Metrics for Maksimov and Kolovsky, Equation (32)

analyze1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 31 to 23 computations (25.8% saved)

sample1.8s (13.7%)

Memory

18.9MiB live, 2 900.2MiB allocated

Samples

1.2s	7 836×	0	valid
183.0ms	420×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-sub: 225.0ms (21.4% of total)

ival-div: 195.0ms (18.5% of total)

ival-mult: 145.0ms (13.8% of total)

ival-pow2: 107.0ms (10.2% of total)

ival-cos: 93.0ms (8.8% of total)

ival-add: 85.0ms (8.1% of total)

ival-exp: 84.0ms (8% of total)

ival-fabs: 53.0ms (5% of total)

ival-neg: 34.0ms (3.2% of total)

adjust: 18.0ms (1.7% of total)

ival-true: 6.0ms (0.6% of total)

exact: 5.0ms (0.5% of total)

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

Bogosity

preprocess376.0ms (2.9%)

Memory

16.7MiB live, 465.5MiB 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)

explain770.0ms (5.9%)

Memory

3.2MiB live, 662.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
182	38	(1.317716500354394e-126 2.5187847179777553e+42 2.463981190698153e+94 1.0445926210495598e+298 -6.534894100652932e-169)	-	`(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	154	1
`cos.f64`	`(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))`	oflow-rescue	66	0
↳	`(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))`	overflow	66
↳	`(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)`	overflow	66
↳	`(*.f64 K (+.f64 m n))`	overflow	66

Confusion

	Predicted +	Predicted -
+	71	0
-	149	36

Precision

0.32272727272727275

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	71	0	0
-	149	1	35

Precision?

0.3212669683257919

Recall?

1.0

Freqs

test

number	freq
0	36
1	220

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

257.0ms	440×	1	valid
10.0ms	72×	0	valid

Compiler

Compiled 368 to 88 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-cos: 57.0ms (28.5% of total)

adjust: 44.0ms (22% of total)

ival-sub: 42.0ms (21% of total)

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

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

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

ival-pow2: 9.0ms (4.5% of total)

ival-neg: 4.0ms (2% of total)

ival-fabs: 4.0ms (2% of total)

ival-exp: 3.0ms (1.5% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.5%	(.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

▶

72.5%

(*.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)

simplify387.0ms (3%)

Memory

-13.3MiB live, 479.8MiB 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)

localize112.0ms (0.9%)

Memory

28.0MiB live, 261.2MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

80.0ms	220×	1	valid
5.0ms	36×	0	valid

Compiler

Compiled 150 to 23 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-sub: 12.0ms (18.7% of total)

ival-mult: 11.0ms (17.1% of total)

adjust: 10.0ms (15.6% of total)

ival-cos: 10.0ms (15.6% of total)

ival-div: 6.0ms (9.3% of total)

ival-pow2: 5.0ms (7.8% of total)

ival-neg: 5.0ms (7.8% of total)

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

ival-exp: 2.0ms (3.1% of total)

ival-fabs: 2.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory

-31.4MiB live, 47.6MiB allocated

Counts

6 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	M	@	inf	(pow (- (/ (+ m n) 2) M) 2)
1.0ms	m	@	-inf	(/ (+ m n) 2)
1.0ms	K	@	0	(cos (- (/ (* K (+ m n)) 2) M))
1.0ms	M	@	-inf	(pow (- (/ (+ m n) 2) M) 2)
1.0ms	K	@	0	(/ (* K (+ m n)) 2)

rewrite421.0ms (3.2%)

Memory

9.2MiB live, 619.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	53
0	32	53
1	152	53
2	1217	53
0	8384	53

Stop Event

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

Counts

6 → 319

Calls

Call 1

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

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

simplify394.0ms (3%)

Memory

-7.1MiB live, 625.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 032×	`lower-fma.f64`
10 032×	`lower-fma.f32`
7 192×	`lower-*.f64`
7 192×	`lower-*.f32`
4 352×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	388	3016
1	1162	2963
2	3519	2940
0	8866	2818

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval83.0ms (0.6%)

Memory: -4.0MiB live, 157.1MiB allocated
Compiler: Compiled 31 788 to 2 350 computations (92.6% saved)

prune112.0ms (0.9%)

Memory

30.8MiB live, 187.0MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	536	11	547
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	537	11	548

Accuracy

99.1%

Counts

548 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.5%	(.f64 (fma.f64 K (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) (sin.f64 M)) (.f64 K (.f64 (.f64 (+.f64 n m) (+.f64 n m)) (.f64 (cos.f64 M) #s(literal -1/8 binary64))))) (cos.f64 M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	72.5%	(.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (cos.f64 M)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 M)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (cos.f64 M)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 M)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)))) (sin.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))))))
	42.4%	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 m n) (.f64 (*.f64 (+.f64 m n) (-.f64 m n)) K))) #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))))))
▶	55.4%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (fma.f64 (.f64 (+.f64 n m) (+.f64 n m)) (/.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 (+.f64 n m) (neg.f64 M))) M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	70.2%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (+.f64 n (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (+.f64 n m) (+.f64 n m)) M) m)) (neg.f64 M)) M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	46.4%	(.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))))))
	37.2%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64))))
▶	35.7%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (.f64 n (.f64 n #s(literal -1/4 binary64)))))
	39.5%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 M (neg.f64 M))))
▶	30.6%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
▶	96.8%	(*.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 866 to 492 computations (43.2% saved)

simplify360.0ms (2.7%)

Memory

14.2MiB live, 684.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(.f64 M (fma.f64 M (fma.f64 (.f64 (+.f64 n m) (+.f64 n m)) (/.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 (+.f64 n m) (neg.f64 M))) M))
✓	cost-diff	256	(-.f64 (neg.f64 (.f64 M (fma.f64 M (fma.f64 (.f64 (+.f64 n m) (+.f64 n m)) (/.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 (+.f64 n m) (neg.f64 M))) M))) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	cost-diff	640	(fma.f64 (.f64 (+.f64 n m) (+.f64 n m)) (/.f64 #s(literal 1/4 binary64) (.f64 M M)) (/.f64 (+.f64 n m) (neg.f64 M)))
✓	cost-diff	768	(fma.f64 M (fma.f64 (.f64 (+.f64 n m) (+.f64 n m)) (/.f64 #s(literal 1/4 binary64) (.f64 M M)) (/.f64 (+.f64 n m) (neg.f64 M))) M)
✓	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 (*.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 (.f64 n (.f64 n #s(literal -1/4 binary64)))))
✓	cost-diff	0	(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
✓	cost-diff	0	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
✓	cost-diff	0	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
✓	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

14 104×	`lower-fma.f32`
14 100×	`lower-fma.f64`
4 062×	`lower-*.f32`
4 040×	`lower-*.f64`
2 208×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	625
0	90	625
1	188	625
2	466	615
3	1444	581
4	6267	581
0	8025	562

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

localize335.0ms (2.5%)

Memory

-39.8MiB live, 490.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	93.0%	(fma.f64 M (fma.f64 (.f64 (+.f64 n m) (+.f64 n m)) (/.f64 #s(literal 1/4 binary64) (.f64 M M)) (/.f64 (+.f64 n m) (neg.f64 M))) M)
✓	accuracy	91.2%	(.f64 M (fma.f64 M (fma.f64 (.f64 (+.f64 n m) (+.f64 n m)) (/.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 (+.f64 n m) (neg.f64 M))) M))
✓	accuracy	73.0%	(fma.f64 (.f64 (+.f64 n m) (+.f64 n m)) (/.f64 #s(literal 1/4 binary64) (.f64 M M)) (/.f64 (+.f64 n m) (neg.f64 M)))
✓	accuracy	35.1%	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
✓	accuracy	100.0%	(-.f64 l (fabs.f64 (-.f64 m n)))
✓	accuracy	100.0%	(.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))))))
✓	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 (/.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 (.f64 n (.f64 n #s(literal -1/4 binary64)))))
✓	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 (/.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%	(-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)
✓	accuracy	100.0%	(-.f64 l (fabs.f64 (-.f64 m n)))
✓	accuracy	100.0%	(-.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))))
✓	accuracy	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))

Samples

198.0ms	220×	1	valid
39.0ms	36×	0	valid

Compiler

Compiled 640 to 52 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-sub: 41.0ms (26.6% of total)

ival-mult: 29.0ms (18.8% of total)

adjust: 22.0ms (14.3% of total)

ival-cos: 16.0ms (10.4% of total)

ival-div: 13.0ms (8.4% of total)

ival-add: 10.0ms (6.5% of total)

ival-exp: 9.0ms (5.8% of total)

ival-neg: 7.0ms (4.5% of total)

ival-pow2: 5.0ms (3.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series93.0ms (0.7%)

Memory

12.9MiB live, 168.8MiB allocated

Counts

18 → 780

Calls

Call 1

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

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

Calls

195 calls:

