (pow n 3)) (* m (+ (* 1/8 (+ (* 2 (pow n 2)) (pow n 2))) (* m (+ (* 1/8 m) (* 1/8 (+ n (* 2 n)))))))) (pow M 3))
(* 1/8 (pow m 3))
(* (pow m 3) (+ 1/8 (* 1/8 (/ (+ n (* 2 n)) m))))
(* (pow m 3) (+ 1/8 (+ (* 1/8 (/ (+ n (* 2 n)) m)) (* 1/8 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow m 2))))))
(* (pow m 3) (- (+ 1/8 (+ (* 1/8 (/ (+ n (* 2 n)) m)) (+ (* 1/8 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow m 2))) (* 1/8 (/ (pow n 3) (pow m 3)))))) (/ (pow M 3) (pow m 3))))
(* 1/8 (pow m 3))
(* -1 (* (pow m 3) (- (* -1/8 (/ (+ n (* 2 n)) m)) 1/8)))
(* -1 (* (pow m 3) (- (* -1 (/ (+ (* -1/8 (/ (+ (* -2 (pow n 2)) (* -1 (pow n 2))) m)) (* 1/8 (+ n (* 2 n)))) m)) 1/8)))
(* -1 (* (pow m 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (pow n 3)) (pow M 3)) m)) (* 1/8 (+ (* -2 (pow n 2)) (* -1 (pow n 2))))) m)) (* 1/8 (+ n (* 2 n)))) m)) 1/8)))
(- (* 1/8 (pow m 3)) (pow M 3))
(- (+ (* 1/8 (* n (+ (* 2 (pow m 2)) (pow m 2)))) (* 1/8 (pow m 3))) (pow M 3))
(- (+ (* 1/8 (pow m 3)) (* n (+ (* 1/8 (* n (+ m (* 2 m)))) (* 1/8 (+ (* 2 (pow m 2)) (pow m 2)))))) (pow M 3))
(- (+ (* 1/8 (pow m 3)) (* n (+ (* 1/8 (+ (* 2 (pow m 2)) (pow m 2))) (* n (+ (* 1/8 n) (* 1/8 (+ m (* 2 m)))))))) (pow M 3))
(* 1/8 (pow n 3))
(* (pow n 3) (+ 1/8 (* 1/8 (/ (+ m (* 2 m)) n))))
(* (pow n 3) (+ 1/8 (+ (* 1/8 (/ (+ m (* 2 m)) n)) (* 1/8 (/ (+ (* 2 (pow m 2)) (pow m 2)) (pow n 2))))))
(* (pow n 3) (- (+ 1/8 (+ (* 1/8 (/ (+ m (* 2 m)) n)) (+ (* 1/8 (/ (+ (* 2 (pow m 2)) (pow m 2)) (pow n 2))) (* 1/8 (/ (pow m 3) (pow n 3)))))) (/ (pow M 3) (pow n 3))))
(* 1/8 (pow n 3))
(* -1 (* (pow n 3) (- (* -1/8 (/ (+ m (* 2 m)) n)) 1/8)))
(* -1 (* (pow n 3) (- (* -1 (/ (+ (* -1/8 (/ (+ (* -2 (pow m 2)) (* -1 (pow m 2))) n)) (* 1/8 (+ m (* 2 m)))) n)) 1/8)))
(* -1 (* (pow n 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (pow m 3)) (pow M 3)) n)) (* 1/8 (+ (* -2 (pow m 2)) (* -1 (pow m 2))))) n)) (* 1/8 (+ m (* 2 m)))) n)) 1/8)))
(* 1/8 (pow (+ m n) 3))
(+ (* -1 (pow M 3)) (* 1/8 (pow (+ m n) 3)))
(+ (* -1 (pow M 3)) (* 1/8 (pow (+ m n) 3)))
(+ (* -1 (pow M 3)) (* 1/8 (pow (+ m n) 3)))
(* -1 (pow M 3))
(* (pow M 3) (- (* 1/8 (/ (pow (+ m n) 3) (pow M 3))) 1))
(* (pow M 3) (- (* 1/8 (/ (pow (+ m n) 3) (pow M 3))) 1))
(* (pow M 3) (- (* 1/8 (/ (pow (+ m n) 3) (pow M 3))) 1))
(* -1 (pow M 3))
(* -1 (* (pow M 3) (+ 1 (* -1/8 (/ (pow (+ m n) 3) (pow M 3))))))
(* -1 (* (pow M 3) (+ 1 (* -1/8 (/ (pow (+ m n) 3) (pow M 3))))))
(* -1 (* (pow M 3) (+ 1 (* -1/8 (/ (pow (+ m n) 3) (pow M 3))))))

