Metrics for Maksimov and Kolovsky, Equation (32)

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 31 to 23 computations (25.8% saved)

sample2.1s (16.3%)

Memory

59.6MiB live, 1 810.6MiB allocated

Samples

1.3s	7 844×	0	valid
187.0ms	412×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-sub: 233.0ms (19.2% of total)

ival-div: 223.0ms (18.3% of total)

ival-fabs: 195.0ms (16% of total)

ival-pow2: 145.0ms (11.9% of total)

ival-add: 133.0ms (10.9% of total)

ival-mult: 106.0ms (8.7% of total)

ival-exp: 59.0ms (4.8% of total)

ival-cos: 59.0ms (4.8% of total)

ival-neg: 33.0ms (2.7% of total)

adjust: 18.0ms (1.5% of total)

ival-true: 6.0ms (0.5% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

preprocess300.0ms (2.3%)

Memory

-4.6MiB live, 510.4MiB 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)

explain519.0ms (4%)

Memory

-52.3MiB live, 888.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
184	40	(-1.6568920788292403e-228 -7.931154353328581e-146 1.5830609356464364e+71 1.3412615572483893e+175 4.836309245143847e-265)	-	`(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))`
0	0	-	-	`(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))`
0	0	-	-	`K`
0	0	-	-	`(/.f64 (+.f64 m n) #s(literal 2 binary64))`
0	0	-	-	`(-.f64 l (fabs.f64 (-.f64 m n)))`
0	0	-	-	`(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))`
0	0	-	-	`(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))`
0	0	-	-	`(+.f64 m n)`
0	0	-	-	`(fabs.f64 (-.f64 m n))`
0	0	-	-	`m`
0	0	-	-	`(*.f64 K (+.f64 m n))`
0	0	-	-	`n`
0	0	-	-	`(exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))`
0	0	-	-	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))`
0	0	-	-	`(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)`
0	0	-	-	`(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))`
0	0	-	-	`(-.f64 m n)`
0	0	-	-	`(-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`l`
0	0	-	-	`M`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))`	sensitivity	168	0
`cos.f64`	`(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))`	oflow-rescue	56	0
↳	`(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))`	overflow	56
↳	`(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)`	overflow	56
↳	`(*.f64 K (+.f64 m n))`	overflow	56

Confusion

	Predicted +	Predicted -
+	61	0
-	163	32

Precision

0.27232142857142855

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	61	0	0
-	163	0	32

Precision?

0.27232142857142855

Recall?

1.0

Freqs

test

number	freq
0	32
1	224

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

243.0ms	438×	1	valid
11.0ms	74×	0	valid

Compiler

Compiled 368 to 88 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-pow2: 66.0ms (31% of total)

ival-sub: 57.0ms (26.8% of total)

adjust: 20.0ms (9.4% of total)

ival-cos: 20.0ms (9.4% of total)

ival-mult: 16.0ms (7.5% of total)

ival-div: 12.0ms (5.6% of total)

ival-fabs: 8.0ms (3.8% of total)

ival-add: 5.0ms (2.3% of total)

ival-neg: 4.0ms (1.9% of total)

ival-exp: 3.0ms (1.4% of total)

ival-true: 1.0ms (0.5% of total)

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.6%	(.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

▶

76.6%

(*.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)

simplify288.0ms (2.2%)

Memory

-4.6MiB live, 388.3MiB 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)

localize157.0ms (1.2%)

Memory

10.3MiB live, 135.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
✓	accuracy	100.0%	(*.f64 K (+.f64 m n))
✓	accuracy	35.1%	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))

Samples

125.0ms	219×	1	valid
5.0ms	37×	0	valid

Compiler

Compiled 150 to 23 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-neg: 42.0ms (38.9% of total)

ival-div: 19.0ms (17.6% of total)

ival-sub: 10.0ms (9.3% of total)

ival-cos: 10.0ms (9.3% of total)

adjust: 9.0ms (8.3% of total)

ival-mult: 6.0ms (5.6% of total)

ival-pow2: 5.0ms (4.6% of total)

ival-add: 3.0ms (2.8% of total)

ival-exp: 2.0ms (1.9% of total)

ival-fabs: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory

-7.8MiB live, 27.7MiB allocated

Counts

4 → 168

Calls

Call 1

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

Outputs
#<alt (cos (neg M))>
#<alt (+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))>
#<alt (+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))>
#<alt (+ (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))))))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K n)) M))>
#<alt (+ (cos (- (* 1/2 (* K n)) M)) (* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M))))))>
#<alt (+ (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)))))))>
#<alt (+ (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)))))))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (- n (* -1 m)))) M))>
#<alt (cos (- (* 1/2 (* K (- n (* -1 m)))) M))>
#<alt (cos (- (* 1/2 (* K (- n (* -1 m)))) M))>
#<alt (cos (- (* 1/2 (* K (- n (* -1 m)))) M))>
#<alt (cos (- (* 1/2 (* K m)) M))>
#<alt (+ (cos (- (* 1/2 (* K m)) M)) (* -1/2 (* K (* n (sin (- (* 1/2 (* K m)) M))))))>
#<alt (+ (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)))))))>
#<alt (+ (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)))))))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (- m (* -1 n)))) M))>
#<alt (cos (- (* 1/2 (* K (- m (* -1 n)))) M))>
#<alt (cos (- (* 1/2 (* K (- m (* -1 n)))) M))>
#<alt (cos (- (* 1/2 (* K (- m (* -1 n)))) M))>
#<alt (cos (* 1/2 (* K (+ m n))))>
#<alt (+ (cos (* 1/2 (* K (+ m n)))) (* M (sin (* 1/2 (* K (+ m n))))))>
#<alt (+ (cos (* 1/2 (* K (+ m n)))) (* M (- (* -1/2 (* M (cos (* 1/2 (* K (+ m n)))))) (* -1 (sin (* 1/2 (* K (+ m n))))))))>
#<alt (+ (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))))))))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))>
#<alt (cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))>
#<alt (cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))>
#<alt (cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K n)>
#<alt (+ (* K m) (* K n))>
#<alt (+ (* K m) (* K n))>
#<alt (+ (* K m) (* K n))>
#<alt (* K m)>
#<alt (* m (+ K (/ (* K n) m)))>
#<alt (* m (+ K (/ (* K n) m)))>
#<alt (* m (+ K (/ (* K n) m)))>
#<alt (* K m)>
#<alt (* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))>
#<alt (* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))>
#<alt (* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))>
#<alt (* K m)>
#<alt (+ (* K m) (* K n))>
#<alt (+ (* K m) (* K n))>
#<alt (+ (* K m) (* K n))>
#<alt (* K n)>
#<alt (* n (+ K (/ (* K m) n)))>
#<alt (* n (+ K (/ (* K m) n)))>
#<alt (* n (+ K (/ (* K m) n)))>
#<alt (* K n)>
#<alt (* -1 (* n (+ (* -1 K) (* -1 (/ (* K m) n)))))>
#<alt (* -1 (* n (+ (* -1 K) (* -1 (/ (* K m) n)))))>
#<alt (* -1 (* n (+ (* -1 K) (* -1 (/ (* K m) n)))))>
#<alt (* -1 M)>
#<alt (- (* 1/2 (* K (+ m n))) M)>
#<alt (- (* 1/2 (* K (+ m n))) M)>
#<alt (- (* 1/2 (* K (+ m n))) M)>
#<alt (* 1/2 (* K (+ m n)))>
#<alt (* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))>
#<alt (* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))>
#<alt (* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))>
#<alt (* 1/2 (* K (+ m n)))>
#<alt (* -1 (* K (+ (* -1/2 (+ m n)) (/ M K))))>
#<alt (* -1 (* K (+ (* -1/2 (+ m n)) (/ M K))))>
#<alt (* -1 (* K (+ (* -1/2 (+ m n)) (/ M K))))>
#<alt (- (* 1/2 (* K n)) M)>
#<alt (- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)>
#<alt (- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)>
#<alt (- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)>
#<alt (* 1/2 (* K m))>
#<alt (* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m)))>
#<alt (* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m)))>
#<alt (* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m)))>
#<alt (* 1/2 (* K m))>
#<alt (* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))>
#<alt (* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))>
#<alt (* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))>
#<alt (- (* 1/2 (* K m)) M)>
#<alt (- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)>
#<alt (- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)>
#<alt (- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)>
#<alt (* 1/2 (* K n))>
#<alt (* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n)))>
#<alt (* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n)))>
#<alt (* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n)))>
#<alt (* 1/2 (* K n))>
#<alt (* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K))))>
#<alt (* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K))))>
#<alt (* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K))))>
#<alt (* 1/2 (* K (+ m n)))>
#<alt (+ (* -1 M) (* 1/2 (* K (+ m n))))>
#<alt (+ (* -1 M) (* 1/2 (* K (+ m n))))>
#<alt (+ (* -1 M) (* 1/2 (* K (+ m n))))>
#<alt (* -1 M)>
#<alt (* M (- (* 1/2 (/ (* K (+ m n)) M)) 1))>
#<alt (* M (- (* 1/2 (/ (* K (+ m n)) M)) 1))>
#<alt (* M (- (* 1/2 (/ (* K (+ m n)) M)) 1))>
#<alt (* -1 M)>
#<alt (* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M)))))>
#<alt (* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M)))))>
#<alt (* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M)))))>
#<alt (pow (- (* 1/2 n) M) 2)>
#<alt (+ (* m (- (* 1/2 n) M)) (pow (- (* 1/2 n) M) 2))>
#<alt (+ (* m (- (+ (* 1/4 m) (* 1/2 n)) M)) (pow (- (* 1/2 n) M) 2))>
#<alt (+ (* m (- (+ (* 1/4 m) (* 1/2 n)) M)) (pow (- (* 1/2 n) M) 2))>
#<alt (* 1/4 (pow m 2))>
#<alt (* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))>
#<alt (* (pow m 2) (- (+ 1/4 (+ (* 1/2 (/ n m)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))) (/ M m)))>
#<alt (* (pow m 2) (- (+ 1/4 (+ (* 1/2 (/ n m)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))) (/ M m)))>
#<alt (* 1/4 (pow m 2))>
#<alt (* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))>
#<alt (* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))>
#<alt (* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))>
#<alt (pow (- (* 1/2 m) M) 2)>
#<alt (+ (* n (- (* 1/2 m) M)) (pow (- (* 1/2 m) M) 2))>
#<alt (+ (* n (- (+ (* 1/4 n) (* 1/2 m)) M)) (pow (- (* 1/2 m) M) 2))>
#<alt (+ (* n (- (+ (* 1/4 n) (* 1/2 m)) M)) (pow (- (* 1/2 m) M) 2))>
#<alt (* 1/4 (pow n 2))>
#<alt (* (pow n 2) (- (+ 1/4 (* 1/2 (/ m n))) (/ M n)))>
#<alt (* (pow n 2) (- (+ 1/4 (+ (* 1/2 (/ m n)) (/ (pow (- (* 1/2 m) M) 2) (pow n 2)))) (/ M n)))>
#<alt (* (pow n 2) (- (+ 1/4 (+ (* 1/2 (/ m n)) (/ (pow (- (* 1/2 m) M) 2) (pow n 2)))) (/ M n)))>
#<alt (* 1/4 (pow n 2))>
#<alt (* (pow n 2) (- (+ 1/4 (* 1/2 (/ m n))) (/ M n)))>
#<alt (* (pow n 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 m) M)) (* -1 (/ (pow (- (* 1/2 m) M) 2) n))) n))))>
#<alt (* (pow n 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 m) M)) (* -1 (/ (pow (- (* 1/2 m) M) 2) n))) n))))>
#<alt (* 1/4 (pow (+ m n) 2))>
#<alt (+ (* -1 (* M (+ m n))) (* 1/4 (pow (+ m n) 2)))>
#<alt (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* -1 (+ m n)))))>
#<alt (+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* -1 (+ m n)))))>
#<alt (pow M 2)>
#<alt (* (pow M 2) (+ 1 (* -1 (/ (+ m n) M))))>
#<alt (* (pow M 2) (+ 1 (+ (* -1 (/ (+ m n) M)) (* 1/4 (/ (pow (+ m n) 2) (pow M 2))))))>
#<alt (* (pow M 2) (+ 1 (+ (* -1 (/ (+ m n) M)) (* 1/4 (/ (pow (+ m n) 2) (pow M 2))))))>
#<alt (pow M 2)>
#<alt (* (pow M 2) (+ 1 (* -1 (/ (+ m n) M))))>
#<alt (* (pow M 2) (+ 1 (* -1 (/ (+ m (+ n (* -1/4 (/ (pow (+ m n) 2) M)))) M))))>
#<alt (* (pow M 2) (+ 1 (* -1 (/ (+ m (+ n (* -1/4 (/ (pow (+ m n) 2) M)))) M))))>

Calls

42 calls:

Time	Variable		Point	Expression
4.0ms	M	@	-inf	(cos (- (/ (* K (+ m n)) 2) M))
1.0ms	M	@	-inf	(- (/ (* K (+ m n)) 2) M)
1.0ms	m	@	0	(cos (- (/ (* K (+ m n)) 2) M))
1.0ms	K	@	0	(cos (- (/ (* K (+ m n)) 2) M))
1.0ms	K	@	inf	(* K (+ m n))

rewrite315.0ms (2.4%)

Memory

-6.1MiB live, 559.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 018×	`lower-fma.f64`
7 018×	`lower-fma.f32`
5 944×	`lower-*.f32`
5 942×	`lower-*.f64`
4 266×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
0	21	33
1	97	33
2	728	33
0	8418	33

Stop Event

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

Counts

4 → 317

Calls

Call 1

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

Outputs
(+.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)))
(+.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) (neg.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 M)))))
(+.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) (.f64 (neg.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 M))))
(+.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64)) (.f64 K (.f64 K K))) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))) (cos.f64 (/.f64 (.f64 M (.f64 M M)) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))) (.f64 (sin.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64)) (.f64 K (.f64 K K))) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))) (sin.f64 (/.f64 (.f64 M (.f64 M M)) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (.f64 K (+.f64 m n)) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (cos.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))) (.f64 (sin.f64 (/.f64 (.f64 (.f64 K (+.f64 m n)) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (sin.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))
(cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)) M))
(-.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 M))))
(-.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) (.f64 (sin.f64 (neg.f64 M)) (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 2 binary64)) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) #s(literal 2 binary64)) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))
(fma.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M) (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)))
(fma.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M) (neg.f64 (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 M)))))
(fma.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M) (.f64 (neg.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 M))))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (neg.f64 (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 M)))))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (.f64 (neg.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 M))))
(fma.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M) (.f64 (cos.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)))
(fma.f64 (sin.f64 M) (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)))
(fma.f64 (+.f64 (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 1/2 binary64)) M))) #s(literal 1/2 binary64) (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)))
(fma.f64 (+.f64 (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 1/2 binary64)) M))) #s(literal 1/2 binary64) (neg.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 M)))))
(fma.f64 (+.f64 (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 1/2 binary64)) M))) #s(literal 1/2 binary64) (.f64 (neg.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 M))))
(fma.f64 (-.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)) M)) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)))
(fma.f64 (cos.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64)) (.f64 K (.f64 K K))) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))) (cos.f64 (/.f64 (.f64 M (.f64 M M)) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))) (.f64 (sin.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64)) (.f64 K (.f64 K K))) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))) (sin.f64 (/.f64 (.f64 M (.f64 M M)) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))))
(fma.f64 (cos.f64 (/.f64 (.f64 (.f64 K (+.f64 m n)) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (cos.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (.f64 (sin.f64 (/.f64 (.f64 (.f64 K (+.f64 m n)) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (sin.f64 (/.f64 (.f64 M M) (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (-.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M))))) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)) M)) (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (-.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (.f64 (cos.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M))))))
(/.f64 (.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)) M)) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(/.f64 (fma.f64 (+.f64 (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 1/2 binary64)) M))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)) M)) (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)) M)) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (+.f64 (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 1/2 binary64)) M))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (-.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (.f64 (cos.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)))))))
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(.f64 (.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))))
(.f64 (.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))
(.f64 (.f64 (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M))) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))))
(.f64 (.f64 (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.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 (.f64 (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M)))) (/.f64 #s(literal 1 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 (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))
(.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))))
(.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (*.f64 M (neg.f64 M)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))
(.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (sqrt.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (sqrt.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) #s(literal 1/64 binary64) (.f64 (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)) (.f64 M (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))))) (fma.f64 (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/16 binary64) (.f64 (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)) (-.f64 (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)) (.f64 (+.f64 m n) (*.f64 #s(literal 1/4 binary64) (+.f64 m n)))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (-.f64 (.f64 (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/16 binary64)) (.f64 M (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))))) (-.f64 (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n))) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M)))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M)))) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M)))) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (.f64 M (.f64 M M)))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (-.f64 M (.f64 (+.f64 m n) #s(literal 1/2 binary64))))))

simplify381.0ms (2.9%)

Memory

19.4MiB live, 478.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 856×	`lower-fma.f64`
9 856×	`lower-fma.f32`
5 688×	`lower-*.f64`
5 688×	`lower-*.f32`
3 442×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	274	2071
1	803	2042
2	2479	2009
3	7406	2009
0	8116	1940

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

simplify94.0ms (0.7%)

Memory

-23.1MiB live, 154.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	810	11505
1	811	11505
0	811	11505

Stop Event

1×	saturated
1×	saturated

Counts

317 → 0

Calls

Call 1

Inputs
(+.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)))
(+.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) (neg.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 M)))))
(+.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) (.f64 (neg.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 M))))
(+.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64)) (.f64 K (.f64 K K))) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))) (cos.f64 (/.f64 (.f64 M (.f64 M M)) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))) (.f64 (sin.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64)) (.f64 K (.f64 K K))) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))) (sin.f64 (/.f64 (.f64 M (.f64 M M)) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (.f64 K (+.f64 m n)) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (cos.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))) (.f64 (sin.f64 (/.f64 (.f64 (.f64 K (+.f64 m n)) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (sin.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))
(cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)) M))
(-.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 M))))
(-.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) (.f64 (sin.f64 (neg.f64 M)) (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 2 binary64)) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) #s(literal 2 binary64)) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))
(fma.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M) (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)))
(fma.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M) (neg.f64 (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 M)))))
(fma.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M) (.f64 (neg.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 M))))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (neg.f64 (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 M)))))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (.f64 (neg.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 M))))
(fma.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M) (.f64 (cos.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)))
(fma.f64 (sin.f64 M) (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)))
(fma.f64 (+.f64 (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 1/2 binary64)) M))) #s(literal 1/2 binary64) (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)))
(fma.f64 (+.f64 (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 1/2 binary64)) M))) #s(literal 1/2 binary64) (neg.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 M)))))
(fma.f64 (+.f64 (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 1/2 binary64)) M))) #s(literal 1/2 binary64) (.f64 (neg.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 M))))
(fma.f64 (-.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)) M)) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)))
(fma.f64 (cos.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64)) (.f64 K (.f64 K K))) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))) (cos.f64 (/.f64 (.f64 M (.f64 M M)) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))) (.f64 (sin.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64)) (.f64 K (.f64 K K))) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))) (sin.f64 (/.f64 (.f64 M (.f64 M M)) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))))
(fma.f64 (cos.f64 (/.f64 (.f64 (.f64 K (+.f64 m n)) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (cos.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (.f64 (sin.f64 (/.f64 (.f64 (.f64 K (+.f64 m n)) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (sin.f64 (/.f64 (.f64 M M) (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (-.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M))))) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)) M)) (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (-.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (.f64 (cos.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M))))))
(/.f64 (.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)) M)) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(/.f64 (fma.f64 (+.f64 (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 1/2 binary64)) M))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)) M)) (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)) M)) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (+.f64 (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 1/2 binary64)) M))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (-.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (.f64 (cos.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)))))))
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(.f64 (.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))))
(.f64 (.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))
(.f64 (.f64 (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M))) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))))
(.f64 (.f64 (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.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 (.f64 (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M)))) (/.f64 #s(literal 1 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 (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))
(.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))))
(.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (*.f64 M (neg.f64 M)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))
(.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (sqrt.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (sqrt.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) #s(literal 1/64 binary64) (.f64 (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)) (.f64 M (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))))) (fma.f64 (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/16 binary64) (.f64 (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)) (-.f64 (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)) (.f64 (+.f64 m n) (*.f64 #s(literal 1/4 binary64) (+.f64 m n)))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (-.f64 (.f64 (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/16 binary64)) (.f64 M (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))))) (-.f64 (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n))) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M)))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M)))) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M)))) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (.f64 M (.f64 M M)))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (-.f64 M (.f64 (+.f64 m n) #s(literal 1/2 binary64))))))

Outputs
(+.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)))
(+.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) (neg.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 M)))))
(+.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) (.f64 (neg.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 M))))
(+.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64)) (.f64 K (.f64 K K))) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))) (cos.f64 (/.f64 (.f64 M (.f64 M M)) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))) (.f64 (sin.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64)) (.f64 K (.f64 K K))) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))) (sin.f64 (/.f64 (.f64 M (.f64 M M)) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (.f64 K (+.f64 m n)) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (cos.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))) (.f64 (sin.f64 (/.f64 (.f64 (.f64 K (+.f64 m n)) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (sin.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))
(cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)) M))
(-.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 M))))
(-.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) (.f64 (sin.f64 (neg.f64 M)) (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 2 binary64)) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) #s(literal 2 binary64)) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))
(fma.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M) (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)))
(fma.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M) (neg.f64 (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 M)))))
(fma.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M) (.f64 (neg.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 M))))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (neg.f64 (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 M)))))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (.f64 (neg.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 M))))
(fma.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M) (.f64 (cos.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)))
(fma.f64 (sin.f64 M) (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (.f64 (cos.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)))
(fma.f64 (+.f64 (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 1/2 binary64)) M))) #s(literal 1/2 binary64) (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)))
(fma.f64 (+.f64 (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 1/2 binary64)) M))) #s(literal 1/2 binary64) (neg.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 M)))))
(fma.f64 (+.f64 (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 1/2 binary64)) M))) #s(literal 1/2 binary64) (.f64 (neg.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 M))))
(fma.f64 (-.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)) M)) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)))
(fma.f64 (cos.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64)) (.f64 K (.f64 K K))) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))) (cos.f64 (/.f64 (.f64 M (.f64 M M)) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))) (.f64 (sin.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64)) (.f64 K (.f64 K K))) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))) (sin.f64 (/.f64 (.f64 M (.f64 M M)) (fma.f64 K (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (.f64 M (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))))
(fma.f64 (cos.f64 (/.f64 (.f64 (.f64 K (+.f64 m n)) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (cos.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (.f64 (sin.f64 (/.f64 (.f64 (.f64 K (+.f64 m n)) (.f64 #s(literal 1/4 binary64) (.f64 K (+.f64 m n)))) (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (sin.f64 (/.f64 (.f64 M M) (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (-.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M))))) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)) M)) (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (-.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (sin.f64 M)) (.f64 (cos.f64 (.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))) (cos.f64 M))))))
(/.f64 (.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)) M)) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(/.f64 (fma.f64 (+.f64 (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 1/2 binary64)) M))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal 1/2 binary64)) M)) (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))))) #s(literal 4 binary64))
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(.f64 (.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))) #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))))
(.f64 (.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))))
(.f64 (.f64 (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M)))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))
(.f64 (.f64 (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M))) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))))
(.f64 (.f64 (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.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 (.f64 (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M)))) (/.f64 #s(literal 1 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 (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))
(.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))))
(.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (*.f64 M (neg.f64 M)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))
(.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (sqrt.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (sqrt.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n)))) #s(literal 1/64 binary64) (.f64 (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)) (.f64 M (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))))) (fma.f64 (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/16 binary64) (.f64 (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)) (-.f64 (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)) (.f64 (+.f64 m n) (*.f64 #s(literal 1/4 binary64) (+.f64 m n)))))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (neg.f64 (.f64 M (.f64 M M))))) (-.f64 (.f64 (.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/16 binary64)) (.f64 M (.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))))) (-.f64 (.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n))) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M)))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M)))) (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))
(.f64 (/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (neg.f64 M)))) (fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal 1/8 binary64) (.f64 M (.f64 M M)))) (fma.f64 (+.f64 m n) (.f64 #s(literal 1/4 binary64) (+.f64 m n)) (.f64 M (-.f64 M (.f64 (+.f64 m n) #s(literal 1/2 binary64))))))

eval29.0ms (0.2%)

Memory: 30.2MiB live, 66.7MiB allocated
Compiler: Compiled 10 901 to 329 computations (97% saved)

prune18.0ms (0.1%)

Memory

0.2MiB live, 38.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	328	8	336
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	329	8	337