Time	Variable		Point	Expression
5.0ms	l	@	0	(* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (* M M)) (- l (fabs (- m n))))))
4.0ms	m	@	0	(+ (* M (+ (* (* (+ n m) (+ n m)) (/ 1/4 (* M M))) (/ (+ n m) (neg M)))) M)
3.0ms	m	@	inf	(* (cos M) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))
2.0ms	m	@	0	(/ (* K (+ m n)) 2)
2.0ms	M	@	inf	(- (neg (* M (+ (* M (+ (* (* (+ n m) (+ n m)) (/ 1/4 (* M M))) (/ (+ n m) (neg M)))) M))) (- l (fabs (- m n))))

rewrite642.0ms (4.9%)

Memory

-145.5MiB live, 504.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 252×	`lower-/.f32`
4 244×	`lower-/.f64`
3 430×	`lower-*.f32`
3 410×	`lower-*.f64`
2 986×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	263
0	86	255
1	337	254
2	2936	246
0	8354	243

Stop Event

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

Counts

18 → 526

Calls

Call 1

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

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

simplify543.0ms (4.1%)

Memory

15.6MiB live, 517.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 318×	`lower-fma.f64`
9 318×	`lower-fma.f32`
6 756×	`lower-+.f64`
6 756×	`lower-+.f32`
6 630×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1223	15538
1	3923	15073
0	8487	14490

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 776

Calls

Call 1

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

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

eval429.0ms (3.3%)

Memory: 0.9MiB live, 505.3MiB allocated
Compiler: Compiled 85 198 to 4 976 computations (94.2% saved)

prune324.0ms (2.5%)

Memory

2.3MiB live, 617.0MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	2 246	14	2 260
Fresh	5	1	6
Picked	5	0	5
Done	0	0	0
Total	2 256	15	2 271

Accuracy

99.1%

Counts

2 271 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.0%	(fma.f64 n (fma.f64 n (.f64 (cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal -1/4 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) K) (sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M)))) (cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M)))
	5.9%	(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 n K) (sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))) (cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M)))
	21.0%	(.f64 (fma.f64 K (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 K (cos.f64 M)) (.f64 (+.f64 n m) (+.f64 n m))) (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 n m) (sin.f64 (neg.f64 M))))) (cos.f64 M)) (exp.f64 (neg.f64 l)))
	30.0%	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 n K) (sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))) (cos.f64 (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) m) M))) (exp.f64 (neg.f64 l)))
	6.1%	(.f64 (+.f64 (neg.f64 l) #s(literal 1 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))))
	72.5%	(.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (cos.f64 M)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 M)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (cos.f64 M)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 M)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)))) (sin.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))))))
▶	56.7%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 M M)) M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	30.6%	(.f64 (cos.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) m)) (exp.f64 (neg.f64 l)))
	22.6%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
	54.7%	(.f64 (cos.f64 M) (exp.f64 (.f64 (*.f64 n n) #s(literal -1/4 binary64))))
	52.0%	(.f64 (cos.f64 M) (exp.f64 (neg.f64 (.f64 M M))))
▶	34.3%	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
▶	86.5%	(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l)))
	6.2%	(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
▶	6.3%	(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))

Compiler

Compiled 850 to 488 computations (42.6% saved)

simplify314.0ms (2.4%)

Memory

-49.4MiB live, 374.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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 (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 M M)) M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	cost-diff	256	(-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 M M)) M))) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	cost-diff	640	(fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M)) M)
✓	cost-diff	704	(.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 M M)) M))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) K)
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) K) m)
✓	cost-diff	0	(cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m))
✓	cost-diff	0	(.f64 (cos.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) m)) (exp.f64 (neg.f64 l)))
✓	cost-diff	0	(neg.f64 l)
✓	cost-diff	0	(exp.f64 (neg.f64 l))
✓	cost-diff	0	(cos.f64 M)
✓	cost-diff	0	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) K)
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) K) m)
✓	cost-diff	0	(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M)
✓	cost-diff	0	(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))
✓	cost-diff	0	(-.f64 n m)
✓	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)))

Rules

10 654×	`lower-fma.f32`
10 650×	`lower-fma.f64`
3 890×	`lower-*.f32`
3 868×	`lower-*.f64`
1 686×	`exp-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	331
0	80	331
1	165	331
2	406	308
3	1282	297
4	5630	297
0	8143	289

Stop Event

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

Calls

Call 1

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

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

localize280.0ms (2.1%)

Memory

24.1MiB live, 418.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	93.7%	(.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 M M)) M))
✓	accuracy	92.2%	(fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M)) M)
✓	accuracy	78.4%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
✓	accuracy	35.1%	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
✓	accuracy	100.0%	(neg.f64 l)
✓	accuracy	100.0%	(exp.f64 (neg.f64 l))
✓	accuracy	100.0%	(.f64 (cos.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) m)) (exp.f64 (neg.f64 l)))
✓	accuracy	53.4%	(cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m))
✓	accuracy	100.0%	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
✓	accuracy	100.0%	(neg.f64 l)
✓	accuracy	100.0%	(exp.f64 (neg.f64 l))
✓	accuracy	100.0%	(cos.f64 M)
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) K) m)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) K)
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M)
✓	accuracy	53.4%	(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))
✓	accuracy	100.0%	(exp.f64 (-.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 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l))
✓	accuracy	100.0%	(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))

Samples

153.0ms	220×	1	valid
66.0ms	36×	0	valid

Compiler

Compiled 342 to 47 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 148.0ms

ival-sub: 42.0ms (28.3% of total)

ival-mult: 29.0ms (19.6% of total)

ival-cos: 28.0ms (18.9% of total)

adjust: 22.0ms (14.8% of total)

ival-add: 8.0ms (5.4% of total)

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

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

ival-fabs: 4.0ms (2.7% of total)

ival-neg: 3.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series77.0ms (0.6%)

Memory

-32.1MiB live, 134.5MiB allocated

Counts

22 → 636

Calls

Call 1

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

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

Calls

159 calls:

Time	Variable		Point	Expression
14.0ms	m	@	0	(* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (* M (+ (* M (/ (* 1/4 (* n n)) (* M M))) M))) (- l (fabs (- m n))))))
5.0ms	M	@	0	(cos (- (* (* 1/2 K) m) M))
1.0ms	l	@	inf	(* (cos (* (* 1/2 K) m)) (exp (neg l)))
1.0ms	K	@	inf	(* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (* M (+ (* M (/ (* 1/4 (* n n)) (* M M))) M))) (- l (fabs (- m n))))))
1.0ms	K	@	0	(* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (* M (+ (* M (/ (* 1/4 (* n n)) (* M M))) M))) (- l (fabs (- m n))))))

rewrite497.0ms (3.8%)

Memory

12.6MiB live, 531.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 540×	`lower-*.f32`
5 518×	`lower-*.f64`
3 840×	`lower-fma.f32`
3 836×	`lower-fma.f64`
3 014×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	208
0	80	200
1	300	198
2	2416	184
0	8233	178

Stop Event

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

Counts

22 → 672

Calls

Call 1

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

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

simplify626.0ms (4.8%)

Memory

26.0MiB live, 496.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 978×	`lower-fma.f64`
9 978×	`lower-fma.f32`
6 648×	`lower-*.f64`
6 648×	`lower-*.f32`
4 216×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	832	9556
1	2601	9199
2	6938	9132
0	8241	8570

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 628

Calls

Call 1

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

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

eval288.0ms (2.2%)

Memory: -1.6MiB live, 258.9MiB allocated
Compiler: Compiled 50 822 to 4 085 computations (92% saved)

prune259.0ms (2%)

Memory

26.4MiB live, 266.0MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	1 370	15	1 385
Fresh	5	5	10
Picked	5	0	5
Done	0	0	0
Total	1 380	20	1 400

Accuracy

99.1%

Counts

1 400 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.9%	(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 n K) (sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))) (cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M)))
	15.8%	(.f64 (fma.f64 (.f64 m m) (fma.f64 (.f64 m m) (fma.f64 #s(literal -1/46080 binary64) (.f64 (.f64 m m) (pow.f64 K #s(literal 6 binary64))) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K)))) (.f64 #s(literal -1/8 binary64) (*.f64 K K))) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
	20.9%	(.f64 (fma.f64 (.f64 K K) (.f64 (.f64 m m) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
	30.0%	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 n K) (sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))) (cos.f64 (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) m) M))) (exp.f64 (neg.f64 l)))
	28.5%	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 M M) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
	6.0%	(.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) (*.f64 m K))))
	6.4%	(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 M))
▶	8.1%	(.f64 (cos.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) m)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
	22.6%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
	8.8%	(*.f64 (cos.f64 M) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
▶	74.1%	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M)) M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	52.0%	(.f64 (cos.f64 M) (exp.f64 (neg.f64 (.f64 M M))))
▶	48.6%	(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 n (.f64 n #s(literal 1/4 binary64)))))
	54.7%	(exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)))
▶	53.9%	(exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64)))
	33.1%	(exp.f64 (neg.f64 l))
	6.2%	(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
	6.2%	(cos.f64 (.f64 M (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M) #s(literal -1 binary64))))
	6.3%	(cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 m K)))
▶	6.6%	(cos.f64 M)

Compiler

Compiled 706 to 498 computations (29.5% saved)

simplify415.0ms (3.2%)