Outputs
(- (+ 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 l (-.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)) (*.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) 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 l (fma.f64 m (fma.f64 m #s(literal 1/4 binary64) (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))))) (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 l (fma.f64 m (fma.f64 m #s(literal 1/4 binary64) (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))))) (fabs.f64 (-.f64 n m)))
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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 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 (+ 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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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 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 (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))))
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(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 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))))
(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))))
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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)))))
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(+ (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 (- (* 1/2 (+ 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))))
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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)) (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))))
(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)))))
(.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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(* (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 (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 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)))
(fma.f64 (.f64 M M) (fma.f64 (.f64 M M) (fma.f64 (*.f64 M M) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos M)
(cos.f64 M)
(cos M)
(cos.f64 M)
(cos M)
(cos.f64 M)
(cos M)
(cos.f64 M)
(cos M)
(cos.f64 M)
(cos M)
(cos.f64 M)
(cos M)
(cos.f64 M)
(cos M)
(cos.f64 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 (+.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.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 (.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 1/2 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 (+.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.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))))))
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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 (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 (+.f64 M (.f64 m #s(literal -1/2 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.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 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))) (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 M (.f64 m #s(literal -1/2 binary64))) (+.f64 M (.f64 m #s(literal -1/2 binary64)))) #s(literal -1/4 binary64))) (.f64 (+.f64 M (.f64 m #s(literal -1/2 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.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))))))
(fma.f64 n (fma.f64 n (fma.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 -1/4 binary64) (+.f64 M (.f64 m #s(literal -1/2 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (+.f64 M (.f64 m #s(literal -1/2 binary64))) (.f64 (+.f64 M (.f64 m #s(literal -1/2 binary64))) (+.f64 M (.f64 m #s(literal -1/2 binary64))))))) (.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))) (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 M (.f64 m #s(literal -1/2 binary64))) (+.f64 M (.f64 m #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)))) (.f64 (+.f64 M (.f64 m #s(literal -1/2 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.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 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))))
(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 #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)))))
(fma.f64 M (fma.f64 M (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) l))) (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) (+.f64 n m)) #s(literal -1 binary64))) (.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 (+ (* 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))))
(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)) (* -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 (- (* 1/2 (* 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 m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))))
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(* -1/4 (pow m 2))
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(* (pow m 2) (- (+ (* 1/2 (/ M m)) (* 1/2 (/ n m))) (+ 1/4 (* 4 (/ (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M))) m)))))
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(* (pow m 2) (- (+ (* 1/4 (/ (pow n 2) (pow m 2))) (+ (* 1/2 (/ M m)) (+ (* 1/2 (/ n m)) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 n)) (- (* 4 (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M)))) (+ (* 1/2 M) (* 1/2 n)))) (pow m 2))) (/ (* M (+ M (* 1/2 n))) (pow m 2)))))) (+ 1/4 (+ (* 4 (/ (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M))) m)) (* 4 (/ (+ (* 1/16 (+ (* 2 (pow n 2)) (pow n 2))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M)))) (pow m 2)))))))
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(* (pow m 2) (- (+ (* 1/4 (/ (pow n 2) (pow m 2))) (+ (* 1/2 (/ M m)) (+ (* 1/2 (/ n m)) (+ (* 4 (/ (* (+ (* 1/4 (pow n 2)) (* M (+ M (* 1/2 n)))) (- (* 4 (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M)))) (+ (* 1/2 M) (* 1/2 n)))) (pow m 3))) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 n)) (- (* 4 (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M)))) (+ (* 1/2 M) (* 1/2 n)))) (pow m 2))) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 n)) (- (* 4 (+ (* 1/16 (+ (* 2 (pow n 2)) (pow n 2))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M))))) (+ (* 1/4 (pow n 2)) (+ (* 4 (* (+ (* 1/2 M) (* 1/2 n)) (- (* 4 (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M)))) (+ (* 1/2 M) (* 1/2 n))))) (* M (+ M (* 1/2 n))))))) (pow m 3))) (/ (* M (+ M (* 1/2 n))) (pow m 2)))))))) (+ 1/4 (+ (* 4 (/ (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M))) m)) (+ (* 4 (/ (+ (* 1/16 (+ (* 2 (pow n 2)) (pow n 2))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M)))) (pow m 2))) (* 4 (/ (+ (* 1/8 (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* 1/2 n) M))) (* 1/2 (- (* 1/8 (pow n 3)) (pow M 3)))) (pow m 3))))))))
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(* -1/4 (pow m 2))
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(* (pow m 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow n 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 n)) (- (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n))))) (+ (* -1/2 M) (* -1/2 n))))) (* M (+ M (* 1/2 n))))) (* 4 (+ (* -1/16 (+ (* -2 (pow n 2)) (* -1 (pow n 2)))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M)))))) m)) (+ (* -1/2 M) (* -1/2 n))) (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n)))))) m)) 1/4))
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(* (pow m 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (* (+ (* -1/2 M) (* -1/2 n)) (- (* 4 (+ (* -1/16 (+ (* -2 (pow n 2)) (* -1 (pow n 2)))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M))))) (+ (* 1/4 (pow n 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 n)) (- (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n))))) (+ (* -1/2 M) (* -1/2 n))))) (* M (+ M (* 1/2 n)))))))) (* 4 (* (+ (* 1/4 (pow n 2)) (* M (+ M (* 1/2 n)))) (- (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n))))) (+ (* -1/2 M) (* -1/2 n)))))) (* 4 (+ (* -1/2 (- (* 1/8 (pow n 3)) (pow M 3))) (* 1/8 (* (+ (* -2 (pow n 2)) (* -1 (pow n 2))) (- (* 1/2 n) M)))))) m)) (+ (* 1/4 (pow n 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 n)) (- (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n))))) (+ (* -1/2 M) (* -1/2 n))))) (* M (+ M (* 1/2 n)))))) (* 4 (+ (* -1/16 (+ (* -2 (pow n 2)) (* -1 (pow n 2)))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M)))))) m)) (+ (* -1/2 M) (* -1/2 n))) (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n)))))) m)) 1/4))
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(* -1 (/ (* (- (* 1/8 (pow m 3)) (pow M 3)) (- (* 1/2 m) M)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m))))))
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(* -1/4 (pow n 2))
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(* (pow n 2) (- (+ (* 1/4 (/ (pow m 2) (pow n 2))) (+ (* 1/2 (/ M n)) (+ (* 1/2 (/ m n)) (+ (* 4 (/ (* (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))) (- (* 4 (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M)))) (+ (* 1/2 M) (* 1/2 m)))) (pow n 3))) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 m)) (- (* 4 (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M)))) (+ (* 1/2 M) (* 1/2 m)))) (pow n 2))) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 m)) (- (* 4 (+ (* 1/16 (+ (* 2 (pow m 2)) (pow m 2))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M))))) (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* 1/2 M) (* 1/2 m)) (- (* 4 (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M)))) (+ (* 1/2 M) (* 1/2 m))))) (* M (+ M (* 1/2 m))))))) (pow n 3))) (/ (* M (+ M (* 1/2 m))) (pow n 2)))))))) (+ 1/4 (+ (* 4 (/ (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M))) n)) (+ (* 4 (/ (+ (* 1/16 (+ (* 2 (pow m 2)) (pow m 2))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M)))) (pow n 2))) (* 4 (/ (+ (* 1/8 (* (+ (* 2 (pow m 2)) (pow m 2)) (- (* 1/2 m) M))) (* 1/2 (- (* 1/8 (pow m 3)) (pow M 3)))) (pow n 3))))))))
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(* -1/4 (pow n 2))
(.f64 (.f64 n n) #s(literal -1/4 binary64))
(* (pow n 2) (- (* -1 (/ (- (+ (* -1/2 M) (* -1/2 m)) (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m)))))) n)) 1/4))
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(* (pow n 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))))) (* M (+ M (* 1/2 m))))) (* 4 (+ (* -1/16 (+ (* -2 (pow m 2)) (* -1 (pow m 2)))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M)))))) n)) (+ (* -1/2 M) (* -1/2 m))) (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m)))))) n)) 1/4))
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(* (pow n 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/16 (+ (* -2 (pow m 2)) (* -1 (pow m 2)))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M))))) (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))))) (* M (+ M (* 1/2 m)))))))) (* 4 (* (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m)))))) (* 4 (+ (* -1/2 (- (* 1/8 (pow m 3)) (pow M 3))) (* 1/8 (* (+ (* -2 (pow m 2)) (* -1 (pow m 2))) (- (* 1/2 m) M)))))) n)) (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))))) (* M (+ M (* 1/2 m)))))) (* 4 (+ (* -1/16 (+ (* -2 (pow m 2)) (* -1 (pow m 2)))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M)))))) n)) (+ (* -1/2 M) (* -1/2 m))) (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m)))))) n)) 1/4))
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(* -1/4 (pow (+ m n) 2))
(.f64 (.f64 (+.f64 n m) (+.f64 n m)) #s(literal -1/4 binary64))
(- (* M (- (* 1/2 (+ m n)) (* -1/2 (+ m n)))) (* 1/4 (pow (+ m n) 2)))
(fma.f64 M (+.f64 n m) (.f64 (.f64 (+.f64 n m) (+.f64 n m)) #s(literal -1/4 binary64)))
(- (* M (- (+ (* 1/2 (+ m n)) (* M (+ 1 (* 2 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (+ m n)))))) (* -1/2 (+ m n)))) (* 1/4 (pow (+ m n) 2)))
(fma.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (fma.f64 M (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (neg.f64 m) n) (+.f64 n m)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 n m)))) (.f64 (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal -1/4 binary64)))
(- (* M (- (+ (* 1/2 (+ m n)) (* M (+ 1 (+ (* 2 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (+ m n))) (* M (+ (* -2 (/ (+ 1 (* 2 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (+ m n)))) (+ m n))) (+ (* 2 (/ 1 (+ m n))) (* 4 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (pow (+ m n) 2)))))))))) (* -1/2 (+ m n)))) (* 1/4 (pow (+ m n) 2)))
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(* -1 (pow M 2))
(neg.f64 (*.f64 M M))
(* (pow M 2) (- (* 1/2 (/ (+ m n) M)) (+ 1 (* -1/2 (/ (+ m n) M)))))
(.f64 (.f64 M M) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 n m) M) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)))
(* (pow M 2) (- (+ (* 1/4 (/ (pow (+ m n) 2) (pow M 2))) (+ (* 1/2 (/ (* (+ m n) (- (* -1/2 (+ m n)) (* 1/2 (+ m n)))) (pow M 2))) (* 1/2 (/ (+ m n) M)))) (+ 1 (* -1/2 (/ (+ m n) M)))))
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(* (pow M 2) (- (+ (* -1/2 (/ (* (+ m n) (+ (* 1/4 (pow (+ m n) 2)) (* 1/2 (* (+ m n) (- (* -1/2 (+ m n)) (* 1/2 (+ m n))))))) (pow M 3))) (+ (* 1/4 (/ (* (pow (+ m n) 2) (- (* -1/2 (+ m n)) (* 1/2 (+ m n)))) (pow M 3))) (+ (* 1/4 (/ (pow (+ m n) 2) (pow M 2))) (+ (* 1/2 (/ (* (+ m n) (- (* -1/2 (+ m n)) (* 1/2 (+ m n)))) (pow M 2))) (* 1/2 (/ (+ m n) M)))))) (+ 1 (+ (* -1/2 (/ (+ m n) M)) (* -1/8 (/ (pow (+ m n) 3) (pow M 3)))))))
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(* -1 (pow M 2))
(neg.f64 (*.f64 M M))
(* (pow M 2) (- (* -1 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) M)) 1))
(.f64 (.f64 M M) (+.f64 (/.f64 (+.f64 n m) M) #s(literal -1 binary64)))
(* (pow M 2) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* (+ m n) (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (* 1/4 (pow (+ m n) 2))) M)) (* -1/2 (+ m n))) (* 1/2 (+ m n))) M)) 1))
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(* (pow M 2) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/4 (* (pow (+ m n) 2) (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (* 1/2 (* (+ m n) (+ (* -1/2 (* (+ m n) (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (* 1/4 (pow (+ m n) 2)))))) (* 1/8 (pow (+ m n) 3))) M)) (+ (* -1/2 (* (+ m n) (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (* 1/4 (pow (+ m n) 2)))) M)) (* -1/2 (+ m n))) (* 1/2 (+ m n))) M)) 1))
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(* 1/4 (pow (+ m n) 2))
(.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)))
(+ (* 1/4 (pow (+ m n) 2)) (* 1/2 (* M (+ m n))))
(fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (.f64 #s(literal 1/2 binary64) (*.f64 M (+.f64 n m))))
(+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))
(fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))
(+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))
(fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))
(pow M 2)
(*.f64 M M)
(* (pow M 2) (+ 1 (* 1/2 (/ (+ m n) M))))
(.f64 (.f64 M M) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 n m) M) #s(literal 1 binary64)))
(* (pow M 2) (+ 1 (+ (* 1/4 (/ (pow (+ m n) 2) (pow M 2))) (* 1/2 (/ (+ m n) M)))))
(.f64 (.f64 M M) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 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 (+ (* 1/4 (/ (pow (+ m n) 2) (pow M 2))) (* 1/2 (/ (+ m n) M)))))
(.f64 (.f64 M M) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 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 (* 1/2 (/ (+ m n) M))))
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(* (pow M 2) (+ 1 (* -1 (/ (+ (* -1/2 (+ m n)) (* -1/4 (/ (pow (+ m n) 2) M))) M))))
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(* (pow M 2) (+ 1 (* -1 (/ (+ (* -1/2 (+ m n)) (* -1/4 (/ (pow (+ m n) 2) M))) M))))
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(+ (* 1/4 (pow n 2)) (* M (+ M (* 1/2 n))))
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(* -1/4 (pow m 2))
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(* (pow m 2) (- (+ (* 1/2 (/ M m)) (* 1/2 (/ n m))) (+ 1/4 (* 4 (/ (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M))) m)))))
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(* (pow m 2) (- (+ (* 1/4 (/ (pow n 2) (pow m 2))) (+ (* 1/2 (/ M m)) (+ (* 1/2 (/ n m)) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 n)) (- (* 4 (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M)))) (+ (* 1/2 M) (* 1/2 n)))) (pow m 2))) (+ (/ (fabs (- m n)) (pow m 2)) (/ (* M (+ M (* 1/2 n))) (pow m 2))))))) (+ 1/4 (+ (* 4 (/ (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M))) m)) (+ (* 4 (/ (+ (* 1/16 (+ (* 2 (pow n 2)) (pow n 2))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M)))) (pow m 2))) (/ l (pow m 2)))))))
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(* (pow m 2) (- (+ (* 1/4 (/ (pow n 2) (pow m 2))) (+ (* 1/2 (/ M m)) (+ (* 1/2 (/ n m)) (+ (* 4 (/ (* (+ (* 1/4 (pow n 2)) (* M (+ M (* 1/2 n)))) (- (* 4 (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M)))) (+ (* 1/2 M) (* 1/2 n)))) (pow m 3))) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 n)) (- (* 4 (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M)))) (+ (* 1/2 M) (* 1/2 n)))) (pow m 2))) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 n)) (- (* 4 (+ (* 1/16 (+ (* 2 (pow n 2)) (pow n 2))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M))))) (+ (* 1/4 (pow n 2)) (+ (* 4 (* (+ (* 1/2 M) (* 1/2 n)) (- (* 4 (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M)))) (+ (* 1/2 M) (* 1/2 n))))) (* M (+ M (* 1/2 n))))))) (pow m 3))) (+ (/ (fabs (- m n)) (pow m 2)) (/ (* M (+ M (* 1/2 n))) (pow m 2))))))))) (+ 1/4 (+ (* 4 (/ (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M))) m)) (+ (* 4 (/ (+ (* 1/16 (+ (* 2 (pow n 2)) (pow n 2))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M)))) (pow m 2))) (+ (* 4 (/ (+ (* 1/8 (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* 1/2 n) M))) (* 1/2 (- (* 1/8 (pow n 3)) (pow M 3)))) (pow m 3))) (/ l (pow m 2))))))))
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(* -1/4 (pow m 2))
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(* (pow m 2) (- (* -1 (/ (- (+ (* -1/2 M) (* -1/2 n)) (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n)))))) m)) 1/4))
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(* (pow m 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (fabs (neg (+ n (* -1 m)))) (+ (* 1/4 (pow n 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 n)) (- (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n))))) (+ (* -1/2 M) (* -1/2 n))))) (* M (+ M (* 1/2 n)))))) (+ l (* 4 (+ (* -1/16 (+ (* -2 (pow n 2)) (* -1 (pow n 2)))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M))))))) m)) (+ (* -1/2 M) (* -1/2 n))) (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n)))))) m)) 1/4))
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(* (pow m 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (fabs (neg (+ n (* -1 m)))) (+ (* -1 (/ (- (+ (* 4 (* (+ (* -1/2 M) (* -1/2 n)) (- (* 4 (+ (* -1/16 (+ (* -2 (pow n 2)) (* -1 (pow n 2)))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M))))) (+ (* 1/4 (pow n 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 n)) (- (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n))))) (+ (* -1/2 M) (* -1/2 n))))) (* M (+ M (* 1/2 n)))))))) (* 4 (* (+ (* 1/4 (pow n 2)) (* M (+ M (* 1/2 n)))) (- (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n))))) (+ (* -1/2 M) (* -1/2 n)))))) (* 4 (+ (* -1/2 (- (* 1/8 (pow n 3)) (pow M 3))) (* 1/8 (* (+ (* -2 (pow n 2)) (* -1 (pow n 2))) (- (* 1/2 n) M)))))) m)) (+ (* 1/4 (pow n 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 n)) (- (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n))))) (+ (* -1/2 M) (* -1/2 n))))) (* M (+ M (* 1/2 n))))))) (+ l (* 4 (+ (* -1/16 (+ (* -2 (pow n 2)) (* -1 (pow n 2)))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M))))))) m)) (+ (* -1/2 M) (* -1/2 n))) (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n)))))) m)) 1/4))
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(* -1/4 (pow n 2))
(.f64 (.f64 n n) #s(literal -1/4 binary64))
(* (pow n 2) (- (+ (* 1/2 (/ M n)) (* 1/2 (/ m n))) (+ 1/4 (* 4 (/ (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M))) n)))))
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(* (pow n 2) (- (+ (* 1/4 (/ (pow m 2) (pow n 2))) (+ (* 1/2 (/ M n)) (+ (* 1/2 (/ m n)) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 m)) (- (* 4 (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M)))) (+ (* 1/2 M) (* 1/2 m)))) (pow n 2))) (+ (/ (fabs (- m n)) (pow n 2)) (/ (* M (+ M (* 1/2 m))) (pow n 2))))))) (+ 1/4 (+ (* 4 (/ (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M))) n)) (+ (* 4 (/ (+ (* 1/16 (+ (* 2 (pow m 2)) (pow m 2))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M)))) (pow n 2))) (/ l (pow n 2)))))))
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(* (pow n 2) (- (+ (* 1/4 (/ (pow m 2) (pow n 2))) (+ (* 1/2 (/ M n)) (+ (* 1/2 (/ m n)) (+ (* 4 (/ (* (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))) (- (* 4 (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M)))) (+ (* 1/2 M) (* 1/2 m)))) (pow n 3))) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 m)) (- (* 4 (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M)))) (+ (* 1/2 M) (* 1/2 m)))) (pow n 2))) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 m)) (- (* 4 (+ (* 1/16 (+ (* 2 (pow m 2)) (pow m 2))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M))))) (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* 1/2 M) (* 1/2 m)) (- (* 4 (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M)))) (+ (* 1/2 M) (* 1/2 m))))) (* M (+ M (* 1/2 m))))))) (pow n 3))) (+ (/ (fabs (- m n)) (pow n 2)) (/ (* M (+ M (* 1/2 m))) (pow n 2))))))))) (+ 1/4 (+ (* 4 (/ (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M))) n)) (+ (* 4 (/ (+ (* 1/16 (+ (* 2 (pow m 2)) (pow m 2))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M)))) (pow n 2))) (+ (* 4 (/ (+ (* 1/8 (* (+ (* 2 (pow m 2)) (pow m 2)) (- (* 1/2 m) M))) (* 1/2 (- (* 1/8 (pow m 3)) (pow M 3)))) (pow n 3))) (/ l (pow n 2))))))))
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(* -1/4 (pow n 2))
(.f64 (.f64 n n) #s(literal -1/4 binary64))
(* (pow n 2) (- (* -1 (/ (- (+ (* -1/2 M) (* -1/2 m)) (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m)))))) n)) 1/4))