Accuracy

98.9%

Counts

337 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.1%	(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 K n)) (sin.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K m)) M)) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 K 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))))))
▶	35.2%	(.f64 (fma.f64 K (fma.f64 (+.f64 m n) (.f64 #s(literal 1/2 binary64) (sin.f64 M)) (.f64 (.f64 (.f64 K #s(literal -1/8 binary64)) (cos.f64 M)) (.f64 (+.f64 m n) (+.f64 m n)))) (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))))))
	59.8%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (.f64 (.f64 m m) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (fma.f64 n #s(literal 1/2 binary64) (neg.f64 M)) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n #s(literal 1/2 binary64) (neg.f64 M)) m))) m)))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	49.0%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (.f64 n (.f64 n #s(literal 1/4 binary64)))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	47.1%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m #s(literal 1/4 binary64)))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	48.9%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	85.0%	(.f64 (cos.f64 (.f64 K (*.f64 n #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	97.4%	(*.f64 (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 576 to 370 computations (35.8% saved)

simplify309.0ms (2.4%)

Memory

-22.1MiB live, 366.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	cost-diff	512	(fma.f64 (+.f64 m n) (.f64 #s(literal 1/2 binary64) (sin.f64 M)) (.f64 (.f64 (.f64 K #s(literal -1/8 binary64)) (cos.f64 M)) (*.f64 (+.f64 m n) (+.f64 m n))))
✓	cost-diff	5056	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
✓	cost-diff	5568	(fma.f64 K (fma.f64 (+.f64 m n) (.f64 #s(literal 1/2 binary64) (sin.f64 M)) (.f64 (.f64 (.f64 K #s(literal -1/8 binary64)) (cos.f64 M)) (*.f64 (+.f64 m n) (+.f64 m n)))) (cos.f64 M))
✓	cost-diff	0	(.f64 (cos.f64 (.f64 K (*.f64 n #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	cost-diff	128	(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
✓	cost-diff	128	(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	cost-diff	5056	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
✓	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 (-.f64 (neg.f64 (.f64 n (.f64 n #s(literal 1/4 binary64)))) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	cost-diff	128	(neg.f64 (.f64 n (.f64 n #s(literal 1/4 binary64))))
✓	cost-diff	128	(-.f64 (neg.f64 (.f64 n (.f64 n #s(literal 1/4 binary64)))) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	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 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	cost-diff	256	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	cost-diff	0	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	cost-diff	128	(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
✓	cost-diff	128	(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	cost-diff	5056	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))

Rules

8 540×	`lower-fma.f32`
8 536×	`lower-fma.f64`
3 960×	`lower-*.f32`
3 928×	`lower-*.f64`
2 956×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	685
0	91	685
1	180	672
2	493	660
3	1789	660
4	6552	660
0	8070	651

Stop Event

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

Calls

Call 1

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

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

localize346.0ms (2.7%)

Memory

28.4MiB live, 623.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 K #s(literal -1/8 binary64)) (cos.f64 M))
✓	accuracy	94.8%	(fma.f64 K (fma.f64 (+.f64 m n) (.f64 #s(literal 1/2 binary64) (sin.f64 M)) (.f64 (.f64 (.f64 K #s(literal -1/8 binary64)) (cos.f64 M)) (*.f64 (+.f64 m n) (+.f64 m n)))) (cos.f64 M))
✓	accuracy	86.4%	(.f64 (.f64 (.f64 K #s(literal -1/8 binary64)) (cos.f64 M)) (.f64 (+.f64 m n) (+.f64 m n)))
✓	accuracy	55.0%	(.f64 (fma.f64 K (fma.f64 (+.f64 m n) (.f64 #s(literal 1/2 binary64) (sin.f64 M)) (.f64 (.f64 (.f64 K #s(literal -1/8 binary64)) (cos.f64 M)) (.f64 (+.f64 m n) (+.f64 m n)))) (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	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%	(-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)
✓	accuracy	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
✓	accuracy	52.2%	(cos.f64 (.f64 K (.f64 n #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(-.f64 (neg.f64 (.f64 n (.f64 n #s(literal 1/4 binary64)))) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	accuracy	100.0%	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
✓	accuracy	100.0%	(*.f64 K (+.f64 m n))
✓	accuracy	35.1%	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
✓	accuracy	100.0%	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	accuracy	100.0%	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
✓	accuracy	100.0%	(*.f64 K (+.f64 m n))
✓	accuracy	35.1%	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
✓	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%	(-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)
✓	accuracy	100.0%	(cos.f64 M)
✓	accuracy	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))

Samples

213.0ms	219×	1	valid
14.0ms	37×	0	valid

Compiler

Compiled 692 to 53 computations (92.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-mult: 39.0ms (23.4% of total)

ival-cos: 27.0ms (16.2% of total)

ival-pow2: 26.0ms (15.6% of total)

adjust: 18.0ms (10.8% of total)

ival-sub: 15.0ms (9% of total)

ival-exp: 13.0ms (7.8% of total)

ival-sin: 8.0ms (4.8% of total)

ival-div: 7.0ms (4.2% of total)

ival-add: 6.0ms (3.6% of total)

ival-neg: 5.0ms (3% of total)

ival-fabs: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series65.0ms (0.5%)

Memory

8.1MiB live, 119.0MiB allocated

Counts

14 → 552

Calls

Call 1

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

Outputs
#<alt (pow (- (* 1/2 n) M) 2)>
#<alt (+ (* m (- (* 1/2 n) M)) (pow (- (* 1/2 n) M) 2))>
#<alt (+ (* m (- (+ (* 1/4 m) (* 1/2 n)) M)) (pow (- (* 1/2 n) M) 2))>
#<alt (+ (* m (- (+ (* 1/4 m) (* 1/2 n)) M)) (pow (- (* 1/2 n) M) 2))>
#<alt (* 1/4 (pow m 2))>
#<alt (* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))>
#<alt (* (pow m 2) (- (+ 1/4 (+ (* 1/2 (/ n m)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))) (/ M m)))>
#<alt (* (pow m 2) (- (+ 1/4 (+ (* 1/2 (/ n m)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))) (/ M m)))>
#<alt (* 1/4 (pow m 2))>
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#<alt (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n))))))>
#<alt (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n))))))>
#<alt (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n))))))>
#<alt (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n))))))>
#<alt (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n))))))>
#<alt (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n))))))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 K)>
#<alt (+ (* -1/8 K) (* 1/16 (* K (pow M 2))))>
#<alt (+ (* -1/8 K) (* (pow M 2) (+ (* -1/192 (* K (pow M 2))) (* 1/16 K))))>
#<alt (+ (* -1/8 K) (* (pow M 2) (+ (* 1/16 K) (* (pow M 2) (+ (* -1/192 K) (* 1/5760 (* K (pow M 2))))))))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 (* K (cos M)))>
#<alt (* -1/8 (* K (cos M)))>

Calls

138 calls:

Time	Variable		Point	Expression
8.0ms	M	@	-inf	(* (+ (* K (+ (* (+ m n) (* 1/2 (sin M))) (* (* (* K -1/8) (cos M)) (* (+ m n) (+ m n))))) (cos M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))
5.0ms	n	@	inf	(- (neg (* n (* n 1/4))) (- l (fabs (- m n))))
2.0ms	l	@	inf	(* (+ (* K (+ (* (+ m n) (* 1/2 (sin M))) (* (* (* K -1/8) (cos M)) (* (+ m n) (+ m n))))) (cos M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))
2.0ms	M	@	inf	(* (+ (* K (+ (* (+ m n) (* 1/2 (sin M))) (* (* (* K -1/8) (cos M)) (* (+ m n) (+ m n))))) (cos M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))
2.0ms	m	@	0	(* (+ (* K (+ (* (+ m n) (* 1/2 (sin M))) (* (* (* K -1/8) (cos M)) (* (+ m n) (+ m n))))) (cos M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))

rewrite527.0ms (4.1%)

Memory

12.3MiB live, 524.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 592×	`lower-*.f32`
5 568×	`lower-*.f64`
4 092×	`lower-fma.f32`
4 088×	`lower-fma.f64`
3 288×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	181
0	79	175
1	293	172
2	2395	172
0	8508	169

Stop Event

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

Counts

14 → 380

Calls

Call 1

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

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

simplify449.0ms (3.5%)

Memory

-22.1MiB live, 736.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 774×	`lower-fma.f64`
8 774×	`lower-fma.f32`
6 782×	`lower-*.f64`
6 782×	`lower-*.f32`
6 562×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1014	13078
1	3308	12718
0	8434	12159

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

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
(+ 1 (* -1/2 (pow M 2)))
(+ 1 (* (pow M 2) (- (* 1/24 (pow M 2)) 1/2)))
(+ 1 (* (pow M 2) (- (* (pow M 2) (+ 1/24 (* -1/720 (pow M 2)))) 1/2)))
(cos M)
(cos M)
(cos M)
(cos M)
(cos M)
(cos M)
(cos M)
(cos M)
(- (* 1/2 n) M)
(- (+ (* 1/2 m) (* 1/2 n)) M)
(- (+ (* 1/2 m) (* 1/2 n)) M)
(- (+ (* 1/2 m) (* 1/2 n)) M)
(* 1/2 m)
(* m (- (+ 1/2 (* 1/2 (/ n m))) (/ M m)))
(* m (- (+ 1/2 (* 1/2 (/ n m))) (/ M m)))
(* m (- (+ 1/2 (* 1/2 (/ n m))) (/ M m)))
(* 1/2 m)
(* -1 (* m (- (* -1 (/ (- (* 1/2 n) M) m)) 1/2)))
(* -1 (* m (- (* -1 (/ (- (* 1/2 n) M) m)) 1/2)))
(* -1 (* m (- (* -1 (/ (- (* 1/2 n) M) m)) 1/2)))
(- (* 1/2 m) M)
(- (+ (* 1/2 m) (* 1/2 n)) M)
(- (+ (* 1/2 m) (* 1/2 n)) M)
(- (+ (* 1/2 m) (* 1/2 n)) M)
(* 1/2 n)
(* n (- (+ 1/2 (* 1/2 (/ m n))) (/ M n)))
(* n (- (+ 1/2 (* 1/2 (/ m n))) (/ M n)))
(* n (- (+ 1/2 (* 1/2 (/ m n))) (/ M n)))
(* 1/2 n)
(* -1 (* n (- (* -1 (/ (- (* 1/2 m) M) n)) 1/2)))
(* -1 (* n (- (* -1 (/ (- (* 1/2 m) M) n)) 1/2)))
(* -1 (* n (- (* -1 (/ (- (* 1/2 m) M) n)) 1/2)))
(* 1/2 (+ m n))
(+ (* -1 M) (* 1/2 (+ m n)))
(+ (* -1 M) (* 1/2 (+ m n)))
(+ (* -1 M) (* 1/2 (+ m n)))
(* -1 M)
(* M (- (* 1/2 (/ (+ m n) M)) 1))
(* M (- (* 1/2 (/ (+ m n) M)) 1))
(* M (- (* 1/2 (/ (+ m n) M)) 1))
(* -1 M)
(* -1 (* M (+ 1 (* -1/2 (/ (+ m n) M)))))
(* -1 (* M (+ 1 (* -1/2 (/ (+ m n) M)))))
(* -1 (* M (+ 1 (* -1/2 (/ (+ m n) M)))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))
(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (* m (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n)))))
(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (* m (+ (* m (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 n)) 2)) 1/4))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n))))))
(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (* m (+ (* m (+ (* m (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (+ (* -1/4 (- M (* 1/2 n))) (* 1/6 (pow (- M (* 1/2 n)) 3))))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 n)) 2)) 1/4)))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n))))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))
(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m)))))
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(* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (+ (cos M) (* K (+ (* -1/8 (* K (* (pow n 2) (cos M)))) (* 1/2 (* n (sin M)))))))
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(* (pow m 2) (+ (* -1/8 (* (pow K 2) (* (cos M) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))) (+ (/ (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (+ (* -1/4 (* K (* n (cos M)))) (* 1/2 (sin M))))) m) (/ (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (+ (cos M) (* K (+ (* -1/8 (* K (* (pow n 2) (cos M)))) (* 1/2 (* n (sin M))))))) (pow m 2)))))
(* (pow m 2) (+ (* -1/8 (* (pow K 2) (* (cos M) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))) (+ (/ (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (+ (* -1/4 (* K (* n (cos M)))) (* 1/2 (sin M))))) m) (/ (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (+ (cos M) (* K (+ (* -1/8 (* K (* (pow n 2) (cos M)))) (* 1/2 (* n (sin M))))))) (pow m 2)))))
(* -1/8 (* (pow K 2) (* (pow m 2) (* (cos M) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))))))
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(* (pow m 2) (+ (* -1 (/ (+ (* -1 (/ (* (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))) (+ (cos M) (* K (+ (* -1/8 (* K (* (pow n 2) (cos M)))) (* 1/2 (* n (sin M))))))) m)) (* K (* (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))) (+ (* -1/2 (sin M)) (* 1/4 (* K (* n (cos M)))))))) m)) (* -1/8 (* (pow K 2) (* (cos M) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))))))
(* (pow m 2) (+ (* -1 (/ (+ (* -1 (/ (* (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))) (+ (cos M) (* K (+ (* -1/8 (* K (* (pow n 2) (cos M)))) (* 1/2 (* n (sin M))))))) m)) (* K (* (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))) (+ (* -1/2 (sin M)) (* 1/4 (* K (* n (cos M)))))))) m)) (* -1/8 (* (pow K 2) (* (cos M) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))))))
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(* -1/8 (* (pow K 2) (* (pow n 2) (* (cos M) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2))))))))
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(* (pow n 2) (+ (* -1 (/ (+ (* -1 (/ (* (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))) (+ (cos M) (* K (+ (* -1/8 (* K (* (pow m 2) (cos M)))) (* 1/2 (* m (sin M))))))) n)) (* K (* (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))) (+ (* -1/2 (sin M)) (* 1/4 (* K (* m (cos M)))))))) n)) (* -1/8 (* (pow K 2) (* (cos M) (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))))) (+ 1 (* -1/8 (* (pow K 2) (pow (+ m n) 2)))))
(+ (* M (+ (* 1/2 (* K (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ m n)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* (+ 1 (* -1/8 (* (pow K 2) (pow (+ m n) 2)))) (+ m n))))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow (+ m n) 2))))))
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(* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n)))))))
(* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n)))))))
(* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n)))))))
(* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n)))))))
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(* (exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2)))) (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n)))))))
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(* (exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2)))) (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n)))))))
(* (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))) (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n)))))))
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(* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n)))))))
(* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n)))))))
(* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n)))))))
(* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n)))))))
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(* (exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))) (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n)))))))
(* (exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))) (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n)))))))
(* (exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))) (+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n)))))))
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(+ (* -1/8 (* K (pow (+ m n) 2))) (* 1/16 (* K (* (pow M 2) (pow (+ m n) 2)))))
(+ (* -1/8 (* K (pow (+ m n) 2))) (* (pow M 2) (+ (* -1/192 (* K (* (pow M 2) (pow (+ m n) 2)))) (* 1/16 (* K (pow (+ m n) 2))))))
(+ (* -1/8 (* K (pow (+ m n) 2))) (* (pow M 2) (+ (* 1/16 (* K (pow (+ m n) 2))) (* (pow M 2) (+ (* -1/192 (* K (pow (+ m n) 2))) (* 1/5760 (* K (* (pow M 2) (pow (+ m n) 2)))))))))
(* -1/8 (* K (* (cos M) (pow (+ m n) 2))))
(* -1/8 (* K (* (cos M) (pow (+ m n) 2))))
(* -1/8 (* K (* (cos M) (pow (+ m n) 2))))
(* -1/8 (* K (* (cos M) (pow (+ m n) 2))))
(* -1/8 (* K (* (cos M) (pow (+ m n) 2))))
(* -1/8 (* K (* (cos M) (pow (+ m n) 2))))
(* -1/8 (* K (* (cos M) (pow (+ m n) 2))))
(* -1/8 (* K (* (cos M) (pow (+ m n) 2))))
(* -1/8 (* K (* (pow n 2) (cos M))))
(+ (* -1/4 (* K (* m (* n (cos M))))) (* -1/8 (* K (* (pow n 2) (cos M)))))
(+ (* -1/8 (* K (* (pow n 2) (cos M)))) (* m (+ (* -1/4 (* K (* n (cos M)))) (* -1/8 (* K (* m (cos M)))))))
(+ (* -1/8 (* K (* (pow n 2) (cos M)))) (* m (+ (* -1/4 (* K (* n (cos M)))) (* -1/8 (* K (* m (cos M)))))))
(* -1/8 (* K (* (pow m 2) (cos M))))
(* (pow m 2) (+ (* -1/4 (/ (* K (* n (cos M))) m)) (* -1/8 (* K (cos M)))))
(* (pow m 2) (+ (* -1/4 (/ (* K (* n (cos M))) m)) (+ (* -1/8 (* K (cos M))) (* -1/8 (/ (* K (* (pow n 2) (cos M))) (pow m 2))))))
(* (pow m 2) (+ (* -1/4 (/ (* K (* n (cos M))) m)) (+ (* -1/8 (* K (cos M))) (* -1/8 (/ (* K (* (pow n 2) (cos M))) (pow m 2))))))
(* -1/8 (* K (* (pow m 2) (cos M))))
(* (pow m 2) (+ (* -1/4 (/ (* K (* n (cos M))) m)) (* -1/8 (* K (cos M)))))
(* (pow m 2) (+ (* -1 (/ (+ (* 1/8 (/ (* K (* (pow n 2) (cos M))) m)) (* 1/4 (* K (* n (cos M))))) m)) (* -1/8 (* K (cos M)))))
(* (pow m 2) (+ (* -1 (/ (+ (* 1/8 (/ (* K (* (pow n 2) (cos M))) m)) (* 1/4 (* K (* n (cos M))))) m)) (* -1/8 (* K (cos M)))))
(* -1/8 (* K (* (pow m 2) (cos M))))
(+ (* -1/4 (* K (* m (* n (cos M))))) (* -1/8 (* K (* (pow m 2) (cos M)))))
(+ (* -1/8 (* K (* (pow m 2) (cos M)))) (* n (+ (* -1/4 (* K (* m (cos M)))) (* -1/8 (* K (* n (cos M)))))))
(+ (* -1/8 (* K (* (pow m 2) (cos M)))) (* n (+ (* -1/4 (* K (* m (cos M)))) (* -1/8 (* K (* n (cos M)))))))
(* -1/8 (* K (* (pow n 2) (cos M))))
(* (pow n 2) (+ (* -1/4 (/ (* K (* m (cos M))) n)) (* -1/8 (* K (cos M)))))
(* (pow n 2) (+ (* -1/4 (/ (* K (* m (cos M))) n)) (+ (* -1/8 (* K (cos M))) (* -1/8 (/ (* K (* (pow m 2) (cos M))) (pow n 2))))))
(* (pow n 2) (+ (* -1/4 (/ (* K (* m (cos M))) n)) (+ (* -1/8 (* K (cos M))) (* -1/8 (/ (* K (* (pow m 2) (cos M))) (pow n 2))))))
(* -1/8 (* K (* (pow n 2) (cos M))))
(* (pow n 2) (+ (* -1/4 (/ (* K (* m (cos M))) n)) (* -1/8 (* K (cos M)))))
(* (pow n 2) (+ (* -1 (/ (+ (* 1/8 (/ (* K (* (pow m 2) (cos M))) n)) (* 1/4 (* K (* m (cos M))))) n)) (* -1/8 (* K (cos M)))))
(* (pow n 2) (+ (* -1 (/ (+ (* 1/8 (/ (* K (* (pow m 2) (cos M))) n)) (* 1/4 (* K (* m (cos M))))) n)) (* -1/8 (* K (cos M)))))
(cos M)
(+ (cos M) (* 1/2 (* K (* (sin M) (+ m n)))))
(+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n))))))
(+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n))))))
(* -1/8 (* (pow K 2) (* (cos M) (pow (+ m n) 2))))
(* (pow K 2) (+ (* -1/8 (* (cos M) (pow (+ m n) 2))) (* 1/2 (/ (* (sin M) (+ m n)) K))))
(* (pow K 2) (+ (* -1/8 (* (cos M) (pow (+ m n) 2))) (+ (* 1/2 (/ (* (sin M) (+ m n)) K)) (/ (cos M) (pow K 2)))))
(* (pow K 2) (+ (* -1/8 (* (cos M) (pow (+ m n) 2))) (+ (* 1/2 (/ (* (sin M) (+ m n)) K)) (/ (cos M) (pow K 2)))))
(* -1/8 (* (pow K 2) (* (cos M) (pow (+ m n) 2))))
(* (pow K 2) (+ (* -1/8 (* (cos M) (pow (+ m n) 2))) (* 1/2 (/ (* (sin M) (+ m n)) K))))
(* (pow K 2) (+ (* -1 (/ (+ (* -1 (/ (cos M) K)) (* -1/2 (* (sin M) (+ m n)))) K)) (* -1/8 (* (cos M) (pow (+ m n) 2)))))
(* (pow K 2) (+ (* -1 (/ (+ (* -1 (/ (cos M) K)) (* -1/2 (* (sin M) (+ m n)))) K)) (* -1/8 (* (cos M) (pow (+ m n) 2)))))
(+ (cos M) (* K (+ (* -1/8 (* K (* (pow n 2) (cos M)))) (* 1/2 (* n (sin M))))))
(+ (cos M) (+ (* K (* m (+ (* -1/4 (* K (* n (cos M)))) (* 1/2 (sin M))))) (* K (+ (* -1/8 (* K (* (pow n 2) (cos M)))) (* 1/2 (* n (sin M)))))))
(+ (cos M) (+ (* K (+ (* -1/8 (* K (* (pow n 2) (cos M)))) (* 1/2 (* n (sin M))))) (* m (+ (* -1/8 (* (pow K 2) (* m (cos M)))) (* K (+ (* -1/4 (* K (* n (cos M)))) (* 1/2 (sin M))))))))
(+ (cos M) (+ (* K (+ (* -1/8 (* K (* (pow n 2) (cos M)))) (* 1/2 (* n (sin M))))) (* m (+ (* -1/8 (* (pow K 2) (* m (cos M)))) (* K (+ (* -1/4 (* K (* n (cos M)))) (* 1/2 (sin M))))))))
(* -1/8 (* (pow K 2) (* (pow m 2) (cos M))))
(* (pow m 2) (+ (* -1/8 (* (pow K 2) (cos M))) (/ (* K (+ (* -1/4 (* K (* n (cos M)))) (* 1/2 (sin M)))) m)))
(* (pow m 2) (+ (* -1/8 (* (pow K 2) (cos M))) (+ (/ (cos M) (pow m 2)) (+ (/ (* K (+ (* -1/4 (* K (* n (cos M)))) (* 1/2 (sin M)))) m) (/ (* K (+ (* -1/8 (* K (* (pow n 2) (cos M)))) (* 1/2 (* n (sin M))))) (pow m 2))))))
(* (pow m 2) (+ (* -1/8 (* (pow K 2) (cos M))) (+ (/ (cos M) (pow m 2)) (+ (/ (* K (+ (* -1/4 (* K (* n (cos M)))) (* 1/2 (sin M)))) m) (/ (* K (+ (* -1/8 (* K (* (pow n 2) (cos M)))) (* 1/2 (* n (sin M))))) (pow m 2))))))
(* -1/8 (* (pow K 2) (* (pow m 2) (cos M))))
(* (pow m 2) (+ (* -1 (/ (* K (+ (* -1/2 (sin M)) (* 1/4 (* K (* n (cos M)))))) m)) (* -1/8 (* (pow K 2) (cos M)))))
(* (pow m 2) (+ (* -1 (/ (+ (* -1 (/ (+ (cos M) (* K (+ (* -1/8 (* K (* (pow n 2) (cos M)))) (* 1/2 (* n (sin M)))))) m)) (* K (+ (* -1/2 (sin M)) (* 1/4 (* K (* n (cos M))))))) m)) (* -1/8 (* (pow K 2) (cos M)))))
(* (pow m 2) (+ (* -1 (/ (+ (* -1 (/ (+ (cos M) (* K (+ (* -1/8 (* K (* (pow n 2) (cos M)))) (* 1/2 (* n (sin M)))))) m)) (* K (+ (* -1/2 (sin M)) (* 1/4 (* K (* n (cos M))))))) m)) (* -1/8 (* (pow K 2) (cos M)))))
(+ (cos M) (* K (+ (* -1/8 (* K (* (pow m 2) (cos M)))) (* 1/2 (* m (sin M))))))
(+ (cos M) (+ (* K (* n (+ (* -1/4 (* K (* m (cos M)))) (* 1/2 (sin M))))) (* K (+ (* -1/8 (* K (* (pow m 2) (cos M)))) (* 1/2 (* m (sin M)))))))
(+ (cos M) (+ (* K (+ (* -1/8 (* K (* (pow m 2) (cos M)))) (* 1/2 (* m (sin M))))) (* n (+ (* -1/8 (* (pow K 2) (* n (cos M)))) (* K (+ (* -1/4 (* K (* m (cos M)))) (* 1/2 (sin M))))))))
(+ (cos M) (+ (* K (+ (* -1/8 (* K (* (pow m 2) (cos M)))) (* 1/2 (* m (sin M))))) (* n (+ (* -1/8 (* (pow K 2) (* n (cos M)))) (* K (+ (* -1/4 (* K (* m (cos M)))) (* 1/2 (sin M))))))))
(* -1/8 (* (pow K 2) (* (pow n 2) (cos M))))
(* (pow n 2) (+ (* -1/8 (* (pow K 2) (cos M))) (/ (* K (+ (* -1/4 (* K (* m (cos M)))) (* 1/2 (sin M)))) n)))
(* (pow n 2) (+ (* -1/8 (* (pow K 2) (cos M))) (+ (/ (cos M) (pow n 2)) (+ (/ (* K (+ (* -1/4 (* K (* m (cos M)))) (* 1/2 (sin M)))) n) (/ (* K (+ (* -1/8 (* K (* (pow m 2) (cos M)))) (* 1/2 (* m (sin M))))) (pow n 2))))))
(* (pow n 2) (+ (* -1/8 (* (pow K 2) (cos M))) (+ (/ (cos M) (pow n 2)) (+ (/ (* K (+ (* -1/4 (* K (* m (cos M)))) (* 1/2 (sin M)))) n) (/ (* K (+ (* -1/8 (* K (* (pow m 2) (cos M)))) (* 1/2 (* m (sin M))))) (pow n 2))))))
(* -1/8 (* (pow K 2) (* (pow n 2) (cos M))))
(* (pow n 2) (+ (* -1 (/ (* K (+ (* -1/2 (sin M)) (* 1/4 (* K (* m (cos M)))))) n)) (* -1/8 (* (pow K 2) (cos M)))))
(* (pow n 2) (+ (* -1 (/ (+ (* -1 (/ (+ (cos M) (* K (+ (* -1/8 (* K (* (pow m 2) (cos M)))) (* 1/2 (* m (sin M)))))) n)) (* K (+ (* -1/2 (sin M)) (* 1/4 (* K (* m (cos M))))))) n)) (* -1/8 (* (pow K 2) (cos M)))))
(* (pow n 2) (+ (* -1 (/ (+ (* -1 (/ (+ (cos M) (* K (+ (* -1/8 (* K (* (pow m 2) (cos M)))) (* 1/2 (* m (sin M)))))) n)) (* K (+ (* -1/2 (sin M)) (* 1/4 (* K (* m (cos M))))))) n)) (* -1/8 (* (pow K 2) (cos M)))))
(+ 1 (* -1/8 (* (pow K 2) (pow (+ m n) 2))))
(+ 1 (+ (* -1/8 (* (pow K 2) (pow (+ m n) 2))) (* 1/2 (* K (* M (+ m n))))))
(+ 1 (+ (* -1/8 (* (pow K 2) (pow (+ m n) 2))) (* M (+ (* 1/2 (* K (+ m n))) (* M (- (* 1/16 (* (pow K 2) (pow (+ m n) 2))) 1/2))))))
(+ 1 (+ (* -1/8 (* (pow K 2) (pow (+ m n) 2))) (* M (+ (* 1/2 (* K (+ m n))) (* M (- (+ (* -1/12 (* K (* M (+ m n)))) (* 1/16 (* (pow K 2) (pow (+ m n) 2)))) 1/2))))))
(+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n))))))
(+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n))))))
(+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n))))))
(+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n))))))
(+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n))))))
(+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n))))))
(+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n))))))
(+ (cos M) (* K (+ (* -1/8 (* K (* (cos M) (pow (+ m n) 2)))) (* 1/2 (* (sin M) (+ m n))))))
(* -1/8 (* K (cos M)))
(* -1/8 (* K (cos M)))
(* -1/8 (* K (cos M)))
(* -1/8 (* K (cos M)))
(* -1/8 (* K (cos M)))
(* -1/8 (* K (cos M)))
(* -1/8 (* K (cos M)))
(* -1/8 (* K (cos M)))
(* -1/8 (* K (cos M)))
(* -1/8 (* K (cos M)))
(* -1/8 (* K (cos M)))
(* -1/8 (* K (cos M)))
(* -1/8 K)
(+ (* -1/8 K) (* 1/16 (* K (pow M 2))))
(+ (* -1/8 K) (* (pow M 2) (+ (* -1/192 (* K (pow M 2))) (* 1/16 K))))
(+ (* -1/8 K) (* (pow M 2) (+ (* 1/16 K) (* (pow M 2) (+ (* -1/192 K) (* 1/5760 (* K (pow M 2))))))))
(* -1/8 (* K (cos M)))
(* -1/8 (* K (cos M)))
(* -1/8 (* K (cos M)))
(* -1/8 (* K (cos M)))
(* -1/8 (* K (cos M)))
(* -1/8 (* K (cos M)))
(* -1/8 (* K (cos M)))
(* -1/8 (* K (cos M)))