Memory

-19.2MiB live, 345.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) K)
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) K) m)
✓	cost-diff	0	(cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m))
✓	cost-diff	0	(.f64 (cos.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) m)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 n m)
✓	cost-diff	0	(fabs.f64 (-.f64 n m))
✓	cost-diff	0	(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 n (.f64 n #s(literal 1/4 binary64)))))
✓	cost-diff	128	(-.f64 (fabs.f64 (-.f64 n m)) (.f64 n (.f64 n #s(literal 1/4 binary64))))
✓	cost-diff	0	(*.f64 m m)
✓	cost-diff	0	(.f64 (.f64 m m) #s(literal -1/4 binary64))
✓	cost-diff	0	(exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64)))
✓	cost-diff	0	(cos.f64 M)
✓	cost-diff	0	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M)) M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	cost-diff	256	(-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 M M)) M))) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	cost-diff	640	(fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M)) M)
✓	cost-diff	704	(.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 M M)) M))

Rules

14 936×	`lower-fma.f32`
14 930×	`lower-fma.f64`
3 770×	`lower-*.f32`
3 746×	`lower-*.f64`
1 438×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	255
0	71	255
1	153	255
2	386	234
3	1136	223
4	4136	223
5	7275	223
0	8026	213

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

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

localize162.0ms (1.2%)

Memory

31.9MiB live, 339.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 #s(literal 1/2 binary64) K) m)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) K)
✓	accuracy	99.9%	(.f64 (cos.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) m)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	accuracy	53.4%	(cos.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m))
✓	accuracy	100.0%	(*.f64 n #s(literal 1/4 binary64))
✓	accuracy	100.0%	(fabs.f64 (-.f64 n m))
✓	accuracy	100.0%	(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 n (.f64 n #s(literal 1/4 binary64)))))
✓	accuracy	100.0%	(-.f64 (fabs.f64 (-.f64 n m)) (.f64 n (.f64 n #s(literal 1/4 binary64))))
✓	accuracy	100.0%	(*.f64 m m)
✓	accuracy	100.0%	(exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 m m) #s(literal -1/4 binary64))
✓	accuracy	100.0%	(cos.f64 M)
✓	accuracy	100.0%	(-.f64 l (fabs.f64 (-.f64 m n)))
✓	accuracy	93.7%	(.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 M M)) M))
✓	accuracy	92.2%	(fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M)) M)
✓	accuracy	78.4%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))

Samples

72.0ms	128×	1	valid
36.0ms	128×	0	valid

Compiler

Compiled 268 to 44 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 25.0ms (31.2% of total)

ival-cos: 17.0ms (21.2% of total)

adjust: 9.0ms (11.2% of total)

ival-sub: 8.0ms (10% of total)

ival-exp: 7.0ms (8.7% of total)

ival-add: 5.0ms (6.2% of total)

ival-fabs: 5.0ms (6.2% of total)

ival-div: 3.0ms (3.7% of total)

ival-neg: 2.0ms (2.5% of total)

exact: 1.0ms (1.2% of total)

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

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

series34.0ms (0.3%)

Memory

-20.4MiB live, 60.9MiB allocated

Counts

19 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
2.0ms	m	@	0	(- (neg (* M (+ (* M (/ (* 1/4 (* n n)) (* M M))) M))) (- l (fabs (- m n))))
1.0ms	M	@	0	(* (cos M) (exp (- (neg (* M (+ (* M (/ (* 1/4 (* n n)) (* M M))) M))) (- l (fabs (- m n))))))
1.0ms	K	@	inf	(* (cos (* (* 1/2 K) m)) (+ (* l (+ (* l 1/2) -1)) 1))
1.0ms	K	@	0	(* (cos (* (* 1/2 K) m)) (+ (* l (+ (* l 1/2) -1)) 1))
0.0ms	n	@	0	(* (cos M) (exp (- (neg (* M (+ (* M (/ (* 1/4 (* n n)) (* M M))) M))) (- l (fabs (- m n))))))

rewrite319.0ms (2.4%)

Memory

39.5MiB live, 619.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 632×	`lower-*.f32`
4 608×	`lower-*.f64`
4 462×	`lower-fma.f32`
4 456×	`lower-fma.f64`
3 368×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	164
0	71	164
1	258	164
2	1834	150
0	8248	142

Stop Event

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

Counts

19 → 503

Calls

Call 1

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

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

simplify434.0ms (3.3%)

Memory

-19.0MiB live, 749.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 906×	`lower-fma.f64`
12 906×	`lower-fma.f32`
6 970×	`lower-*.f64`
6 970×	`lower-*.f32`
3 976×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	379	5557
1	1163	5309
2	3834	5259
0	8073	4898