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(* (pow n 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (fabs (+ m (* -1 n))) (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))))) (* M (+ M (* 1/2 m)))))) (+ l (* 4 (+ (* -1/16 (+ (* -2 (pow m 2)) (* -1 (pow m 2)))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M))))))) n)) (+ (* -1/2 M) (* -1/2 m))) (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m)))))) n)) 1/4))
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(* (pow n 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (fabs (+ m (* -1 n))) (+ (* -1 (/ (- (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/16 (+ (* -2 (pow m 2)) (* -1 (pow m 2)))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M))))) (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))))) (* M (+ M (* 1/2 m)))))))) (* 4 (* (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m)))))) (* 4 (+ (* -1/2 (- (* 1/8 (pow m 3)) (pow M 3))) (* 1/8 (* (+ (* -2 (pow m 2)) (* -1 (pow m 2))) (- (* 1/2 m) M)))))) n)) (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))))) (* M (+ M (* 1/2 m))))))) (+ l (* 4 (+ (* -1/16 (+ (* -2 (pow m 2)) (* -1 (pow m 2)))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M))))))) n)) (+ (* -1/2 M) (* -1/2 m))) (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m)))))) n)) 1/4))
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(- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l))
(- (+ (fabs (- m n)) (* M (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (+ l (* 1/4 (pow (+ m n) 2))))
(-.f64 (fma.f64 M (+.f64 n m) (fabs.f64 (-.f64 n m))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l))
(- (+ (fabs (- m n)) (* M (- (+ (* 1/2 (+ m n)) (* M (+ 1 (* 2 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (+ m n)))))) (* -1/2 (+ m n))))) (+ l (* 1/4 (pow (+ m n) 2))))
(-.f64 (fma.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (fma.f64 M (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (neg.f64 m) n) (+.f64 n m)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 n m)))) (fabs.f64 (-.f64 n m))) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) l))
(- (+ (fabs (- m n)) (* M (- (+ (* 1/2 (+ m n)) (* M (+ 1 (+ (* 2 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (+ m n))) (* M (+ (* -2 (/ (+ 1 (* 2 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (+ m n)))) (+ m n))) (+ (* 2 (/ 1 (+ m n))) (* 4 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (pow (+ m n) 2)))))))))) (* -1/2 (+ m n))))) (+ l (* 1/4 (pow (+ m n) 2))))
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(* -1 (pow M 2))
(neg.f64 (*.f64 M M))
(* (pow M 2) (- (* 1/2 (/ (+ m n) M)) (+ 1 (* -1/2 (/ (+ m n) M)))))
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(* (pow M 2) (- (+ (* 1/4 (/ (pow (+ m n) 2) (pow M 2))) (+ (* 1/2 (/ (* (+ m n) (- (* -1/2 (+ m n)) (* 1/2 (+ m n)))) (pow M 2))) (+ (* 1/2 (/ (+ m n) M)) (/ (fabs (- m n)) (pow M 2))))) (+ 1 (+ (* -1/2 (/ (+ m n) M)) (/ l (pow M 2))))))
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(* (pow M 2) (- (+ (* -1/2 (/ (* (+ m n) (+ (* 1/4 (pow (+ m n) 2)) (* 1/2 (* (+ m n) (- (* -1/2 (+ m n)) (* 1/2 (+ m n))))))) (pow M 3))) (+ (* 1/4 (/ (* (pow (+ m n) 2) (- (* -1/2 (+ m n)) (* 1/2 (+ m n)))) (pow M 3))) (+ (* 1/4 (/ (pow (+ m n) 2) (pow M 2))) (+ (* 1/2 (/ (* (+ m n) (- (* -1/2 (+ m n)) (* 1/2 (+ m n)))) (pow M 2))) (+ (* 1/2 (/ (+ m n) M)) (/ (fabs (- m n)) (pow M 2))))))) (+ 1 (+ (* -1/2 (/ (+ m n) M)) (+ (* -1/8 (/ (pow (+ m n) 3) (pow M 3))) (/ l (pow M 2)))))))
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(* -1 (pow M 2))
(neg.f64 (*.f64 M M))
(* (pow M 2) (- (* -1 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) M)) 1))
(.f64 (.f64 M M) (+.f64 (/.f64 (+.f64 n m) M) #s(literal -1 binary64)))
(* (pow M 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (fabs (- m n)) (+ (* -1/2 (* (+ m n) (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (* 1/4 (pow (+ m n) 2)))) l) M)) (* -1/2 (+ m n))) (* 1/2 (+ m n))) M)) 1))
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(* (pow M 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (fabs (- m n)) (+ (* -1 (/ (- (+ (* 1/4 (* (pow (+ m n) 2) (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (* 1/2 (* (+ m n) (+ (* -1/2 (* (+ m n) (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (* 1/4 (pow (+ m n) 2)))))) (* 1/8 (pow (+ m n) 3))) M)) (+ (* -1/2 (* (+ m n) (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (* 1/4 (pow (+ m n) 2))))) l) M)) (* -1/2 (+ m n))) (* 1/2 (+ m n))) M)) 1))
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(- (fabs (- m n)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))
(-.f64 (fabs.f64 (-.f64 n m)) (.f64 (fma.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))))))
(- (+ (fabs (- m n)) (* -1 l)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))) l))
(- (+ (fabs (- m n)) (* -1 l)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))) l))
(- (+ (fabs (- m n)) (* -1 l)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))) l))
(* -1 l)
(neg.f64 l)
(* l (- (/ (fabs (- m n)) l) (+ 1 (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (* l (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
(.f64 l (-.f64 (/.f64 (fabs.f64 (-.f64 n m)) l) (fma.f64 (fma.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (.f64 l (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))))) #s(literal 1 binary64))))
(* l (- (/ (fabs (- m n)) l) (+ 1 (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (* l (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
(.f64 l (-.f64 (/.f64 (fabs.f64 (-.f64 n m)) l) (fma.f64 (fma.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (.f64 l (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))))) #s(literal 1 binary64))))
(* l (- (/ (fabs (- m n)) l) (+ 1 (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (* l (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
(.f64 l (-.f64 (/.f64 (fabs.f64 (-.f64 n m)) l) (fma.f64 (fma.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (.f64 l (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))))) #s(literal 1 binary64))))
(* -1 l)
(neg.f64 l)
(* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))) l)))))
(.f64 (neg.f64 l) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (fma.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))))) l)))
(* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))) l)))))
(.f64 (neg.f64 l) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (fma.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))))) l)))
(* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))) l)))))
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(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
(.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))) l))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))))))
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(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))))))
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(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))))))
(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 (fma.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))) l)))) (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) (sin.f64 (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))) l)))))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (+.f64 n m) (sin.f64 (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))) l)))))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))) l)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))) l))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
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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 (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (+ (* 1/2 (* M (+ m n))) (pow M 2))))))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (+ (* 1/2 (* M (+ m n))) (pow M 2))))))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (+ (* 1/2 (* M (+ m n))) (pow M 2))))))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (+ (* 1/2 (* M (+ m n))) (pow M 2))))))))
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(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (- (fabs (- m n)) (+ l (/ (* (+ (* -1 M) (* 1/2 (+ m n))) (+ (* -1 (pow M 3)) (* 1/8 (pow (+ m n) 3)))) (+ (* 1/4 (pow (+ m n) 2)) (* M (- (* 1/2 (+ m n)) (* -1 M)))))))))
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(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (- (fabs (- m n)) (+ l (/ (* (+ (* -1 M) (* 1/2 (+ m n))) (+ (* -1 (pow M 3)) (* 1/8 (pow (+ m n) 3)))) (+ (* 1/4 (pow (+ m n) 2)) (* M (- (* 1/2 (+ m n)) (* -1 M)))))))))
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(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (- (fabs (- m n)) (+ l (/ (* (+ (* -1 M) (* 1/2 (+ m n))) (+ (* -1 (pow M 3)) (* 1/8 (pow (+ m n) 3)))) (+ (* 1/4 (pow (+ m n) 2)) (* M (- (* 1/2 (+ m n)) (* -1 M)))))))))
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(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (- (fabs (- m n)) (+ l (/ (* (+ (* -1 M) (* 1/2 (+ m n))) (+ (* -1 (pow M 3)) (* 1/8 (pow (+ m n) 3)))) (+ (* 1/4 (pow (+ m n) 2)) (* M (- (* 1/2 (+ m n)) (* -1 M)))))))))
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(* (pow m 2) (- (/ M m) (+ 1/4 (* 1/2 (/ n m)))))
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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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(* (pow n 2) (- (/ M n) (+ 1/4 (* 1/2 (/ m n)))))
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(- (+ (fabs (- m n)) (* M (+ m n))) (+ l (* 1/4 (pow (+ m n) 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 (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))))
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(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))))
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(+ (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 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 n)) (+ l (* 1/4 (pow (+ m n) 2)))))
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(+ (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 (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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(* 1/4 (pow m 2))
(.f64 #s(literal 1/4 binary64) (.f64 m m))
(* (pow m 2) (- (+ 1/4 (* 4 (/ (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M))) m))) (+ (* 1/2 (/ M m)) (* 1/2 (/ n m)))))
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(* (pow m 2) (- (+ 1/4 (+ (* 4 (/ (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M))) m)) (* 4 (/ (+ (* 1/16 (+ (* 2 (pow n 2)) (pow n 2))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M)))) (pow m 2))))) (+ (* 1/4 (/ (pow n 2) (pow m 2))) (+ (* 1/2 (/ M m)) (+ (* 1/2 (/ n m)) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 n)) (- (* 4 (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M)))) (+ (* 1/2 M) (* 1/2 n)))) (pow m 2))) (/ (* M (+ M (* 1/2 n))) (pow m 2))))))))
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(* (pow m 2) (- (+ 1/4 (+ (* 4 (/ (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M))) m)) (+ (* 4 (/ (+ (* 1/16 (+ (* 2 (pow n 2)) (pow n 2))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M)))) (pow m 2))) (* 4 (/ (+ (* 1/8 (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* 1/2 n) M))) (* 1/2 (- (* 1/8 (pow n 3)) (pow M 3)))) (pow m 3)))))) (+ (* 1/4 (/ (pow n 2) (pow m 2))) (+ (* 1/2 (/ M m)) (+ (* 1/2 (/ n m)) (+ (* 4 (/ (* (+ (* 1/4 (pow n 2)) (* M (+ M (* 1/2 n)))) (- (* 4 (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M)))) (+ (* 1/2 M) (* 1/2 n)))) (pow m 3))) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 n)) (- (* 4 (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M)))) (+ (* 1/2 M) (* 1/2 n)))) (pow m 2))) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 n)) (- (* 4 (+ (* 1/16 (+ (* 2 (pow n 2)) (pow n 2))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M))))) (+ (* 1/4 (pow n 2)) (+ (* 4 (* (+ (* 1/2 M) (* 1/2 n)) (- (* 4 (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M)))) (+ (* 1/2 M) (* 1/2 n))))) (* M (+ M (* 1/2 n))))))) (pow m 3))) (/ (* M (+ M (* 1/2 n))) (pow m 2))))))))))
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(* 1/4 (pow m 2))
(.f64 #s(literal 1/4 binary64) (.f64 m m))
(* (pow m 2) (+ 1/4 (* -1 (/ (- (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n))))) (+ (* -1/2 M) (* -1/2 n))) m))))
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(* (pow m 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (* 4 (+ (* -1/16 (+ (* -2 (pow n 2)) (* -1 (pow n 2)))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M))))) (+ (* 1/4 (pow n 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 n)) (- (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n))))) (+ (* -1/2 M) (* -1/2 n))))) (* M (+ M (* 1/2 n)))))) m)) (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n)))))) (+ (* -1/2 M) (* -1/2 n))) m))))
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(* (pow m 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 4 (+ (* -1/2 (- (* 1/8 (pow n 3)) (pow M 3))) (* 1/8 (* (+ (* -2 (pow n 2)) (* -1 (pow n 2))) (- (* 1/2 n) M))))) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 n)) (- (* 4 (+ (* -1/16 (+ (* -2 (pow n 2)) (* -1 (pow n 2)))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M))))) (+ (* 1/4 (pow n 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 n)) (- (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n))))) (+ (* -1/2 M) (* -1/2 n))))) (* M (+ M (* 1/2 n)))))))) (* 4 (* (+ (* 1/4 (pow n 2)) (* M (+ M (* 1/2 n)))) (- (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n))))) (+ (* -1/2 M) (* -1/2 n))))))) m)) (* 4 (+ (* -1/16 (+ (* -2 (pow n 2)) (* -1 (pow n 2)))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M)))))) (+ (* 1/4 (pow n 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 n)) (- (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n))))) (+ (* -1/2 M) (* -1/2 n))))) (* M (+ M (* 1/2 n)))))) m)) (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n)))))) (+ (* -1/2 M) (* -1/2 n))) m))))
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(/ (* (- (* 1/8 (pow m 3)) (pow M 3)) (- (* 1/2 m) M)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))))
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(* (pow n 2) (- (+ 1/4 (+ (* 4 (/ (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M))) n)) (+ (* 4 (/ (+ (* 1/16 (+ (* 2 (pow m 2)) (pow m 2))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M)))) (pow n 2))) (* 4 (/ (+ (* 1/8 (* (+ (* 2 (pow m 2)) (pow m 2)) (- (* 1/2 m) M))) (* 1/2 (- (* 1/8 (pow m 3)) (pow M 3)))) (pow n 3)))))) (+ (* 1/4 (/ (pow m 2) (pow n 2))) (+ (* 1/2 (/ M n)) (+ (* 1/2 (/ m n)) (+ (* 4 (/ (* (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))) (- (* 4 (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M)))) (+ (* 1/2 M) (* 1/2 m)))) (pow n 3))) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 m)) (- (* 4 (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M)))) (+ (* 1/2 M) (* 1/2 m)))) (pow n 2))) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 m)) (- (* 4 (+ (* 1/16 (+ (* 2 (pow m 2)) (pow m 2))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M))))) (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* 1/2 M) (* 1/2 m)) (- (* 4 (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M)))) (+ (* 1/2 M) (* 1/2 m))))) (* M (+ M (* 1/2 m))))))) (pow n 3))) (/ (* M (+ M (* 1/2 m))) (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 (/ (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))) n))))
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(* (pow n 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (* 4 (+ (* -1/16 (+ (* -2 (pow m 2)) (* -1 (pow m 2)))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M))))) (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))))) (* M (+ M (* 1/2 m)))))) n)) (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m)))))) (+ (* -1/2 M) (* -1/2 m))) n))))
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(* (pow n 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 4 (+ (* -1/2 (- (* 1/8 (pow m 3)) (pow M 3))) (* 1/8 (* (+ (* -2 (pow m 2)) (* -1 (pow m 2))) (- (* 1/2 m) M))))) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/16 (+ (* -2 (pow m 2)) (* -1 (pow m 2)))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M))))) (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))))) (* M (+ M (* 1/2 m)))))))) (* 4 (* (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))))))) n)) (* 4 (+ (* -1/16 (+ (* -2 (pow m 2)) (* -1 (pow m 2)))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M)))))) (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))))) (* M (+ M (* 1/2 m)))))) n)) (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m)))))) (+ (* -1/2 M) (* -1/2 m))) n))))
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(* 1/4 (pow (+ m n) 2))
(.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)))
(+ (* 1/4 (pow (+ m n) 2)) (* M (- (* -1/2 (+ m n)) (* 1/2 (+ m n)))))
(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 (- (+ (* -1 (* M (+ 1 (* 2 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (+ m n)))))) (* -1/2 (+ m n))) (* 1/2 (+ m n)))))
(fma.f64 M (fma.f64 (neg.f64 M) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (neg.f64 m) n) (+.f64 n m)) #s(literal 1 binary64)) (-.f64 (neg.f64 m) n)) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m))))
(+ (* 1/4 (pow (+ m n) 2)) (* M (- (+ (* -1/2 (+ m n)) (* M (- (* -1 (* M (+ (* -2 (/ (+ 1 (* 2 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (+ m n)))) (+ m n))) (+ (* 2 (/ 1 (+ m n))) (* 4 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (pow (+ m n) 2))))))) (+ 1 (* 2 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (+ m n))))))) (* 1/2 (+ m n)))))
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(pow M 2)
(*.f64 M M)
(* (pow M 2) (- (+ 1 (* -1/2 (/ (+ m n) M))) (* 1/2 (/ (+ m n) M))))
(.f64 (.f64 M M) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 n m) M)))
(* (pow M 2) (- (+ 1 (+ (* -1 (/ (+ (* 1/4 (pow (+ m n) 2)) (* 1/2 (* (+ m n) (- (* -1/2 (+ m n)) (* 1/2 (+ m n)))))) (pow M 2))) (* -1/2 (/ (+ m n) M)))) (* 1/2 (/ (+ m n) M))))
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(* (pow M 2) (- (+ 1 (+ (* -1/2 (/ (+ m n) M)) (* -1/8 (/ (pow (+ m n) 3) (pow M 3))))) (+ (* -1/2 (/ (* (+ m n) (+ (* 1/4 (pow (+ m n) 2)) (* 1/2 (* (+ m n) (- (* -1/2 (+ m n)) (* 1/2 (+ m n))))))) (pow M 3))) (+ (* 1/4 (/ (* (pow (+ m n) 2) (- (* -1/2 (+ m n)) (* 1/2 (+ m n)))) (pow M 3))) (+ (* 1/4 (/ (pow (+ m n) 2) (pow M 2))) (+ (* 1/2 (/ (* (+ m n) (- (* -1/2 (+ m n)) (* 1/2 (+ m n)))) (pow M 2))) (* 1/2 (/ (+ m n) M))))))))
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(pow M 2)
(*.f64 M M)
(* (pow M 2) (+ 1 (* -1 (/ (- (* 1/2 (+ m n)) (* -1/2 (+ m n))) M))))
(.f64 (.f64 M M) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 n m) M)))
(* (pow M 2) (+ 1 (* -1 (/ (- (+ (* -1/2 (/ (* (+ m n) (- (* 1/2 (+ m n)) (* -1/2 (+ m n)))) M)) (+ (* 1/4 (/ (pow (+ m n) 2) M)) (* 1/2 (+ m n)))) (* -1/2 (+ m n))) M))))
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(* (pow M 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (+ m n) 3)) (+ (* 1/4 (* (pow (+ m n) 2) (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (* 1/2 (* (+ m n) (+ (* -1/2 (* (+ m n) (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (* 1/4 (pow (+ m n) 2))))))) M)) (+ (* -1/2 (* (+ m n) (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (* 1/4 (pow (+ m n) 2)))) M)) (* 1/2 (+ m n))) (* -1/2 (+ m n))) M))))
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(cos (neg M))
(cos.f64 M)
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(fma.f64 (.f64 K #s(literal -1/2 binary64)) (.f64 (+.f64 n m) (sin.f64 (neg.f64 M))) (cos.f64 M))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(fma.f64 K (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 K (cos.f64 M)) (.f64 (+.f64 n m) (+.f64 n m))) (.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 n m) (sin.f64 (neg.f64 M))))) (cos.f64 M))
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(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
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(.f64 (neg.f64 (.f64 n (.f64 n n))) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 m m) #s(literal -3 binary64)) n) (.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 3 binary64) m))) n)) #s(literal -1/8 binary64)))
(* -1 (* (pow n 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (pow m 3)) (pow M 3)) n)) (* 1/8 (+ (* -2 (pow m 2)) (* -1 (pow m 2))))) n)) (* 1/8 (+ m (* 2 m)))) n)) 1/8)))
(.f64 (neg.f64 (.f64 n (.f64 n n))) (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 #s(literal 3 binary64) m)) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 m m) #s(literal -3 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 m (.f64 m m)) (neg.f64 (.f64 M (.f64 M M)))) n)) n)) n)) #s(literal -1/8 binary64)))
(* 1/8 (pow (+ m n) 3))
(.f64 (.f64 (+.f64 n m) (*.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64))
(+ (* -1 (pow M 3)) (* 1/8 (pow (+ m n) 3)))
(fma.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))
(+ (* -1 (pow M 3)) (* 1/8 (pow (+ m n) 3)))
(fma.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))
(+ (* -1 (pow M 3)) (* 1/8 (pow (+ m n) 3)))
(fma.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))
(* -1 (pow M 3))
(neg.f64 (.f64 M (.f64 M M)))
(* (pow M 3) (- (* 1/8 (/ (pow (+ m n) 3) (pow M 3))) 1))
(.f64 (.f64 M (.f64 M M)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) (.f64 M (*.f64 M M))) #s(literal -1 binary64)))
(* (pow M 3) (- (* 1/8 (/ (pow (+ m n) 3) (pow M 3))) 1))
(.f64 (.f64 M (.f64 M M)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) (.f64 M (*.f64 M M))) #s(literal -1 binary64)))
(* (pow M 3) (- (* 1/8 (/ (pow (+ m n) 3) (pow M 3))) 1))
(.f64 (.f64 M (.f64 M M)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) (.f64 M (*.f64 M M))) #s(literal -1 binary64)))
(* -1 (pow M 3))
(neg.f64 (.f64 M (.f64 M M)))
(* -1 (* (pow M 3) (+ 1 (* -1/8 (/ (pow (+ m n) 3) (pow M 3))))))
(.f64 (neg.f64 (.f64 M (.f64 M M))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) (.f64 M (*.f64 M M))) #s(literal 1 binary64)))
(* -1 (* (pow M 3) (+ 1 (* -1/8 (/ (pow (+ m n) 3) (pow M 3))))))
(.f64 (neg.f64 (.f64 M (.f64 M M))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) (.f64 M (*.f64 M M))) #s(literal 1 binary64)))
(* -1 (* (pow M 3) (+ 1 (* -1/8 (/ (pow (+ m n) 3) (pow M 3))))))
(.f64 (neg.f64 (.f64 M (.f64 M M))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) (.f64 M (*.f64 M M))) #s(literal 1 binary64)))