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

simplify185.0ms (1.4%)

Memory

-22.5MiB live, 208.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1099	16465
1	1100	16465
0	1100	16465

Stop Event

1×	saturated
1×	saturated

Counts

380 → 0

Calls

Call 1

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

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

eval269.0ms (2.1%)

Memory: 52.9MiB live, 423.7MiB allocated
Compiler: Compiled 73 649 to 1 240 computations (98.3% saved)

prune102.0ms (0.8%)

Memory

-38.5MiB live, 166.0MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	1 889	7	1 896
Fresh	3	0	3
Picked	5	0	5
Done	0	0	0
Total	1 897	7	1 904

Accuracy

98.9%

Counts

1 904 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.2%	(.f64 (fma.f64 K (fma.f64 (+.f64 m n) (.f64 #s(literal 1/2 binary64) (sin.f64 M)) (.f64 (.f64 (.f64 K #s(literal -1/8 binary64)) (cos.f64 M)) (.f64 (+.f64 m n) (+.f64 m n)))) (cos.f64 M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	26.0%	(.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 -1/8 binary64) (.f64 (.f64 (+.f64 n m) (+.f64 n m)) (*.f64 K K)) #s(literal 1 binary64)))
▶	31.0%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
	50.8%	(.f64 (cos.f64 (.f64 K (.f64 n #s(literal 1/2 binary64)))) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	61.3%	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 n (*.f64 n #s(literal 1/4 binary64)))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	56.6%	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	59.4%	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (*.f64 m m))) (-.f64 l (fabs.f64 (-.f64 m n))))))

Compiler

Compiled 374 to 242 computations (35.3% saved)

simplify334.0ms (2.6%)

Memory

38.9MiB live, 343.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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 (neg.f64 l)))
✓	cost-diff	0	(cos.f64 M)
✓	cost-diff	0	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (*.f64 m m))) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	cost-diff	128	(neg.f64 (.f64 #s(literal 1/4 binary64) (.f64 m m)))
✓	cost-diff	128	(-.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (.f64 m m))) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	cost-diff	0	(exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))
✓	cost-diff	0	(cos.f64 M)
✓	cost-diff	0	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	cost-diff	256	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	cost-diff	0	(fabs.f64 (-.f64 n m))
✓	cost-diff	0	(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l))
✓	cost-diff	0	(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l)))
✓	cost-diff	0	(.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 -1/8 binary64) (.f64 (.f64 (+.f64 n m) (+.f64 n m)) (*.f64 K K)) #s(literal 1 binary64)))
✓	cost-diff	0	(cos.f64 M)
✓	cost-diff	0	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 n (*.f64 n #s(literal 1/4 binary64)))) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	cost-diff	128	(neg.f64 (.f64 n (.f64 n #s(literal 1/4 binary64))))
✓	cost-diff	128	(-.f64 (neg.f64 (.f64 n (.f64 n #s(literal 1/4 binary64)))) (-.f64 l (fabs.f64 (-.f64 m n))))

Rules

6 248×	`lower-fma.f32`
6 244×	`lower-fma.f64`
4 914×	`lower-*.f32`
4 886×	`lower-*.f64`
2 880×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	403
0	91	399
1	203	395
2	527	391
3	1809	391
4	7874	391
0	8461	382

Stop Event

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

Calls

Call 1

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

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

localize271.0ms (2.1%)

Memory

-12.9MiB live, 550.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.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 (neg.f64 l)))
✓	accuracy	100.0%	(*.f64 K (+.f64 m n))
✓	accuracy	35.1%	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
✓	accuracy	100.0%	(fabs.f64 (-.f64 m n))
✓	accuracy	100.0%	(exp.f64 (-.f64 (neg.f64 (.f64 #s(literal 1/4 binary64) (.f64 m m))) (-.f64 l (fabs.f64 (-.f64 m n)))))
✓	accuracy	100.0%	(.f64 #s(literal 1/4 binary64) (.f64 m m))
✓	accuracy	100.0%	(cos.f64 M)
✓	accuracy	100.0%	(fabs.f64 (-.f64 m n))
✓	accuracy	100.0%	(exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))
✓	accuracy	100.0%	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	accuracy	100.0%	(cos.f64 M)
✓	accuracy	100.0%	(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l))
✓	accuracy	100.0%	(*.f64 (+.f64 n m) (+.f64 n m))
✓	accuracy	74.7%	(.f64 (.f64 (+.f64 n m) (+.f64 n m)) (*.f64 K K))
✓	accuracy	56.5%	(.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 -1/8 binary64) (.f64 (.f64 (+.f64 n m) (+.f64 n m)) (*.f64 K K)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fabs.f64 (-.f64 m n))
✓	accuracy	100.0%	(exp.f64 (-.f64 (neg.f64 (.f64 n (.f64 n #s(literal 1/4 binary64)))) (-.f64 l (fabs.f64 (-.f64 m n)))))
✓	accuracy	100.0%	(-.f64 (neg.f64 (.f64 n (.f64 n #s(literal 1/4 binary64)))) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	accuracy	100.0%	(cos.f64 M)

Samples

170.0ms	219×	1	valid
14.0ms	37×	0	valid

Compiler

Compiled 411 to 53 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-mult: 35.0ms (25.8% of total)

ival-sub: 32.0ms (23.6% of total)

adjust: 19.0ms (14% of total)

ival-cos: 16.0ms (11.8% of total)

ival-exp: 11.0ms (8.1% of total)

ival-add: 8.0ms (5.9% of total)

ival-neg: 7.0ms (5.2% of total)

ival-fabs: 4.0ms (2.9% of total)

ival-div: 3.0ms (2.2% of total)

exact: 1.0ms (0.7% of total)

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

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

series42.0ms (0.3%)

Memory

26.2MiB live, 101.6MiB allocated

Counts

16 → 588

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow M 2)))>
#<alt (+ 1 (* (pow M 2) (- (* 1/24 (pow M 2)) 1/2)))>
#<alt (+ 1 (* (pow M 2) (- (* (pow M 2) (+ 1/24 (* -1/720 (pow M 2)))) 1/2)))>
#<alt (cos M)>
#<alt (cos M)>
#<alt (cos M)>
#<alt (cos M)>
#<alt (cos M)>
#<alt (cos M)>
#<alt (cos M)>
#<alt (cos M)>
#<alt (- (fabs (- m n)) l)>
#<alt (- (+ (fabs (- m n)) (* -1/4 (pow n 2))) l)>
#<alt (- (+ (fabs (- m n)) (* -1/4 (pow n 2))) l)>
#<alt (- (+ (fabs (- m n)) (* -1/4 (pow n 2))) l)>
#<alt (* -1/4 (pow n 2))>
#<alt (* (pow n 2) (- (/ (fabs (- m n)) (pow n 2)) (+ 1/4 (/ l (pow n 2)))))>
#<alt (* (pow n 2) (- (/ (fabs (- m n)) (pow n 2)) (+ 1/4 (/ l (pow n 2)))))>
#<alt (* (pow n 2) (- (/ (fabs (- m n)) (pow n 2)) (+ 1/4 (/ l (pow n 2)))))>
#<alt (* -1/4 (pow n 2))>
#<alt (* (pow n 2) (- (/ (fabs (+ m (* -1 n))) (pow n 2)) (+ 1/4 (/ l (pow n 2)))))>
#<alt (* (pow n 2) (- (/ (fabs (+ m (* -1 n))) (pow n 2)) (+ 1/4 (/ l (pow n 2)))))>
#<alt (* (pow n 2) (- (/ (fabs (+ m (* -1 n))) (pow n 2)) (+ 1/4 (/ l (pow n 2)))))>
#<alt (- (fabs (- m n)) (* 1/4 (pow n 2)))>
#<alt (- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow n 2)))>
#<alt (- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow n 2)))>
#<alt (- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow n 2)))>
#<alt (* -1 l)>
#<alt (* l (- (/ (fabs (- m n)) l) (+ 1 (* 1/4 (/ (pow n 2) l)))))>
#<alt (* l (- (/ (fabs (- m n)) l) (+ 1 (* 1/4 (/ (pow n 2) l)))))>
#<alt (* l (- (/ (fabs (- m n)) l) (+ 1 (* 1/4 (/ (pow n 2) l)))))>
#<alt (* -1 l)>
#<alt (* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (* 1/4 (pow n 2))) l)))))>
#<alt (* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (* 1/4 (pow n 2))) l)))))>
#<alt (* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (* 1/4 (pow n 2))) l)))))>
#<alt (- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))>
#<alt (- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))>
#<alt (- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))>
#<alt (- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))>
#<alt (- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))>
#<alt (- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))>
#<alt (- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))>
#<alt (- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))>
#<alt (- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2))))>
#<alt (- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2))))>
#<alt (- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2))))>
#<alt (- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2))))>
#<alt (exp (- (fabs (- m n)) l))>
#<alt (+ (exp (- (fabs (- m n)) l)) (* -1/4 (* (pow n 2) (exp (- (fabs (- m n)) l)))))>
#<alt (+ (exp (- (fabs (- m n)) l)) (* (pow n 2) (+ (* -1/4 (exp (- (fabs (- m n)) l))) (* 1/32 (* (pow n 2) (exp (- (fabs (- m n)) l)))))))>
#<alt (+ (exp (- (fabs (- m n)) l)) (* (pow n 2) (+ (* -1/4 (exp (- (fabs (- m n)) l))) (* (pow n 2) (+ (* -1/384 (* (pow n 2) (exp (- (fabs (- m n)) l)))) (* 1/32 (exp (- (fabs (- m n)) l))))))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (+ m (* -1 n))) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (+ m (* -1 n))) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (+ m (* -1 n))) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (+ m (* -1 n))) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (- m n)) (* 1/4 (pow n 2))))>
#<alt (+ (exp (- (fabs (- m n)) (* 1/4 (pow n 2)))) (* -1 (* l (exp (- (fabs (- m n)) (* 1/4 (pow n 2)))))))>
#<alt (+ (exp (- (fabs (- m n)) (* 1/4 (pow n 2)))) (* l (+ (* -1 (exp (- (fabs (- m n)) (* 1/4 (pow n 2))))) (* 1/2 (* l (exp (- (fabs (- m n)) (* 1/4 (pow n 2)))))))))>
#<alt (+ (exp (- (fabs (- m n)) (* 1/4 (pow n 2)))) (* l (+ (* -1 (exp (- (fabs (- m n)) (* 1/4 (pow n 2))))) (* l (+ (* -1/6 (* l (exp (- (fabs (- m n)) (* 1/4 (pow n 2)))))) (* 1/2 (exp (- (fabs (- m n)) (* 1/4 (pow n 2))))))))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow n 2))))>
#<alt (exp (- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow n 2))))>
#<alt (exp (- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow n 2))))>
#<alt (exp (- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow n 2))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2)))))>
#<alt (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2)))))>
#<alt (fabs (- m n))>
#<alt (fabs (- m n))>
#<alt (fabs (- m n))>
#<alt (fabs (- m n))>
#<alt (fabs (- m n))>
#<alt (fabs (- m n))>
#<alt (fabs (- m n))>
#<alt (fabs (- m n))>
#<alt (fabs (neg (+ n (* -1 m))))>
#<alt (fabs (neg (+ n (* -1 m))))>
#<alt (fabs (neg (+ n (* -1 m))))>
#<alt (fabs (neg (+ n (* -1 m))))>
#<alt (fabs (- m n))>
#<alt (fabs (- m n))>
#<alt (fabs (- m n))>
#<alt (fabs (- m n))>
#<alt (fabs (- m n))>
#<alt (fabs (- m n))>
#<alt (fabs (- m n))>
#<alt (fabs (- m n))>
#<alt (fabs (+ m (* -1 n)))>
#<alt (fabs (+ m (* -1 n)))>
#<alt (fabs (+ m (* -1 n)))>
#<alt (fabs (+ m (* -1 n)))>
#<alt (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2)))))>
#<alt (+ (* n (+ (* -1/2 (* m (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))))) (* -1/4 (* (pow K 2) (* m (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2)))))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))))>
#<alt (+ (* n (+ (* -1/2 (* m (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))))) (+ (* -1/4 (* (pow K 2) (* m (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2)))))))) (* n (+ (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))))) (+ (* 1/8 (* (pow K 2) (* (pow m 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2)))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (* (+ 1 (* -1/8 (* (pow K 2) (pow m 2)))) (- (* 1/8 (pow m 2)) 1/4))))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))))>
#<alt (+ (* n (+ (* -1/2 (* m (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))))) (+ (* -1/4 (* (pow K 2) (* m (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2)))))))) (* n (+ (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))))) (+ (* 1/8 (* (pow K 2) (* (pow m 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2)))))))) (+ (* n (+ (* -1/4 (* (pow K 2) (* m (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (- (* 1/8 (pow m 2)) 1/4))))) (+ (* 1/16 (* (pow K 2) (* m (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2)))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (* (+ 1 (* -1/8 (* (pow K 2) (pow m 2)))) (+ (* -1/48 (pow m 3)) (* 1/8 m))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (* (+ 1 (* -1/8 (* (pow K 2) (pow m 2)))) (- (* 1/8 (pow m 2)) 1/4)))))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))))>
#<alt (* -1/8 (* (pow K 2) (* (pow n 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))))>
#<alt (* (pow n 2) (+ (* -1/4 (/ (* (pow K 2) (* m (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) n)) (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2)))))))))>
#<alt (* (pow n 2) (+ (* -1/4 (/ (* (pow K 2) (* m (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) n)) (+ (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) (/ (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))) (pow n 2)))))>
#<alt (* (pow n 2) (+ (* -1/4 (/ (* (pow K 2) (* m (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) n)) (+ (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) (/ (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))) (pow n 2)))))>
#<alt (* -1/8 (* (pow K 2) (* (pow n 2) (exp (- (fabs (neg (+ m (* -1 n)))) (+ l (* 1/4 (pow (- m (* -1 n)) 2))))))))>
#<alt (* (pow n 2) (+ (* -1/4 (/ (* (pow K 2) (* m (exp (- (fabs (neg (+ m (* -1 n)))) (+ l (* 1/4 (pow (- m (* -1 n)) 2))))))) n)) (* -1/8 (* (pow K 2) (exp (- (fabs (neg (+ m (* -1 n)))) (+ l (* 1/4 (pow (- m (* -1 n)) 2)))))))))>
#<alt (* (pow n 2) (+ (* -1 (/ (+ (* -1 (/ (* (exp (- (fabs (neg (+ m (* -1 n)))) (+ l (* 1/4 (pow (- m (* -1 n)) 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))) n)) (* 1/4 (* (pow K 2) (* m (exp (- (fabs (neg (+ m (* -1 n)))) (+ l (* 1/4 (pow (- m (* -1 n)) 2))))))))) n)) (* -1/8 (* (pow K 2) (exp (- (fabs (neg (+ m (* -1 n)))) (+ l (* 1/4 (pow (- m (* -1 n)) 2)))))))))>
#<alt (* (pow n 2) (+ (* -1 (/ (+ (* -1 (/ (* (exp (- (fabs (neg (+ m (* -1 n)))) (+ l (* 1/4 (pow (- m (* -1 n)) 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))) n)) (* 1/4 (* (pow K 2) (* m (exp (- (fabs (neg (+ m (* -1 n)))) (+ l (* 1/4 (pow (- m (* -1 n)) 2))))))))) n)) (* -1/8 (* (pow K 2) (exp (- (fabs (neg (+ m (* -1 n)))) (+ l (* 1/4 (pow (- m (* -1 n)) 2)))))))))>
#<alt (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2)))))>
#<alt (+ (* m (+ (* -1/2 (* n (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))))) (* -1/4 (* (pow K 2) (* n (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2)))))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))))>
#<alt (+ (* m (+ (* -1/2 (* n (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))))) (+ (* -1/4 (* (pow K 2) (* n (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2)))))))) (* m (+ (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))))) (+ (* 1/8 (* (pow K 2) (* (pow n 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2)))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (* (+ 1 (* -1/8 (* (pow K 2) (pow n 2)))) (- (* 1/8 (pow n 2)) 1/4))))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))))>
#<alt (+ (* m (+ (* -1/2 (* n (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))))) (+ (* -1/4 (* (pow K 2) (* n (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2)))))))) (* m (+ (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))))) (+ (* 1/8 (* (pow K 2) (* (pow n 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2)))))))) (+ (* m (+ (* -1/4 (* (pow K 2) (* n (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (- (* 1/8 (pow n 2)) 1/4))))) (+ (* 1/16 (* (pow K 2) (* n (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2)))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (* (+ 1 (* -1/8 (* (pow K 2) (pow n 2)))) (+ (* -1/48 (pow n 3)) (* 1/8 n))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (* (+ 1 (* -1/8 (* (pow K 2) (pow n 2)))) (- (* 1/8 (pow n 2)) 1/4)))))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))))>
#<alt (* -1/8 (* (pow K 2) (* (pow m 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))))>
#<alt (* (pow m 2) (+ (* -1/4 (/ (* (pow K 2) (* n (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) m)) (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2)))))))))>
#<alt (* (pow m 2) (+ (* -1/4 (/ (* (pow K 2) (* n (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) m)) (+ (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) (/ (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))) (pow m 2)))))>
#<alt (* (pow m 2) (+ (* -1/4 (/ (* (pow K 2) (* n (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) m)) (+ (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) (/ (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))) (pow m 2)))))>
#<alt (* -1/8 (* (pow K 2) (* (pow m 2) (exp (- (fabs (+ n (* -1 m))) (+ l (* 1/4 (pow (- n (* -1 m)) 2))))))))>
#<alt (* (pow m 2) (+ (* -1/4 (/ (* (pow K 2) (* n (exp (- (fabs (+ n (* -1 m))) (+ l (* 1/4 (pow (- n (* -1 m)) 2))))))) m)) (* -1/8 (* (pow K 2) (exp (- (fabs (+ n (* -1 m))) (+ l (* 1/4 (pow (- n (* -1 m)) 2)))))))))>
#<alt (* (pow m 2) (+ (* -1 (/ (+ (* -1 (/ (* (exp (- (fabs (+ n (* -1 m))) (+ l (* 1/4 (pow (- n (* -1 m)) 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))) m)) (* 1/4 (* (pow K 2) (* n (exp (- (fabs (+ n (* -1 m))) (+ l (* 1/4 (pow (- n (* -1 m)) 2))))))))) m)) (* -1/8 (* (pow K 2) (exp (- (fabs (+ n (* -1 m))) (+ l (* 1/4 (pow (- n (* -1 m)) 2)))))))))>
#<alt (* (pow m 2) (+ (* -1 (/ (+ (* -1 (/ (* (exp (- (fabs (+ n (* -1 m))) (+ l (* 1/4 (pow (- n (* -1 m)) 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))) m)) (* 1/4 (* (pow K 2) (* n (exp (- (fabs (+ n (* -1 m))) (+ l (* 1/4 (pow (- n (* -1 m)) 2))))))))) m)) (* -1/8 (* (pow K 2) (exp (- (fabs (+ n (* -1 m))) (+ l (* 1/4 (pow (- n (* -1 m)) 2)))))))))>
#<alt (* (exp (- (fabs (- n m)) (* 1/4 (pow (+ m n) 2)))) (+ 1 (* -1/8 (* (pow K 2) (pow (+ m n) 2)))))>
#<alt (+ (* -1 (* l (* (exp (- (fabs (- n m)) (* 1/4 (pow (+ m n) 2)))) (+ 1 (* -1/8 (* (pow K 2) (pow (+ m n) 2))))))) (* (exp (- (fabs (- n m)) (* 1/4 (pow (+ m n) 2)))) (+ 1 (* -1/8 (* (pow K 2) (pow (+ m n) 2))))))>
#<alt (+ (* l (+ (* -1 (* (exp (- (fabs (- n m)) (* 1/4 (pow (+ m n) 2)))) (+ 1 (* -1/8 (* (pow K 2) (pow (+ m n) 2)))))) (* 1/2 (* l (* (exp (- (fabs (- n m)) (* 1/4 (pow (+ m n) 2)))) (+ 1 (* -1/8 (* (pow K 2) (pow (+ m n) 2))))))))) (* (exp (- (fabs (- n m)) (* 1/4 (pow (+ m n) 2)))) (+ 1 (* -1/8 (* (pow K 2) (pow (+ m n) 2))))))>
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#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow m 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow m 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow m 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow m 2)))))>
#<alt (exp (- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow m 2))))>
#<alt (exp (- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow m 2))))>
#<alt (exp (- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow m 2))))>
#<alt (exp (- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow m 2))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow m 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow m 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow m 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow m 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow m 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow m 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow m 2)))))>
#<alt (exp (- (fabs (- m n)) (+ l (* 1/4 (pow m 2)))))>
#<alt (exp (- (fabs (+ m (* -1 n))) (+ l (* 1/4 (pow m 2)))))>
#<alt (exp (- (fabs (+ m (* -1 n))) (+ l (* 1/4 (pow m 2)))))>
#<alt (exp (- (fabs (+ m (* -1 n))) (+ l (* 1/4 (pow m 2)))))>
#<alt (exp (- (fabs (+ m (* -1 n))) (+ l (* 1/4 (pow m 2)))))>
#<alt (cos (neg M))>
#<alt (+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))>
#<alt (+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))>
#<alt (+ (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))))))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K n)) M))>
#<alt (+ (cos (- (* 1/2 (* K n)) M)) (* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M))))))>
#<alt (+ (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)))))))>
#<alt (+ (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)))))))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (- n (* -1 m)))) M))>
#<alt (cos (- (* 1/2 (* K (- n (* -1 m)))) M))>
#<alt (cos (- (* 1/2 (* K (- n (* -1 m)))) M))>
#<alt (cos (- (* 1/2 (* K (- n (* -1 m)))) M))>
#<alt (cos (- (* 1/2 (* K m)) M))>
#<alt (+ (cos (- (* 1/2 (* K m)) M)) (* -1/2 (* K (* n (sin (- (* 1/2 (* K m)) M))))))>
#<alt (+ (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)))))))>
#<alt (+ (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)))))))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (- m (* -1 n)))) M))>
#<alt (cos (- (* 1/2 (* K (- m (* -1 n)))) M))>
#<alt (cos (- (* 1/2 (* K (- m (* -1 n)))) M))>
#<alt (cos (- (* 1/2 (* K (- m (* -1 n)))) M))>
#<alt (cos (* 1/2 (* K (+ m n))))>
#<alt (+ (cos (* 1/2 (* K (+ m n)))) (* M (sin (* 1/2 (* K (+ m n))))))>
#<alt (+ (cos (* 1/2 (* K (+ m n)))) (* M (- (* -1/2 (* M (cos (* 1/2 (* K (+ m n)))))) (* -1 (sin (* 1/2 (* K (+ m n))))))))>
#<alt (+ (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))))))))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))>
#<alt (cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))>
#<alt (cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))>
#<alt (cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K (+ m n))>
#<alt (* K n)>
#<alt (+ (* K m) (* K n))>
#<alt (+ (* K m) (* K n))>
#<alt (+ (* K m) (* K n))>
#<alt (* K m)>
#<alt (* m (+ K (/ (* K n) m)))>
#<alt (* m (+ K (/ (* K n) m)))>
#<alt (* m (+ K (/ (* K n) m)))>
#<alt (* K m)>
#<alt (* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))>
#<alt (* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))>
#<alt (* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))>
#<alt (* K m)>
#<alt (+ (* K m) (* K n))>
#<alt (+ (* K m) (* K n))>
#<alt (+ (* K m) (* K n))>
#<alt (* K n)>
#<alt (* n (+ K (/ (* K m) n)))>
#<alt (* n (+ K (/ (* K m) n)))>
#<alt (* n (+ K (/ (* K m) n)))>
#<alt (* K n)>
#<alt (* -1 (* n (+ (* -1 K) (* -1 (/ (* K m) n)))))>
#<alt (* -1 (* n (+ (* -1 K) (* -1 (/ (* K m) n)))))>
#<alt (* -1 (* n (+ (* -1 K) (* -1 (/ (* K m) n)))))>
#<alt (* (cos (neg M)) (exp (neg l)))>
#<alt (+ (* -1/2 (* K (* (exp (neg l)) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (neg l))))>
#<alt (+ (* K (+ (* -1/2 (* (exp (neg l)) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (neg l)) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (neg l))))>
#<alt (+ (* K (+ (* -1/2 (* (exp (neg l)) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (neg l)) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (neg l)) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (neg l))))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K n)) M)) (exp (neg l)))>
#<alt (+ (* -1/2 (* K (* m (* (exp (neg l)) (sin (- (* 1/2 (* K n)) M)))))) (* (cos (- (* 1/2 (* K n)) M)) (exp (neg l))))>
#<alt (+ (* m (+ (* -1/2 (* K (* (exp (neg l)) (sin (- (* 1/2 (* K n)) M))))) (* -1/8 (* (pow K 2) (* m (* (cos (- (* 1/2 (* K n)) M)) (exp (neg l)))))))) (* (cos (- (* 1/2 (* K n)) M)) (exp (neg l))))>
#<alt (+ (* m (+ (* -1/2 (* K (* (exp (neg l)) (sin (- (* 1/2 (* K n)) M))))) (* m (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K n)) M)) (exp (neg l))))) (* 1/48 (* (pow K 3) (* m (* (exp (neg l)) (sin (- (* 1/2 (* K n)) M)))))))))) (* (cos (- (* 1/2 (* K n)) M)) (exp (neg l))))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K m)) M)) (exp (neg l)))>
#<alt (+ (* -1/2 (* K (* n (* (exp (neg l)) (sin (- (* 1/2 (* K m)) M)))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (neg l))))>
#<alt (+ (* n (+ (* -1/2 (* K (* (exp (neg l)) (sin (- (* 1/2 (* K m)) M))))) (* -1/8 (* (pow K 2) (* n (* (cos (- (* 1/2 (* K m)) M)) (exp (neg l)))))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (neg l))))>
#<alt (+ (* n (+ (* -1/2 (* K (* (exp (neg l)) (sin (- (* 1/2 (* K m)) M))))) (* n (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K m)) M)) (exp (neg l))))) (* 1/48 (* (pow K 3) (* n (* (exp (neg l)) (sin (- (* 1/2 (* K m)) M)))))))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (neg l))))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (neg l)))>
#<alt (* (cos (* 1/2 (* K (+ m n)))) (exp (neg l)))>
#<alt (+ (* M (* (exp (neg l)) (sin (* 1/2 (* K (+ m n)))))) (* (cos (* 1/2 (* K (+ m n)))) (exp (neg l))))>
#<alt (+ (* M (+ (* -1/2 (* M (* (cos (* 1/2 (* K (+ m n)))) (exp (neg l))))) (* (exp (neg l)) (sin (* 1/2 (* K (+ m n))))))) (* (cos (* 1/2 (* K (+ m n)))) (exp (neg l))))>
#<alt (+ (* M (+ (* M (+ (* -1/2 (* (cos (* 1/2 (* K (+ m n)))) (exp (neg l)))) (* -1/6 (* M (* (exp (neg l)) (sin (* 1/2 (* K (+ m n))))))))) (* (exp (neg l)) (sin (* 1/2 (* K (+ m n))))))) (* (cos (* 1/2 (* K (+ m n)))) (exp (neg l))))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (neg l)))>
#<alt (* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (neg l)))>
#<alt (* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (neg l)))>
#<alt (* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (neg l)))>
#<alt (cos (- (* 1/2 (* K (+ m n))) M))>
#<alt (+ (cos (- (* 1/2 (* K (+ m n))) M)) (* -1 (* l (cos (- (* 1/2 (* K (+ m n))) M)))))>
#<alt (+ (cos (- (* 1/2 (* K (+ m n))) M)) (* l (+ (* -1 (cos (- (* 1/2 (* K (+ m n))) M))) (* 1/2 (* l (cos (- (* 1/2 (* K (+ m n))) M)))))))>
#<alt (+ (cos (- (* 1/2 (* K (+ m n))) M)) (* l (+ (* -1 (cos (- (* 1/2 (* K (+ m n))) M))) (* l (+ (* -1/6 (* l (cos (- (* 1/2 (* K (+ m n))) M)))) (* 1/2 (cos (- (* 1/2 (* K (+ m n))) M))))))))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (* -1 l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (* -1 l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (* -1 l)))>
#<alt (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (* -1 l)))>
#<alt (* -1 M)>
#<alt (- (* 1/2 (* K (+ m n))) M)>
#<alt (- (* 1/2 (* K (+ m n))) M)>
#<alt (- (* 1/2 (* K (+ m n))) M)>
#<alt (* 1/2 (* K (+ m n)))>
#<alt (* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))>
#<alt (* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))>
#<alt (* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))>
#<alt (* 1/2 (* K (+ m n)))>
#<alt (* -1 (* K (+ (* -1/2 (+ m n)) (/ M K))))>
#<alt (* -1 (* K (+ (* -1/2 (+ m n)) (/ M K))))>
#<alt (* -1 (* K (+ (* -1/2 (+ m n)) (/ M K))))>
#<alt (- (* 1/2 (* K n)) M)>
#<alt (- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)>
#<alt (- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)>
#<alt (- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)>
#<alt (* 1/2 (* K m))>
#<alt (* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m)))>
#<alt (* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m)))>
#<alt (* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m)))>
#<alt (* 1/2 (* K m))>
#<alt (* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))>
#<alt (* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))>
#<alt (* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))>
#<alt (- (* 1/2 (* K m)) M)>
#<alt (- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)>
#<alt (- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)>
#<alt (- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)>
#<alt (* 1/2 (* K n))>
#<alt (* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n)))>
#<alt (* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n)))>
#<alt (* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n)))>
#<alt (* 1/2 (* K n))>
#<alt (* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K))))>
#<alt (* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K))))>
#<alt (* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K))))>
#<alt (* 1/2 (* K (+ m n)))>
#<alt (+ (* -1 M) (* 1/2 (* K (+ m n))))>
#<alt (+ (* -1 M) (* 1/2 (* K (+ m n))))>
#<alt (+ (* -1 M) (* 1/2 (* K (+ m n))))>
#<alt (* -1 M)>
#<alt (* M (- (* 1/2 (/ (* K (+ m n)) M)) 1))>
#<alt (* M (- (* 1/2 (/ (* K (+ m n)) M)) 1))>
#<alt (* M (- (* 1/2 (/ (* K (+ m n)) M)) 1))>
#<alt (* -1 M)>
#<alt (* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M)))))>
#<alt (* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M)))))>
#<alt (* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M)))))>