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 448

Calls

Call 1

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

Outputs
(* 1/4 (pow n 2))
(.f64 #s(literal 1/4 binary64) (.f64 n n))
(+ (* 1/4 (pow n 2)) (pow M 2))
(fma.f64 #s(literal 1/4 binary64) (.f64 n n) (.f64 M M))
(+ (* 1/4 (pow n 2)) (pow M 2))
(fma.f64 #s(literal 1/4 binary64) (.f64 n n) (.f64 M M))
(+ (* 1/4 (pow n 2)) (pow M 2))
(fma.f64 #s(literal 1/4 binary64) (.f64 n n) (.f64 M M))
(pow M 2)
(*.f64 M M)
(* (pow M 2) (+ 1 (* 1/4 (/ (pow n 2) (pow M 2)))))
(.f64 M (.f64 M (fma.f64 (.f64 n n) (/.f64 #s(literal 1/4 binary64) (.f64 M M)) #s(literal 1 binary64))))
(* (pow M 2) (+ 1 (* 1/4 (/ (pow n 2) (pow M 2)))))
(.f64 M (.f64 M (fma.f64 (.f64 n n) (/.f64 #s(literal 1/4 binary64) (.f64 M M)) #s(literal 1 binary64))))
(* (pow M 2) (+ 1 (* 1/4 (/ (pow n 2) (pow M 2)))))
(.f64 M (.f64 M (fma.f64 (.f64 n n) (/.f64 #s(literal 1/4 binary64) (.f64 M M)) #s(literal 1 binary64))))
(pow M 2)
(*.f64 M M)
(* (pow M 2) (+ 1 (* 1/4 (/ (pow n 2) (pow M 2)))))
(.f64 M (.f64 M (fma.f64 (.f64 n n) (/.f64 #s(literal 1/4 binary64) (.f64 M M)) #s(literal 1 binary64))))
(* (pow M 2) (+ 1 (* 1/4 (/ (pow n 2) (pow M 2)))))
(.f64 M (.f64 M (fma.f64 (.f64 n n) (/.f64 #s(literal 1/4 binary64) (.f64 M M)) #s(literal 1 binary64))))
(* (pow M 2) (+ 1 (* 1/4 (/ (pow n 2) (pow M 2)))))
(.f64 M (.f64 M (fma.f64 (.f64 n n) (/.f64 #s(literal 1/4 binary64) (.f64 M M)) #s(literal 1 binary64))))
(pow M 2)
(*.f64 M M)
(+ (* 1/4 (pow n 2)) (pow M 2))
(fma.f64 #s(literal 1/4 binary64) (.f64 n n) (.f64 M M))
(+ (* 1/4 (pow n 2)) (pow M 2))
(fma.f64 #s(literal 1/4 binary64) (.f64 n n) (.f64 M M))
(+ (* 1/4 (pow n 2)) (pow M 2))
(fma.f64 #s(literal 1/4 binary64) (.f64 n n) (.f64 M M))
(* 1/4 (pow n 2))
(.f64 #s(literal 1/4 binary64) (.f64 n n))
(* (pow n 2) (+ 1/4 (/ (pow M 2) (pow n 2))))
(.f64 n (.f64 n (fma.f64 M (/.f64 M (*.f64 n n)) #s(literal 1/4 binary64))))
(* (pow n 2) (+ 1/4 (/ (pow M 2) (pow n 2))))
(.f64 n (.f64 n (fma.f64 M (/.f64 M (*.f64 n n)) #s(literal 1/4 binary64))))
(* (pow n 2) (+ 1/4 (/ (pow M 2) (pow n 2))))
(.f64 n (.f64 n (fma.f64 M (/.f64 M (*.f64 n n)) #s(literal 1/4 binary64))))
(* 1/4 (pow n 2))
(.f64 #s(literal 1/4 binary64) (.f64 n n))
(* (pow n 2) (+ 1/4 (/ (pow M 2) (pow n 2))))
(.f64 n (.f64 n (fma.f64 M (/.f64 M (*.f64 n n)) #s(literal 1/4 binary64))))
(* (pow n 2) (+ 1/4 (/ (pow M 2) (pow n 2))))
(.f64 n (.f64 n (fma.f64 M (/.f64 M (*.f64 n n)) #s(literal 1/4 binary64))))
(* (pow n 2) (+ 1/4 (/ (pow M 2) (pow n 2))))
(.f64 n (.f64 n (fma.f64 M (/.f64 M (*.f64 n n)) #s(literal 1/4 binary64))))
(* 1/4 (/ (pow n 2) M))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) M)
(/ (+ (* 1/4 (pow n 2)) (pow M 2)) M)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 n n) (.f64 M M)) M)
(/ (+ (* 1/4 (pow n 2)) (pow M 2)) M)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 n n) (.f64 M M)) M)
(/ (+ (* 1/4 (pow n 2)) (pow M 2)) M)
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 n n) (.f64 M M)) M)
M
(* M (+ 1 (* 1/4 (/ (pow n 2) (pow M 2)))))
(.f64 M (fma.f64 (.f64 n n) (/.f64 #s(literal 1/4 binary64) (*.f64 M M)) #s(literal 1 binary64)))
(* M (+ 1 (* 1/4 (/ (pow n 2) (pow M 2)))))
(.f64 M (fma.f64 (.f64 n n) (/.f64 #s(literal 1/4 binary64) (*.f64 M M)) #s(literal 1 binary64)))
(* M (+ 1 (* 1/4 (/ (pow n 2) (pow M 2)))))
(.f64 M (fma.f64 (.f64 n n) (/.f64 #s(literal 1/4 binary64) (*.f64 M M)) #s(literal 1 binary64)))
M
(* -1 (* M (- (* -1/4 (/ (pow n 2) (pow M 2))) 1)))
(fma.f64 (/.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)) (*.f64 M M)) (neg.f64 M) M)
(* -1 (* M (- (* -1/4 (/ (pow n 2) (pow M 2))) 1)))
(fma.f64 (/.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)) (*.f64 M M)) (neg.f64 M) M)
(* -1 (* M (- (* -1/4 (/ (pow n 2) (pow M 2))) 1)))
(fma.f64 (/.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)) (*.f64 M M)) (neg.f64 M) M)
M
(+ M (* 1/4 (/ (pow n 2) M)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 n n) M) M)
(+ M (* 1/4 (/ (pow n 2) M)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 n n) M) M)
(+ M (* 1/4 (/ (pow n 2) M)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 n n) M) M)
(* 1/4 (/ (pow n 2) M))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) M)
(* (pow n 2) (+ (* 1/4 (/ 1 M)) (/ M (pow n 2))))
(.f64 (.f64 n n) (+.f64 (/.f64 #s(literal 1/4 binary64) M) (/.f64 M (*.f64 n n))))
(* (pow n 2) (+ (* 1/4 (/ 1 M)) (/ M (pow n 2))))
(.f64 (.f64 n n) (+.f64 (/.f64 #s(literal 1/4 binary64) M) (/.f64 M (*.f64 n n))))
(* (pow n 2) (+ (* 1/4 (/ 1 M)) (/ M (pow n 2))))
(.f64 (.f64 n n) (+.f64 (/.f64 #s(literal 1/4 binary64) M) (/.f64 M (*.f64 n n))))
(* 1/4 (/ (pow n 2) M))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) M)
(* (pow n 2) (+ (* 1/4 (/ 1 M)) (/ M (pow n 2))))
(.f64 (.f64 n n) (+.f64 (/.f64 #s(literal 1/4 binary64) M) (/.f64 M (*.f64 n n))))
(* (pow n 2) (+ (* 1/4 (/ 1 M)) (/ M (pow n 2))))
(.f64 (.f64 n n) (+.f64 (/.f64 #s(literal 1/4 binary64) M) (/.f64 M (*.f64 n n))))
(* (pow n 2) (+ (* 1/4 (/ 1 M)) (/ M (pow n 2))))
(.f64 (.f64 n n) (+.f64 (/.f64 #s(literal 1/4 binary64) M) (/.f64 M (*.f64 n n))))
(- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (*.f64 n n) l))
(- (+ (fabs (- m n)) (* -1 (pow M 2))) (+ l (* 1/4 (pow n 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M (fma.f64 #s(literal 1/4 binary64) (*.f64 n n) l)))
(- (+ (fabs (- m n)) (* -1 (pow M 2))) (+ l (* 1/4 (pow n 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M (fma.f64 #s(literal 1/4 binary64) (*.f64 n n) l)))
(- (+ (fabs (- m n)) (* -1 (pow M 2))) (+ l (* 1/4 (pow n 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M (fma.f64 #s(literal 1/4 binary64) (*.f64 n n) l)))
(* -1 (pow M 2))
(*.f64 M (neg.f64 M))
(* (pow M 2) (- (/ (fabs (- m n)) (pow M 2)) (+ 1 (+ (* 1/4 (/ (pow n 2) (pow M 2))) (/ l (pow M 2))))))
(.f64 M (.f64 M (+.f64 (/.f64 (fabs.f64 (-.f64 m n)) (.f64 M M)) (-.f64 (fma.f64 (.f64 n n) (/.f64 #s(literal -1/4 binary64) (.f64 M M)) #s(literal -1 binary64)) (/.f64 l (.f64 M M))))))
(* (pow M 2) (- (/ (fabs (- m n)) (pow M 2)) (+ 1 (+ (* 1/4 (/ (pow n 2) (pow M 2))) (/ l (pow M 2))))))
(.f64 M (.f64 M (+.f64 (/.f64 (fabs.f64 (-.f64 m n)) (.f64 M M)) (-.f64 (fma.f64 (.f64 n n) (/.f64 #s(literal -1/4 binary64) (.f64 M M)) #s(literal -1 binary64)) (/.f64 l (.f64 M M))))))
(* (pow M 2) (- (/ (fabs (- m n)) (pow M 2)) (+ 1 (+ (* 1/4 (/ (pow n 2) (pow M 2))) (/ l (pow M 2))))))
(.f64 M (.f64 M (+.f64 (/.f64 (fabs.f64 (-.f64 m n)) (.f64 M M)) (-.f64 (fma.f64 (.f64 n n) (/.f64 #s(literal -1/4 binary64) (.f64 M M)) #s(literal -1 binary64)) (/.f64 l (.f64 M M))))))
(* -1 (pow M 2))
(*.f64 M (neg.f64 M))
(* (pow M 2) (- (/ (fabs (- m n)) (pow M 2)) (+ 1 (+ (* 1/4 (/ (pow n 2) (pow M 2))) (/ l (pow M 2))))))
(.f64 M (.f64 M (+.f64 (/.f64 (fabs.f64 (-.f64 m n)) (.f64 M M)) (-.f64 (fma.f64 (.f64 n n) (/.f64 #s(literal -1/4 binary64) (.f64 M M)) #s(literal -1 binary64)) (/.f64 l (.f64 M M))))))
(* (pow M 2) (- (/ (fabs (- m n)) (pow M 2)) (+ 1 (+ (* 1/4 (/ (pow n 2) (pow M 2))) (/ l (pow M 2))))))
(.f64 M (.f64 M (+.f64 (/.f64 (fabs.f64 (-.f64 m n)) (.f64 M M)) (-.f64 (fma.f64 (.f64 n n) (/.f64 #s(literal -1/4 binary64) (.f64 M M)) #s(literal -1 binary64)) (/.f64 l (.f64 M M))))))
(* (pow M 2) (- (/ (fabs (- m n)) (pow M 2)) (+ 1 (+ (* 1/4 (/ (pow n 2) (pow M 2))) (/ l (pow M 2))))))
(.f64 M (.f64 M (+.f64 (/.f64 (fabs.f64 (-.f64 m n)) (.f64 M M)) (-.f64 (fma.f64 (.f64 n n) (/.f64 #s(literal -1/4 binary64) (.f64 M M)) #s(literal -1 binary64)) (/.f64 l (.f64 M M))))))
(- (fabs (- m n)) (+ l (pow M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l))
(- (+ (fabs (- m n)) (* -1/4 (pow n 2))) (+ l (pow M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M (fma.f64 #s(literal 1/4 binary64) (*.f64 n n) l)))
(- (+ (fabs (- m n)) (* -1/4 (pow n 2))) (+ l (pow M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M (fma.f64 #s(literal 1/4 binary64) (*.f64 n n) l)))
(- (+ (fabs (- m n)) (* -1/4 (pow n 2))) (+ l (pow M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M (fma.f64 #s(literal 1/4 binary64) (*.f64 n n) l)))
(* -1/4 (pow n 2))