rewrite356.0ms (2.4%)

Memory

21.8MiB live, 616.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 602×	`lower-fma.f32`
3 594×	`lower-fma.f64`
3 540×	`lower-*.f32`
3 500×	`lower-*.f64`
3 090×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	690
0	130	568
1	436	514
2	3531	514
0	8821	513

Stop Event

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

Counts

30 → 705

Calls

Call 1

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

Outputs
(+.f64 l (+.f64 (neg.f64 (fabs.f64 (-.f64 m n))) (*.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)))))
(+.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (*.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))))
(+.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))) (-.f64 l (fabs.f64 (-.f64 m n))))
(+.f64 (.f64 (+.f64 m n) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)))) (fma.f64 M (-.f64 M (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))
(+.f64 (fma.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)) l) (neg.f64 (fabs.f64 (-.f64 m n))))
(+.f64 (+.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (.f64 (+.f64 m n) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M))))) (.f64 M (-.f64 M (.f64 (+.f64 m n) #s(literal 1/2 binary64)))))
(-.f64 l (-.f64 (fabs.f64 (-.f64 m n)) (*.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)))))
(-.f64 (fma.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)) l) (fabs.f64 (-.f64 m n)))
(-.f64 (/.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (.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))))) (-.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))) (-.f64 l (fabs.f64 (-.f64 m n))))) (/.f64 (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (-.f64 l (fabs.f64 (-.f64 m n)))) (-.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))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(fma.f64 (+.f64 m n) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M))) (fma.f64 M (-.f64 M (.f64 (+.f64 m n) #s(literal 1/2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 m n) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M))) (fma.f64 M (-.f64 M (.f64 (+.f64 m n) #s(literal 1/2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))
(fma.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)) (-.f64 l (fabs.f64 (-.f64 m n))))
(fma.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (.f64 (+.f64 m n) #s(literal 1/2 binary64)) (fma.f64 M (-.f64 M (.f64 (+.f64 m n) #s(literal 1/2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))
(fma.f64 (fma.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1/8 binary64)) (.f64 M (.f64 M 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) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))) (-.f64 l (fabs.f64 (-.f64 m n))))
(fma.f64 (fma.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1/8 binary64)) (.f64 M (.f64 M M))) (/.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))) (-.f64 l (fabs.f64 (-.f64 m n))))
(fma.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (fma.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1/8 binary64)) (.f64 M (.f64 M M)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))) (-.f64 l (fabs.f64 (-.f64 m n))))
(fma.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (fma.f64 M (-.f64 M (.f64 (+.f64 m n) #s(literal 1/2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))
(fma.f64 #s(literal 1 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) (neg.f64 M))) (-.f64 l (fabs.f64 (-.f64 m n))))
(fma.f64 (neg.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (fma.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1/8 binary64)) (.f64 M (.f64 M M))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))) (-.f64 l (fabs.f64 (-.f64 m n))))
(fma.f64 (-.f64 (.f64 l (.f64 l l)) (fabs.f64 (.f64 (-.f64 m n) (.f64 (-.f64 m n) (-.f64 n m))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (fabs.f64 (-.f64 m n))) (.f64 l l))) (.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))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (.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 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1/8 binary64)) (.f64 M (*.f64 M M)))) (-.f64 l (fabs.f64 (-.f64 m n))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (fma.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1/8 binary64)) (.f64 M (*.f64 M M))))) #s(literal -1 binary64)) (-.f64 l (fabs.f64 (-.f64 m n))))
(fma.f64 (-.f64 (.f64 l l) (.f64 (-.f64 m n) (-.f64 m n))) (/.f64 #s(literal 1 binary64) (+.f64 l (fabs.f64 (-.f64 m n)))) (*.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))))
(fma.f64 (.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (.f64 M (neg.f64 M))) (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (*.f64 M (neg.f64 M)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)) #s(literal 2 binary64)) (-.f64 l (fabs.f64 (-.f64 m n))))
(fma.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 (.f64 M (.f64 M M)) (.f64 M (.f64 M M)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))) #s(literal 2 binary64)) (-.f64 l (fabs.f64 (-.f64 m n))))
(fma.f64 (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) (+.f64 m n)) #s(literal 1/2 binary64) (fma.f64 M (-.f64 M (.f64 (+.f64 m n) #s(literal 1/2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))
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(/.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/512 binary64)) (.f64 (.f64 M (.f64 M M)) (.f64 (.f64 M (.f64 M M)) (.f64 M (.f64 M M))))) (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 (.f64 M (.f64 M M)) (fma.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1/8 binary64)) (.f64 M (.f64 M M))))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/512 binary64)) (.f64 (.f64 M (.f64 M M)) (.f64 (.f64 M (.f64 M M)) (.f64 M (.f64 M M))))) (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 (.f64 (.f64 M (.f64 M M)) (.f64 M (.f64 M M))) (.f64 (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) #s(literal 1/8 binary64))) (.f64 M (.f64 M M))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (.f64 M (.f64 M M)) (fma.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1/8 binary64)) (.f64 M (.f64 M M))))) (fma.f64 (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/512 binary64)) (.f64 (.f64 M (.f64 M M)) (.f64 (.f64 M (.f64 M M)) (.f64 M (.f64 M M))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1/8 binary64)) (.f64 M (.f64 M M))) (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 (.f64 M (.f64 M M)) (.f64 M (.f64 M M)))))))
(/.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 (.f64 M (.f64 M M)) (.f64 M (.f64 M M)))) (fma.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1/8 binary64)) (.f64 M (.f64 M M))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/512 binary64)) (.f64 (.f64 M (.f64 M M)) (.f64 (.f64 M (.f64 M M)) (.f64 M (.f64 M M)))))) (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 (.f64 M (.f64 M M)) (fma.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1/8 binary64)) (.f64 M (.f64 M M)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/512 binary64)) (.f64 (.f64 M (.f64 M M)) (.f64 (.f64 M (.f64 M M)) (.f64 M (.f64 M M)))))) (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 (.f64 (.f64 M (.f64 M M)) (.f64 M (.f64 M M))) (.f64 (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) #s(literal 1/8 binary64))) (.f64 M (.f64 M M)))))))
(/.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 (.f64 M (.f64 M M)) (.f64 M (.f64 M M))))) (neg.f64 (fma.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1/8 binary64)) (.f64 M (.f64 M M)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/512 binary64)) (.f64 (.f64 M (.f64 M M)) (.f64 (.f64 M (.f64 M M)) (.f64 M (.f64 M M))))))) (neg.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 (.f64 M (.f64 M M)) (fma.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1/8 binary64)) (.f64 M (.f64 M M))))))))
(/.f64 (neg.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 (.f64 M (.f64 M M)) (.f64 M (.f64 M M)))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1/8 binary64)) (.f64 M (.f64 M M))))))
(pow.f64 (/.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 (.f64 M (.f64 M M)) (fma.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1/8 binary64)) (.f64 M (.f64 M M))))) (fma.f64 (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/512 binary64)) (.f64 (.f64 M (.f64 M M)) (.f64 (.f64 M (.f64 M M)) (.f64 M (.f64 M M)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1/8 binary64)) (.f64 M (.f64 M M))) (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 (.f64 M (.f64 M M)) (.f64 M (.f64 M M))))) #s(literal -1 binary64))
(.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (.f64 M (-.f64 M (.f64 (+.f64 m n) #s(literal 1/2 binary64))))) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))
(.f64 (fma.f64 (+.f64 m n) (.f64 (+.f64 m n) #s(literal 1/4 binary64)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)))
(.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/512 binary64)) (.f64 (.f64 M (.f64 M M)) (.f64 (.f64 M (.f64 M M)) (.f64 M (.f64 M M))))) (/.f64 #s(literal 1 binary64) (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 (.f64 M (.f64 M M)) (fma.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1/8 binary64)) (.f64 M (*.f64 M M)))))))
(.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 (.f64 M (.f64 M M)) (.f64 M (.f64 M M)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1/8 binary64)) (.f64 M (*.f64 M M)))))

eval331.0ms (2.2%)

Memory: 3.4MiB live, 541.4MiB allocated
Compiler: Compiled 127 753 to 5 358 computations (95.8% saved)

prune323.0ms (2.2%)

Memory

32.7MiB live, 542.1MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	2 137	8	2 145
Fresh	4	9	13
Picked	2	3	5
Done	0	0	0
Total	2 143	20	2 163

Accuracy

98.9%

Counts

2 163 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.9%	(.f64 (fma.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 #s(literal 1/2 binary64) K))) (sin.f64 M) (.f64 (cos.f64 M) (cos.f64 (.f64 (+.f64 m n) (.f64 #s(literal 1/2 binary64) K))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 M (neg.f64 M)))))
✓	82.3%	(.f64 (exp.f64 (neg.f64 (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 n (.f64 K #s(literal 1/2 binary64)))) M)))
	32.4%	(*.f64 (cos.f64 (fma.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 m n))) (neg.f64 M))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	17.2%	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (.f64 (+.f64 m n) K)))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	51.1%	(.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))))))
▶	58.6%	(.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	31.2%	(.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 #s(approx (- (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (- l (fabs (- m n)))) (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 m (.f64 m m)) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 M (fma.f64 #s(literal 1/2 binary64) m M) (.f64 #s(literal 1/4 binary64) (.f64 m m)))) l)))))
	33.5%	(.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 #s(approx (- (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (- l (fabs (- m n)))) (.f64 (.f64 n n) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 m m) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 M m)) (fma.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal -1/8 binary64) (.f64 #s(literal -1/16 binary64) (.f64 #s(literal 3 binary64) m))) (.f64 #s(literal 1/2 binary64) (+.f64 M m)))) (.f64 M (fma.f64 #s(literal 1/2 binary64) m M)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 #s(literal 3 binary64) m)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (.f64 #s(literal -1/16 binary64) (.f64 (.f64 m m) #s(literal -3 binary64)))) l))) n)) (fma.f64 #s(literal -1/2 binary64) (+.f64 M m) (.f64 #s(literal -4 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal -1/8 binary64) (.f64 #s(literal -1/16 binary64) (*.f64 #s(literal 3 binary64) m)))))) n)) #s(literal -1/4 binary64))))))
▶	45.2%	(.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 m K))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 M (neg.f64 M)))))
	49.0%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 n (.f64 #s(literal 1/2 binary64) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
	34.8%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 n (.f64 #s(literal 1/2 binary64) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	44.8%	(.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)))) (*.f64 M (neg.f64 M)))))
✓	33.3%	(.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))))
▶	31.7%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 m K)) (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
▶	58.1%	(.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)))))
	56.2%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
	51.5%	(.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)))))
✓	38.2%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	32.4%	(.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)))) (neg.f64 l))))
▶	38.2%	(.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))))

Compiler

Compiled 1 068 to 649 computations (39.2% saved)

simplify254.0ms (1.7%)

Memory

4.5MiB live, 414.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

9 786×	`lower-fma.f32`
9 784×	`lower-fma.f64`
3 462×	`lower-*.f32`
3 428×	`lower-*.f64`
3 310×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	898
0	125	862
1	233	862
2	526	842
3	1687	838
4	7765	838
0	8058	826

Stop Event

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

Calls

Call 1

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

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

localize358.0ms (2.4%)