Calls

147 calls:

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

rewrite406.0ms (3.1%)

Memory

5.9MiB live, 684.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 250×	`lower-*.f32`
6 228×	`lower-*.f64`
4 954×	`lower-fma.f32`
4 950×	`lower-fma.f64`
3 184×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	177
0	85	166
1	331	159
2	2668	159
0	9113	157

Stop Event

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

Counts

16 → 697

Calls

Call 1

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

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

simplify456.0ms (3.5%)

Memory

-33.0MiB live, 704.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 410×	`lower-fma.f64`
8 410×	`lower-fma.f32`
6 360×	`lower-*.f64`
6 360×	`lower-*.f32`
4 712×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	879	10416
1	2808	10008
2	6702	9928
0	8730	9335

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (pow M 2)))
(+ 1 (* (pow M 2) (- (* 1/24 (pow M 2)) 1/2)))
(+ 1 (* (pow M 2) (- (* (pow M 2) (+ 1/24 (* -1/720 (pow M 2)))) 1/2)))
(cos M)
(cos M)
(cos M)
(cos M)
(cos M)
(cos M)
(cos M)
(cos M)
(- (fabs (- m n)) l)
(- (+ (fabs (- m n)) (* -1/4 (pow n 2))) l)
(- (+ (fabs (- m n)) (* -1/4 (pow n 2))) l)
(- (+ (fabs (- m n)) (* -1/4 (pow n 2))) l)
(* -1/4 (pow n 2))
(* (pow n 2) (- (/ (fabs (- m n)) (pow n 2)) (+ 1/4 (/ l (pow n 2)))))
(* (pow n 2) (- (/ (fabs (- m n)) (pow n 2)) (+ 1/4 (/ l (pow n 2)))))
(* (pow n 2) (- (/ (fabs (- m n)) (pow n 2)) (+ 1/4 (/ l (pow n 2)))))
(* -1/4 (pow n 2))
(* (pow n 2) (- (/ (fabs (+ m (* -1 n))) (pow n 2)) (+ 1/4 (/ l (pow n 2)))))
(* (pow n 2) (- (/ (fabs (+ m (* -1 n))) (pow n 2)) (+ 1/4 (/ l (pow n 2)))))
(* (pow n 2) (- (/ (fabs (+ m (* -1 n))) (pow n 2)) (+ 1/4 (/ l (pow n 2)))))
(- (fabs (- m n)) (* 1/4 (pow n 2)))
(- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow n 2)))
(- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow n 2)))
(- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow n 2)))
(* -1 l)
(* l (- (/ (fabs (- m n)) l) (+ 1 (* 1/4 (/ (pow n 2) l)))))
(* l (- (/ (fabs (- m n)) l) (+ 1 (* 1/4 (/ (pow n 2) l)))))
(* l (- (/ (fabs (- m n)) l) (+ 1 (* 1/4 (/ (pow n 2) l)))))
(* -1 l)
(* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (* 1/4 (pow n 2))) l)))))
(* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (* 1/4 (pow n 2))) l)))))
(* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (* 1/4 (pow n 2))) l)))))
(- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))
(- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))
(- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))
(- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))
(- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))
(- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))
(- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))
(- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))
(- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2))))
(- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2))))
(- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2))))
(- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2))))
(exp (- (fabs (- m n)) l))
(+ (exp (- (fabs (- m n)) l)) (* -1/4 (* (pow n 2) (exp (- (fabs (- m n)) l)))))
(+ (exp (- (fabs (- m n)) l)) (* (pow n 2) (+ (* -1/4 (exp (- (fabs (- m n)) l))) (* 1/32 (* (pow n 2) (exp (- (fabs (- m n)) l)))))))
(+ (exp (- (fabs (- m n)) l)) (* (pow n 2) (+ (* -1/4 (exp (- (fabs (- m n)) l))) (* (pow n 2) (+ (* -1/384 (* (pow n 2) (exp (- (fabs (- m n)) l)))) (* 1/32 (exp (- (fabs (- m n)) l))))))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (+ m (* -1 n))) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (+ m (* -1 n))) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (+ m (* -1 n))) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (+ m (* -1 n))) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (- m n)) (* 1/4 (pow n 2))))
(+ (exp (- (fabs (- m n)) (* 1/4 (pow n 2)))) (* -1 (* l (exp (- (fabs (- m n)) (* 1/4 (pow n 2)))))))
(+ (exp (- (fabs (- m n)) (* 1/4 (pow n 2)))) (* l (+ (* -1 (exp (- (fabs (- m n)) (* 1/4 (pow n 2))))) (* 1/2 (* l (exp (- (fabs (- m n)) (* 1/4 (pow n 2)))))))))
(+ (exp (- (fabs (- m n)) (* 1/4 (pow n 2)))) (* l (+ (* -1 (exp (- (fabs (- m n)) (* 1/4 (pow n 2))))) (* l (+ (* -1/6 (* l (exp (- (fabs (- m n)) (* 1/4 (pow n 2)))))) (* 1/2 (exp (- (fabs (- m n)) (* 1/4 (pow n 2))))))))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))
(exp (- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow n 2))))
(exp (- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow n 2))))
(exp (- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow n 2))))
(exp (- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow n 2))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2)))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2)))))
(fabs (- m n))
(fabs (- m n))
(fabs (- m n))
(fabs (- m n))
(fabs (- m n))
(fabs (- m n))
(fabs (- m n))
(fabs (- m n))
(fabs (neg (+ n (* -1 m))))
(fabs (neg (+ n (* -1 m))))
(fabs (neg (+ n (* -1 m))))
(fabs (neg (+ n (* -1 m))))
(fabs (- m n))
(fabs (- m n))
(fabs (- m n))
(fabs (- m n))
(fabs (- m n))
(fabs (- m n))
(fabs (- m n))
(fabs (- m n))
(fabs (+ m (* -1 n)))
(fabs (+ m (* -1 n)))
(fabs (+ m (* -1 n)))
(fabs (+ m (* -1 n)))
(* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2)))))
(+ (* n (+ (* -1/2 (* m (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))))) (* -1/4 (* (pow K 2) (* m (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2)))))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))))
(+ (* n (+ (* -1/2 (* m (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))))) (+ (* -1/4 (* (pow K 2) (* m (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2)))))))) (* n (+ (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))))) (+ (* 1/8 (* (pow K 2) (* (pow m 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2)))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (* (+ 1 (* -1/8 (* (pow K 2) (pow m 2)))) (- (* 1/8 (pow m 2)) 1/4))))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))))
(+ (* n (+ (* -1/2 (* m (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))))) (+ (* -1/4 (* (pow K 2) (* m (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2)))))))) (* n (+ (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))))) (+ (* 1/8 (* (pow K 2) (* (pow m 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2)))))))) (+ (* n (+ (* -1/4 (* (pow K 2) (* m (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (- (* 1/8 (pow m 2)) 1/4))))) (+ (* 1/16 (* (pow K 2) (* m (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2)))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (* (+ 1 (* -1/8 (* (pow K 2) (pow m 2)))) (+ (* -1/48 (pow m 3)) (* 1/8 m))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (* (+ 1 (* -1/8 (* (pow K 2) (pow m 2)))) (- (* 1/8 (pow m 2)) 1/4)))))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow m 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))))
(* -1/8 (* (pow K 2) (* (pow n 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))))
(* (pow n 2) (+ (* -1/4 (/ (* (pow K 2) (* m (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) n)) (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2)))))))))
(* (pow n 2) (+ (* -1/4 (/ (* (pow K 2) (* m (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) n)) (+ (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) (/ (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))) (pow n 2)))))
(* (pow n 2) (+ (* -1/4 (/ (* (pow K 2) (* m (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) n)) (+ (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) (/ (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))) (pow n 2)))))
(* -1/8 (* (pow K 2) (* (pow n 2) (exp (- (fabs (neg (+ m (* -1 n)))) (+ l (* 1/4 (pow (- m (* -1 n)) 2))))))))
(* (pow n 2) (+ (* -1/4 (/ (* (pow K 2) (* m (exp (- (fabs (neg (+ m (* -1 n)))) (+ l (* 1/4 (pow (- m (* -1 n)) 2))))))) n)) (* -1/8 (* (pow K 2) (exp (- (fabs (neg (+ m (* -1 n)))) (+ l (* 1/4 (pow (- m (* -1 n)) 2)))))))))
(* (pow n 2) (+ (* -1 (/ (+ (* -1 (/ (* (exp (- (fabs (neg (+ m (* -1 n)))) (+ l (* 1/4 (pow (- m (* -1 n)) 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))) n)) (* 1/4 (* (pow K 2) (* m (exp (- (fabs (neg (+ m (* -1 n)))) (+ l (* 1/4 (pow (- m (* -1 n)) 2))))))))) n)) (* -1/8 (* (pow K 2) (exp (- (fabs (neg (+ m (* -1 n)))) (+ l (* 1/4 (pow (- m (* -1 n)) 2)))))))))
(* (pow n 2) (+ (* -1 (/ (+ (* -1 (/ (* (exp (- (fabs (neg (+ m (* -1 n)))) (+ l (* 1/4 (pow (- m (* -1 n)) 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))) n)) (* 1/4 (* (pow K 2) (* m (exp (- (fabs (neg (+ m (* -1 n)))) (+ l (* 1/4 (pow (- m (* -1 n)) 2))))))))) n)) (* -1/8 (* (pow K 2) (exp (- (fabs (neg (+ m (* -1 n)))) (+ l (* 1/4 (pow (- m (* -1 n)) 2)))))))))
(* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2)))))
(+ (* m (+ (* -1/2 (* n (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))))) (* -1/4 (* (pow K 2) (* n (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2)))))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))))
(+ (* m (+ (* -1/2 (* n (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))))) (+ (* -1/4 (* (pow K 2) (* n (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2)))))))) (* m (+ (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))))) (+ (* 1/8 (* (pow K 2) (* (pow n 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2)))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (* (+ 1 (* -1/8 (* (pow K 2) (pow n 2)))) (- (* 1/8 (pow n 2)) 1/4))))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))))
(+ (* m (+ (* -1/2 (* n (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))))) (+ (* -1/4 (* (pow K 2) (* n (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2)))))))) (* m (+ (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))))) (+ (* 1/8 (* (pow K 2) (* (pow n 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2)))))))) (+ (* m (+ (* -1/4 (* (pow K 2) (* n (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (- (* 1/8 (pow n 2)) 1/4))))) (+ (* 1/16 (* (pow K 2) (* n (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2)))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (* (+ 1 (* -1/8 (* (pow K 2) (pow n 2)))) (+ (* -1/48 (pow n 3)) (* 1/8 n))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (* (+ 1 (* -1/8 (* (pow K 2) (pow n 2)))) (- (* 1/8 (pow n 2)) 1/4)))))))))) (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow n 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))))
(* -1/8 (* (pow K 2) (* (pow m 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))))
(* (pow m 2) (+ (* -1/4 (/ (* (pow K 2) (* n (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) m)) (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2)))))))))
(* (pow m 2) (+ (* -1/4 (/ (* (pow K 2) (* n (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) m)) (+ (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) (/ (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))) (pow m 2)))))
(* (pow m 2) (+ (* -1/4 (/ (* (pow K 2) (* n (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) m)) (+ (* -1/8 (* (pow K 2) (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))))) (/ (* (exp (- (fabs (- n m)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))) (pow m 2)))))
(* -1/8 (* (pow K 2) (* (pow m 2) (exp (- (fabs (+ n (* -1 m))) (+ l (* 1/4 (pow (- n (* -1 m)) 2))))))))
(* (pow m 2) (+ (* -1/4 (/ (* (pow K 2) (* n (exp (- (fabs (+ n (* -1 m))) (+ l (* 1/4 (pow (- n (* -1 m)) 2))))))) m)) (* -1/8 (* (pow K 2) (exp (- (fabs (+ n (* -1 m))) (+ l (* 1/4 (pow (- n (* -1 m)) 2)))))))))
(* (pow m 2) (+ (* -1 (/ (+ (* -1 (/ (* (exp (- (fabs (+ n (* -1 m))) (+ l (* 1/4 (pow (- n (* -1 m)) 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))) m)) (* 1/4 (* (pow K 2) (* n (exp (- (fabs (+ n (* -1 m))) (+ l (* 1/4 (pow (- n (* -1 m)) 2))))))))) m)) (* -1/8 (* (pow K 2) (exp (- (fabs (+ n (* -1 m))) (+ l (* 1/4 (pow (- n (* -1 m)) 2)))))))))
(* (pow m 2) (+ (* -1 (/ (+ (* -1 (/ (* (exp (- (fabs (+ n (* -1 m))) (+ l (* 1/4 (pow (- n (* -1 m)) 2))))) (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))) m)) (* 1/4 (* (pow K 2) (* n (exp (- (fabs (+ n (* -1 m))) (+ l (* 1/4 (pow (- n (* -1 m)) 2))))))))) m)) (* -1/8 (* (pow K 2) (exp (- (fabs (+ n (* -1 m))) (+ l (* 1/4 (pow (- n (* -1 m)) 2)))))))))
(* (exp (- (fabs (- n m)) (* 1/4 (pow (+ m n) 2)))) (+ 1 (* -1/8 (* (pow K 2) (pow (+ m n) 2)))))
(+ (* -1 (* l (* (exp (- (fabs (- n m)) (* 1/4 (pow (+ m n) 2)))) (+ 1 (* -1/8 (* (pow K 2) (pow (+ m n) 2))))))) (* (exp (- (fabs (- n m)) (* 1/4 (pow (+ m n) 2)))) (+ 1 (* -1/8 (* (pow K 2) (pow (+ m n) 2))))))
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(+ (cos (- (* 1/2 (* K n)) M)) (* m (- (* -1/8 (* (pow K 2) (* m (cos (- (* 1/2 (* K n)) M))))) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(+ (cos (- (* 1/2 (* K n)) M)) (* m (- (* m (+ (* -1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) (* 1/48 (* (pow K 3) (* m (sin (- (* 1/2 (* K n)) M))))))) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K m)) M))
(+ (cos (- (* 1/2 (* K m)) M)) (* -1/2 (* K (* n (sin (- (* 1/2 (* K m)) M))))))
(+ (cos (- (* 1/2 (* K m)) M)) (* n (- (* -1/8 (* (pow K 2) (* n (cos (- (* 1/2 (* K m)) M))))) (* 1/2 (* K (sin (- (* 1/2 (* K m)) M)))))))
(+ (cos (- (* 1/2 (* K m)) M)) (* n (- (* n (+ (* -1/8 (* (pow K 2) (cos (- (* 1/2 (* K m)) M)))) (* 1/48 (* (pow K 3) (* n (sin (- (* 1/2 (* K m)) M))))))) (* 1/2 (* K (sin (- (* 1/2 (* K m)) M)))))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(cos (* 1/2 (* K (+ m n))))
(+ (cos (* 1/2 (* K (+ m n)))) (* M (sin (* 1/2 (* K (+ m n))))))
(+ (cos (* 1/2 (* K (+ m n)))) (* M (- (* -1/2 (* M (cos (* 1/2 (* K (+ m n)))))) (* -1 (sin (* 1/2 (* K (+ m n))))))))
(+ (cos (* 1/2 (* K (+ m n)))) (* M (- (* M (+ (* -1/2 (cos (* 1/2 (* K (+ m n))))) (* -1/6 (* M (sin (* 1/2 (* K (+ m n)))))))) (* -1 (sin (* 1/2 (* K (+ m n))))))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K n)
(+ (* K m) (* K n))
(+ (* K m) (* K n))
(+ (* K m) (* K n))
(* K m)
(* m (+ K (/ (* K n) m)))
(* m (+ K (/ (* K n) m)))
(* m (+ K (/ (* K n) m)))
(* K m)
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(* K m)
(+ (* K m) (* K n))
(+ (* K m) (* K n))
(+ (* K m) (* K n))
(* K n)
(* n (+ K (/ (* K m) n)))
(* n (+ K (/ (* K m) n)))
(* n (+ K (/ (* K m) n)))
(* K n)
(* -1 (* n (+ (* -1 K) (* -1 (/ (* K m) n)))))
(* -1 (* n (+ (* -1 K) (* -1 (/ (* K m) n)))))
(* -1 (* n (+ (* -1 K) (* -1 (/ (* K m) n)))))
(* (cos (neg M)) (exp (neg l)))
(+ (* -1/2 (* K (* (exp (neg l)) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (neg l))))
(+ (* K (+ (* -1/2 (* (exp (neg l)) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (neg l)) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (neg l))))
(+ (* K (+ (* -1/2 (* (exp (neg l)) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (neg l)) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (neg l)) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (neg l))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K n)) M)) (exp (neg l)))
(+ (* -1/2 (* K (* m (* (exp (neg l)) (sin (- (* 1/2 (* K n)) M)))))) (* (cos (- (* 1/2 (* K n)) M)) (exp (neg l))))
(+ (* m (+ (* -1/2 (* K (* (exp (neg l)) (sin (- (* 1/2 (* K n)) M))))) (* -1/8 (* (pow K 2) (* m (* (cos (- (* 1/2 (* K n)) M)) (exp (neg l)))))))) (* (cos (- (* 1/2 (* K n)) M)) (exp (neg l))))
(+ (* m (+ (* -1/2 (* K (* (exp (neg l)) (sin (- (* 1/2 (* K n)) M))))) (* m (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K n)) M)) (exp (neg l))))) (* 1/48 (* (pow K 3) (* m (* (exp (neg l)) (sin (- (* 1/2 (* K n)) M)))))))))) (* (cos (- (* 1/2 (* K n)) M)) (exp (neg l))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K m)) M)) (exp (neg l)))
(+ (* -1/2 (* K (* n (* (exp (neg l)) (sin (- (* 1/2 (* K m)) M)))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (neg l))))
(+ (* n (+ (* -1/2 (* K (* (exp (neg l)) (sin (- (* 1/2 (* K m)) M))))) (* -1/8 (* (pow K 2) (* n (* (cos (- (* 1/2 (* K m)) M)) (exp (neg l)))))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (neg l))))
(+ (* n (+ (* -1/2 (* K (* (exp (neg l)) (sin (- (* 1/2 (* K m)) M))))) (* n (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K m)) M)) (exp (neg l))))) (* 1/48 (* (pow K 3) (* n (* (exp (neg l)) (sin (- (* 1/2 (* K m)) M)))))))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (neg l))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (neg l)))
(* (cos (* 1/2 (* K (+ m n)))) (exp (neg l)))
(+ (* M (* (exp (neg l)) (sin (* 1/2 (* K (+ m n)))))) (* (cos (* 1/2 (* K (+ m n)))) (exp (neg l))))
(+ (* M (+ (* -1/2 (* M (* (cos (* 1/2 (* K (+ m n)))) (exp (neg l))))) (* (exp (neg l)) (sin (* 1/2 (* K (+ m n))))))) (* (cos (* 1/2 (* K (+ m n)))) (exp (neg l))))
(+ (* M (+ (* M (+ (* -1/2 (* (cos (* 1/2 (* K (+ m n)))) (exp (neg l)))) (* -1/6 (* M (* (exp (neg l)) (sin (* 1/2 (* K (+ m n))))))))) (* (exp (neg l)) (sin (* 1/2 (* K (+ m n))))))) (* (cos (* 1/2 (* K (+ m n)))) (exp (neg l))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (neg l)))
(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (neg l)))
(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (neg l)))
(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (neg l)))
(cos (- (* 1/2 (* K (+ m n))) M))
(+ (cos (- (* 1/2 (* K (+ m n))) M)) (* -1 (* l (cos (- (* 1/2 (* K (+ m n))) M)))))
(+ (cos (- (* 1/2 (* K (+ m n))) M)) (* l (+ (* -1 (cos (- (* 1/2 (* K (+ m n))) M))) (* 1/2 (* l (cos (- (* 1/2 (* K (+ m n))) M)))))))
(+ (cos (- (* 1/2 (* K (+ m n))) M)) (* l (+ (* -1 (cos (- (* 1/2 (* K (+ m n))) M))) (* l (+ (* -1/6 (* l (cos (- (* 1/2 (* K (+ m n))) M)))) (* 1/2 (cos (- (* 1/2 (* K (+ m n))) M))))))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (* -1 l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (* -1 l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (* -1 l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (* -1 l)))
(* -1 M)
(- (* 1/2 (* K (+ m n))) M)
(- (* 1/2 (* K (+ m n))) M)
(- (* 1/2 (* K (+ m n))) M)
(* 1/2 (* K (+ m n)))
(* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))
(* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))
(* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))
(* 1/2 (* K (+ m n)))
(* -1 (* K (+ (* -1/2 (+ m n)) (/ M K))))
(* -1 (* K (+ (* -1/2 (+ m n)) (/ M K))))
(* -1 (* K (+ (* -1/2 (+ m n)) (/ M K))))
(- (* 1/2 (* K n)) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(* 1/2 (* K m))
(* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m)))
(* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m)))
(* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m)))
(* 1/2 (* K m))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(- (* 1/2 (* K m)) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(* 1/2 (* K n))
(* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n)))
(* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n)))
(* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n)))
(* 1/2 (* K n))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K))))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K))))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K))))
(* 1/2 (* K (+ m n)))
(+ (* -1 M) (* 1/2 (* K (+ m n))))
(+ (* -1 M) (* 1/2 (* K (+ m n))))
(+ (* -1 M) (* 1/2 (* K (+ m n))))
(* -1 M)
(* M (- (* 1/2 (/ (* K (+ m n)) M)) 1))
(* M (- (* 1/2 (/ (* K (+ m n)) M)) 1))
(* M (- (* 1/2 (/ (* K (+ m n)) M)) 1))
(* -1 M)
(* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M)))))
(* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M)))))
(* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M)))))