(.f64 (.f64 n n) #s(literal -1/4 binary64))
(* (pow n 2) (- (/ (fabs (- m n)) (pow n 2)) (+ 1/4 (+ (/ l (pow n 2)) (/ (pow M 2) (pow n 2))))))
(.f64 n (.f64 n (+.f64 (/.f64 (fabs.f64 (-.f64 m n)) (.f64 n n)) (-.f64 #s(literal -1/4 binary64) (fma.f64 M (/.f64 M (.f64 n n)) (/.f64 l (*.f64 n n)))))))
(* (pow n 2) (- (/ (fabs (- m n)) (pow n 2)) (+ 1/4 (+ (/ l (pow n 2)) (/ (pow M 2) (pow n 2))))))
(.f64 n (.f64 n (+.f64 (/.f64 (fabs.f64 (-.f64 m n)) (.f64 n n)) (-.f64 #s(literal -1/4 binary64) (fma.f64 M (/.f64 M (.f64 n n)) (/.f64 l (*.f64 n n)))))))
(* (pow n 2) (- (/ (fabs (- m n)) (pow n 2)) (+ 1/4 (+ (/ l (pow n 2)) (/ (pow M 2) (pow n 2))))))
(.f64 n (.f64 n (+.f64 (/.f64 (fabs.f64 (-.f64 m n)) (.f64 n n)) (-.f64 #s(literal -1/4 binary64) (fma.f64 M (/.f64 M (.f64 n n)) (/.f64 l (*.f64 n n)))))))
(* -1/4 (pow n 2))
(.f64 (.f64 n n) #s(literal -1/4 binary64))
(* (pow n 2) (- (/ (fabs (+ m (* -1 n))) (pow n 2)) (+ 1/4 (+ (/ l (pow n 2)) (/ (pow M 2) (pow n 2))))))
(.f64 n (.f64 n (+.f64 (/.f64 (fabs.f64 (-.f64 m n)) (.f64 n n)) (-.f64 #s(literal -1/4 binary64) (fma.f64 M (/.f64 M (.f64 n n)) (/.f64 l (*.f64 n n)))))))
(* (pow n 2) (- (/ (fabs (+ m (* -1 n))) (pow n 2)) (+ 1/4 (+ (/ l (pow n 2)) (/ (pow M 2) (pow n 2))))))
(.f64 n (.f64 n (+.f64 (/.f64 (fabs.f64 (-.f64 m n)) (.f64 n n)) (-.f64 #s(literal -1/4 binary64) (fma.f64 M (/.f64 M (.f64 n n)) (/.f64 l (*.f64 n n)))))))
(* (pow n 2) (- (/ (fabs (+ m (* -1 n))) (pow n 2)) (+ 1/4 (+ (/ l (pow n 2)) (/ (pow M 2) (pow n 2))))))
(.f64 n (.f64 n (+.f64 (/.f64 (fabs.f64 (-.f64 m n)) (.f64 n n)) (-.f64 #s(literal -1/4 binary64) (fma.f64 M (/.f64 M (.f64 n n)) (/.f64 l (*.f64 n n)))))))
(- (fabs (- m n)) (* M (+ M (* 1/4 (/ (pow n 2) M)))))
(fma.f64 M (fma.f64 (/.f64 (*.f64 n n) M) #s(literal -1/4 binary64) (neg.f64 M)) (fabs.f64 (-.f64 m n)))
(- (+ (fabs (- m n)) (* -1 l)) (* M (+ M (* 1/4 (/ (pow n 2) M)))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 n n) M) M) l))
(- (+ (fabs (- m n)) (* -1 l)) (* M (+ M (* 1/4 (/ (pow n 2) M)))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 n n) M) M) l))
(- (+ (fabs (- m n)) (* -1 l)) (* M (+ M (* 1/4 (/ (pow n 2) M)))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 n n) M) M) l))
(* -1 l)
(neg.f64 l)
(* l (- (/ (fabs (- m n)) l) (+ 1 (/ (* M (+ M (* 1/4 (/ (pow n 2) M)))) l))))
(.f64 l (+.f64 (/.f64 (fma.f64 M (fma.f64 (/.f64 (.f64 n n) M) #s(literal -1/4 binary64) (neg.f64 M)) (fabs.f64 (-.f64 m n))) l) #s(literal -1 binary64)))
(* l (- (/ (fabs (- m n)) l) (+ 1 (/ (* M (+ M (* 1/4 (/ (pow n 2) M)))) l))))
(.f64 l (+.f64 (/.f64 (fma.f64 M (fma.f64 (/.f64 (.f64 n n) M) #s(literal -1/4 binary64) (neg.f64 M)) (fabs.f64 (-.f64 m n))) l) #s(literal -1 binary64)))
(* l (- (/ (fabs (- m n)) l) (+ 1 (/ (* M (+ M (* 1/4 (/ (pow n 2) M)))) l))))
(.f64 l (+.f64 (/.f64 (fma.f64 M (fma.f64 (/.f64 (.f64 n n) M) #s(literal -1/4 binary64) (neg.f64 M)) (fabs.f64 (-.f64 m n))) l) #s(literal -1 binary64)))
(* -1 l)
(neg.f64 l)
(* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (* M (+ M (* 1/4 (/ (pow n 2) M))))) l)))))
(fma.f64 l (/.f64 (fma.f64 M (fma.f64 (/.f64 (*.f64 n n) M) #s(literal -1/4 binary64) (neg.f64 M)) (fabs.f64 (-.f64 m n))) l) (neg.f64 l))
(* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (* M (+ M (* 1/4 (/ (pow n 2) M))))) l)))))
(fma.f64 l (/.f64 (fma.f64 M (fma.f64 (/.f64 (*.f64 n n) M) #s(literal -1/4 binary64) (neg.f64 M)) (fabs.f64 (-.f64 m n))) l) (neg.f64 l))
(* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (* M (+ M (* 1/4 (/ (pow n 2) M))))) l)))))
(fma.f64 l (/.f64 (fma.f64 M (fma.f64 (/.f64 (*.f64 n n) M) #s(literal -1/4 binary64) (neg.f64 M)) (fabs.f64 (-.f64 m n))) l) (neg.f64 l))
(- (fabs (- m n)) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 n n) M) M) l))
(- (fabs (- m n)) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 n n) M) M) l))
(- (fabs (- m n)) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 n n) M) M) l))
(- (fabs (- m n)) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 n n) M) M) l))
(- (fabs (- m n)) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 n n) M) M) l))
(- (fabs (- m n)) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 n n) M) M) l))
(- (fabs (- m n)) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 n n) M) M) l))
(- (fabs (- m n)) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 n n) M) M) l))
(- (fabs (neg (+ n (* -1 m)))) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 n n) M) M) l))
(- (fabs (neg (+ n (* -1 m)))) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 n n) M) M) l))
(- (fabs (neg (+ n (* -1 m)))) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 n n) M) M) l))
(- (fabs (neg (+ n (* -1 m)))) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 n n) M) M) l))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (*.f64 n n) l)))
(+ (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2))))) (* (pow M 2) (+ (* -1 (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))) (* -1/2 (exp (- (fabs (- m n)) (+ l (* 1/4 (pow n 2)))))))))
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(* (cos M) (exp (- (fabs (- m n)) (+ l (+ (* 1/4 (pow n 2)) (pow M 2))))))
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(* (cos M) (exp (- (fabs (- m n)) (+ l (+ (* 1/4 (pow n 2)) (pow M 2))))))
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(* (cos M) (exp (- (fabs (- m n)) (+ l (+ (* 1/4 (pow n 2)) (pow M 2))))))
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(* (cos M) (exp (- (fabs (- m n)) (+ l (+ (* 1/4 (pow n 2)) (pow M 2))))))
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(* (cos M) (exp (- (fabs (- m n)) (+ l (* M (- (* 1/4 (/ (pow n 2) M)) (* -1 M)))))))
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(* (cos M) (exp (- (fabs (- m n)) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))))
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(* (cos M) (exp (- (fabs (+ m (* -1 n))) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))))
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(* (cos M) (exp (- (fabs (+ m (* -1 n))) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))))
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(* (cos M) (exp (- (fabs (+ m (* -1 n))) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))))
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(* (cos M) (exp (- (fabs (- m n)) (* M (+ M (* 1/4 (/ (pow n 2) M)))))))
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(* (cos M) (exp (- (fabs (- m n)) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))))
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(* (cos M) (exp (- (fabs (- m n)) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))))
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(* (cos M) (exp (- (fabs (- m n)) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))))
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(* (cos M) (exp (- (fabs (- m n)) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))))
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(* (cos M) (exp (- (+ (fabs (- m n)) (* -1 l)) (* M (+ M (* 1/4 (/ (pow n 2) M)))))))
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(* (cos M) (exp (- (+ (fabs (- m n)) (* -1 l)) (* M (+ M (* 1/4 (/ (pow n 2) M)))))))
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(* (cos M) (exp (- (+ (fabs (- m n)) (* -1 l)) (* M (+ M (* 1/4 (/ (pow n 2) M)))))))
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(* (cos M) (exp (- (fabs (- m n)) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))))
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(* (cos M) (exp (- (fabs (- m n)) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))))
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(* (cos M) (exp (- (fabs (- m n)) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))))
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(* (cos M) (exp (- (fabs (- m n)) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))))
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(* (cos M) (exp (- (fabs (- m n)) (+ l (* M (+ M (* 1/4 (/ (pow n 2) M))))))))