Memory

8.5MiB live, 630.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	49.0%	(cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M))
✓	accuracy	49.0%	(sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M))
✓	accuracy	45.9%	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 m K)) (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M))))
✓	accuracy	19.3%	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
✓	accuracy	100.0%	(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 M (neg.f64 M))))
✓	accuracy	54.0%	#s(approx (/ (* K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 m K)))
✓	accuracy	35.3%	(cos.f64 (-.f64 #s(approx (/ (* K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 m K))) M))
✓	accuracy	34.9%	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 M (neg.f64 M)))
✓	accuracy	100.0%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
✓	accuracy	100.0%	(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))))
✓	accuracy	37.2%	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
✓	accuracy	35.5%	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
✓	accuracy	60.0%	#s(approx (cos M) #s(literal 1 binary64))
✓	accuracy	37.2%	#s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64)))
✓	accuracy	19.3%	#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
✓	accuracy	100.0%	(exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))
✓	accuracy	53.8%	#s(approx (/ (* K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K)))
✓	accuracy	41.2%	#s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))
✓	accuracy	35.3%	(cos.f64 (-.f64 #s(approx (/ (* K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M))

Samples

228.0ms	209×	1	valid
19.0ms	47×	0	valid

Compiler

Compiled 714 to 67 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-mult: 60.0ms (30.1% of total)

ival-cos: 24.0ms (12% of total)

adjust: 21.0ms (10.5% of total)

ival-add: 18.0ms (9% of total)

ival-sub: 15.0ms (7.5% of total)

ival-sin: 14.0ms (7% of total)

ival-neg: 13.0ms (6.5% of total)

ival-fabs: 13.0ms (6.5% of total)

ival-div: 11.0ms (5.5% of total)

ival-pow2: 5.0ms (2.5% of total)

ival-exp: 3.0ms (1.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series122.0ms (0.8%)

Memory

-15.5MiB live, 218.9MiB allocated

Counts

28 → 1 248

Calls

Call 1

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

Outputs
#s(alt (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))))) (taylor 0 K) (#s(alt (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))) (taylor 0 K) (#s(alt (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))) (taylor 0 K) (#s(alt (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))) (taylor 0 K) (#s(alt (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))))) (taylor inf K) (#s(alt (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))))) (taylor inf K) (#s(alt (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))))) (taylor inf K) (#s(alt (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
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#s(alt (sin (- (* 1/2 (* K n)) M)) (taylor inf n) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (- (* 1/2 (* K n)) M)) (taylor -inf n) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (- (* 1/2 (* K n)) M)) (taylor -inf n) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (- (* 1/2 (* K n)) M)) (taylor -inf n) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (- (* 1/2 (* K n)) M)) (taylor -inf n) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (neg M)) (taylor 0 K) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (+ (sin (neg M)) (* 1/2 (* K (* n (cos (neg M)))))) (taylor 0 K) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (+ (sin (neg M)) (* K (+ (* -1/8 (* K (* (pow n 2) (sin (neg M))))) (* 1/2 (* n (cos (neg M))))))) (taylor 0 K) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (+ (sin (neg M)) (* K (+ (* 1/2 (* n (cos (neg M)))) (* K (+ (* -1/8 (* (pow n 2) (sin (neg M)))) (* -1/48 (* K (* (pow n 3) (cos (neg M)))))))))) (taylor 0 K) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (- (* 1/2 (* K n)) M)) (taylor inf K) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (- (* 1/2 (* K n)) M)) (taylor inf K) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (- (* 1/2 (* K n)) M)) (taylor inf K) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (- (* 1/2 (* K n)) M)) (taylor inf K) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (- (* 1/2 (* K n)) M)) (taylor -inf K) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (- (* 1/2 (* K n)) M)) (taylor -inf K) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (- (* 1/2 (* K n)) M)) (taylor -inf K) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (- (* 1/2 (* K n)) M)) (taylor -inf K) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (* 1/2 (* K n))) (taylor 0 M) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (+ (sin (* 1/2 (* K n))) (* -1 (* M (cos (* 1/2 (* K n)))))) (taylor 0 M) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (+ (sin (* 1/2 (* K n))) (* M (+ (* -1 (cos (* 1/2 (* K n)))) (* -1/2 (* M (sin (* 1/2 (* K n)))))))) (taylor 0 M) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (+ (sin (* 1/2 (* K n))) (* M (+ (* -1 (cos (* 1/2 (* K n)))) (* M (+ (* -1/2 (sin (* 1/2 (* K n)))) (* 1/6 (* M (cos (* 1/2 (* K n)))))))))) (taylor 0 M) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (- (* 1/2 (* K n)) M)) (taylor inf M) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (- (* 1/2 (* K n)) M)) (taylor inf M) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (- (* 1/2 (* K n)) M)) (taylor inf M) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (- (* 1/2 (* K n)) M)) (taylor inf M) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (+ (* -1 M) (* 1/2 (* K n)))) (taylor -inf M) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (+ (* -1 M) (* 1/2 (* K n)))) (taylor -inf M) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (+ (* -1 M) (* 1/2 (* K n)))) (taylor -inf M) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (sin (+ (* -1 M) (* 1/2 (* K n)))) (taylor -inf M) (#s(alt (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (sin.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (neg M)) (taylor 0 n) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (+ (cos (neg M)) (* -1/2 (* K (* n (sin (neg M)))))) (taylor 0 n) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (+ (cos (neg M)) (* n (- (* -1/8 (* (pow K 2) (* n (cos (neg M))))) (* 1/2 (* K (sin (neg M))))))) (taylor 0 n) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (+ (cos (neg M)) (* n (- (* n (+ (* -1/8 (* (pow K 2) (cos (neg M)))) (* 1/48 (* (pow K 3) (* n (sin (neg M))))))) (* 1/2 (* K (sin (neg M))))))) (taylor 0 n) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor inf n) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor inf n) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor inf n) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor inf n) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor -inf n) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor -inf n) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor -inf n) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor -inf n) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (neg M)) (taylor 0 K) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (+ (cos (neg M)) (* -1/2 (* K (* n (sin (neg M)))))) (taylor 0 K) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (+ (cos (neg M)) (* K (- (* -1/8 (* K (* (pow n 2) (cos (neg M))))) (* 1/2 (* n (sin (neg M))))))) (taylor 0 K) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (pow n 2) (cos (neg M)))) (* 1/48 (* K (* (pow n 3) (sin (neg M))))))) (* 1/2 (* n (sin (neg M))))))) (taylor 0 K) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor inf K) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor inf K) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor inf K) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor inf K) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor -inf K) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor -inf K) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor -inf K) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor -inf K) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (* 1/2 (* K n))) (taylor 0 M) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (+ (cos (* 1/2 (* K n))) (* M (sin (* 1/2 (* K n))))) (taylor 0 M) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (+ (cos (* 1/2 (* K n))) (* M (- (* -1/2 (* M (cos (* 1/2 (* K n))))) (* -1 (sin (* 1/2 (* K n))))))) (taylor 0 M) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (+ (cos (* 1/2 (* K n))) (* M (- (* M (+ (* -1/2 (cos (* 1/2 (* K n)))) (* -1/6 (* M (sin (* 1/2 (* K n))))))) (* -1 (sin (* 1/2 (* K n))))))) (taylor 0 M) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor inf M) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor inf M) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor inf M) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K n)) M)) (taylor inf M) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* -1 M) (* 1/2 (* K n)))) (taylor -inf M) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* -1 M) (* 1/2 (* K n)))) (taylor -inf M) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* -1 M) (* 1/2 (* K n)))) (taylor -inf M) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())
#s(alt (cos (+ (* -1 M) (* 1/2 (* K n)))) (taylor -inf M) (#s(alt (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) (patch (cos.f64 (-.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)) M)) #<representation binary64>) () ())) ())

Calls

312 calls:

Time	Variable		Point	Expression
6.0ms	K	@	-inf	(+ (* (* -1/2 (* m K)) (sin (- (* n (* 1/2 K)) M))) (cos (- (* n (* 1/2 K)) M)))
3.0ms	M	@	inf	(+ (* (* -1/2 (* m K)) (sin (- (* n (* 1/2 K)) M))) (cos (- (* n (* 1/2 K)) M)))
2.0ms	M	@	-inf	(cos (- (/ (* K (+ m n)) 2) M))
1.0ms	m	@	0	(exp (- (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (- l (fabs (- m n)))))
1.0ms	m	@	0	(+ (* (* -1/2 (* m K)) (sin (- (* n (* 1/2 K)) M))) (cos (- (* n (* 1/2 K)) M)))

simplify770.0ms (5.2%)

Memory

1.7MiB live, 810.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 622×	`lower-fma.f64`
7 622×	`lower-fma.f32`
5 914×	`lower-+.f64`
5 914×	`lower-+.f32`
5 864×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1602	50158
1	5215	48739
0	8344	46319