Outputs
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)))
(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)
(- (fabs (- m n)) l)
(-.f64 (fabs.f64 (-.f64 m n)) l)
(- (+ (fabs (- m n)) (* -1/4 (pow n 2))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 n n) #s(literal 1/4 binary64) l))
(- (+ (fabs (- m n)) (* -1/4 (pow n 2))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 n n) #s(literal 1/4 binary64) l))
(- (+ (fabs (- m n)) (* -1/4 (pow n 2))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 n n) #s(literal 1/4 binary64) l))
(* -1/4 (pow n 2))
(.f64 #s(literal -1/4 binary64) (.f64 n n))
(* (pow n 2) (- (/ (fabs (- m n)) (pow n 2)) (+ 1/4 (/ l (pow n 2)))))
(.f64 (.f64 n n) (+.f64 (/.f64 (fabs.f64 (-.f64 m n)) (.f64 n n)) (-.f64 #s(literal -1/4 binary64) (/.f64 l (.f64 n n)))))
(* (pow n 2) (- (/ (fabs (- m n)) (pow n 2)) (+ 1/4 (/ l (pow n 2)))))
(.f64 (.f64 n n) (+.f64 (/.f64 (fabs.f64 (-.f64 m n)) (.f64 n n)) (-.f64 #s(literal -1/4 binary64) (/.f64 l (.f64 n n)))))
(* (pow n 2) (- (/ (fabs (- m n)) (pow n 2)) (+ 1/4 (/ l (pow n 2)))))
(.f64 (.f64 n n) (+.f64 (/.f64 (fabs.f64 (-.f64 m n)) (.f64 n n)) (-.f64 #s(literal -1/4 binary64) (/.f64 l (.f64 n n)))))
(* -1/4 (pow n 2))
(.f64 #s(literal -1/4 binary64) (.f64 n n))
(* (pow n 2) (- (/ (fabs (+ m (* -1 n))) (pow n 2)) (+ 1/4 (/ l (pow n 2)))))
(.f64 (.f64 n n) (+.f64 (/.f64 (fabs.f64 (-.f64 m n)) (.f64 n n)) (-.f64 #s(literal -1/4 binary64) (/.f64 l (.f64 n n)))))
(* (pow n 2) (- (/ (fabs (+ m (* -1 n))) (pow n 2)) (+ 1/4 (/ l (pow n 2)))))
(.f64 (.f64 n n) (+.f64 (/.f64 (fabs.f64 (-.f64 m n)) (.f64 n n)) (-.f64 #s(literal -1/4 binary64) (/.f64 l (.f64 n n)))))
(* (pow n 2) (- (/ (fabs (+ m (* -1 n))) (pow n 2)) (+ 1/4 (/ l (pow n 2)))))
(.f64 (.f64 n n) (+.f64 (/.f64 (fabs.f64 (-.f64 m n)) (.f64 n n)) (-.f64 #s(literal -1/4 binary64) (/.f64 l (.f64 n n)))))
(- (fabs (- m n)) (* 1/4 (pow n 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 n n) (fabs.f64 (-.f64 m n)))
(- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow n 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 n n) #s(literal 1/4 binary64) l))
(- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow n 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 n n) #s(literal 1/4 binary64) l))
(- (+ (fabs (- m n)) (* -1 l)) (* 1/4 (pow n 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 n n) #s(literal 1/4 binary64) l))
(* -1 l)
(neg.f64 l)
(* l (- (/ (fabs (- m n)) l) (+ 1 (* 1/4 (/ (pow n 2) l)))))
(.f64 l (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 n n) (fabs.f64 (-.f64 m n))) l) #s(literal -1 binary64)))
(* l (- (/ (fabs (- m n)) l) (+ 1 (* 1/4 (/ (pow n 2) l)))))
(.f64 l (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 n n) (fabs.f64 (-.f64 m n))) l) #s(literal -1 binary64)))
(* l (- (/ (fabs (- m n)) l) (+ 1 (* 1/4 (/ (pow n 2) l)))))
(.f64 l (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 n n) (fabs.f64 (-.f64 m n))) l) #s(literal -1 binary64)))
(* -1 l)
(neg.f64 l)
(* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (* 1/4 (pow n 2))) l)))))
(fma.f64 l (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 n n) (fabs.f64 (-.f64 m n))) l) (neg.f64 l))
(* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (* 1/4 (pow n 2))) l)))))
(fma.f64 l (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 n n) (fabs.f64 (-.f64 m n))) l) (neg.f64 l))
(* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (* 1/4 (pow n 2))) l)))))
(fma.f64 l (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 n n) (fabs.f64 (-.f64 m n))) l) (neg.f64 l))
(- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 n n) #s(literal 1/4 binary64) l))
(- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 n n) #s(literal 1/4 binary64) l))
(- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 n n) #s(literal 1/4 binary64) l))
(- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 n n) #s(literal 1/4 binary64) l))
(- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 n n) #s(literal 1/4 binary64) l))
(- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 n n) #s(literal 1/4 binary64) l))
(- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 n n) #s(literal 1/4 binary64) l))
(- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 n n) #s(literal 1/4 binary64) l))
(- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 n n) #s(literal 1/4 binary64) l))
(- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 n n) #s(literal 1/4 binary64) l))
(- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 n n) #s(literal 1/4 binary64) l))
(- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 n n) #s(literal 1/4 binary64) l))
(exp (- (fabs (- m n)) l))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))
(+ (exp (- (fabs (- m n)) l)) (* -1/4 (* (pow n 2) (exp (- (fabs (- m n)) l)))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 n n) #s(literal 1 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))
(+ (exp (- (fabs (- m n)) l)) (* (pow n 2) (+ (* -1/4 (exp (- (fabs (- m n)) l))) (* 1/32 (* (pow n 2) (exp (- (fabs (- m n)) l)))))))
(fma.f64 (.f64 n n) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (fma.f64 #s(literal 1/32 binary64) (*.f64 n n) #s(literal -1/4 binary64))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))
(+ (exp (- (fabs (- m n)) l)) (* (pow n 2) (+ (* -1/4 (exp (- (fabs (- m n)) l))) (* (pow n 2) (+ (* -1/384 (* (pow n 2) (exp (- (fabs (- m n)) l)))) (* 1/32 (exp (- (fabs (- m n)) l))))))))
(fma.f64 (.f64 n n) (fma.f64 (.f64 n n) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (fma.f64 #s(literal -1/384 binary64) (.f64 n n) #s(literal 1/32 binary64))) (*.f64 #s(literal -1/4 binary64) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))
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(fma.f64 (+.f64 (neg.f64 l) #s(literal 1 binary64)) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M)) (.f64 l (.f64 l (.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (fma.f64 #s(literal -1/6 binary64) l #s(literal 1/2 binary64))))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (neg l)))
(.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (* -1 l)))
(.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (* -1 l)))
(.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (* -1 l)))
(.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (* -1 l)))
(.f64 (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(* -1 M)
(neg.f64 M)
(- (* 1/2 (* K (+ m n))) M)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M)
(- (* 1/2 (* K (+ m n))) M)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M)
(- (* 1/2 (* K (+ m n))) M)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M)
(* 1/2 (* K (+ m n)))
(.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n)))
(* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))
(.f64 K (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) (/.f64 M K)))
(* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))
(.f64 K (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) (/.f64 M K)))
(* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))
(.f64 K (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 m n)) (/.f64 M K)))
(* 1/2 (* K (+ m n)))
(.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n)))
(* -1 (* K (+ (* -1/2 (+ m n)) (/ M K))))
(neg.f64 (*.f64 K (fma.f64 #s(literal -1/2 binary64) (+.f64 m n) (/.f64 M K))))
(* -1 (* K (+ (* -1/2 (+ m n)) (/ M K))))
(neg.f64 (*.f64 K (fma.f64 #s(literal -1/2 binary64) (+.f64 m n) (/.f64 M K))))
(* -1 (* K (+ (* -1/2 (+ m n)) (/ M K))))
(neg.f64 (*.f64 K (fma.f64 #s(literal -1/2 binary64) (+.f64 m n) (/.f64 M K))))
(- (* 1/2 (* K n)) M)
(fma.f64 #s(literal 1/2 binary64) (*.f64 n K) (neg.f64 M))
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M)
(* 1/2 (* K m))
(.f64 #s(literal 1/2 binary64) (.f64 m K))
(* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m)))
(.f64 m (fma.f64 #s(literal 1/2 binary64) K (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 n K) (neg.f64 M)) m)))
(* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m)))
(.f64 m (fma.f64 #s(literal 1/2 binary64) K (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 n K) (neg.f64 M)) m)))
(* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m)))
(.f64 m (fma.f64 #s(literal 1/2 binary64) K (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 n K) (neg.f64 M)) m)))
(* 1/2 (* K m))
(.f64 #s(literal 1/2 binary64) (.f64 m K))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(.f64 (neg.f64 m) (-.f64 (.f64 #s(literal -1/2 binary64) K) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 n K) (neg.f64 M)) m)))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(.f64 (neg.f64 m) (-.f64 (.f64 #s(literal -1/2 binary64) K) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 n K) (neg.f64 M)) m)))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(.f64 (neg.f64 m) (-.f64 (.f64 #s(literal -1/2 binary64) K) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 n K) (neg.f64 M)) m)))
(- (* 1/2 (* K m)) M)
(fma.f64 #s(literal 1/2 binary64) (*.f64 m K) (neg.f64 M))
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M)
(* 1/2 (* K n))
(.f64 #s(literal 1/2 binary64) (.f64 n K))
(* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n)))
(.f64 n (fma.f64 #s(literal 1/2 binary64) K (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 m K) (neg.f64 M)) n)))
(* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n)))
(.f64 n (fma.f64 #s(literal 1/2 binary64) K (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 m K) (neg.f64 M)) n)))
(* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n)))
(.f64 n (fma.f64 #s(literal 1/2 binary64) K (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 m K) (neg.f64 M)) n)))
(* 1/2 (* K n))
(.f64 #s(literal 1/2 binary64) (.f64 n K))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K))))
(.f64 (neg.f64 n) (-.f64 (.f64 #s(literal -1/2 binary64) K) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 m K) (neg.f64 M)) n)))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K))))
(.f64 (neg.f64 n) (-.f64 (.f64 #s(literal -1/2 binary64) K) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 m K) (neg.f64 M)) n)))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K))))
(.f64 (neg.f64 n) (-.f64 (.f64 #s(literal -1/2 binary64) K) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 m K) (neg.f64 M)) n)))
(* 1/2 (* K (+ m n)))
(.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n)))
(+ (* -1 M) (* 1/2 (* K (+ m n))))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M)
(+ (* -1 M) (* 1/2 (* K (+ m n))))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M)
(+ (* -1 M) (* 1/2 (* K (+ m n))))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M)
(* -1 M)
(neg.f64 M)
(* M (- (* 1/2 (/ (* K (+ m n)) M)) 1))
(.f64 M (fma.f64 (.f64 K (+.f64 m n)) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64)))
(* M (- (* 1/2 (/ (* K (+ m n)) M)) 1))
(.f64 M (fma.f64 (.f64 K (+.f64 m n)) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64)))
(* M (- (* 1/2 (/ (* K (+ m n)) M)) 1))
(.f64 M (fma.f64 (.f64 K (+.f64 m n)) (/.f64 #s(literal 1/2 binary64) M) #s(literal -1 binary64)))
(* -1 M)
(neg.f64 M)
(* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M)))))
(neg.f64 (fma.f64 M (/.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal -1/2 binary64)) M) M))
(* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M)))))
(neg.f64 (fma.f64 M (/.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal -1/2 binary64)) M) M))
(* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M)))))
(neg.f64 (fma.f64 M (/.f64 (.f64 (.f64 K (+.f64 m n)) #s(literal -1/2 binary64)) M) M))

simplify304.0ms (2.3%)

Memory

8.9MiB live, 289.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1937	31331
1	1938	31331
0	1938	31331