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1
#s(literal 1 binary64)
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(+ 1 (* (pow M 2) (- (* 1/24 (pow M 2)) 1/2)))
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(+ 1 (* (pow M 2) (- (* (pow M 2) (+ 1/24 (* -1/720 (pow M 2)))) 1/2)))
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(cos M)
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1
#s(literal 1 binary64)
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(.f64 (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (cos.f64 (.f64 K (*.f64 m #s(literal 1/2 binary64)))))
(* (cos (* 1/2 (* K m))) (+ 1 (* l (- (* 1/2 l) 1))))
(.f64 (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (cos.f64 (.f64 K (*.f64 m #s(literal 1/2 binary64)))))
(cos (* 1/2 (* K m)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(+ (cos (* 1/2 (* K m))) (* -1 (* l (cos (* 1/2 (* K m))))))
(.f64 (cos.f64 (.f64 K (*.f64 m #s(literal 1/2 binary64)))) (+.f64 (neg.f64 l) #s(literal 1 binary64)))
(+ (cos (* 1/2 (* K m))) (* l (+ (* -1 (cos (* 1/2 (* K m)))) (* 1/2 (* l (cos (* 1/2 (* K m))))))))
(.f64 (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (cos.f64 (.f64 K (*.f64 m #s(literal 1/2 binary64)))))
(+ (cos (* 1/2 (* K m))) (* l (+ (* -1 (cos (* 1/2 (* K m)))) (* 1/2 (* l (cos (* 1/2 (* K m))))))))
(.f64 (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (cos.f64 (.f64 K (*.f64 m #s(literal 1/2 binary64)))))
(* 1/2 (* (pow l 2) (cos (* 1/2 (* K m)))))
(.f64 (cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64)))) (.f64 (*.f64 l #s(literal 1/2 binary64)) l))
(* (pow l 2) (+ (* -1 (/ (cos (* 1/2 (* K m))) l)) (* 1/2 (cos (* 1/2 (* K m))))))
(.f64 (.f64 l l) (.f64 (cos.f64 (.f64 K (*.f64 m #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/2 binary64))))
(* (pow l 2) (+ (* -1 (/ (cos (* 1/2 (* K m))) l)) (+ (* 1/2 (cos (* 1/2 (* K m)))) (/ (cos (* 1/2 (* K m))) (pow l 2)))))
(.f64 (.f64 l l) (fma.f64 (cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64)))) (*.f64 l l))))
(* (pow l 2) (+ (* -1 (/ (cos (* 1/2 (* K m))) l)) (+ (* 1/2 (cos (* 1/2 (* K m)))) (/ (cos (* 1/2 (* K m))) (pow l 2)))))
(.f64 (.f64 l l) (fma.f64 (cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/2 binary64)) (/.f64 (cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64)))) (*.f64 l l))))
(* 1/2 (* (pow l 2) (cos (* 1/2 (* K m)))))
(.f64 (cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64)))) (.f64 (*.f64 l #s(literal 1/2 binary64)) l))
(* (pow l 2) (+ (* -1 (/ (cos (* 1/2 (* K m))) l)) (* 1/2 (cos (* 1/2 (* K m))))))
(.f64 (.f64 l l) (.f64 (cos.f64 (.f64 K (*.f64 m #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/2 binary64))))
(* (pow l 2) (+ (* -1 (/ (+ (cos (* 1/2 (* K m))) (* -1 (/ (cos (* 1/2 (* K m))) l))) l)) (* 1/2 (cos (* 1/2 (* K m))))))
(.f64 l (.f64 l (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64)))) (/.f64 (.f64 (cos.f64 (.f64 K (*.f64 m #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) l))) (neg.f64 l)))))
(* (pow l 2) (+ (* -1 (/ (+ (cos (* 1/2 (* K m))) (* -1 (/ (cos (* 1/2 (* K m))) l))) l)) (* 1/2 (cos (* 1/2 (* K m))))))
(.f64 l (.f64 l (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64)))) (/.f64 (.f64 (cos.f64 (.f64 K (*.f64 m #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) l))) (neg.f64 l)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (* (pow K 2) (pow m 2))))
(fma.f64 (.f64 m m) (.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (+ (* -1/8 (pow m 2)) (* 1/384 (* (pow K 2) (pow m 4))))))
(fma.f64 (.f64 K K) (fma.f64 m (.f64 m #s(literal -1/8 binary64)) (.f64 (.f64 K K) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 m m) (.f64 m m))))) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (+ (* -1/8 (pow m 2)) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (pow m 6))) (* 1/384 (pow m 4)))))))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 (pow.f64 m #s(literal 6 binary64)) #s(literal -1/46080 binary64)) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 m m) (.f64 m m)))) (.f64 (.f64 m m) #s(literal -1/8 binary64))) #s(literal 1 binary64))
(cos (* 1/2 (* K m)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(cos (* 1/2 (* K m)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(cos (* 1/2 (* K m)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(cos (* 1/2 (* K m)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(cos (* 1/2 (* K m)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(cos (* 1/2 (* K m)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(cos (* 1/2 (* K m)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(cos (* 1/2 (* K m)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (* (pow K 2) (pow m 2))))
(fma.f64 (.f64 m m) (.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64))
(+ 1 (* (pow m 2) (+ (* -1/8 (pow K 2)) (* 1/384 (* (pow K 4) (pow m 2))))))
(fma.f64 (.f64 m m) (fma.f64 m (.f64 m (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K)))) (.f64 #s(literal -1/8 binary64) (.f64 K K))) #s(literal 1 binary64))
(+ 1 (* (pow m 2) (+ (* -1/8 (pow K 2)) (* (pow m 2) (+ (* -1/46080 (* (pow K 6) (pow m 2))) (* 1/384 (pow K 4)))))))
(fma.f64 (.f64 m m) (fma.f64 (.f64 m m) (fma.f64 (.f64 m m) (.f64 #s(literal -1/46080 binary64) (pow.f64 K #s(literal 6 binary64))) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K)))) (.f64 #s(literal -1/8 binary64) (.f64 K K))) #s(literal 1 binary64))
(cos (* 1/2 (* K m)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(cos (* 1/2 (* K m)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(cos (* 1/2 (* K m)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(cos (* 1/2 (* K m)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(cos (* 1/2 (* K m)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(cos (* 1/2 (* K m)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(cos (* 1/2 (* K m)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(cos (* 1/2 (* K m)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 (* K m))
(.f64 K (.f64 m #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* 1/4 (/ (pow n 2) (pow M 2)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M))
(* -1 (fabs (- m n)))
(neg.f64 (fabs.f64 (-.f64 m n)))
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
l
(* l (+ 1 (* -1 (/ (fabs (- m n)) l))))
(fma.f64 l (/.f64 (fabs.f64 (-.f64 m n)) (neg.f64 l)) l)
(* l (+ 1 (* -1 (/ (fabs (- m n)) l))))
(fma.f64 l (/.f64 (fabs.f64 (-.f64 m n)) (neg.f64 l)) l)
(* l (+ 1 (* -1 (/ (fabs (- m n)) l))))
(fma.f64 l (/.f64 (fabs.f64 (-.f64 m n)) (neg.f64 l)) l)
l
(* -1 (* l (- (/ (fabs (- m n)) l) 1)))
(fma.f64 l (/.f64 (fabs.f64 (-.f64 m n)) (neg.f64 l)) l)
(* -1 (* l (- (/ (fabs (- m n)) l) 1)))
(fma.f64 l (/.f64 (fabs.f64 (-.f64 m n)) (neg.f64 l)) l)
(* -1 (* l (- (/ (fabs (- m n)) l) 1)))
(fma.f64 l (/.f64 (fabs.f64 (-.f64 m n)) (neg.f64 l)) l)
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (neg (+ n (* -1 m)))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (neg (+ n (* -1 m)))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (neg (+ n (* -1 m)))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (neg (+ n (* -1 m)))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (- m n)))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (+ m (* -1 n))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (+ m (* -1 n))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (+ m (* -1 n))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(- l (fabs (+ m (* -1 n))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(* 1/4 n)
(*.f64 #s(literal 1/4 binary64) n)
(* 1/4 n)
(*.f64 #s(literal 1/4 binary64) n)
(* 1/4 n)
(*.f64 #s(literal 1/4 binary64) n)
(* 1/4 n)
(*.f64 #s(literal 1/4 binary64) n)
(* 1/4 n)
(*.f64 #s(literal 1/4 binary64) n)
(* 1/4 n)
(*.f64 #s(literal 1/4 binary64) n)
(* 1/4 n)
(*.f64 #s(literal 1/4 binary64) n)
(* 1/4 n)
(*.f64 #s(literal 1/4 binary64) n)
(* 1/4 n)
(*.f64 #s(literal 1/4 binary64) n)
(* 1/4 n)
(*.f64 #s(literal 1/4 binary64) n)
(* 1/4 n)
(*.f64 #s(literal 1/4 binary64) n)
(* 1/4 n)
(*.f64 #s(literal 1/4 binary64) n)