Stop Event

1×	iter limit
1×	node limit

Counts

1 248 → 1 248

Calls

Call 1

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

Outputs
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
(.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))))))
(fma.f64 #s(literal -1/2 binary64) (.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l))) (.f64 (+.f64 m n) (sin.f64 (neg.f64 M))))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l)))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))))))
(fma.f64 K (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (cos.f64 M) K) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l))))) (.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l))) (.f64 (+.f64 m n) (sin.f64 (neg.f64 M)))))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l)))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))))))
(fma.f64 K (fma.f64 K (fma.f64 (.f64 #s(literal -1/8 binary64) (cos.f64 M)) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l)))) (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l))) (neg.f64 (.f64 (sin.f64 M) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l))) (.f64 (+.f64 m n) (sin.f64 (neg.f64 M)))))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M))))
(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow n 3)) (pow M 3)) (- (* 1/2 n) M)) (+ (* 1/4 (pow n 2)) (* M (+ M (* 1/2 n)))))))))
(.f64 (cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 n (.f64 n n))) (.f64 M (.f64 M M))) (/.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) M) (fma.f64 M (fma.f64 n #s(literal 1/2 binary64) M) (.f64 #s(literal 1/4 binary64) (*.f64 n n)))) l))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (+ (* 1/2 (* M (+ m n))) (pow M 2))))))))
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(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (- (fabs (- m n)) (+ l (/ (* (+ (* -1 M) (* 1/2 (+ m n))) (+ (* -1 (pow M 3)) (* 1/8 (pow (+ m n) 3)))) (+ (* 1/4 (pow (+ m n) 2)) (* M (- (* 1/2 (+ m n)) (* -1 M)))))))))
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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 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 (+ 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 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 m n) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) l))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 m n) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) l))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))))
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(cos (neg M))
(cos.f64 M)
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) K) (.f64 (+.f64 m n) (sin.f64 (neg.f64 M))) (cos.f64 M))
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(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M)))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(+ (cos (- (* 1/2 (* K n)) M)) (* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M))))))
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(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
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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)))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow M 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 M M) #s(literal 1 binary64))
(+ 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)))
(fma.f64 (.f64 M M) (fma.f64 (.f64 M M) (fma.f64 (*.f64 M M) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos M)
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(cos M)
(cos.f64 M)
(cos M)
(cos.f64 M)
(cos M)
(cos.f64 M)
(cos M)
(cos.f64 M)
(cos M)
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(cos M)
(cos.f64 M)
(cos M)
(cos.f64 M)
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) M) (-.f64 (.f64 n #s(literal 1/2 binary64)) 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))))
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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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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))))
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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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (fma.f64 m #s(literal 1/2 binary64) (neg.f64 M)) (fma.f64 m #s(literal 1/2 binary64) (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)))))
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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) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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))))
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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 m n) (+.f64 m n)) 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 (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))))
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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))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) l)))
(* (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))))))
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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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(+ (* 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))))))
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1
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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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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))))
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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 m n) (+.f64 m n)) 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 m n) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) l)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 m n) (+.f64 m n)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) l)))
(exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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))))))
(.f64 (+.f64 (neg.f64 l) #s(literal 1 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))
(+ (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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) l)))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(+ (* -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 m n) (+.f64 m n)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) l)))) (.f64 (.f64 #s(literal 1/48 binary64) K) (.f64 (neg.f64 (.f64 (sin.f64 M) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) l)))))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (+.f64 m n) (sin.f64 (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) l)))))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) l)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 m n) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) l))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 m n) K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) l))))
(* (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 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 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)) (pow (- (* 1/2 (+ m n)) M) 2))))
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(cos (neg M))
(cos.f64 M)
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K n)) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
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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 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 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)) (pow (- (* 1/2 (+ m n)) M) 2))))
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(cos (neg M))
(cos.f64 M)
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K n)) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 m n) K) (neg.f64 M)))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
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(* -1/4 (pow m 2))
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(* (pow m 2) (- (+ (* 1/2 (/ M m)) (* 1/2 (/ n m))) (+ 1/4 (* 4 (/ (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M))) m)))))
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(* (pow m 2) (- (+ (* 1/4 (/ (pow n 2) (pow m 2))) (+ (* 1/2 (/ M m)) (+ (* 1/2 (/ n m)) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 n)) (- (* 4 (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M)))) (+ (* 1/2 M) (* 1/2 n)))) (pow m 2))) (/ (* M (+ M (* 1/2 n))) (pow m 2)))))) (+ 1/4 (+ (* 4 (/ (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M))) m)) (* 4 (/ (+ (* 1/16 (+ (* 2 (pow n 2)) (pow n 2))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M)))) (pow m 2)))))))
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(* (pow m 2) (- (+ (* 1/4 (/ (pow n 2) (pow m 2))) (+ (* 1/2 (/ M m)) (+ (* 1/2 (/ n m)) (+ (* 4 (/ (* (+ (* 1/4 (pow n 2)) (* M (+ M (* 1/2 n)))) (- (* 4 (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M)))) (+ (* 1/2 M) (* 1/2 n)))) (pow m 3))) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 n)) (- (* 4 (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M)))) (+ (* 1/2 M) (* 1/2 n)))) (pow m 2))) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 n)) (- (* 4 (+ (* 1/16 (+ (* 2 (pow n 2)) (pow n 2))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M))))) (+ (* 1/4 (pow n 2)) (+ (* 4 (* (+ (* 1/2 M) (* 1/2 n)) (- (* 4 (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M)))) (+ (* 1/2 M) (* 1/2 n))))) (* M (+ M (* 1/2 n))))))) (pow m 3))) (/ (* M (+ M (* 1/2 n))) (pow m 2)))))))) (+ 1/4 (+ (* 4 (/ (+ (* 1/16 (+ n (* 2 n))) (* 1/8 (- (* 1/2 n) M))) m)) (+ (* 4 (/ (+ (* 1/16 (+ (* 2 (pow n 2)) (pow n 2))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M)))) (pow m 2))) (* 4 (/ (+ (* 1/8 (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* 1/2 n) M))) (* 1/2 (- (* 1/8 (pow n 3)) (pow M 3)))) (pow m 3))))))))
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(* -1/4 (pow m 2))
(.f64 (.f64 m m) #s(literal -1/4 binary64))
(* (pow m 2) (- (* -1 (/ (- (+ (* -1/2 M) (* -1/2 n)) (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n)))))) m)) 1/4))
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(* (pow m 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow n 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 n)) (- (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n))))) (+ (* -1/2 M) (* -1/2 n))))) (* M (+ M (* 1/2 n))))) (* 4 (+ (* -1/16 (+ (* -2 (pow n 2)) (* -1 (pow n 2)))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M)))))) m)) (+ (* -1/2 M) (* -1/2 n))) (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n)))))) m)) 1/4))
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(* (pow m 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (* (+ (* -1/2 M) (* -1/2 n)) (- (* 4 (+ (* -1/16 (+ (* -2 (pow n 2)) (* -1 (pow n 2)))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M))))) (+ (* 1/4 (pow n 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 n)) (- (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n))))) (+ (* -1/2 M) (* -1/2 n))))) (* M (+ M (* 1/2 n)))))))) (* 4 (* (+ (* 1/4 (pow n 2)) (* M (+ M (* 1/2 n)))) (- (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n))))) (+ (* -1/2 M) (* -1/2 n)))))) (* 4 (+ (* -1/2 (- (* 1/8 (pow n 3)) (pow M 3))) (* 1/8 (* (+ (* -2 (pow n 2)) (* -1 (pow n 2))) (- (* 1/2 n) M)))))) m)) (+ (* 1/4 (pow n 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 n)) (- (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n))))) (+ (* -1/2 M) (* -1/2 n))))) (* M (+ M (* 1/2 n)))))) (* 4 (+ (* -1/16 (+ (* -2 (pow n 2)) (* -1 (pow n 2)))) (* 1/8 (* (+ n (* 2 n)) (- (* 1/2 n) M)))))) m)) (+ (* -1/2 M) (* -1/2 n))) (* 4 (+ (* -1/8 (- (* 1/2 n) M)) (* -1/16 (+ n (* 2 n)))))) m)) 1/4))
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(* -1 (/ (* (- (* 1/8 (pow m 3)) (pow M 3)) (- (* 1/2 m) M)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m))))))
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(- (* n (- (/ (* (+ (* 1/2 M) (* 1/2 m)) (* (- (* 1/8 (pow m 3)) (pow M 3)) (- (* 1/2 m) M))) (pow (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))) 2)) (+ (* 1/8 (/ (* (+ (* 2 (pow m 2)) (pow m 2)) (- (* 1/2 m) M)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))))) (* 1/2 (/ (- (* 1/8 (pow m 3)) (pow M 3)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m))))))))) (/ (* (- (* 1/8 (pow m 3)) (pow M 3)) (- (* 1/2 m) M)) (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m))))))
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(* -1/4 (pow n 2))
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(* (pow n 2) (- (+ (* 1/4 (/ (pow m 2) (pow n 2))) (+ (* 1/2 (/ M n)) (+ (* 1/2 (/ m n)) (+ (* 4 (/ (* (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))) (- (* 4 (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M)))) (+ (* 1/2 M) (* 1/2 m)))) (pow n 3))) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 m)) (- (* 4 (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M)))) (+ (* 1/2 M) (* 1/2 m)))) (pow n 2))) (+ (* 4 (/ (* (+ (* 1/2 M) (* 1/2 m)) (- (* 4 (+ (* 1/16 (+ (* 2 (pow m 2)) (pow m 2))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M))))) (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* 1/2 M) (* 1/2 m)) (- (* 4 (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M)))) (+ (* 1/2 M) (* 1/2 m))))) (* M (+ M (* 1/2 m))))))) (pow n 3))) (/ (* M (+ M (* 1/2 m))) (pow n 2)))))))) (+ 1/4 (+ (* 4 (/ (+ (* 1/16 (+ m (* 2 m))) (* 1/8 (- (* 1/2 m) M))) n)) (+ (* 4 (/ (+ (* 1/16 (+ (* 2 (pow m 2)) (pow m 2))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M)))) (pow n 2))) (* 4 (/ (+ (* 1/8 (* (+ (* 2 (pow m 2)) (pow m 2)) (- (* 1/2 m) M))) (* 1/2 (- (* 1/8 (pow m 3)) (pow M 3)))) (pow n 3))))))))
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(* -1/4 (pow n 2))
(.f64 (.f64 n n) #s(literal -1/4 binary64))
(* (pow n 2) (- (* -1 (/ (- (+ (* -1/2 M) (* -1/2 m)) (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m)))))) n)) 1/4))
(.f64 (.f64 n n) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 M m) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) m) #s(literal -1/16 binary64) (*.f64 #s(literal -1/8 binary64) (fma.f64 m #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -4 binary64))) (neg.f64 n)) #s(literal -1/4 binary64)))
(* (pow n 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))))) (* M (+ M (* 1/2 m))))) (* 4 (+ (* -1/16 (+ (* -2 (pow m 2)) (* -1 (pow m 2)))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M)))))) n)) (+ (* -1/2 M) (* -1/2 m))) (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m)))))) n)) 1/4))
(.f64 (.f64 n n) (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 m m) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 M m))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal 3 binary64) m) #s(literal -1/16 binary64) (.f64 #s(literal -1/8 binary64) (fma.f64 m #s(literal 1/2 binary64) (neg.f64 M)))) (.f64 #s(literal 1/2 binary64) (+.f64 M m))) (.f64 M (fma.f64 m #s(literal 1/2 binary64) M)))) (.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (fma.f64 m #s(literal 1/2 binary64) (neg.f64 M)) (.f64 #s(literal 3 binary64) m)) (.f64 #s(literal -1/16 binary64) (.f64 (.f64 m m) #s(literal -3 binary64)))) #s(literal -4 binary64))) (neg.f64 n)) (fma.f64 #s(literal -1/2 binary64) (+.f64 M m) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) m) #s(literal -1/16 binary64) (.f64 #s(literal -1/8 binary64) (fma.f64 m #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -4 binary64)))) (neg.f64 n)) #s(literal -1/4 binary64)))
(* (pow n 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/16 (+ (* -2 (pow m 2)) (* -1 (pow m 2)))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M))))) (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))))) (* M (+ M (* 1/2 m)))))))) (* 4 (* (+ (* 1/4 (pow m 2)) (* M (+ M (* 1/2 m)))) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m)))))) (* 4 (+ (* -1/2 (- (* 1/8 (pow m 3)) (pow M 3))) (* 1/8 (* (+ (* -2 (pow m 2)) (* -1 (pow m 2))) (- (* 1/2 m) M)))))) n)) (+ (* 1/4 (pow m 2)) (+ (* 4 (* (+ (* -1/2 M) (* -1/2 m)) (- (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m))))) (+ (* -1/2 M) (* -1/2 m))))) (* M (+ M (* 1/2 m)))))) (* 4 (+ (* -1/16 (+ (* -2 (pow m 2)) (* -1 (pow m 2)))) (* 1/8 (* (+ m (* 2 m)) (- (* 1/2 m) M)))))) n)) (+ (* -1/2 M) (* -1/2 m))) (* 4 (+ (* -1/8 (- (* 1/2 m) M)) (* -1/16 (+ m (* 2 m)))))) n)) 1/4))
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(* -1/4 (pow (+ m n) 2))
(.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal -1/4 binary64))
(- (* M (- (* 1/2 (+ m n)) (* -1/2 (+ m n)))) (* 1/4 (pow (+ m n) 2)))
(fma.f64 M (+.f64 m n) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal -1/4 binary64)))
(- (* M (- (+ (* 1/2 (+ m n)) (* M (+ 1 (* 2 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (+ m n)))))) (* -1/2 (+ m n)))) (* 1/4 (pow (+ m n) 2)))
(fma.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (fma.f64 M (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (neg.f64 m) n) (+.f64 m n)) #s(literal 1 binary64)) (.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (.f64 (*.f64 (+.f64 m n) (+.f64 m n)) #s(literal -1/4 binary64)))
(- (* M (- (+ (* 1/2 (+ m n)) (* M (+ 1 (+ (* 2 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (+ m n))) (* M (+ (* -2 (/ (+ 1 (* 2 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (+ m n)))) (+ m n))) (+ (* 2 (/ 1 (+ m n))) (* 4 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) (pow (+ m n) 2)))))))))) (* -1/2 (+ m n)))) (* 1/4 (pow (+ m n) 2)))
(fma.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (+.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 M (fma.f64 M (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (neg.f64 m) n) (+.f64 m n)) #s(literal 1 binary64)) (+.f64 m n)) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (neg.f64 m) n) (.f64 (+.f64 m n) (+.f64 m n))) (/.f64 #s(literal 2 binary64) (+.f64 m n)))) (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (neg.f64 m) n)) (+.f64 m n)))))) (.f64 (*.f64 (+.f64 m n) (+.f64 m n)) #s(literal -1/4 binary64)))
(* -1 (pow M 2))
(*.f64 M (neg.f64 M))
(* (pow M 2) (- (* 1/2 (/ (+ m n) M)) (+ 1 (* -1/2 (/ (+ m n) M)))))
(.f64 (.f64 M M) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 m n) M) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(* (pow M 2) (- (+ (* 1/4 (/ (pow (+ m n) 2) (pow M 2))) (+ (* 1/2 (/ (* (+ m n) (- (* -1/2 (+ m n)) (* 1/2 (+ m n)))) (pow M 2))) (* 1/2 (/ (+ m n) M)))) (+ 1 (* -1/2 (/ (+ m n) M)))))
(.f64 (.f64 M M) (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 m n) (/.f64 (-.f64 (neg.f64 m) n) (.f64 M M)) (/.f64 (+.f64 m n) M)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 M M))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 m n) M) #s(literal 1 binary64))))
(* (pow M 2) (- (+ (* -1/2 (/ (* (+ m n) (+ (* 1/4 (pow (+ m n) 2)) (* 1/2 (* (+ m n) (- (* -1/2 (+ m n)) (* 1/2 (+ m n))))))) (pow M 3))) (+ (* 1/4 (/ (* (pow (+ m n) 2) (- (* -1/2 (+ m n)) (* 1/2 (+ m n)))) (pow M 3))) (+ (* 1/4 (/ (pow (+ m n) 2) (pow M 2))) (+ (* 1/2 (/ (* (+ m n) (- (* -1/2 (+ m n)) (* 1/2 (+ m n)))) (pow M 2))) (* 1/2 (/ (+ m n) M)))))) (+ 1 (+ (* -1/2 (/ (+ m n) M)) (* -1/8 (/ (pow (+ m n) 3) (pow M 3)))))))
(.f64 (.f64 M M) (-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (+.f64 m n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 (+.f64 m n) (+.f64 m n))) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)))) (.f64 M (.f64 M M)))) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (+.f64 m n) (+.f64 m n)) (/.f64 (-.f64 (neg.f64 m) n) (.f64 M (.f64 M M))) (/.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 M M))) (.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 m n) (/.f64 (-.f64 (neg.f64 m) n) (.f64 M M)) (/.f64 (+.f64 m n) M))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 M (.f64 M M))) (/.f64 (.f64 (+.f64 m n) #s(literal -1/2 binary64)) M)))))
(* -1 (pow M 2))
(*.f64 M (neg.f64 M))
(* (pow M 2) (- (* -1 (/ (- (* -1/2 (+ m n)) (* 1/2 (+ m n))) M)) 1))
(.f64 (.f64 M M) (+.f64 (/.f64 (+.f64 m n) M) #s(literal -1 binary64)))
(* (pow M 2) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* (+ m n) (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (* 1/4 (pow (+ m n) 2))) M)) (* -1/2 (+ m n))) (* 1/2 (+ m n))) M)) 1))
(.f64 (.f64 M M) (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (*.f64 (+.f64 m n) (+.f64 m n)) #s(literal -1/2 binary64))) (neg.f64 M)) (+.f64 m n)) (neg.f64 M)) #s(literal -1 binary64)))
(* (pow M 2) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/4 (* (pow (+ m n) 2) (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (* 1/2 (* (+ m n) (+ (* -1/2 (* (+ m n) (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (* 1/4 (pow (+ m n) 2)))))) (* 1/8 (pow (+ m n) 3))) M)) (+ (* -1/2 (* (+ m n) (- (* 1/2 (+ m n)) (* -1/2 (+ m n))))) (* 1/4 (pow (+ m n) 2)))) M)) (* -1/2 (+ m n))) (* 1/2 (+ m n))) M)) 1))
(.f64 (.f64 M M) (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 m n) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (.f64 (+.f64 m n) (+.f64 m n)) #s(literal -1/2 binary64)))) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal -1/8 binary64)))) M)) (neg.f64 M)) (+.f64 m n)) (neg.f64 M)) #s(literal -1 binary64)))
(exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow n 3)) (pow M 3)) (- (* 1/2 n) M)) (+ (* 1/4 (pow n 2)) (* M (+ M (* 1/2 n))))))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 n (.f64 n n))) (.f64 M (.f64 M M))) (/.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) M) (fma.f64 M (fma.f64 n #s(literal 1/2 binary64) M) (.f64 #s(literal 1/4 binary64) (.f64 n n)))) l)))
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(exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (+ (* 1/2 (* M (+ m n))) (pow M 2)))))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.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)) (fma.f64 #s(literal 1/2 binary64) (.f64 M (+.f64 m n)) (.f64 M M)))) l)))
(exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (+ (* 1/2 (* M (+ m n))) (pow M 2)))))))
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(exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (+ (* 1/2 (* M (+ m n))) (pow M 2)))))))
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(exp (- (fabs (- m n)) (+ l (/ (* (+ (* -1 M) (* 1/2 (+ m n))) (+ (* -1 (pow M 3)) (* 1/8 (pow (+ m n) 3)))) (+ (* 1/4 (pow (+ m n) 2)) (* M (- (* 1/2 (+ m n)) (* -1 M))))))))
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(exp (- (fabs (- m n)) (+ l (/ (* (+ (* -1 M) (* 1/2 (+ m n))) (+ (* -1 (pow M 3)) (* 1/8 (pow (+ m n) 3)))) (+ (* 1/4 (pow (+ m n) 2)) (* M (- (* 1/2 (+ m n)) (* -1 M))))))))
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(exp (- (fabs (- m n)) (+ l (/ (* (+ (* -1 M) (* 1/2 (+ m n))) (+ (* -1 (pow M 3)) (* 1/8 (pow (+ m n) 3)))) (+ (* 1/4 (pow (+ m n) 2)) (* M (- (* 1/2 (+ m n)) (* -1 M))))))))
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(exp (- (fabs (- m n)) (+ l (/ (* (+ (* -1 M) (* 1/2 (+ m n))) (+ (* -1 (pow M 3)) (* 1/8 (pow (+ m n) 3)))) (+ (* 1/4 (pow (+ m n) 2)) (* M (- (* 1/2 (+ m n)) (* -1 M))))))))
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(exp (- (fabs (- m n)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))
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(+ (exp (- (fabs (- m n)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))) (* -1 (* l (exp (- (fabs (- m n)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))))))
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(+ (exp (- (fabs (- m n)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))) (* l (+ (* -1 (exp (- (fabs (- m n)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (* 1/2 (* l (exp (- (fabs (- m n)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))))))))
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(+ (exp (- (fabs (- m n)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))) (* l (+ (* -1 (exp (- (fabs (- m n)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))) (* l (+ (* -1/6 (* l (exp (- (fabs (- m n)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))))) (* 1/2 (exp (- (fabs (- m n)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))))))))
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(exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))))
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(exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l)))
(exp (- (fabs (- m n)) (+ l (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n)))))))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l)))
(exp (- (+ (fabs (- m n)) (* -1 l)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l)))
(exp (- (+ (fabs (- m n)) (* -1 l)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (-.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))))) l)))
(exp (- (+ (fabs (- m n)) (* -1 l)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))
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(exp (- (+ (fabs (- m n)) (* -1 l)) (/ (* (- (* 1/8 (pow (+ m n) 3)) (pow M 3)) (- (* 1/2 (+ m n)) M)) (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* 1/2 (+ m n))))))))
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(- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) M) (-.f64 (.f64 n #s(literal 1/2 binary64)) 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 n #s(literal 1/2 binary64)) M) (-.f64 (*.f64 n #s(literal 1/2 binary64)) 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 M (fma.f64 m #s(literal -1/4 binary64) (.f64 n #s(literal -1/2 binary64)))) (fabs.f64 (-.f64 n m))) (fma.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) M) (-.f64 (*.f64 n #s(literal 1/2 binary64)) 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 M (fma.f64 m #s(literal -1/4 binary64) (.f64 n #s(literal -1/2 binary64)))) (fabs.f64 (-.f64 n m))) (fma.f64 (-.f64 (.f64 n #s(literal 1/2 binary64)) M) (-.f64 (*.f64 n #s(literal 1/2 binary64)) 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))))
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(.f64 (+.f64 (neg.f64 l) #s(literal 1 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))
(+ (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))))))))
(fma.f64 l (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))) (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))
(+ (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)))))))))
(fma.f64 (+.f64 (neg.f64 l) #s(literal 1 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n 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 l (.f64 l (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))) (fma.f64 #s(literal -1/6 binary64) l #s(literal 1/2 binary64))))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) 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 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) l)))
(sin (neg M))
(sin.f64 (neg.f64 M))
(+ (sin (neg M)) (* 1/2 (* K (* n (cos (neg M))))))
(fma.f64 #s(literal 1/2 binary64) (.f64 K (.f64 (cos.f64 M) n)) (sin.f64 (neg.f64 M)))
(+ (sin (neg M)) (* n (+ (* -1/8 (* (pow K 2) (* n (sin (neg M))))) (* 1/2 (* K (cos (neg M)))))))
(fma.f64 n (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (neg.f64 (.f64 (sin.f64 M) n)) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 M) K))) (sin.f64 (neg.f64 M)))
(+ (sin (neg M)) (* n (+ (* 1/2 (* K (cos (neg M)))) (* n (+ (* -1/8 (* (pow K 2) (sin (neg M)))) (* -1/48 (* (pow K 3) (* n (cos (neg M))))))))))
(fma.f64 n (fma.f64 n (fma.f64 #s(literal -1/8 binary64) (.f64 (sin.f64 (neg.f64 M)) (.f64 K K)) (.f64 #s(literal -1/48 binary64) (.f64 (.f64 K (.f64 K K)) (.f64 (cos.f64 M) n)))) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 M) K))) (sin.f64 (neg.f64 M)))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (neg M))
(sin.f64 (neg.f64 M))
(+ (sin (neg M)) (* 1/2 (* K (* n (cos (neg M))))))
(fma.f64 #s(literal 1/2 binary64) (.f64 K (.f64 (cos.f64 M) n)) (sin.f64 (neg.f64 M)))
(+ (sin (neg M)) (* K (+ (* -1/8 (* K (* (pow n 2) (sin (neg M))))) (* 1/2 (* n (cos (neg M)))))))
(fma.f64 K (fma.f64 (.f64 #s(literal -1/8 binary64) K) (.f64 (sin.f64 (neg.f64 M)) (.f64 n n)) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 M) n))) (sin.f64 (neg.f64 M)))
(+ (sin (neg M)) (* K (+ (* 1/2 (* n (cos (neg M)))) (* K (+ (* -1/8 (* (pow n 2) (sin (neg M)))) (* -1/48 (* K (* (pow n 3) (cos (neg M))))))))))
(fma.f64 K (fma.f64 K (fma.f64 #s(literal -1/8 binary64) (.f64 (sin.f64 (neg.f64 M)) (.f64 n n)) (.f64 #s(literal -1/48 binary64) (.f64 (.f64 K (.f64 n (.f64 n n))) (cos.f64 M)))) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 M) n))) (sin.f64 (neg.f64 M)))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (* 1/2 (* K n)))
(sin.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n))
(+ (sin (* 1/2 (* K n))) (* -1 (* M (cos (* 1/2 (* K n))))))
(fma.f64 (neg.f64 M) (cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n)) (sin.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n)))
(+ (sin (* 1/2 (* K n))) (* M (+ (* -1 (cos (* 1/2 (* K n)))) (* -1/2 (* M (sin (* 1/2 (* K n))))))))
(fma.f64 M (-.f64 (.f64 (.f64 M #s(literal -1/2 binary64)) (sin.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n))) (cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n))) (sin.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n)))
(+ (sin (* 1/2 (* K n))) (* M (+ (* -1 (cos (* 1/2 (* K n)))) (* M (+ (* -1/2 (sin (* 1/2 (* K n)))) (* 1/6 (* M (cos (* 1/2 (* K n))))))))))
(fma.f64 M (fma.f64 M (fma.f64 #s(literal -1/2 binary64) (sin.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n)) (.f64 (.f64 #s(literal 1/6 binary64) M) (cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n)))) (neg.f64 (cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n)))) (sin.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n)))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (- (* 1/2 (* K n)) M))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (+ (* -1 M) (* 1/2 (* K n))))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (+ (* -1 M) (* 1/2 (* K n))))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (+ (* -1 M) (* 1/2 (* K n))))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(sin (+ (* -1 M) (* 1/2 (* K n))))
(sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (neg M))
(cos.f64 M)
(+ (cos (neg M)) (* -1/2 (* K (* n (sin (neg M))))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 n K) (sin.f64 (neg.f64 M))) (cos.f64 M))
(+ (cos (neg M)) (* n (- (* -1/8 (* (pow K 2) (* n (cos (neg M))))) (* 1/2 (* K (sin (neg M)))))))
(fma.f64 n (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) (.f64 (cos.f64 M) n)) (.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (sin.f64 M) K)))) (cos.f64 M))
(+ (cos (neg M)) (* n (- (* n (+ (* -1/8 (* (pow K 2) (cos (neg M)))) (* 1/48 (* (pow K 3) (* n (sin (neg M))))))) (* 1/2 (* K (sin (neg M)))))))
(fma.f64 n (fma.f64 n (fma.f64 (.f64 #s(literal 1/48 binary64) (.f64 K (.f64 K K))) (neg.f64 (.f64 (sin.f64 M) n)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (cos.f64 M))) (.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (sin.f64 M) K)))) (cos.f64 M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (neg M))
(cos.f64 M)
(+ (cos (neg M)) (* -1/2 (* K (* n (sin (neg M))))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 n K) (sin.f64 (neg.f64 M))) (cos.f64 M))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (pow n 2) (cos (neg M))))) (* 1/2 (* n (sin (neg M)))))))
(fma.f64 K (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 K (.f64 n n)) (cos.f64 M)) (.f64 (*.f64 n #s(literal -1/2 binary64)) (sin.f64 (neg.f64 M)))) (cos.f64 M))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (pow n 2) (cos (neg M)))) (* 1/48 (* K (* (pow n 3) (sin (neg M))))))) (* 1/2 (* n (sin (neg M)))))))
(fma.f64 K (fma.f64 K (fma.f64 #s(literal 1/48 binary64) (.f64 (.f64 K (.f64 n (.f64 n n))) (sin.f64 (neg.f64 M))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 n n)) (cos.f64 M))) (.f64 (*.f64 n #s(literal -1/2 binary64)) (sin.f64 (neg.f64 M)))) (cos.f64 M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (* 1/2 (* K n)))
(cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n))
(+ (cos (* 1/2 (* K n))) (* M (sin (* 1/2 (* K n)))))
(fma.f64 M (sin.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n)) (cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n)))
(+ (cos (* 1/2 (* K n))) (* M (- (* -1/2 (* M (cos (* 1/2 (* K n))))) (* -1 (sin (* 1/2 (* K n)))))))
(fma.f64 M (fma.f64 (.f64 M #s(literal -1/2 binary64)) (cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n)) (sin.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n))) (cos.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) n)))
(+ (cos (* 1/2 (* K n))) (* M (- (* M (+ (* -1/2 (cos (* 1/2 (* K n)))) (* -1/6 (* M (sin (* 1/2 (* K n))))))) (* -1 (sin (* 1/2 (* K n)))))))
(fma.f64 M (fma.f64 M (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n)) (.f64 (.f64 #s(literal -1/6 binary64) M) (sin.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n)))) (sin.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n))) (cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n)))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (- (* 1/2 (* K n)) M))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (+ (* -1 M) (* 1/2 (* K n))))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (+ (* -1 M) (* 1/2 (* K n))))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (+ (* -1 M) (* 1/2 (* K n))))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))
(cos (+ (* -1 M) (* 1/2 (* K n))))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) n) M))