Stop Event

1×	saturated
1×	saturated

Counts

697 → 0

Calls

Call 1

Inputs
(+.f64 (.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 M)) (.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 M)))
(cos.f64 M)
(cos.f64 (neg.f64 M))
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 M) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 M)))
(+.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n)))))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)) l))
(+.f64 (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))
(+.f64 (-.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)) l) (fabs.f64 (-.f64 m n)))
(-.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)) (-.f64 l (fabs.f64 (-.f64 m n))))
(-.f64 #s(literal 0 binary64) (fma.f64 n (*.f64 n #s(literal 1/4 binary64)) (-.f64 l (fabs.f64 (-.f64 m n)))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n))))))
(-.f64 (-.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)) l) (neg.f64 (fabs.f64 (-.f64 m n))))
(-.f64 (/.f64 (.f64 (.f64 n (.f64 n n)) (.f64 (.f64 n (.f64 n n)) #s(literal -1/64 binary64))) (fma.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (-.f64 (fma.f64 (.f64 n n) #s(literal -1/4 binary64) l) (fabs.f64 (-.f64 m n))) (.f64 (.f64 (.f64 n n) (.f64 n n)) #s(literal 1/16 binary64)))) (/.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 l (fabs.f64 (-.f64 m n))) (-.f64 (fma.f64 (.f64 n n) #s(literal -1/4 binary64) l) (fabs.f64 (-.f64 m n))) (.f64 (.f64 (.f64 n n) (.f64 n n)) #s(literal 1/16 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 n n) (.f64 n n)) #s(literal 1/16 binary64)) (-.f64 (fma.f64 (.f64 n n) #s(literal -1/4 binary64) l) (fabs.f64 (-.f64 m n)))) (/.f64 (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (-.f64 l (fabs.f64 (-.f64 m n)))) (-.f64 (fma.f64 (*.f64 n n) #s(literal -1/4 binary64) l) (fabs.f64 (-.f64 m n)))))
(fma.f64 n (*.f64 n #s(literal -1/4 binary64)) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n)))))
(fma.f64 (*.f64 n #s(literal 1/4 binary64)) (neg.f64 n) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n)))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal -1 binary64) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n)))))
(fma.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 m n)) (-.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)) l))
(fma.f64 (*.f64 n n) #s(literal -1/4 binary64) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n)))))
(fma.f64 (neg.f64 n) (*.f64 n #s(literal 1/4 binary64)) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n)))))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 n n)) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n)))))
(fma.f64 #s(literal -1 binary64) (-.f64 l (fabs.f64 (-.f64 m n))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 n #s(literal -1/4 binary64)) n (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n)))))
(fma.f64 (fabs.f64 (.f64 (fma.f64 n n (.f64 m (+.f64 n m))) (-.f64 n m))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n m) (.f64 m m)))) (-.f64 (.f64 (*.f64 n n) #s(literal -1/4 binary64)) l))
(fma.f64 (fabs.f64 (.f64 (fma.f64 n n (.f64 m (+.f64 n m))) (-.f64 n m))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n n (.f64 m (+.f64 n m))))) (-.f64 (.f64 (*.f64 n n) #s(literal -1/4 binary64)) l))
(fma.f64 (fabs.f64 (.f64 (+.f64 n m) (-.f64 n m))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 n m))) (-.f64 (.f64 (*.f64 n n) #s(literal -1/4 binary64)) l))
(fma.f64 (neg.f64 (*.f64 n n)) #s(literal 1/4 binary64) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n)))))
(fma.f64 (*.f64 (neg.f64 n) n) #s(literal 1/4 binary64) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n)))))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 n n)) #s(literal 1/4 binary64) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n)))))
(fma.f64 (fabs.f64 (/.f64 (.f64 (+.f64 n m) (-.f64 n m)) (.f64 (+.f64 n m) (-.f64 n m)))) (fabs.f64 (-.f64 m n)) (-.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)) l))
(fma.f64 (fabs.f64 (/.f64 (.f64 (+.f64 n m) (-.f64 m n)) (.f64 (+.f64 n m) (-.f64 m n)))) (fabs.f64 (-.f64 m n)) (-.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)) l))
(fma.f64 (fabs.f64 (/.f64 (.f64 (+.f64 n m) (-.f64 m n)) (fma.f64 n (.f64 n n) (.f64 m (.f64 m m))))) (fabs.f64 (fma.f64 m (-.f64 m n) (.f64 n n))) (-.f64 (.f64 (*.f64 n n) #s(literal -1/4 binary64)) l))
(fma.f64 (fabs.f64 (/.f64 (.f64 (+.f64 n m) (-.f64 m n)) (fma.f64 n (.f64 n n) (.f64 m (.f64 m m))))) (fabs.f64 (fma.f64 n (-.f64 n m) (.f64 m m))) (-.f64 (.f64 (*.f64 n n) #s(literal -1/4 binary64)) l))
(fma.f64 (fabs.f64 (/.f64 (.f64 (+.f64 n m) (-.f64 m n)) (.f64 (+.f64 n m) (-.f64 n m)))) (fabs.f64 (-.f64 m n)) (-.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)) l))
(fma.f64 (fabs.f64 (/.f64 (.f64 (+.f64 n m) (-.f64 n m)) (fma.f64 n (.f64 n n) (.f64 m (.f64 m m))))) (fabs.f64 (fma.f64 m (-.f64 m n) (.f64 n n))) (-.f64 (.f64 (*.f64 n n) #s(literal -1/4 binary64)) l))
(fma.f64 (fabs.f64 (/.f64 (.f64 (+.f64 n m) (-.f64 n m)) (fma.f64 n (.f64 n n) (.f64 m (.f64 m m))))) (fabs.f64 (fma.f64 n (-.f64 n m) (.f64 m m))) (-.f64 (.f64 (*.f64 n n) #s(literal -1/4 binary64)) l))
(fma.f64 (fabs.f64 (/.f64 (.f64 (+.f64 n m) (-.f64 n m)) (.f64 (+.f64 n m) (-.f64 m n)))) (fabs.f64 (-.f64 m n)) (-.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)) l))
(neg.f64 (fma.f64 n (*.f64 n #s(literal 1/4 binary64)) (-.f64 l (fabs.f64 (-.f64 m n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (-.f64 (fma.f64 (.f64 n n) #s(literal -1/4 binary64) l) (fabs.f64 (-.f64 m n))) (.f64 (.f64 (.f64 n n) (.f64 n n)) #s(literal 1/16 binary64))) (-.f64 (.f64 (.f64 n (.f64 n n)) (.f64 (.f64 n (.f64 n n)) #s(literal -1/64 binary64))) (.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) (/.f64 (-.f64 (fma.f64 (.f64 n n) #s(literal -1/4 binary64) l) (fabs.f64 (-.f64 m n))) (-.f64 (.f64 (.f64 (.f64 n n) (.f64 n n)) #s(literal 1/16 binary64)) (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (-.f64 l (fabs.f64 (-.f64 m n)))))))
(/.f64 (-.f64 (.f64 (.f64 n (.f64 n n)) (.f64 (.f64 n (.f64 n n)) #s(literal -1/64 binary64))) (.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 l (fabs.f64 (-.f64 m n))) (-.f64 (fma.f64 (.f64 n n) #s(literal -1/4 binary64) l) (fabs.f64 (-.f64 m n))) (.f64 (.f64 (.f64 n n) (*.f64 n n)) #s(literal 1/16 binary64))))
(/.f64 (-.f64 (.f64 (.f64 n (.f64 n n)) (.f64 (.f64 n (.f64 n n)) #s(literal -1/64 binary64))) (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (fma.f64 (.f64 (.f64 n n) (.f64 n n)) #s(literal 1/16 binary64) (-.f64 (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (-.f64 l (fabs.f64 (-.f64 m n)))) (.f64 (.f64 (*.f64 n n) #s(literal -1/4 binary64)) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 n n) (.f64 n n)) #s(literal 1/16 binary64)) (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (-.f64 l (fabs.f64 (-.f64 m n))))) (-.f64 (fma.f64 (.f64 n n) #s(literal -1/4 binary64) l) (fabs.f64 (-.f64 m n))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 n n) (.f64 n n)) #s(literal 1/16 binary64)) (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (-.f64 l (fabs.f64 (-.f64 m n))))) (-.f64 (.f64 (*.f64 n n) #s(literal -1/4 binary64)) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n))))))
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(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (.f64 K (.f64 K K)) (.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64))) (fma.f64 M (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))))))) (cos.f64 (/.f64 (.f64 M (.f64 M M)) (fma.f64 M (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K)))))))) (.f64 (sin.f64 (/.f64 (.f64 (.f64 K (.f64 K K)) (.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64))) (fma.f64 M (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))))))) (sin.f64 (/.f64 (.f64 M (.f64 M M)) (fma.f64 M (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K)))))))))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K)))) (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M))) (cos.f64 (/.f64 (.f64 M M) (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M)))) (.f64 (sin.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K)))) (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M))) (sin.f64 (/.f64 (.f64 M M) (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M)))))
(cos.f64 (fma.f64 K (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) (neg.f64 M)))
(-.f64 (.f64 (cos.f64 M) (cos.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))))) (.f64 (sin.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 M))))
(-.f64 (.f64 (cos.f64 M) (cos.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))))) (.f64 (sin.f64 (neg.f64 M)) (sin.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))))))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)))) (.f64 (sin.f64 (.f64 (+.f64 n m) (*.f64 K #s(literal 1/2 binary64)))) (sin.f64 M)))
(fma.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)))) (cos.f64 M) (.f64 (sin.f64 (.f64 (+.f64 n m) (*.f64 K #s(literal 1/2 binary64)))) (sin.f64 M)))
(fma.f64 (sin.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 M) (.f64 (cos.f64 M) (cos.f64 (.f64 (+.f64 n m) (*.f64 K #s(literal 1/2 binary64))))))
(fma.f64 (sin.f64 M) (sin.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)))) (.f64 (cos.f64 M) (cos.f64 (.f64 (+.f64 n m) (*.f64 K #s(literal 1/2 binary64))))))
(fma.f64 (cos.f64 (/.f64 (.f64 (.f64 K (.f64 K K)) (.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64))) (fma.f64 M (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))))))) (cos.f64 (/.f64 (.f64 M (.f64 M M)) (fma.f64 M (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))))))) (.f64 (sin.f64 (/.f64 (.f64 (.f64 K (.f64 K K)) (.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64))) (fma.f64 M (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))))))) (sin.f64 (/.f64 (.f64 M (.f64 M M)) (fma.f64 M (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (*.f64 K K)))))))))
(fma.f64 (cos.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K)))) (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M))) (cos.f64 (/.f64 (.f64 M M) (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M))) (.f64 (sin.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K)))) (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M))) (sin.f64 (/.f64 (.f64 M M) (fma.f64 (+.f64 n m) (*.f64 K #s(literal 1/2 binary64)) M)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 M) (cos.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 M)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 M) (cos.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 M)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 M) (cos.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))))) (.f64 (sin.f64 (.f64 (+.f64 n m) (*.f64 K #s(literal 1/2 binary64)))) (sin.f64 M))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 M) (cos.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 M)) #s(literal 2 binary64))) (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K #s(literal 1/2 binary64)) M)))
(/.f64 (fma.f64 (+.f64 (cos.f64 (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M)) (cos.f64 (fma.f64 K (.f64 (+.f64 n m) #s(literal 1/2 binary64)) (neg.f64 M)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 n m) #s(literal 1/2 binary64)) (neg.f64 M))) (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K #s(literal 1/2 binary64)) M))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 n m) #s(literal 1/2 binary64)) (neg.f64 M))) (cos.f64 (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M)) (cos.f64 (fma.f64 K (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) (neg.f64 M)))))) #s(literal 4 binary64))
(+.f64 (.f64 m K) (.f64 n K))
(+.f64 (.f64 n K) (.f64 m K))
(fma.f64 n K (*.f64 m K))
(fma.f64 m K (*.f64 n K))
(fma.f64 K n (*.f64 m K))
(fma.f64 K m (*.f64 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 n (.f64 n n) (.f64 m (.f64 m m)))) (fma.f64 m (-.f64 m n) (*.f64 n n)))
(/.f64 (.f64 K (fma.f64 n (.f64 n n) (.f64 m (.f64 m m)))) (fma.f64 n (-.f64 n m) (*.f64 m m)))
(/.f64 (.f64 K (.f64 (+.f64 n m) (-.f64 n m))) (-.f64 n m))
(/.f64 (.f64 K (.f64 (+.f64 n m) (-.f64 m n))) (-.f64 m n))
(/.f64 (.f64 (fma.f64 n (.f64 n n) (.f64 m (.f64 m m))) K) (fma.f64 m (-.f64 m n) (*.f64 n n)))
(/.f64 (.f64 (fma.f64 n (.f64 n n) (.f64 m (.f64 m m))) K) (fma.f64 n (-.f64 n m) (*.f64 m m)))
(/.f64 (.f64 (.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m))
(/.f64 (.f64 (.f64 (+.f64 n m) (-.f64 m n)) K) (-.f64 m n))
(*.f64 (+.f64 n m) K)
(*.f64 K (+.f64 n m))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 M) (cos.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)))))) (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 M))))
(+.f64 (.f64 (.f64 (cos.f64 M) (cos.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))))) (exp.f64 (neg.f64 l))) (.f64 (.f64 (sin.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 M)) (exp.f64 (neg.f64 l))))
(fma.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 M) (cos.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))))) (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (.f64 (+.f64 n m) (*.f64 K #s(literal 1/2 binary64)))) (sin.f64 M))))
(fma.f64 (.f64 (cos.f64 M) (cos.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))))) (exp.f64 (neg.f64 l)) (.f64 (.f64 (sin.f64 (.f64 (+.f64 n m) (*.f64 K #s(literal 1/2 binary64)))) (sin.f64 M)) (exp.f64 (neg.f64 l))))
(/.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 l))
(/.f64 (.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 n m) #s(literal 1/2 binary64)) (neg.f64 M))) #s(literal 1 binary64)) (exp.f64 l))
(/.f64 (.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 K (.f64 (+.f64 n m) #s(literal 1/2 binary64)) (neg.f64 M)))) (exp.f64 l))
(.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 n m) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 K (.f64 (+.f64 n m) #s(literal 1/2 binary64)) (neg.f64 M))))
(+.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))) (neg.f64 M))
(+.f64 (neg.f64 M) (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))))
(-.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))) M)
(-.f64 (/.f64 (.f64 (.f64 K (.f64 K K)) (.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64))) (fma.f64 M (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K)))))) (/.f64 (.f64 M (.f64 M M)) (fma.f64 M (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K)))))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K)))) (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M)) (/.f64 (.f64 M M) (fma.f64 (+.f64 n m) (*.f64 K #s(literal 1/2 binary64)) M)))
(fma.f64 (+.f64 n m) (*.f64 K #s(literal 1/2 binary64)) (neg.f64 M))
(fma.f64 (+.f64 n m) (/.f64 K #s(literal 2 binary64)) (neg.f64 M))
(fma.f64 K (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) (neg.f64 M))
(fma.f64 #s(literal 1 binary64) (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))) (neg.f64 M))
(fma.f64 (*.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M))
(fma.f64 (*.f64 (+.f64 n m) (neg.f64 K)) #s(literal -1/2 binary64) (neg.f64 M))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 n m) K)) #s(literal -1 binary64)) (neg.f64 M))
(fma.f64 #s(literal -1 binary64) M (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) K (neg.f64 M))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 M (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))))) (fma.f64 (.f64 K (.f64 K K)) (.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 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))) (neg.f64 (*.f64 M M)))))
(/.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64)) (neg.f64 (.f64 M (.f64 M M)))) (fma.f64 M (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))))))
(/.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64)) (neg.f64 (.f64 M (.f64 M M)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))) (-.f64 (.f64 M M) (.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))) (neg.f64 M)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))) (neg.f64 (.f64 M M))) (fma.f64 (+.f64 n m) (*.f64 K #s(literal 1/2 binary64)) M))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))) (neg.f64 (.f64 M M))) (-.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))) (neg.f64 M)))
(/.f64 (neg.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64)) (neg.f64 (.f64 M (.f64 M M))))) (neg.f64 (fma.f64 M (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))) (neg.f64 (.f64 M M)))) (neg.f64 (fma.f64 (+.f64 n m) (*.f64 K #s(literal 1/2 binary64)) M)))
(pow.f64 (/.f64 (fma.f64 M (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64)) (neg.f64 (.f64 M (.f64 M M))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))) (neg.f64 (*.f64 M M)))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 K (.f64 K K)) (.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 #s(literal 1 binary64) (fma.f64 M (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (*.f64 K K)))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))) (neg.f64 (.f64 M M))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M)))

Outputs
(+.f64 (.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 M)) (.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 M)))
(cos.f64 M)
(cos.f64 (neg.f64 M))
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 M) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 M)))
(+.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n)))))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)) l))
(+.f64 (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n)))) (.f64 (.f64 n n) #s(literal -1/4 binary64)))
(+.f64 (-.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)) l) (fabs.f64 (-.f64 m n)))
(-.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)) (-.f64 l (fabs.f64 (-.f64 m n))))
(-.f64 #s(literal 0 binary64) (fma.f64 n (*.f64 n #s(literal 1/4 binary64)) (-.f64 l (fabs.f64 (-.f64 m n)))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n))))))
(-.f64 (-.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)) l) (neg.f64 (fabs.f64 (-.f64 m n))))
(-.f64 (/.f64 (.f64 (.f64 n (.f64 n n)) (.f64 (.f64 n (.f64 n n)) #s(literal -1/64 binary64))) (fma.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (-.f64 (fma.f64 (.f64 n n) #s(literal -1/4 binary64) l) (fabs.f64 (-.f64 m n))) (.f64 (.f64 (.f64 n n) (.f64 n n)) #s(literal 1/16 binary64)))) (/.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 l (fabs.f64 (-.f64 m n))) (-.f64 (fma.f64 (.f64 n n) #s(literal -1/4 binary64) l) (fabs.f64 (-.f64 m n))) (.f64 (.f64 (.f64 n n) (.f64 n n)) #s(literal 1/16 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 n n) (.f64 n n)) #s(literal 1/16 binary64)) (-.f64 (fma.f64 (.f64 n n) #s(literal -1/4 binary64) l) (fabs.f64 (-.f64 m n)))) (/.f64 (.f64 (-.f64 l (fabs.f64 (-.f64 m n))) (-.f64 l (fabs.f64 (-.f64 m n)))) (-.f64 (fma.f64 (*.f64 n n) #s(literal -1/4 binary64) l) (fabs.f64 (-.f64 m n)))))
(fma.f64 n (*.f64 n #s(literal -1/4 binary64)) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n)))))
(fma.f64 (*.f64 n #s(literal 1/4 binary64)) (neg.f64 n) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n)))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) #s(literal -1 binary64) (neg.f64 (-.f64 l (fabs.f64 (-.f64 m n)))))
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(/.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64)) (neg.f64 (.f64 M (.f64 M M)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))) (-.f64 (.f64 M M) (.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))) (neg.f64 M)))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))) (neg.f64 (.f64 M M))) (fma.f64 (+.f64 n m) (*.f64 K #s(literal 1/2 binary64)) M))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))) (neg.f64 (.f64 M M))) (-.f64 (.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64))) (neg.f64 M)))
(/.f64 (neg.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64)) (neg.f64 (.f64 M (.f64 M M))))) (neg.f64 (fma.f64 M (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))) (neg.f64 (.f64 M M)))) (neg.f64 (fma.f64 (+.f64 n m) (*.f64 K #s(literal 1/2 binary64)) M)))
(pow.f64 (/.f64 (fma.f64 M (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 (+.f64 n m) (.f64 (+.f64 n m) (+.f64 n m))) #s(literal 1/8 binary64)) (neg.f64 (.f64 M (.f64 M M))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))) (neg.f64 (*.f64 M M)))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 K (.f64 K K)) (.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 #s(literal 1 binary64) (fma.f64 M (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (*.f64 K K)))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (.f64 (+.f64 n m) (.f64 K K))) (neg.f64 (.f64 M M))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 n m) (.f64 K #s(literal 1/2 binary64)) M)))

eval148.0ms (1.1%)

Memory: 6.9MiB live, 344.2MiB allocated
Compiler: Compiled 31 339 to 810 computations (97.4% saved)

prune57.0ms (0.4%)

Memory

-23.7MiB live, 78.0MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	1 361	7	1 368
Fresh	2	0	2
Picked	5	0	5
Done	0	0	0
Total	1 368	7	1 375

Accuracy

98.9%

Counts

1 375 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.5%	(.f64 (fma.f64 K (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 K (cos.f64 M)) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 M)) (+.f64 m n))) (cos.f64 M)) (exp.f64 (neg.f64 l)))
▶	6.5%	(.f64 (+.f64 (neg.f64 l) #s(literal 1 binary64)) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)))
▶	15.1%	(.f64 (exp.f64 (neg.f64 l)) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (+.f64 n m) (+.f64 n m)) (.f64 K K)) #s(literal 1 binary64)))
	32.9%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (*.f64 n K))) (exp.f64 (neg.f64 l)))
▶	56.2%	(.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	87.5%	(exp.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 m n) (+.f64 m n)) (-.f64 (fabs.f64 (-.f64 m n)) l)))
▶	6.6%	(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M))

Compiler

Compiled 296 to 200 computations (32.4% saved)

simplify256.0ms (2%)

Memory

30.4MiB live, 335.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (+.f64 n m) (+.f64 n m)) (*.f64 K K)) #s(literal 1 binary64))
✓	cost-diff	0	(neg.f64 l)
✓	cost-diff	0	(exp.f64 (neg.f64 l))
✓	cost-diff	0	(.f64 (exp.f64 (neg.f64 l)) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (+.f64 n m) (+.f64 n m)) (.f64 K K)) #s(literal 1 binary64)))
✓	cost-diff	0	(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M))
✓	cost-diff	0	(neg.f64 l)
✓	cost-diff	0	(.f64 (+.f64 (neg.f64 l) #s(literal 1 binary64)) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)))
✓	cost-diff	128	(+.f64 (neg.f64 l) #s(literal 1 binary64))
✓	cost-diff	0	(neg.f64 (*.f64 M M))
✓	cost-diff	0	(exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))
✓	cost-diff	256	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	cost-diff	320	(.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	cost-diff	0	(*.f64 K (+.f64 m n))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n)))
✓	cost-diff	0	(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M)
✓	cost-diff	0	(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M))
✓	cost-diff	0	(+.f64 m n)
✓	cost-diff	0	(*.f64 (+.f64 m n) (+.f64 m n))
✓	cost-diff	0	(fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 m n) (+.f64 m n)) (-.f64 (fabs.f64 (-.f64 m n)) l))
✓	cost-diff	0	(exp.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 m n) (+.f64 m n)) (-.f64 (fabs.f64 (-.f64 m n)) l)))

Rules

6 286×	`lower-fma.f32`
6 282×	`lower-fma.f64`
3 518×	`lower-*.f32`
3 500×	`lower-*.f64`
2 202×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	288
0	65	286
1	154	284
2	434	280
3	1551	280
4	6437	280
0	8065	277

Stop Event

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

Calls

Call 1

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

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

localize265.0ms (2%)

Memory

-21.3MiB live, 423.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (+.f64 n m) (+.f64 n m)) (*.f64 K K)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 n m) (+.f64 n m))
✓	accuracy	88.5%	(.f64 (exp.f64 (neg.f64 l)) (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (+.f64 n m) (+.f64 n m)) (.f64 K K)) #s(literal 1 binary64)))
✓	accuracy	74.7%	(.f64 (.f64 (+.f64 n m) (+.f64 n m)) (*.f64 K K))
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M)
✓	accuracy	100.0%	(*.f64 K (+.f64 m n))
✓	accuracy	99.8%	(.f64 (+.f64 (neg.f64 l) #s(literal 1 binary64)) (cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)))
✓	accuracy	35.1%	(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M))
✓	accuracy	100.0%	(neg.f64 (*.f64 M M))
✓	accuracy	100.0%	(fabs.f64 (-.f64 m n))
✓	accuracy	100.0%	(exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))
✓	accuracy	100.0%	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n)))
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M)
✓	accuracy	100.0%	(*.f64 K (+.f64 m n))
✓	accuracy	35.1%	(cos.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 K (+.f64 m n))) M))
✓	accuracy	100.0%	(fabs.f64 (-.f64 m n))
✓	accuracy	100.0%	(exp.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 m n) (+.f64 m n)) (-.f64 (fabs.f64 (-.f64 m n)) l)))
✓	accuracy	100.0%	(fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 m n) (+.f64 m n)) (-.f64 (fabs.f64 (-.f64 m n)) l))
✓	accuracy	100.0%	(*.f64 (+.f64 m n) (+.f64 m n))

Samples

188.0ms	219×	1	valid
9.0ms	37×	0	valid

Compiler

Compiled 294 to 40 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-mult: 74.0ms (47.5% of total)

adjust: 32.0ms (20.6% of total)

ival-sub: 18.0ms (11.6% of total)

ival-cos: 10.0ms (6.4% of total)

ival-add: 10.0ms (6.4% of total)

ival-exp: 6.0ms (3.9% of total)

ival-neg: 2.0ms (1.3% of total)

ival-fabs: 2.0ms (1.3% of total)

exact: 1.0ms (0.6% of total)

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

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

series41.0ms (0.3%)

Memory

-8.9MiB live, 70.0MiB allocated

Counts

16 → 600

Calls

Call 1

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

Outputs
#<alt (pow n 2)>
#<alt (+ (* 2 (* m n)) (pow n 2))>
#<alt (+ (* m (+ m (* 2 n))) (pow n 2))>
#<alt (+ (* m (+ m (* 2 n))) (pow n 2))>
#<alt (pow m 2)>
#<alt (* (pow m 2) (+ 1 (* 2 (/ n m))))>
#<alt (* (pow m 2) (+ 1 (+ (* 2 (/ n m)) (/ (pow n 2) (pow m 2)))))>
#<alt (* (pow m 2) (+ 1 (+ (* 2 (/ n m)) (/ (pow n 2) (pow m 2)))))>
#<alt (pow m 2)>
#<alt (* (pow m 2) (+ 1 (* 2 (/ n m))))>
#<alt (* (pow m 2) (+ 1 (* -1 (/ (+ (* -2 n) (* -1 (/ (pow n 2) m))) m))))>
#<alt (* (pow m 2) (+ 1 (* -1 (/ (+ (* -2 n) (* -1 (/ (pow n 2) m))) m))))>
#<alt (pow m 2)>
#<alt (+ (* 2 (* m n)) (pow m 2))>
#<alt (+ (* n (+ n (* 2 m))) (pow m 2))>
#<alt (+ (* n (+ n (* 2 m))) (pow m 2))>
#<alt (pow n 2)>
#<alt (* (pow n 2) (+ 1 (* 2 (/ m n))))>
#<alt (* (pow n 2) (+ 1 (+ (* 2 (/ m n)) (/ (pow m 2) (pow n 2)))))>
#<alt (* (pow n 2) (+ 1 (+ (* 2 (/ m n)) (/ (pow m 2) (pow n 2)))))>
#<alt (pow n 2)>
#<alt (* (pow n 2) (+ 1 (* 2 (/ m n))))>
#<alt (* (pow n 2) (+ 1 (* -1 (/ (+ (* -2 m) (* -1 (/ (pow m 2) n))) n))))>
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#<alt (* (pow K 2) (+ (* -1/8 (* (exp (neg l)) (pow (+ m n) 2))) (/ (exp (neg l)) (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 (* (exp (neg l)) (pow (+ m n) 2))) (/ (exp (neg l)) (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 (* (exp (neg l)) (pow (+ m n) 2))) (/ (exp (neg l)) (pow K 2))))>
#<alt (pow m 2)>
#<alt (+ (* 2 (* m n)) (pow m 2))>
#<alt (+ (* n (+ n (* 2 m))) (pow m 2))>
#<alt (+ (* n (+ n (* 2 m))) (pow m 2))>
#<alt (pow n 2)>
#<alt (* (pow n 2) (+ 1 (* 2 (/ m n))))>
#<alt (* (pow n 2) (+ 1 (+ (* 2 (/ m n)) (/ (pow m 2) (pow n 2)))))>
#<alt (* (pow n 2) (+ 1 (+ (* 2 (/ m n)) (/ (pow m 2) (pow n 2)))))>
#<alt (pow n 2)>
#<alt (* (pow n 2) (+ 1 (* 2 (/ m n))))>
#<alt (* (pow n 2) (+ 1 (* -1 (/ (+ (* -2 m) (* -1 (/ (pow m 2) n))) n))))>
#<alt (* (pow n 2) (+ 1 (* -1 (/ (+ (* -2 m) (* -1 (/ (pow m 2) n))) n))))>
#<alt (pow n 2)>
#<alt (+ (* 2 (* m n)) (pow n 2))>
#<alt (+ (* m (+ m (* 2 n))) (pow n 2))>
#<alt (+ (* m (+ m (* 2 n))) (pow n 2))>
#<alt (pow m 2)>
#<alt (* (pow m 2) (+ 1 (* 2 (/ n m))))>
#<alt (* (pow m 2) (+ 1 (+ (* 2 (/ n m)) (/ (pow n 2) (pow m 2)))))>
#<alt (* (pow m 2) (+ 1 (+ (* 2 (/ n m)) (/ (pow n 2) (pow m 2)))))>
#<alt (pow m 2)>
#<alt (* (pow m 2) (+ 1 (* 2 (/ n m))))>
#<alt (* (pow m 2) (+ 1 (* -1 (/ (+ (* -2 n) (* -1 (/ (pow n 2) m))) m))))>
#<alt (* (pow m 2) (+ 1 (* -1 (/ (+ (* -2 n) (* -1 (/ (pow n 2) m))) m))))>
#<alt (+ 1 (* -1/8 (* (pow K 2) (pow m 2))))>
#<alt (+ 1 (+ (* -1/4 (* (pow K 2) (* m n))) (* -1/8 (* (pow K 2) (pow m 2)))))>
#<alt (+ 1 (+ (* -1/8 (* (pow K 2) (pow m 2))) (* n (+ (* -1/4 (* (pow K 2) m)) (* -1/8 (* (pow K 2) n))))))>
#<alt (+ 1 (+ (* -1/8 (* (pow K 2) (pow m 2))) (* n (+ (* -1/4 (* (pow K 2) m)) (* -1/8 (* (pow K 2) n))))))>
#<alt (* -1/8 (* (pow K 2) (pow n 2)))>
#<alt (* (pow n 2) (+ (* -1/4 (/ (* (pow K 2) m) n)) (* -1/8 (pow K 2))))>
#<alt (* (pow n 2) (+ (* -1/4 (/ (* (pow K 2) m) n)) (+ (* -1/8 (/ (* (pow K 2) (pow m 2)) (pow n 2))) (+ (* -1/8 (pow K 2)) (/ 1 (pow n 2))))))>
#<alt (* (pow n 2) (+ (* -1/4 (/ (* (pow K 2) m) n)) (+ (* -1/8 (/ (* (pow K 2) (pow m 2)) (pow n 2))) (+ (* -1/8 (pow K 2)) (/ 1 (pow n 2))))))>
#<alt (* -1/8 (* (pow K 2) (pow n 2)))>
#<alt (* (pow n 2) (+ (* -1/4 (/ (* (pow K 2) m) n)) (* -1/8 (pow K 2))))>
#<alt (* (pow n 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/8 (* (pow K 2) (pow m 2)))) n)) (* 1/4 (* (pow K 2) m))) n)) (* -1/8 (pow K 2))))>
#<alt (* (pow n 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/8 (* (pow K 2) (pow m 2)))) n)) (* 1/4 (* (pow K 2) m))) n)) (* -1/8 (pow K 2))))>
#<alt (+ 1 (* -1/8 (* (pow K 2) (pow n 2))))>
#<alt (+ 1 (+ (* -1/4 (* (pow K 2) (* m n))) (* -1/8 (* (pow K 2) (pow n 2)))))>
#<alt (+ 1 (+ (* -1/8 (* (pow K 2) (pow n 2))) (* m (+ (* -1/4 (* (pow K 2) n)) (* -1/8 (* (pow K 2) m))))))>
#<alt (+ 1 (+ (* -1/8 (* (pow K 2) (pow n 2))) (* m (+ (* -1/4 (* (pow K 2) n)) (* -1/8 (* (pow K 2) m))))))>
#<alt (* -1/8 (* (pow K 2) (pow m 2)))>
#<alt (* (pow m 2) (+ (* -1/4 (/ (* (pow K 2) n) m)) (* -1/8 (pow K 2))))>
#<alt (* (pow m 2) (+ (* -1/4 (/ (* (pow K 2) n) m)) (+ (* -1/8 (/ (* (pow K 2) (pow n 2)) (pow m 2))) (+ (* -1/8 (pow K 2)) (/ 1 (pow m 2))))))>
#<alt (* (pow m 2) (+ (* -1/4 (/ (* (pow K 2) n) m)) (+ (* -1/8 (/ (* (pow K 2) (pow n 2)) (pow m 2))) (+ (* -1/8 (pow K 2)) (/ 1 (pow m 2))))))>
#<alt (* -1/8 (* (pow K 2) (pow m 2)))>
#<alt (* (pow m 2) (+ (* -1/4 (/ (* (pow K 2) n) m)) (* -1/8 (pow K 2))))>
#<alt (* (pow m 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/8 (* (pow K 2) (pow n 2)))) m)) (* 1/4 (* (pow K 2) n))) m)) (* -1/8 (pow K 2))))>
#<alt (* (pow m 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/8 (* (pow K 2) (pow n 2)))) m)) (* 1/4 (* (pow K 2) n))) m)) (* -1/8 (pow K 2))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (* (pow K 2) (pow (+ m n) 2))))>
#<alt (+ 1 (* -1/8 (* (pow K 2) (pow (+ m n) 2))))>
#<alt (+ 1 (* -1/8 (* (pow K 2) (pow (+ m n) 2))))>
#<alt (* -1/8 (* (pow K 2) (pow (+ m n) 2)))>
#<alt (* (pow K 2) (+ (* -1/8 (pow (+ m n) 2)) (/ 1 (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 (pow (+ m n) 2)) (/ 1 (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 (pow (+ m n) 2)) (/ 1 (pow K 2))))>
#<alt (* -1/8 (* (pow K 2) (pow (+ m n) 2)))>
#<alt (* (pow K 2) (+ (* -1/8 (pow (+ m n) 2)) (/ 1 (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 (pow (+ m n) 2)) (/ 1 (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 (pow (+ m n) 2)) (/ 1 (pow K 2))))>