eval156.0ms (1.2%)

Memory: -18.3MiB live, 223.3MiB allocated
Compiler: Compiled 31 744 to 2 951 computations (90.7% saved)

prune146.0ms (1.1%)

Memory

4.7MiB live, 274.7MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	950	14	964
Fresh	6	9	15
Picked	3	2	5
Done	0	0	0
Total	959	25	984

Accuracy

99.1%

Counts

984 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.1%	(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))
	5.9%	(fma.f64 m (.f64 m (fma.f64 m (.f64 m (fma.f64 #s(literal -1/384 binary64) (*.f64 m m) #s(literal 1/32 binary64))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
	6.8%	(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 K K)) (.f64 (.f64 m m) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
	8.0%	(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
	6.1%	(fma.f64 M (*.f64 M #s(literal -1/2 binary64)) #s(literal 1 binary64))
	6.0%	(fma.f64 #s(literal -1/4 binary64) (*.f64 m m) #s(literal 1 binary64))
	5.9%	(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 n K) (sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))) (cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M)))
	5.1%	(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 m (.f64 #s(literal 1/2 binary64) K))) (.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (.f64 m (.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 m (.f64 #s(literal 1/2 binary64) K))) (.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 m (.f64 #s(literal 1/2 binary64) K)))))) (.f64 (.f64 (cos.f64 (.f64 m (.f64 #s(literal 1/2 binary64) K))) (.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)))) (cos.f64 (.f64 m (*.f64 #s(literal 1/2 binary64) K)))))))
	8.1%	(.f64 (fma.f64 (.f64 m m) (.f64 #s(literal -1/8 binary64) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
	7.5%	(.f64 (fma.f64 (.f64 K K) (fma.f64 m (.f64 m #s(literal -1/8 binary64)) (.f64 (.f64 K K) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 m m) (*.f64 m m))))) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
	20.9%	(.f64 (fma.f64 (.f64 K K) (.f64 (.f64 m m) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
	30.0%	(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 n K) (sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))) (cos.f64 (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) m) M))) (exp.f64 (neg.f64 l)))
	6.4%	(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 M))
	21.5%	(.f64 (cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64)))) (.f64 (*.f64 l #s(literal 1/2 binary64)) l))
	22.6%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
	72.9%	(.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M)) M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	54.7%	(exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)))
✓	53.9%	(exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64)))
	33.1%	(exp.f64 (neg.f64 l))
	6.7%	(exp.f64 (fabs.f64 (-.f64 m n)))
	6.2%	(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
	6.2%	(cos.f64 (.f64 M (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M) #s(literal -1 binary64))))
	6.3%	(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
✓	6.6%	(cos.f64 M)
	6.6%	#s(literal 1 binary64)

Compiler

Compiled 1 574 to 565 computations (64.1% saved)

regimes114.0ms (0.9%)

Memory

6.4MiB live, 122.3MiB allocated

Counts

55 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) (*.f64 m m) #s(literal 1 binary64))
(fma.f64 M (*.f64 M #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 m (.f64 m (fma.f64 m (.f64 m (fma.f64 #s(literal -1/384 binary64) (*.f64 m m) #s(literal 1/32 binary64))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(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))
(.f64 (fma.f64 (.f64 m m) (.f64 #s(literal -1/8 binary64) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 K K)) (.f64 (.f64 m m) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 K K) (fma.f64 m (.f64 m #s(literal -1/8 binary64)) (.f64 (.f64 K K) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 m m) (*.f64 m m))))) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(cos.f64 M)
(exp.f64 (neg.f64 l))
(exp.f64 (fabs.f64 (-.f64 m n)))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 M))
(cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 m K)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(*.f64 (cos.f64 M) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 n (.f64 n #s(literal 1/4 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 M M) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l)))
(.f64 (cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64)))) (.f64 (*.f64 l #s(literal 1/2 binary64)) l))
(.f64 (+.f64 (neg.f64 l) #s(literal 1 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))))
(cos.f64 (.f64 M (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M) #s(literal -1 binary64))))
(.f64 (cos.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) m)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 K K) (.f64 (.f64 m m) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
(.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M)) M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 M) (exp.f64 (neg.f64 (.f64 M M))))
(.f64 (cos.f64 M) (exp.f64 (.f64 (*.f64 n n) #s(literal -1/4 binary64))))
(.f64 (cos.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) m)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 M (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (.f64 n (.f64 n #s(literal -1/4 binary64)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 n K) (sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))) (cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M)))
(.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 M) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M)) M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (fma.f64 (.f64 m m) (fma.f64 (.f64 m m) (fma.f64 #s(literal -1/46080 binary64) (.f64 (.f64 m m) (pow.f64 K #s(literal 6 binary64))) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K)))) (.f64 #s(literal -1/8 binary64) (*.f64 K K))) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 M 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 (fma.f64 M (/.f64 (+.f64 n (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (+.f64 n m) (+.f64 n m)) M) m)) (neg.f64 M)) M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (fma.f64 (.f64 (+.f64 n m) (+.f64 n m)) (/.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 (+.f64 n m) (neg.f64 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 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 n K) (sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))) (cos.f64 (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) m) M))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(fma.f64 n (fma.f64 n (.f64 (cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal -1/4 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) K) (sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M)))) (cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M)))
(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 m n) (.f64 (*.f64 (+.f64 m n) (-.f64 m n)) K))) #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 n m) (+.f64 n m))) (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 n m) (sin.f64 (neg.f64 M))))) (cos.f64 M)) (exp.f64 (neg.f64 l)))
(.f64 (fma.f64 K (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) (sin.f64 M)) (.f64 K (.f64 (.f64 (+.f64 n m) (+.f64 n m)) (.f64 (cos.f64 M) #s(literal -1/8 binary64))))) (cos.f64 M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 m (.f64 #s(literal 1/2 binary64) K))) (.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (.f64 m (.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 m (.f64 #s(literal 1/2 binary64) K))) (.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)))) #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 m (.f64 #s(literal 1/2 binary64) K)))))) (.f64 (.f64 (cos.f64 (.f64 m (.f64 #s(literal 1/2 binary64) K))) (.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)))) (cos.f64 (.f64 m (*.f64 #s(literal 1/2 binary64) K)))))))
(.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (cos.f64 M)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 M)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (cos.f64 M)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 M)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K #s(literal 1/2 binary64)))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)))) (sin.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:

25.0ms	n
25.0ms	K
19.0ms	l
15.0ms	m
15.0ms	M

Results

Accuracy	Segments	Branch
96.8%	1	`K`
96.8%	1	`m`
96.8%	1	`n`
96.8%	1	`M`
96.8%	1	`l`
96.8%	1	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))`

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes137.0ms (1%)

Memory

-22.0MiB live, 161.6MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) (*.f64 m m) #s(literal 1 binary64))
(fma.f64 M (*.f64 M #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 m (.f64 m (fma.f64 m (.f64 m (fma.f64 #s(literal -1/384 binary64) (*.f64 m m) #s(literal 1/32 binary64))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(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))
(.f64 (fma.f64 (.f64 m m) (.f64 #s(literal -1/8 binary64) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 K K)) (.f64 (.f64 m m) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 K K) (fma.f64 m (.f64 m #s(literal -1/8 binary64)) (.f64 (.f64 K K) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 m m) (*.f64 m m))))) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(cos.f64 M)
(exp.f64 (neg.f64 l))
(exp.f64 (fabs.f64 (-.f64 m n)))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 M))
(cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 m K)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(*.f64 (cos.f64 M) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 n (.f64 n #s(literal 1/4 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 M M) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l)))
(.f64 (cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64)))) (.f64 (*.f64 l #s(literal 1/2 binary64)) l))
(.f64 (+.f64 (neg.f64 l) #s(literal 1 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))))
(cos.f64 (.f64 M (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M) #s(literal -1 binary64))))
(.f64 (cos.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) m)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 K K) (.f64 (.f64 m m) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
(.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M)) M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 M) (exp.f64 (neg.f64 (.f64 M M))))
(.f64 (cos.f64 M) (exp.f64 (.f64 (*.f64 n n) #s(literal -1/4 binary64))))
(.f64 (cos.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) m)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 M (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (.f64 n (.f64 n #s(literal -1/4 binary64)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 n K) (sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))) (cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M)))
(.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 M) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M)) M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (fma.f64 (.f64 m m) (fma.f64 (.f64 m m) (fma.f64 #s(literal -1/46080 binary64) (.f64 (.f64 m m) (pow.f64 K #s(literal 6 binary64))) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K)))) (.f64 #s(literal -1/8 binary64) (*.f64 K K))) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 M 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 (fma.f64 M (/.f64 (+.f64 n (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (+.f64 n m) (+.f64 n m)) M) m)) (neg.f64 M)) M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (fma.f64 (.f64 (+.f64 n m) (+.f64 n m)) (/.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 (+.f64 n m) (neg.f64 M))) M))) (-.f64 l (fabs.f64 (-.f64 m n))))))

Outputs

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

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

Calls

6 calls:

48.0ms	(.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))))))
32.0ms	n
14.0ms	m
14.0ms	K
13.0ms	M

Results

Accuracy	Segments	Branch
92.3%	3	`K`
90.4%	3	`m`
91.6%	3	`n`
95.3%	3	`M`
97.5%	2	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))`
90.4%	2	`l`

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes27.0ms (0.2%)