rewrite553.0ms (3.7%)

Memory

-6.6MiB live, 428.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 010×	`lower-*.f32`
3 976×	`lower-*.f64`
3 694×	`lower-fma.f32`
3 692×	`lower-fma.f64`
3 066×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	88	699
0	125	666
1	442	582
2	3401	582
0	8729	582

Stop Event

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

Counts

28 → 224

Calls

Call 1

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

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

eval328.0ms (2.2%)

Memory: 12.7MiB live, 283.8MiB allocated
Compiler: Compiled 79 314 to 2 397 computations (97% saved)

prune360.0ms (2.4%)

Memory

3.3MiB live, 319.4MiB allocated

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	1 562	8	1 570
Fresh	3	9	12
Picked	3	2	5
Done	1	2	3
Total	1 569	21	1 590

Accuracy

98.9%

Counts

1 590 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.2%	(.f64 (fma.f64 (sin.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 m (.f64 K #s(literal 1/2 binary64))))) (sin.f64 M) (.f64 (cos.f64 M) (cos.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 m (.f64 K #s(literal 1/2 binary64))))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 M (neg.f64 M)))))
✓	82.3%	(.f64 (exp.f64 (neg.f64 (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 n (.f64 K #s(literal 1/2 binary64)))) M)))
	32.4%	(*.f64 (cos.f64 (fma.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 m n))) (neg.f64 M))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	17.2%	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (.f64 (+.f64 m n) K)))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	51.1%	(.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))))))
	58.6%	(.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 l (fabs.f64 (-.f64 m n))) #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))))
	31.2%	(.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 #s(approx (- (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (- l (fabs (- m n)))) (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 m (.f64 m m)) (neg.f64 (.f64 M (.f64 M M)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (fma.f64 M (fma.f64 #s(literal 1/2 binary64) m M) (.f64 #s(literal 1/4 binary64) (.f64 m m)))) l)))))
	33.5%	(.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 #s(approx (- (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (- l (fabs (- m n)))) (.f64 (.f64 n n) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 m m) (fma.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 M m)) (fma.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal -1/8 binary64) (.f64 #s(literal -1/16 binary64) (.f64 #s(literal 3 binary64) m))) (.f64 #s(literal 1/2 binary64) (+.f64 M m)))) (.f64 M (fma.f64 #s(literal 1/2 binary64) m M)))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 #s(literal 3 binary64) m)) (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) (.f64 #s(literal -1/16 binary64) (.f64 (.f64 m m) #s(literal -3 binary64)))) l))) n)) (fma.f64 #s(literal -1/2 binary64) (+.f64 M m) (.f64 #s(literal -4 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal -1/8 binary64) (.f64 #s(literal -1/16 binary64) (*.f64 #s(literal 3 binary64) m)))))) n)) #s(literal -1/4 binary64))))))
✓	45.2%	(.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 m K))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 M (neg.f64 M)))))
	58.6%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 #s(literal 1/2 binary64) K) n))) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	49.0%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 n (.f64 #s(literal 1/2 binary64) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
	34.8%	(.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 n (.f64 #s(literal 1/2 binary64) K)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	44.8%	(.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)))) (*.f64 M (neg.f64 M)))))
✓	33.3%	(.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))))
	51.5%	(.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)))))
	28.2%	(.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (+ (* (* -1/2 (* m K)) (sin (- (* n (* 1/2 K)) M))) (cos (- (* n (* 1/2 K)) M))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 m K) (sin.f64 (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) n) M)))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
	58.1%	(.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)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
	56.2%	(.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)))))
	50.9%	(.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 M M) (+.f64 (/.f64 m M) (+.f64 (/.f64 n M) #s(literal -1 binary64)))))))
	51.3%	(.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)))))
✓	38.2%	(.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))))

Compiler

Compiled 1 810 to 629 computations (65.2% saved)

regimes143.0ms (1%)

Memory

-7.9MiB live, 119.2MiB allocated

Counts

44 → 1

Calls

Call 1

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

Outputs

(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (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:

54.0ms	M
25.0ms	m
25.0ms	K
13.0ms	l
13.0ms	n

Results

Accuracy	Segments	Branch
97.4%	1	`K`
97.4%	1	`m`
97.4%	1	`n`
97.4%	1	`M`
97.4%	1	`l`
97.4%	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)

regimes109.0ms (0.7%)

Memory

27.1MiB live, 100.1MiB allocated

Counts

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

Outputs

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

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

Calls

6 calls:

49.0ms	m
20.0ms	(.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))))))
10.0ms	K
10.0ms	l
10.0ms	n

Results

Accuracy	Segments	Branch
86.3%	3	`K`
90.2%	3	`m`
95.6%	2	`n`
90.7%	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))))))`
86.6%	2	`M`
84.7%	2	`l`

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes50.0ms (0.3%)

Memory

7.6MiB live, 45.6MiB allocated

Counts

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

Outputs

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

Calls

2 calls:

41.0ms

7.0ms

(*.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
68.6%	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))))))`
89.2%	2	`n`