Calls

150 calls:

Time	Variable		Expression
15.0ms	n	@	(* (+ (neg l) 1) (cos (- (* 1/2 (* K (+ m n))) M)))
0.0ms	K	@	(* (+ (neg l) 1) (cos (- (* 1/2 (* K (+ m n))) M)))
0.0ms	m	@	(* (+ (neg l) 1) (cos (- (* 1/2 (* K (+ m n))) M)))
0.0ms	m	@	(exp (+ (* -1/4 (* (+ m n) (+ m n))) (- (fabs (- m n)) l)))
0.0ms	n	@	(exp (+ (* -1/4 (* (+ m n) (+ m n))) (- (fabs (- m n)) l)))

rewrite424.0ms (3.3%)

Memory

-0.8MiB live, 644.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 366×	`lower-*.f32`
4 350×	`lower-*.f64`
4 234×	`lower-/.f64`
4 234×	`lower-/.f32`
3 450×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	165
0	63	151
1	266	143
2	2187	143
0	8361	141

Stop Event

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

Counts

16 → 1 113

Calls

Call 1

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

Outputs
(+.f64 (.f64 m (+.f64 m n)) (.f64 n (+.f64 m n)))
(+.f64 (.f64 n (+.f64 m n)) (.f64 m (+.f64 m n)))
(exp.f64 (*.f64 (log.f64 (+.f64 m n)) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 m (+.f64 m n)) (.f64 m (+.f64 m n))) (-.f64 (.f64 m (+.f64 m n)) (.f64 n (+.f64 m n)))) (/.f64 (.f64 (.f64 n (+.f64 m n)) (.f64 n (+.f64 m n))) (-.f64 (.f64 m (+.f64 m n)) (.f64 n (+.f64 m n)))))
(-.f64 (/.f64 (.f64 (.f64 n (+.f64 m n)) (.f64 n (+.f64 m n))) (-.f64 (.f64 n (+.f64 m n)) (.f64 m (+.f64 m n)))) (/.f64 (.f64 (.f64 m (+.f64 m n)) (.f64 m (+.f64 m n))) (-.f64 (.f64 n (+.f64 m n)) (.f64 m (+.f64 m n)))))
(fma.f64 m (+.f64 m n) (*.f64 n (+.f64 m n)))
(fma.f64 n (+.f64 m n) (*.f64 m (+.f64 m n)))
(fma.f64 (+.f64 m n) m (*.f64 n (+.f64 m n)))
(fma.f64 (+.f64 m n) n (*.f64 m (+.f64 m n)))
(fma.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (fma.f64 n (+.f64 m n) (.f64 m m)) (-.f64 m n))) (/.f64 n (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 m n) (.f64 m m)))) (*.f64 m (+.f64 m n)))
(fma.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (fma.f64 n (+.f64 m n) (.f64 m m)) (-.f64 m n))) (/.f64 m (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 m n) (.f64 m m)))) (*.f64 n (+.f64 m n)))
(fma.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n))) (/.f64 n (/.f64 #s(literal 1 binary64) (+.f64 m n))) (*.f64 m (+.f64 m n)))
(fma.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n))) (/.f64 m (/.f64 #s(literal 1 binary64) (+.f64 m n))) (*.f64 n (+.f64 m n)))
(fma.f64 (/.f64 m (.f64 (+.f64 m n) (-.f64 m n))) (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 #s(literal 1 binary64) (+.f64 m n))) (*.f64 n (+.f64 m n)))
(fma.f64 (/.f64 n (.f64 (+.f64 m n) (-.f64 m n))) (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 #s(literal 1 binary64) (+.f64 m n))) (*.f64 m (+.f64 m n)))
(fma.f64 (/.f64 m (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n)))) (+.f64 m n) (*.f64 n (+.f64 m n)))
(fma.f64 (/.f64 n (.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 m (+.f64 m n)))
(fma.f64 (/.f64 n (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n)))) (+.f64 m n) (*.f64 m (+.f64 m n)))
(fma.f64 (/.f64 n (/.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 m (+.f64 m n)))
(fma.f64 (/.f64 n (/.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 (-.f64 m n) (.f64 n n))) (*.f64 m (+.f64 m n)))
(fma.f64 (/.f64 n (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 n m)))) (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (-.f64 n m)) (.f64 m (+.f64 m n)))
(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 n (-.f64 m n)) (.f64 m (+.f64 m n)))
(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 m (-.f64 m n)) (.f64 n (+.f64 m n)))
(fma.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 n (fma.f64 m m (.f64 n (-.f64 n m)))) (*.f64 m (+.f64 m n)))
(fma.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 n (fma.f64 m (-.f64 m n) (.f64 n n))) (*.f64 m (+.f64 m n)))
(fma.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 m (fma.f64 m m (.f64 n (-.f64 n m)))) (*.f64 n (+.f64 m n)))
(fma.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 m (fma.f64 m (-.f64 m n) (.f64 n n))) (*.f64 n (+.f64 m n)))
(fma.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 n m)))) (/.f64 n (-.f64 n m)) (.f64 m (+.f64 m n)))
(fma.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 n m)))) (/.f64 m (-.f64 n m)) (.f64 n (+.f64 m n)))
(fma.f64 (/.f64 m (.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 n (+.f64 m n)))
(fma.f64 (/.f64 m (/.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 n (+.f64 m n)))
(fma.f64 (/.f64 m (/.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 (-.f64 m n) (.f64 n n))) (*.f64 n (+.f64 m n)))
(fma.f64 (/.f64 m (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 n m)))) (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (-.f64 n m)) (.f64 n (+.f64 m n)))
(/.f64 (.f64 (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))) (fma.f64 m (.f64 m m) (.f64 n (.f64 n n)))) (.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (fma.f64 m m (.f64 n (-.f64 n m)))))
(/.f64 (.f64 (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))) (fma.f64 m (.f64 m m) (.f64 n (.f64 n n)))) (.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (fma.f64 m (-.f64 m n) (.f64 n n))))
(/.f64 (.f64 (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))) (fma.f64 m (.f64 m m) (.f64 n (.f64 n n)))) (.f64 (fma.f64 m (-.f64 m n) (.f64 n n)) (fma.f64 m m (.f64 n (-.f64 n m)))))
(/.f64 (.f64 (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))) (fma.f64 m (.f64 m m) (.f64 n (.f64 n n)))) (.f64 (fma.f64 m (-.f64 m n) (.f64 n n)) (fma.f64 m (-.f64 m n) (.f64 n n))))
(/.f64 (.f64 (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))) (.f64 (+.f64 m n) (-.f64 m n))) (.f64 (fma.f64 m m (*.f64 n (-.f64 n m))) (-.f64 m n)))
(/.f64 (.f64 (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))) (.f64 (+.f64 m n) (-.f64 m n))) (.f64 (fma.f64 m (-.f64 m n) (*.f64 n n)) (-.f64 m n)))
(/.f64 (.f64 (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))) (.f64 (+.f64 m n) (-.f64 n m))) (.f64 (fma.f64 m m (*.f64 n (-.f64 n m))) (-.f64 n m)))
(/.f64 (.f64 (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))) (.f64 (+.f64 m n) (-.f64 n m))) (.f64 (fma.f64 m (-.f64 m n) (*.f64 n n)) (-.f64 n m)))
(/.f64 (.f64 (.f64 (+.f64 m n) (-.f64 m n)) (fma.f64 m (.f64 m m) (.f64 n (.f64 n n)))) (.f64 (-.f64 m n) (fma.f64 m m (*.f64 n (-.f64 n m)))))
(/.f64 (.f64 (.f64 (+.f64 m n) (-.f64 m n)) (fma.f64 m (.f64 m m) (.f64 n (.f64 n n)))) (.f64 (-.f64 m n) (fma.f64 m (-.f64 m n) (*.f64 n n))))
(/.f64 (.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n))) (.f64 (-.f64 m n) (-.f64 m n)))
(/.f64 (.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 n m))) (.f64 (-.f64 m n) (-.f64 n m)))
(/.f64 (.f64 (.f64 (+.f64 m n) (-.f64 n m)) (fma.f64 m (.f64 m m) (.f64 n (.f64 n n)))) (.f64 (-.f64 n m) (fma.f64 m m (*.f64 n (-.f64 n m)))))
(/.f64 (.f64 (.f64 (+.f64 m n) (-.f64 n m)) (fma.f64 m (.f64 m m) (.f64 n (.f64 n n)))) (.f64 (-.f64 n m) (fma.f64 m (-.f64 m n) (*.f64 n n))))
(/.f64 (.f64 (.f64 (+.f64 m n) (-.f64 n m)) (.f64 (+.f64 m n) (-.f64 m n))) (.f64 (-.f64 n m) (-.f64 m n)))
(/.f64 (.f64 (.f64 (+.f64 m n) (-.f64 n m)) (.f64 (+.f64 m n) (-.f64 n m))) (.f64 (-.f64 m n) (-.f64 m n)))
(/.f64 (fma.f64 (.f64 m (.f64 m m)) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (.f64 n (.f64 n n)) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (fma.f64 (.f64 m (+.f64 m n)) (.f64 m (+.f64 m n)) (-.f64 (.f64 (.f64 n (+.f64 m n)) (.f64 n (+.f64 m n))) (.f64 (.f64 m (+.f64 m n)) (*.f64 n (+.f64 m n))))))
(/.f64 (fma.f64 (.f64 n (.f64 n n)) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (.f64 m (.f64 m m)) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (fma.f64 (.f64 n (+.f64 m n)) (.f64 n (+.f64 m n)) (-.f64 (.f64 (.f64 m (+.f64 m n)) (.f64 m (+.f64 m n))) (.f64 (.f64 n (+.f64 m n)) (*.f64 m (+.f64 m n))))))
(/.f64 (-.f64 (.f64 (.f64 m (+.f64 m n)) (.f64 m (+.f64 m n))) (.f64 (.f64 n (+.f64 m n)) (.f64 n (+.f64 m n)))) (-.f64 (.f64 m (+.f64 m n)) (.f64 n (+.f64 m n))))
(/.f64 (-.f64 (.f64 (.f64 n (+.f64 m n)) (.f64 n (+.f64 m n))) (.f64 (.f64 m (+.f64 m n)) (.f64 m (+.f64 m n)))) (-.f64 (.f64 n (+.f64 m n)) (.f64 m (+.f64 m n))))
(/.f64 (.f64 (+.f64 m n) (fma.f64 m (.f64 m m) (.f64 n (.f64 n n)))) (fma.f64 m m (*.f64 n (-.f64 n m))))
(/.f64 (.f64 (+.f64 m n) (fma.f64 m (.f64 m m) (.f64 n (.f64 n n)))) (fma.f64 m (-.f64 m n) (*.f64 n n)))
(/.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (-.f64 m n))) (-.f64 m n))
(/.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (-.f64 n m))) (-.f64 n m))
(/.f64 (.f64 (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))) (+.f64 m n)) (fma.f64 m m (*.f64 n (-.f64 n m))))
(/.f64 (.f64 (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))) (+.f64 m n)) (fma.f64 m (-.f64 m n) (*.f64 n n)))
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(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 m n) K)) (*.f64 (+.f64 m n) K) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (*.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 m n) (*.f64 (+.f64 m n) K))) K #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 m n)) (+.f64 m n)) K) K #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))) (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (*.f64 (+.f64 m n) K) #s(literal -1/8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))) (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (*.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64)) (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (+.f64 m n) K) (.f64 (*.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))) (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (*.f64 (+.f64 m n) K) #s(literal -1/8 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 m n) K) (.f64 (*.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64))))

simplify487.0ms (3.8%)

Memory

17.6MiB live, 571.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 522×	`lower-fma.f64`
11 522×	`lower-fma.f32`
6 984×	`lower-*.f64`
6 984×	`lower-*.f32`
3 654×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	785	9452
1	2484	8813
2	6928	8773
0	8140	8299

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

Calls

Call 1

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

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

simplify277.0ms (2.1%)

Memory

-7.3MiB live, 587.6MiB allocated

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2189	45961
1	2190	45961
0	2190	45961

Stop Event

1×	saturated
1×	saturated

Counts

1 113 → 0

Calls

Call 1

Inputs
(+.f64 (.f64 m (+.f64 m n)) (.f64 n (+.f64 m n)))
(+.f64 (.f64 n (+.f64 m n)) (.f64 m (+.f64 m n)))
(exp.f64 (*.f64 (log.f64 (+.f64 m n)) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 m (+.f64 m n)) (.f64 m (+.f64 m n))) (-.f64 (.f64 m (+.f64 m n)) (.f64 n (+.f64 m n)))) (/.f64 (.f64 (.f64 n (+.f64 m n)) (.f64 n (+.f64 m n))) (-.f64 (.f64 m (+.f64 m n)) (.f64 n (+.f64 m n)))))
(-.f64 (/.f64 (.f64 (.f64 n (+.f64 m n)) (.f64 n (+.f64 m n))) (-.f64 (.f64 n (+.f64 m n)) (.f64 m (+.f64 m n)))) (/.f64 (.f64 (.f64 m (+.f64 m n)) (.f64 m (+.f64 m n))) (-.f64 (.f64 n (+.f64 m n)) (.f64 m (+.f64 m n)))))
(fma.f64 m (+.f64 m n) (*.f64 n (+.f64 m n)))
(fma.f64 n (+.f64 m n) (*.f64 m (+.f64 m n)))
(fma.f64 (+.f64 m n) m (*.f64 n (+.f64 m n)))
(fma.f64 (+.f64 m n) n (*.f64 m (+.f64 m n)))
(fma.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (fma.f64 n (+.f64 m n) (.f64 m m)) (-.f64 m n))) (/.f64 n (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 m n) (.f64 m m)))) (*.f64 m (+.f64 m n)))
(fma.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (fma.f64 n (+.f64 m n) (.f64 m m)) (-.f64 m n))) (/.f64 m (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 m n) (.f64 m m)))) (*.f64 n (+.f64 m n)))
(fma.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n))) (/.f64 n (/.f64 #s(literal 1 binary64) (+.f64 m n))) (*.f64 m (+.f64 m n)))
(fma.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n))) (/.f64 m (/.f64 #s(literal 1 binary64) (+.f64 m n))) (*.f64 n (+.f64 m n)))
(fma.f64 (/.f64 m (.f64 (+.f64 m n) (-.f64 m n))) (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 #s(literal 1 binary64) (+.f64 m n))) (*.f64 n (+.f64 m n)))
(fma.f64 (/.f64 n (.f64 (+.f64 m n) (-.f64 m n))) (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 #s(literal 1 binary64) (+.f64 m n))) (*.f64 m (+.f64 m n)))
(fma.f64 (/.f64 m (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n)))) (+.f64 m n) (*.f64 n (+.f64 m n)))
(fma.f64 (/.f64 n (.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 m (+.f64 m n)))
(fma.f64 (/.f64 n (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n)))) (+.f64 m n) (*.f64 m (+.f64 m n)))
(fma.f64 (/.f64 n (/.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 m (+.f64 m n)))
(fma.f64 (/.f64 n (/.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 (-.f64 m n) (.f64 n n))) (*.f64 m (+.f64 m n)))
(fma.f64 (/.f64 n (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 n m)))) (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (-.f64 n m)) (.f64 m (+.f64 m n)))
(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 n (-.f64 m n)) (.f64 m (+.f64 m n)))
(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 m (-.f64 m n)) (.f64 n (+.f64 m n)))
(fma.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 n (fma.f64 m m (.f64 n (-.f64 n m)))) (*.f64 m (+.f64 m n)))
(fma.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 n (fma.f64 m (-.f64 m n) (.f64 n n))) (*.f64 m (+.f64 m n)))
(fma.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 m (fma.f64 m m (.f64 n (-.f64 n m)))) (*.f64 n (+.f64 m n)))
(fma.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 m (fma.f64 m (-.f64 m n) (.f64 n n))) (*.f64 n (+.f64 m n)))
(fma.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 n m)))) (/.f64 n (-.f64 n m)) (.f64 m (+.f64 m n)))
(fma.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 n m)))) (/.f64 m (-.f64 n m)) (.f64 n (+.f64 m n)))
(fma.f64 (/.f64 m (.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 n (+.f64 m n)))
(fma.f64 (/.f64 m (/.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 n (+.f64 m n)))
(fma.f64 (/.f64 m (/.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 (-.f64 m n) (.f64 n n))) (*.f64 n (+.f64 m n)))
(fma.f64 (/.f64 m (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 n m)))) (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (-.f64 n m)) (.f64 n (+.f64 m n)))
(/.f64 (.f64 (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))) (fma.f64 m (.f64 m m) (.f64 n (.f64 n n)))) (.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (fma.f64 m m (.f64 n (-.f64 n m)))))
(/.f64 (.f64 (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))) (fma.f64 m (.f64 m m) (.f64 n (.f64 n n)))) (.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (fma.f64 m (-.f64 m n) (.f64 n n))))
(/.f64 (.f64 (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))) (fma.f64 m (.f64 m m) (.f64 n (.f64 n n)))) (.f64 (fma.f64 m (-.f64 m n) (.f64 n n)) (fma.f64 m m (.f64 n (-.f64 n m)))))
(/.f64 (.f64 (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))) (fma.f64 m (.f64 m m) (.f64 n (.f64 n n)))) (.f64 (fma.f64 m (-.f64 m n) (.f64 n n)) (fma.f64 m (-.f64 m n) (.f64 n n))))
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(.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 n m)))) (/.f64 (+.f64 m n) (-.f64 n m)))
(.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (fabs.f64 (-.f64 m n))) (/.f64 (*.f64 (+.f64 m n) (-.f64 m n)) (fabs.f64 (-.f64 m n))))
(.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (neg.f64 (-.f64 m n))) (/.f64 (*.f64 (+.f64 m n) (-.f64 m n)) (neg.f64 (-.f64 m n))))
(.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 n m)) (-.f64 m n)) (/.f64 (*.f64 (+.f64 m n) (-.f64 n m)) (-.f64 m n)))
(.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 n m)) (fabs.f64 (-.f64 m n))) (/.f64 (*.f64 (+.f64 m n) (-.f64 n m)) (fabs.f64 (-.f64 m n))))
(.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 n m)) (neg.f64 (-.f64 m n))) (/.f64 (*.f64 (+.f64 m n) (-.f64 n m)) (neg.f64 (-.f64 m n))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64))))
(+.f64 (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64)) (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64))))) (/.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64))))))
(fma.f64 (+.f64 m n) (.f64 (.f64 (*.f64 (+.f64 m n) K) K) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (+.f64 m n) K) (.f64 (*.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (*.f64 K K) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 K K) (.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 m n)) (+.f64 m n)) #s(literal 1 binary64))
(fma.f64 (.f64 (+.f64 m n) (.f64 (*.f64 (+.f64 m n) K) K)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (.f64 (+.f64 m n) (.f64 (*.f64 (+.f64 m n) K) K)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (+.f64 m n)) (+.f64 m n)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (+.f64 m n)) (+.f64 m n)) (.f64 (.f64 K K) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) K)) (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (+.f64 m n)) (.f64 (*.f64 (+.f64 m n) K) K) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 m n) K)) (*.f64 (+.f64 m n) K) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (*.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 m n) (*.f64 (+.f64 m n) K))) K #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 m n)) (+.f64 m n)) K) K #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))) (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (*.f64 (+.f64 m n) K) #s(literal -1/8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))) (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (*.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64)) (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (+.f64 m n) K) (.f64 (*.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))) (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (*.f64 (+.f64 m n) K) #s(literal -1/8 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 m n) K) (.f64 (*.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64))))

Outputs
(+.f64 (.f64 m (+.f64 m n)) (.f64 n (+.f64 m n)))
(+.f64 (.f64 n (+.f64 m n)) (.f64 m (+.f64 m n)))
(exp.f64 (*.f64 (log.f64 (+.f64 m n)) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 m (+.f64 m n)) (.f64 m (+.f64 m n))) (-.f64 (.f64 m (+.f64 m n)) (.f64 n (+.f64 m n)))) (/.f64 (.f64 (.f64 n (+.f64 m n)) (.f64 n (+.f64 m n))) (-.f64 (.f64 m (+.f64 m n)) (.f64 n (+.f64 m n)))))
(-.f64 (/.f64 (.f64 (.f64 n (+.f64 m n)) (.f64 n (+.f64 m n))) (-.f64 (.f64 n (+.f64 m n)) (.f64 m (+.f64 m n)))) (/.f64 (.f64 (.f64 m (+.f64 m n)) (.f64 m (+.f64 m n))) (-.f64 (.f64 n (+.f64 m n)) (.f64 m (+.f64 m n)))))
(fma.f64 m (+.f64 m n) (*.f64 n (+.f64 m n)))
(fma.f64 n (+.f64 m n) (*.f64 m (+.f64 m n)))
(fma.f64 (+.f64 m n) m (*.f64 n (+.f64 m n)))
(fma.f64 (+.f64 m n) n (*.f64 m (+.f64 m n)))
(fma.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (fma.f64 n (+.f64 m n) (.f64 m m)) (-.f64 m n))) (/.f64 n (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 m n) (.f64 m m)))) (*.f64 m (+.f64 m n)))
(fma.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (fma.f64 n (+.f64 m n) (.f64 m m)) (-.f64 m n))) (/.f64 m (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 m n) (.f64 m m)))) (*.f64 n (+.f64 m n)))
(fma.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n))) (/.f64 n (/.f64 #s(literal 1 binary64) (+.f64 m n))) (*.f64 m (+.f64 m n)))
(fma.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n))) (/.f64 m (/.f64 #s(literal 1 binary64) (+.f64 m n))) (*.f64 n (+.f64 m n)))
(fma.f64 (/.f64 m (.f64 (+.f64 m n) (-.f64 m n))) (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 #s(literal 1 binary64) (+.f64 m n))) (*.f64 n (+.f64 m n)))
(fma.f64 (/.f64 n (.f64 (+.f64 m n) (-.f64 m n))) (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 #s(literal 1 binary64) (+.f64 m n))) (*.f64 m (+.f64 m n)))
(fma.f64 (/.f64 m (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n)))) (+.f64 m n) (*.f64 n (+.f64 m n)))
(fma.f64 (/.f64 n (.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 m (+.f64 m n)))
(fma.f64 (/.f64 n (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n)))) (+.f64 m n) (*.f64 m (+.f64 m n)))
(fma.f64 (/.f64 n (/.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 m (+.f64 m n)))
(fma.f64 (/.f64 n (/.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 (-.f64 m n) (.f64 n n))) (*.f64 m (+.f64 m n)))
(fma.f64 (/.f64 n (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 n m)))) (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (-.f64 n m)) (.f64 m (+.f64 m n)))
(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 n (-.f64 m n)) (.f64 m (+.f64 m n)))
(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 m (-.f64 m n)) (.f64 n (+.f64 m n)))
(fma.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 n (fma.f64 m m (.f64 n (-.f64 n m)))) (*.f64 m (+.f64 m n)))
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(.f64 (/.f64 (+.f64 m n) (/.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 (-.f64 m n) (*.f64 n n))))
(.f64 (/.f64 (+.f64 m n) (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 n m)))) (/.f64 (.f64 (+.f64 m n) (-.f64 m 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 (+.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 (+.f64 m n) (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)) (fma.f64 m (.f64 m m) (.f64 n (.f64 n n))))) (/.f64 (+.f64 m n) (fma.f64 m (-.f64 m n) (*.f64 n n))))
(.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 n m)))) (/.f64 (+.f64 m n) (-.f64 n m)))
(.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (fabs.f64 (-.f64 m n))) (/.f64 (*.f64 (+.f64 m n) (-.f64 m n)) (fabs.f64 (-.f64 m n))))
(.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (neg.f64 (-.f64 m n))) (/.f64 (*.f64 (+.f64 m n) (-.f64 m n)) (neg.f64 (-.f64 m n))))
(.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 n m)) (-.f64 m n)) (/.f64 (*.f64 (+.f64 m n) (-.f64 n m)) (-.f64 m n)))
(.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 n m)) (fabs.f64 (-.f64 m n))) (/.f64 (*.f64 (+.f64 m n) (-.f64 n m)) (fabs.f64 (-.f64 m n))))
(.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 n m)) (neg.f64 (-.f64 m n))) (/.f64 (*.f64 (+.f64 m n) (-.f64 n m)) (neg.f64 (-.f64 m n))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64))))
(+.f64 (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64)) (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64))))) (/.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64))))))
(fma.f64 (+.f64 m n) (.f64 (.f64 (*.f64 (+.f64 m n) K) K) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (+.f64 m n) K) (.f64 (*.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (+.f64 m n) (+.f64 m n)) (.f64 (*.f64 K K) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 K K) (.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 m n)) (+.f64 m n)) #s(literal 1 binary64))
(fma.f64 (.f64 (+.f64 m n) (.f64 (*.f64 (+.f64 m n) K) K)) #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (.f64 (+.f64 m n) (.f64 (*.f64 (+.f64 m n) K) K)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (+.f64 m n)) (+.f64 m n)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (+.f64 m n)) (+.f64 m n)) (.f64 (.f64 K K) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) K)) (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (+.f64 m n)) (.f64 (*.f64 (+.f64 m n) K) K) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 m n) K)) (*.f64 (+.f64 m n) K) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (*.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (+.f64 m n) (*.f64 (+.f64 m n) K))) K #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 m n)) (+.f64 m n)) K) K #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))) (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (*.f64 (+.f64 m n) K) #s(literal -1/8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))) (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (*.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64)) (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (+.f64 m n) K) (.f64 (*.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)))) (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (+.f64 m n) K) (.f64 (.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))) (.f64 (+.f64 m n) (.f64 (+.f64 m n) (+.f64 m n))))) (.f64 (.f64 K K) (.f64 (.f64 K K) (.f64 K K))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 m n) K) (.f64 (*.f64 (+.f64 m n) K) #s(literal -1/8 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K)) (.f64 (+.f64 m n) (.f64 (.f64 (+.f64 m n) K) K))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (+.f64 m n) K) (.f64 (*.f64 (+.f64 m n) K) #s(literal -1/8 binary64)) #s(literal -1 binary64))))

eval172.0ms (1.3%)

Memory: 47.1MiB live, 345.3MiB allocated
Compiler: Compiled 27 415 to 699 computations (97.5% saved)

prune321.0ms (2.5%)

Memory

-175.9MiB live, 144.1MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	1 568	16	1 584
Fresh	2	0	2
Picked	5	0	5
Done	0	0	0
Total	1 575	16	1 591

Accuracy

98.9%

Counts

1 591 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.2%	(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64))
	5.5%	(fma.f64 l (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (+.f64 n m) (+.f64 n m)) (.f64 K K)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)))
	7.5%	(fma.f64 l (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)))
	5.8%	(fma.f64 K (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) (sin.f64 M)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K (cos.f64 M))) (*.f64 (+.f64 n m) (+.f64 n m)))) (cos.f64 M))
	6.4%	(.f64 (+.f64 (neg.f64 l) #s(literal 1 binary64)) (cos.f64 (.f64 n (*.f64 #s(literal 1/2 binary64) K))))
	34.2%	(.f64 (exp.f64 (neg.f64 l)) (.f64 n (.f64 (.f64 #s(literal -1/8 binary64) (*.f64 K K)) n)))
	6.6%	(*.f64 (cos.f64 M) (-.f64 #s(literal 1 binary64) l))
	6.4%	(.f64 l (-.f64 (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))) l) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))))
	23.2%	(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
	57.3%	(.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 M M))))
	54.6%	(exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)))
	55.4%	(exp.f64 (.f64 m (.f64 m #s(literal -1/4 binary64))))
	35.0%	(exp.f64 (neg.f64 l))
	6.7%	(cos.f64 (.f64 n (.f64 #s(literal 1/2 binary64) K)))
	6.8%	(cos.f64 (.f64 m (.f64 #s(literal 1/2 binary64) K)))
	6.9%	(cos.f64 M)

Compiler

Compiled 1 037 to 348 computations (66.4% saved)

regimes80.0ms (0.6%)

Memory

12.2MiB live, 137.7MiB allocated

Counts

39 → 1

Calls

Call 1

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

Outputs
(*.f64 (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:

18.0ms	M
15.0ms	l
13.0ms	m
11.0ms	K
11.0ms	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)

regimes82.0ms (0.6%)

Memory

5.8MiB live, 80.5MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 M M))))

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

(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 M M))))

Calls

6 calls:

30.0ms	(.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))))))
12.0ms	K
10.0ms	n
9.0ms	m
9.0ms	l

Results

Accuracy	Segments	Branch
90.7%	3	`m`
87.5%	1	`K`
91.2%	3	`n`
97.0%	3	`M`
87.5%	1	`l`
87.5%	1	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))`

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes37.0ms (0.3%)

Memory

-22.9MiB live, 59.7MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))

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

Calls

6 calls:

8.0ms	n
7.0ms	K
5.0ms	l
5.0ms	m
5.0ms	M

Results

Accuracy	Segments	Branch
66.7%	4	`K`
64.8%	3	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))`
72.8%	3	`l`
87.8%	3	`m`
87.8%	3	`n`
83.0%	3	`M`

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes11.0ms (0.1%)

Memory

28.8MiB live, 28.8MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs
(exp.f64 (.f64 m (.f64 m #s(literal -1/4 binary64))))
(.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 M M))))
(exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)))

Calls

2 calls:

5.0ms	m
5.0ms	n

Results

Accuracy	Segments	Branch
85.6%	3	`n`
84.9%	3	`m`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes14.0ms (0.1%)

Memory

-6.8MiB live, 31.9MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs
(exp.f64 (.f64 m (.f64 m #s(literal -1/4 binary64))))
(exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)))

Calls

3 calls:

4.0ms	n
4.0ms	M
4.0ms	m

Results

Accuracy	Segments	Branch
62.2%	3	`M`
80.3%	2	`m`
80.3%	2	`n`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes13.0ms (0.1%)

Memory

-5.1MiB live, 33.3MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs
(exp.f64 (.f64 m (.f64 m #s(literal -1/4 binary64))))
(exp.f64 (neg.f64 l))
(exp.f64 (.f64 m (.f64 m #s(literal -1/4 binary64))))

Calls

3 calls:

5.0ms	n
4.0ms	m
4.0ms	l

Results

Accuracy	Segments	Branch
67.5%	2	`l`
69.6%	3	`m`
55.4%	1	`n`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes22.0ms (0.2%)

Memory

8.7MiB live, 54.4MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
(exp.f64 (neg.f64 l))

Calls

6 calls:

5.0ms	l
4.0ms	n
3.0ms	m
3.0ms	K
3.0ms	M

Results

Accuracy	Segments	Branch
35.0%	1	`n`
35.0%	1	`M`
35.0%	1	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))`
35.0%	1	`K`
35.0%	1	`l`
35.0%	1	`m`

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes15.0ms (0.1%)

Memory

-8.8MiB live, 30.3MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

(fma.f64 l (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)))

(cos.f64 M)

Calls

6 calls:

3.0ms	l
2.0ms	n
2.0ms	M
2.0ms	K
2.0ms	m

Results

Accuracy	Segments	Branch
7.5%	1	`n`
7.5%	1	`K`
7.5%	1	`M`
7.5%	1	`m`
7.5%	1	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))`
9.4%	2	`l`

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes7.0ms (0.1%)

Memory

-25.9MiB live, 13.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64))

(fma.f64 l (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 n m) (+.f64 n m)) (*.f64 K K)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)))

(fma.f64 l (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)))

Outputs

(fma.f64 l (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)))

Calls

3 calls:

3.0ms	K
2.0ms	m
2.0ms	l

Results

Accuracy	Segments	Branch
7.5%	1	`K`
7.5%	1	`m`
7.5%	1	`l`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes10.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64))

(fma.f64 l (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 n m) (+.f64 n m)) (*.f64 K K)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)))

Outputs

(fma.f64 l (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 n m) (+.f64 n m)) (*.f64 K K)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
5.5%	1	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))`
5.5%	1	`n`
5.5%	1	`M`
5.5%	1	`K`
5.5%	1	`m`
5.5%	1	`l`

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes9.0ms (0.1%)

Memory

-18.7MiB live, 20.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64))

Outputs
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64))

Calls

6 calls:

2.0ms	(.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	l
1.0ms	n
1.0ms	M
1.0ms	m

Results

Accuracy	Segments	Branch
5.2%	1	`n`
5.2%	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))))))`
5.2%	1	`M`
5.2%	1	`K`
5.2%	1	`m`
5.2%	1	`l`

Compiler

Compiled 64 to 46 computations (28.1% saved)

bsearch53.0ms (0.4%)

Memory

8.5MiB live, 87.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.636446350163835	480705.6541148206
23.0ms	-6499965.478658652	-919.4523277777625

Samples

34.0ms	263×	0	valid
3.0ms	9×	1	valid

Compiler

Compiled 632 to 454 computations (28.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sub: 6.0ms (21.1% of total)

ival-mult: 6.0ms (21.1% of total)

ival-div: 4.0ms (14.1% of total)

ival-cos: 4.0ms (14.1% of total)

ival-pow2: 3.0ms (10.5% of total)

ival-exp: 2.0ms (7% of total)

ival-add: 2.0ms (7% of total)

ival-fabs: 1.0ms (3.5% of total)

ival-neg: 1.0ms (3.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch45.0ms (0.4%)

Memory

-1.4MiB live, 75.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-1.970654912287789e-298	-6.579641468717331e-300
21.0ms	-0.0009411792432953397	-4.270665526289096e-6

Samples

26.0ms	206×	0	valid
5.0ms	18×	1	valid

Compiler

Compiled 485 to 379 computations (21.9% saved)

Precisions

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

ival-div: 6.0ms (25.2% of total)

ival-sub: 5.0ms (21% of total)

ival-mult: 3.0ms (12.6% of total)

ival-exp: 2.0ms (8.4% of total)

ival-cos: 2.0ms (8.4% of total)

ival-pow2: 2.0ms (8.4% of total)

ival-add: 1.0ms (4.2% of total)

adjust: 1.0ms (4.2% of total)

ival-fabs: 1.0ms (4.2% of total)

ival-neg: 1.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch82.0ms (0.6%)

Memory

-22.1MiB live, 74.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	29.51172324759278	240.1374655466992
45.0ms	3.330178388579719e-179	1.1299307564480083e-171

Samples

48.0ms	227×	0	valid
4.0ms	13×	1	valid

Compiler

Compiled 412 to 344 computations (16.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-sub: 28.0ms (63% of total)

ival-div: 3.0ms (6.8% of total)

ival-mult: 3.0ms (6.8% of total)

ival-exp: 2.0ms (4.5% of total)

ival-pow2: 2.0ms (4.5% of total)

ival-cos: 2.0ms (4.5% of total)

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

adjust: 1.0ms (2.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory

-0.5MiB live, 37.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.532395591757512e-17	1.7366099933048937e-16

Samples

10.0ms	85×	0	valid
3.0ms	11×	1	valid

Compiler

Compiled 181 to 149 computations (17.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 2.0ms (20.4% of total)

ival-add: 1.0ms (10.2% of total)

ival-div: 1.0ms (10.2% of total)

ival-exp: 1.0ms (10.2% of total)

ival-mult: 1.0ms (10.2% of total)

ival-cos: 1.0ms (10.2% of total)

ival-pow2: 1.0ms (10.2% of total)

adjust: 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)

bsearch21.0ms (0.2%)

Memory

3.0MiB live, 41.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.8455723020870975e-48	1.7943415499234263e-47
1.0ms	-0.0009411792432953397	-4.270665526289096e-6

Samples

10.0ms	85×	0	valid
5.0ms	11×	1	valid

Compiler

Compiled 310 to 263 computations (15.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 2.0ms (20.4% of total)

ival-add: 1.0ms (10.2% of total)

ival-div: 1.0ms (10.2% of total)

ival-mult: 1.0ms (10.2% of total)

ival-exp: 1.0ms (10.2% of total)

ival-cos: 1.0ms (10.2% of total)

ival-pow2: 1.0ms (10.2% of total)

adjust: 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)

bsearch16.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-2.985195671936232e+117	-7.508337620709555e+116

Samples

8.0ms	69×	0	valid
3.0ms	11×	1	valid

Compiler

Compiled 282 to 154 computations (45.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sub: 2.0ms (24% of total)

ival-add: 1.0ms (12% of total)

ival-div: 1.0ms (12% of total)

ival-mult: 1.0ms (12% of total)

ival-exp: 1.0ms (12% of total)

ival-pow2: 1.0ms (12% of total)

ival-cos: 1.0ms (12% of total)

adjust: 0.0ms (0% of total)

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

ival-neg: 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)

simplify22.0ms (0.2%)

Memory

-21.8MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Rules

128×	`unsub-neg_binary64`
70×	`neg-mul-1_binary64`
48×	`distribute-neg-out_binary64`
44×	`+-commutative_binary64`
40×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	274
1	117	274
2	145	272
3	175	272
4	201	272
5	219	272
6	229	272
7	281	272
8	347	272

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (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 M #s(literal -6200 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 M M)))) (if (<=.f64 M #s(literal 28 binary64)) (exp.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) (-.f64 (fabs.f64 (-.f64 m n)) l))) (.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 M M))))))
(if (<=.f64 m #s(literal -4242751136953197/4611686018427387904 binary64)) (exp.f64 (.f64 m (.f64 m #s(literal -1/4 binary64)))) (if (<=.f64 m #s(literal -5428851484554397/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
(if (<=.f64 n #s(literal 6387416864671073/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (exp.f64 (.f64 m (.f64 m #s(literal -1/4 binary64)))) (if (<=.f64 n #s(literal 54 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 M M)))) (exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
(if (<=.f64 n #s(literal 215500602038799/1267650600228229401496703205376 binary64)) (exp.f64 (.f64 m (.f64 m #s(literal -1/4 binary64)))) (exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64))))
(if (<=.f64 m #s(literal -4242751136953197/4611686018427387904 binary64)) (exp.f64 (.f64 m (.f64 m #s(literal -1/4 binary64)))) (if (<=.f64 m #s(literal 1799770609570069/102844034832575377634685573909834406561420991602098741459288064 binary64)) (exp.f64 (neg.f64 l)) (exp.f64 (.f64 m (.f64 m #s(literal -1/4 binary64))))))
(exp.f64 (neg.f64 l))
(if (<=.f64 l #s(literal -900000000000000031501480314784254116821399074169926212858148969533449894454444984218110844518550088696691068965486592 binary64)) (fma.f64 l (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64))) (cos.f64 M))
(fma.f64 l (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)))
(fma.f64 l (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (+.f64 n m) (+.f64 n m)) (.f64 K K)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64))

Outputs
(*.f64 (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 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 M #s(literal -6200 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 M M)))) (if (<=.f64 M #s(literal 28 binary64)) (exp.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) (-.f64 (fabs.f64 (-.f64 m n)) l))) (.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 M M))))))
(if (<=.f64 M #s(literal -6200 binary64)) (exp.f64 (.f64 M (neg.f64 M))) (if (<=.f64 M #s(literal 28 binary64)) (exp.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) (-.f64 (fabs.f64 (-.f64 m n)) l))) (exp.f64 (*.f64 M (neg.f64 M)))))
(if (<=.f64 m #s(literal -4242751136953197/4611686018427387904 binary64)) (exp.f64 (.f64 m (.f64 m #s(literal -1/4 binary64)))) (if (<=.f64 m #s(literal -5428851484554397/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
(if (<=.f64 m #s(literal -4242751136953197/4611686018427387904 binary64)) (exp.f64 (.f64 m (.f64 m #s(literal -1/4 binary64)))) (if (<=.f64 m #s(literal -5428851484554397/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))) (exp.f64 (.f64 #s(literal -1/4 binary64) (*.f64 n n)))))
(if (<=.f64 n #s(literal 6387416864671073/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (exp.f64 (.f64 m (.f64 m #s(literal -1/4 binary64)))) (if (<=.f64 n #s(literal 54 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 M M)))) (exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)))))
(if (<=.f64 n #s(literal 6387416864671073/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (exp.f64 (.f64 m (.f64 m #s(literal -1/4 binary64)))) (if (<=.f64 n #s(literal 54 binary64)) (exp.f64 (.f64 M (neg.f64 M))) (exp.f64 (.f64 #s(literal -1/4 binary64) (*.f64 n n)))))
(if (<=.f64 n #s(literal 215500602038799/1267650600228229401496703205376 binary64)) (exp.f64 (.f64 m (.f64 m #s(literal -1/4 binary64)))) (exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64))))
(if (<=.f64 n #s(literal 215500602038799/1267650600228229401496703205376 binary64)) (exp.f64 (.f64 m (.f64 m #s(literal -1/4 binary64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 n n))))
(if (<=.f64 m #s(literal -4242751136953197/4611686018427387904 binary64)) (exp.f64 (.f64 m (.f64 m #s(literal -1/4 binary64)))) (if (<=.f64 m #s(literal 1799770609570069/102844034832575377634685573909834406561420991602098741459288064 binary64)) (exp.f64 (neg.f64 l)) (exp.f64 (.f64 m (.f64 m #s(literal -1/4 binary64))))))
(exp.f64 (neg.f64 l))
(if (<=.f64 l #s(literal -900000000000000031501480314784254116821399074169926212858148969533449894454444984218110844518550088696691068965486592 binary64)) (fma.f64 l (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64))) (cos.f64 M))
(if (<=.f64 l #s(literal -900000000000000031501480314784254116821399074169926212858148969533449894454444984218110844518550088696691068965486592 binary64)) (fma.f64 l (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (*.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1 binary64))) (cos.f64 M))
(fma.f64 l (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)))
(fma.f64 l (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (*.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1 binary64)))
(fma.f64 l (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (+.f64 n m) (+.f64 n m)) (.f64 K K)) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64)))
(fma.f64 l (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 K K) (.f64 (+.f64 m n) (+.f64 m n))) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (*.f64 (+.f64 n m) (+.f64 n m)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (*.f64 (+.f64 m n) (+.f64 m n)) #s(literal 1 binary64))

soundness1.5s (11.6%)

Memory

19.7MiB live, 840.4MiB allocated

Rules

11 522×	`lower-fma.f64`
11 522×	`lower-fma.f32`
9 856×	`lower-fma.f64`
9 856×	`lower-fma.f32`
8 774×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	879	10416
1	2808	10008
2	6702	9928
0	8730	9335
0	274	2071
1	803	2042
2	2479	2009
3	7406	2009
0	8116	1940
0	1014	13078
1	3308	12718
0	8434	12159
0	785	9452
1	2484	8813
2	6928	8773
0	8140	8299

Stop Event

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

Compiler

Compiled 1 000 to 657 computations (34.3% saved)

preprocess146.0ms (1.1%)

Memory: 31.7MiB live, 108.4MiB allocated
Remove: (sort m n)
Compiler: Compiled 872 to 366 computations (58% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	82	274
1	117	274
2	145	272
3	175	272
4	201	272
5	219	272
6	229	272
7	281	272
8	347	272

Iter	Nodes	Cost
0	82	274
1	117	274
2	145	272
3	175	272
4	201	272
5	219	272
6	229	272
7	281	272
8	347	272

analyze0.0ms (0%)

sample2.1s (16.3%)

preprocess300.0ms (2.3%)

explain519.0ms (4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify288.0ms (2.2%)

localize157.0ms (1.2%)

series17.0ms (0.1%)

rewrite315.0ms (2.4%)

simplify381.0ms (2.9%)

simplify94.0ms (0.7%)

eval29.0ms (0.2%)

prune18.0ms (0.1%)

simplify309.0ms (2.4%)

localize346.0ms (2.7%)

series65.0ms (0.5%)

rewrite527.0ms (4.1%)

simplify449.0ms (3.5%)

simplify185.0ms (1.4%)

eval269.0ms (2.1%)

prune102.0ms (0.8%)

simplify334.0ms (2.6%)

localize271.0ms (2.1%)

series42.0ms (0.3%)

rewrite406.0ms (3.1%)

simplify456.0ms (3.5%)

simplify304.0ms (2.3%)

eval148.0ms (1.1%)

prune57.0ms (0.4%)

simplify256.0ms (2%)

localize265.0ms (2%)

series41.0ms (0.3%)

rewrite424.0ms (3.3%)

simplify487.0ms (3.8%)

simplify277.0ms (2.1%)

eval172.0ms (1.3%)

prune321.0ms (2.5%)

regimes80.0ms (0.6%)

regimes82.0ms (0.6%)

regimes37.0ms (0.3%)

regimes11.0ms (0.1%)

regimes14.0ms (0.1%)

regimes13.0ms (0.1%)

regimes22.0ms (0.2%)

regimes15.0ms (0.1%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch53.0ms (0.4%)

bsearch45.0ms (0.4%)

bsearch82.0ms (0.6%)

bsearch20.0ms (0.2%)

bsearch21.0ms (0.2%)

bsearch16.0ms (0.1%)

simplify22.0ms (0.2%)

soundness1.5s (11.6%)

preprocess146.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	82	274
1	117	274
2	145	272
3	175	272
4	201	272
5	219	272
6	229	272
7	281	272
8	347	272