Compiler

Compiled 40 to 26 computations (35% saved)

regimes55.0ms (0.4%)

Memory

-16.9MiB live, 23.9MiB allocated

Counts

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

Outputs

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

Calls

1 calls:

53.0ms

Results

Accuracy	Segments	Branch
89.2%	2	`n`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes65.0ms (0.4%)

Memory

26.1MiB live, 65.4MiB allocated

Counts

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

Outputs

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

Calls

5 calls:

38.0ms	m
6.0ms	M
6.0ms	l
6.0ms	K
6.0ms	n

Results

Accuracy	Segments	Branch
75.0%	3	`l`
60.0%	2	`K`
78.8%	3	`M`
80.4%	3	`m`
83.3%	3	`n`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes36.0ms (0.2%)

Memory

-25.3MiB live, 12.8MiB allocated

Counts

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

35.0ms

Results

Accuracy	Segments	Branch
83.2%	3	`n`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes4.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
83.2%	3	`n`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

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

3.0ms

Results

Accuracy	Segments	Branch
83.2%	3	`n`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes6.0ms (0%)

Memory

13.4MiB live, 13.4MiB 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	n
2.0ms	m
2.0ms	M

Results

Accuracy	Segments	Branch
75.9%	3	`M`
77.7%	4	`m`
61.3%	3	`n`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes27.0ms (0.2%)

Memory

-28.1MiB live, 11.5MiB 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

3 calls:

23.0ms	m
2.0ms	M
2.0ms	l

Results

Accuracy	Segments	Branch
66.0%	2	`l`
71.3%	3	`M`
51.3%	1	`m`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes8.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB 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	n
1.0ms	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
1.0ms	m
1.0ms	K
1.0ms	M

Results

Accuracy	Segments	Branch
38.2%	1	`m`
38.2%	1	`n`
38.2%	1	`K`
38.2%	1	`l`
38.2%	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))))))`
38.2%	1	`M`

Compiler

Compiled 64 to 46 computations (28.1% saved)

bsearch44.0ms (0.3%)

Memory

-33.8MiB live, 49.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
39.0ms	1.8354258526059502e-5	72.15395549005893

Samples

28.0ms	110×	0	valid
5.0ms	18×	1	valid

Compiler

Compiled 485 to 293 computations (39.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sub: 18.0ms (62.1% of total)

ival-div: 2.0ms (6.9% of total)

ival-mult: 2.0ms (6.9% of total)

ival-add: 1.0ms (3.4% of total)

adjust: 1.0ms (3.4% of total)

ival-exp: 1.0ms (3.4% of total)

ival-cos: 1.0ms (3.4% of total)

ival-fabs: 1.0ms (3.4% of total)

ival-pow2: 1.0ms (3.4% of total)

ival-neg: 1.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.8354258526059502e-5	72.15395549005893

Samples

5.0ms	40×	0	valid
2.0ms	8×	1	valid

Compiler

Compiled 460 to 317 computations (31.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 1.0ms (19% of total)

ival-div: 1.0ms (19% of total)

ival-mult: 1.0ms (19% of total)

ival-cos: 1.0ms (19% of total)

ival-pow2: 1.0ms (19% of total)

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

adjust: 0.0ms (0% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.8354258526059502e-5	72.15395549005893

Compiler

Compiled 442 to 308 computations (30.3% saved)

bsearch104.0ms (0.7%)

Memory

-6.8MiB live, 71.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	5.369214722596114e-11	1.8354258526059502e-5
57.0ms	7.57755460342722e-188	4.240578726112906e-187

Samples

41.0ms	211×	0	valid
9.0ms	29×	1	valid

Compiler

Compiled 607 to 434 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-cos: 19.0ms (46.2% of total)

ival-sub: 6.0ms (14.6% of total)

ival-div: 3.0ms (7.3% of total)

ival-mult: 3.0ms (7.3% of total)

ival-pow2: 3.0ms (7.3% of total)

ival-exp: 2.0ms (4.9% of total)

ival-add: 2.0ms (4.9% of total)

adjust: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

ival-fabs: 1.0ms (2.4% 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

0.3MiB live, 39.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.8354258526059502e-5	72.15395549005893
55.0ms	1.7828110498356393e-274	6.069527588716689e-247

Samples

19.0ms	162×	0	valid
4.0ms	14×	1	valid

Compiler

Compiled 657 to 469 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sub: 4.0ms (23.2% of total)

ival-div: 2.0ms (11.6% of total)

ival-mult: 2.0ms (11.6% of total)

ival-pow2: 2.0ms (11.6% of total)

ival-cos: 2.0ms (11.6% of total)

ival-add: 1.0ms (5.8% of total)

adjust: 1.0ms (5.8% of total)

ival-exp: 1.0ms (5.8% of total)

ival-neg: 1.0ms (5.8% of total)

ival-fabs: 1.0ms (5.8% 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

2.9MiB live, 2.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.8354258526059502e-5	72.15395549005893
1.0ms	1.7828110498356393e-274	6.069527588716689e-247

Compiler

Compiled 657 to 469 computations (28.6% saved)

bsearch2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.369214722596114e-11	1.8354258526059502e-5
1.0ms	1.7828110498356393e-274	6.069527588716689e-247

Compiler

Compiled 657 to 469 computations (28.6% saved)

bsearch110.0ms (0.7%)

Memory

4.0MiB live, 80.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
52.0ms	1.3741635627927542	3582126.652619138
49.0ms	-2.2140067280635647e-59	-3.4398110878209344e-64
3.0ms	-6662988024405878.0	-6154514846676819.0

Samples

84.0ms	258×	0	valid
9.0ms	30×	1	valid

Compiler

Compiled 605 to 426 computations (29.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-sub: 60.0ms (72.2% of total)

ival-div: 4.0ms (4.8% of total)

ival-mult: 4.0ms (4.8% of total)

ival-pow2: 3.0ms (3.6% of total)

ival-cos: 3.0ms (3.6% of total)

ival-add: 2.0ms (2.4% of total)

ival-exp: 2.0ms (2.4% of total)

adjust: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

ival-fabs: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch118.0ms (0.8%)

Memory

-49.4MiB live, 62.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	3.1657202265656233e-16	4.823742504117598e-12
62.0ms	-0.12349091307208482	-4.023473516349137e-7

Samples

67.0ms	254×	0	valid
5.0ms	18×	1	valid

Compiler

Compiled 547 to 386 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-div: 41.0ms (64.9% of total)

ival-sub: 6.0ms (9.5% of total)

ival-mult: 3.0ms (4.7% of total)

ival-pow2: 3.0ms (4.7% of total)

ival-cos: 3.0ms (4.7% of total)

ival-add: 2.0ms (3.2% of total)

ival-exp: 2.0ms (3.2% of total)

adjust: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

ival-fabs: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

simplify60.0ms (0.4%)

Memory

24.4MiB live, 63.3MiB allocated

Algorithm

1×	egg-herbie

Rules

472×	`unsub-neg_binary64`
280×	`distribute-lft-neg-in_binary64`
278×	`neg-mul-1_binary64`
172×	`cancel-sign-sub_binary64`
150×	`neg-sub0_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	1177
1	189	1177
2	219	1177
3	246	1176
4	271	1176
5	288	1176
6	337	1176
7	527	1176
8	730	1176
9	756	1176
10	821	1176
11	920	1176
12	1048	1176
13	1168	1176
14	1247	1176
15	1325	1176
16	1344	1176
17	1372	1176

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 n #s(literal 60 binary64)) (.f64 (exp.f64 (neg.f64 (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 n (.f64 K #s(literal 1/2 binary64)))) M))) (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))))))
(if (<=.f64 n #s(literal 54 binary64)) (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 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 (.f64 n n) #s(literal -1/4 binary64))))))
(if (<=.f64 n #s(literal 54 binary64)) (.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 #s(literal 1/2 binary64) K) n))) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 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 (.f64 n n) #s(literal -1/4 binary64))))))
(if (<=.f64 n #s(literal 8230123961904335/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 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 m m) #s(literal -1/4 binary64))))) (if (<=.f64 n #s(literal 5312662293228351/295147905179352825856 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 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))))
(if (<=.f64 n #s(literal 8816866202234403/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136 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 m m) #s(literal -1/4 binary64))))) (if (<=.f64 n #s(literal 54 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)))) (.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 n #s(literal 8816866202234403/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136 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 n #s(literal 54 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)))) (.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 n #s(literal 8816866202234403/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136 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 n #s(literal 5312662293228351/295147905179352825856 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 -6200000000000000 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 -565391060729083/28269553036454149273332760011886696253239742350009903329945699220681916416 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 54 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 -1098878309078401/9007199254740992 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 5942112188569825/1237940039285380274899124224 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)))))
(if (<=.f64 n #s(literal 60 binary64)) (.f64 (exp.f64 (neg.f64 (fma.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)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 n (.f64 K #s(literal 1/2 binary64)))) M))) (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))))))
(if (<=.f64 n #s(literal 54 binary64)) (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 n K))) M)) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 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 (.f64 n n) #s(literal -1/4 binary64))))))
(if (<=.f64 n #s(literal 54 binary64)) (.f64 (cos.f64 (-.f64 #s(approx (/ ( K (+ m n)) 2) (.f64 #s(literal 1/2 binary64) (.f64 K n))) M)) (exp.f64 (+.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 #s(literal -1/4 binary64) (.f64 m m))) (-.f64 (fabs.f64 (-.f64 m n)) 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 n #s(literal 54 binary64)) (.f64 (cos.f64 #s(approx (- (/ ( K (+ m n)) 2) M) (.f64 (.f64 #s(literal 1/2 binary64) K) n))) (exp.f64 (-.f64 #s(approx (neg (/ (* (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 (.f64 m m) #s(literal -1/4 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 (.f64 n n) #s(literal -1/4 binary64))))))
(if (<=.f64 n #s(literal 54 binary64)) (.f64 (exp.f64 (+.f64 #s(approx (neg (/ ( (+ (* (+ m n) 1/2) (neg M)) (- (* 1/8 (* (+ m n) (* (+ m n) (+ m n)))) (* M (* M M)))) (+ (* M (+ (* (+ m n) 1/2) M)) (* 1/4 (* (+ m n) (+ m n)))))) (.f64 #s(literal -1/4 binary64) (.f64 m m))) (-.f64 (fabs.f64 (-.f64 m n)) l))) (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (.f64 n (.f64 K #s(literal 1/2 binary64)))))) (.f64 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) #s(approx (cos M) #s(literal 1 binary64))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64))))))
(if (<=.f64 n #s(literal 8230123961904335/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 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 m m) #s(literal -1/4 binary64))))) (if (<=.f64 n #s(literal 5312662293228351/295147905179352825856 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 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))))
(if (<=.f64 n #s(literal 8230123961904335/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 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 #s(literal -1/4 binary64) (.f64 m m))))) (if (<=.f64 n #s(literal 5312662293228351/295147905179352825856 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 #s(approx (cos (- (/ ( K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))))))
(if (<=.f64 n #s(literal 8816866202234403/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136 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 m m) #s(literal -1/4 binary64))))) (if (<=.f64 n #s(literal 54 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)))) (.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 n #s(literal 8816866202234403/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136 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 #s(literal -1/4 binary64) (.f64 m m))))) (if (<=.f64 n #s(literal 54 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)))) (.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 n #s(literal 8816866202234403/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136 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 n #s(literal 54 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)))) (.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 n #s(literal 8816866202234403/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136 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 n #s(literal 54 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)))) (.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 n #s(literal 8816866202234403/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136 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 n #s(literal 5312662293228351/295147905179352825856 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 n #s(literal 8816866202234403/503820925841965910293903145710484129446837736164208910110436162020372297817921504473130470168740451712297816270119789770967814979078946625948466280425014092358004268645291408699733274151255074551605446727954090503833797734023629893148800753371273495187319355867136 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 n #s(literal 5312662293228351/295147905179352825856 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)))))))
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(if (<=.f64 m #s(literal -6200000000000000 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 -565391060729083/28269553036454149273332760011886696253239742350009903329945699220681916416 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 54 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 -1098878309078401/9007199254740992 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 5942112188569825/1237940039285380274899124224 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))))

soundness1.2s (8.1%)

Memory

0.2MiB live, 1 385.9MiB allocated

Rules

11 354×	`lower-fma.f64`
11 354×	`lower-fma.f32`
7 656×	`lower-*.f64`
7 656×	`lower-*.f32`
7 622×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	940	24153
1	2873	23348
0	8336	22704
0	61	332
0	99	324
1	281	324
2	1741	324
0	8288	324
0	1910	53958
1	6449	53682
0	8678	50966
0	1602	50158
1	5215	48739
0	8344	46319
0	492	4406
1	1500	4295
2	4647	4272
0	8207	4046

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×	iter limit
1×	node limit

Compiler

Compiled 1 805 to 1 071 computations (40.7% saved)

preprocess116.0ms (0.8%)

Memory: 1.7MiB live, 232.9MiB allocated
Remove: (sort m n)
Compiler: Compiled 982 to 302 computations (69.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample1.7s (11.4%)

preprocess425.0ms (2.8%)

explain693.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify539.0ms (3.6%)

localize171.0ms (1.1%)

series48.0ms (0.3%)

simplify336.0ms (2.2%)

rewrite368.0ms (2.5%)

eval81.0ms (0.5%)

prune104.0ms (0.7%)

simplify266.0ms (1.8%)

localize253.0ms (1.7%)

series144.0ms (1%)

simplify533.0ms (3.6%)

rewrite640.0ms (4.3%)

eval319.0ms (2.1%)

prune346.0ms (2.3%)

simplify448.0ms (3%)

localize423.0ms (2.8%)

series271.0ms (1.8%)

simplify727.0ms (4.9%)

rewrite356.0ms (2.4%)

eval331.0ms (2.2%)

prune323.0ms (2.2%)

simplify254.0ms (1.7%)

localize358.0ms (2.4%)

series122.0ms (0.8%)

simplify770.0ms (5.2%)

rewrite553.0ms (3.7%)

eval328.0ms (2.2%)

prune360.0ms (2.4%)

regimes143.0ms (1%)

regimes109.0ms (0.7%)

regimes50.0ms (0.3%)

regimes55.0ms (0.4%)

regimes65.0ms (0.4%)

regimes36.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0%)

regimes27.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch44.0ms (0.3%)

bsearch11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch104.0ms (0.7%)

bsearch60.0ms (0.4%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch110.0ms (0.7%)

bsearch118.0ms (0.8%)

simplify60.0ms (0.4%)

soundness1.2s (8.1%)

preprocess116.0ms (0.8%)

end0.0ms (0%)

Profiling