Memory

27.8MiB live, 64.1MiB allocated

Counts

44 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) (*.f64 m m) #s(literal 1 binary64))
(fma.f64 M (*.f64 M #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 m (.f64 m (fma.f64 m (.f64 m (fma.f64 #s(literal -1/384 binary64) (*.f64 m m) #s(literal 1/32 binary64))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(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))
(.f64 (fma.f64 (.f64 m m) (.f64 #s(literal -1/8 binary64) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 K K)) (.f64 (.f64 m m) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 K K) (fma.f64 m (.f64 m #s(literal -1/8 binary64)) (.f64 (.f64 K K) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 m m) (*.f64 m m))))) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(cos.f64 M)
(exp.f64 (neg.f64 l))
(exp.f64 (fabs.f64 (-.f64 m n)))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 M))
(cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 m K)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(*.f64 (cos.f64 M) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 n (.f64 n #s(literal 1/4 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 M M) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l)))
(.f64 (cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64)))) (.f64 (*.f64 l #s(literal 1/2 binary64)) l))
(.f64 (+.f64 (neg.f64 l) #s(literal 1 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))))
(cos.f64 (.f64 M (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M) #s(literal -1 binary64))))
(.f64 (cos.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) m)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 K K) (.f64 (.f64 m m) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
(.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M)) M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 M) (exp.f64 (neg.f64 (.f64 M M))))
(.f64 (cos.f64 M) (exp.f64 (.f64 (*.f64 n n) #s(literal -1/4 binary64))))
(.f64 (cos.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) m)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 M (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (.f64 n (.f64 n #s(literal -1/4 binary64)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 n K) (sin.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))) (cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M)))
(.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 M) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M)) M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (fma.f64 (.f64 m m) (fma.f64 (.f64 m m) (fma.f64 #s(literal -1/46080 binary64) (.f64 (.f64 m m) (pow.f64 K #s(literal 6 binary64))) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) (.f64 K K)))) (.f64 #s(literal -1/8 binary64) (*.f64 K K))) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 M M)) M))) (-.f64 l (fabs.f64 (-.f64 m n))))))

Outputs

(*.f64 (cos.f64 M) (exp.f64 (neg.f64 (*.f64 M M))))

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

(*.f64 (cos.f64 M) (exp.f64 (neg.f64 (*.f64 M M))))

Calls

2 calls:

15.0ms

10.0ms

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

Results

Accuracy	Segments	Branch
95.3%	3	`M`
88.7%	2	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))`

Compiler

Compiled 40 to 26 computations (35% saved)

regimes44.0ms (0.3%)

Memory

-18.8MiB live, 101.3MiB allocated

Counts

31 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) (*.f64 m m) #s(literal 1 binary64))
(fma.f64 M (*.f64 M #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 m (.f64 m (fma.f64 m (.f64 m (fma.f64 #s(literal -1/384 binary64) (*.f64 m m) #s(literal 1/32 binary64))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(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))
(.f64 (fma.f64 (.f64 m m) (.f64 #s(literal -1/8 binary64) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 K K)) (.f64 (.f64 m m) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 K K) (fma.f64 m (.f64 m #s(literal -1/8 binary64)) (.f64 (.f64 K K) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 m m) (*.f64 m m))))) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(cos.f64 M)
(exp.f64 (neg.f64 l))
(exp.f64 (fabs.f64 (-.f64 m n)))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 M))
(cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 m K)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(*.f64 (cos.f64 M) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 n (.f64 n #s(literal 1/4 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 M M) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l)))
(.f64 (cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64)))) (.f64 (*.f64 l #s(literal 1/2 binary64)) l))
(.f64 (+.f64 (neg.f64 l) #s(literal 1 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))))
(cos.f64 (.f64 M (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M) #s(literal -1 binary64))))
(.f64 (cos.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) m)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 K K) (.f64 (.f64 m m) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
(.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (*.f64 M M)) M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))

Outputs

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

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

Calls

4 calls:

12.0ms	M
10.0ms	n
10.0ms	K
9.0ms	l

Results

Accuracy	Segments	Branch
86.5%	1	`n`
89.2%	2	`l`
86.5%	1	`K`
86.5%	1	`M`

Compiler

Compiled 24 to 20 computations (16.7% saved)

regimes27.0ms (0.2%)

Memory

22.6MiB live, 61.0MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) (*.f64 m m) #s(literal 1 binary64))
(fma.f64 M (*.f64 M #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 m (.f64 m (fma.f64 m (.f64 m (fma.f64 #s(literal -1/384 binary64) (*.f64 m m) #s(literal 1/32 binary64))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(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))
(.f64 (fma.f64 (.f64 m m) (.f64 #s(literal -1/8 binary64) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 K K)) (.f64 (.f64 m m) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 K K) (fma.f64 m (.f64 m #s(literal -1/8 binary64)) (.f64 (.f64 K K) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 m m) (*.f64 m m))))) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(cos.f64 M)
(exp.f64 (neg.f64 l))
(exp.f64 (fabs.f64 (-.f64 m n)))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 M))
(cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 m K)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(*.f64 (cos.f64 M) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 n (.f64 n #s(literal 1/4 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 M M) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l)))
(.f64 (cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64)))) (.f64 (*.f64 l #s(literal 1/2 binary64)) l))
(.f64 (+.f64 (neg.f64 l) #s(literal 1 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 n m) K) (neg.f64 M))))
(cos.f64 (.f64 M (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 m K) M) #s(literal -1 binary64))))
(.f64 (cos.f64 (.f64 (*.f64 #s(literal 1/2 binary64) K) m)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 K K) (.f64 (.f64 m m) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))

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

Calls

3 calls:

9.0ms

7.0ms

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

Results

Accuracy	Segments	Branch
86.5%	1	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))`
86.5%	1	`m`
86.5%	1	`l`

Compiler

Compiled 46 to 31 computations (32.6% saved)

regimes48.0ms (0.4%)

Memory

-20.3MiB live, 99.5MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) (*.f64 m m) #s(literal 1 binary64))
(fma.f64 M (*.f64 M #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 m (.f64 m (fma.f64 m (.f64 m (fma.f64 #s(literal -1/384 binary64) (*.f64 m m) #s(literal 1/32 binary64))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(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))
(.f64 (fma.f64 (.f64 m m) (.f64 #s(literal -1/8 binary64) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 K K)) (.f64 (.f64 m m) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 K K) (fma.f64 m (.f64 m #s(literal -1/8 binary64)) (.f64 (.f64 K K) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 m m) (*.f64 m m))))) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(cos.f64 M)
(exp.f64 (neg.f64 l))
(exp.f64 (fabs.f64 (-.f64 m n)))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 M))
(cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 m K)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(*.f64 (cos.f64 M) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 n (.f64 n #s(literal 1/4 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 M M) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))

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

Calls

6 calls:

10.0ms	l
8.0ms	M
8.0ms	m
7.0ms	K
7.0ms	n

Results

Accuracy	Segments	Branch
58.1%	2	`M`
57.7%	2	`K`
79.0%	2	`m`
78.9%	2	`n`
59.6%	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%	4	`l`

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes7.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) (*.f64 m m) #s(literal 1 binary64))
(fma.f64 M (*.f64 M #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 m (.f64 m (fma.f64 m (.f64 m (fma.f64 #s(literal -1/384 binary64) (*.f64 m m) #s(literal 1/32 binary64))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(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))
(.f64 (fma.f64 (.f64 m m) (.f64 #s(literal -1/8 binary64) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 K K)) (.f64 (.f64 m m) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 K K) (fma.f64 m (.f64 m #s(literal -1/8 binary64)) (.f64 (.f64 K K) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 m m) (*.f64 m m))))) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(cos.f64 M)
(exp.f64 (neg.f64 l))
(exp.f64 (fabs.f64 (-.f64 m n)))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 M))
(cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 m K)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64)))
(cos.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) K) m) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M)))
(*.f64 (cos.f64 M) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
78.9%	2	`m`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes18.0ms (0.1%)

Memory

-0.2MiB live, 38.1MiB allocated

Counts

16 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) (*.f64 m m) #s(literal 1 binary64))
(fma.f64 M (*.f64 M #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 m (.f64 m (fma.f64 m (.f64 m (fma.f64 #s(literal -1/384 binary64) (*.f64 m m) #s(literal 1/32 binary64))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(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))
(.f64 (fma.f64 (.f64 m m) (.f64 #s(literal -1/8 binary64) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 K K)) (.f64 (.f64 m m) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 K K) (fma.f64 m (.f64 m #s(literal -1/8 binary64)) (.f64 (.f64 K K) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 m m) (*.f64 m m))))) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(cos.f64 M)
(exp.f64 (neg.f64 l))
(exp.f64 (fabs.f64 (-.f64 m n)))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 M))
(cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 m K)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64)))

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

Calls

3 calls:

6.0ms	m
5.0ms	n
5.0ms	l

Results

Accuracy	Segments	Branch
67.2%	2	`l`
53.9%	1	`n`
70.0%	3	`m`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes46.0ms (0.4%)

Memory

-28.5MiB live, 51.9MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) (*.f64 m m) #s(literal 1 binary64))
(fma.f64 M (*.f64 M #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 m (.f64 m (fma.f64 m (.f64 m (fma.f64 #s(literal -1/384 binary64) (*.f64 m m) #s(literal 1/32 binary64))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(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))
(.f64 (fma.f64 (.f64 m m) (.f64 #s(literal -1/8 binary64) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 K K)) (.f64 (.f64 m m) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 K K) (fma.f64 m (.f64 m #s(literal -1/8 binary64)) (.f64 (.f64 K K) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 m m) (*.f64 m m))))) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(cos.f64 M)
(exp.f64 (neg.f64 l))
(exp.f64 (fabs.f64 (-.f64 m n)))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 M))
(cos.f64 (.f64 #s(literal 1/2 binary64) (.f64 m K)))
(cos.f64 (.f64 K (.f64 m #s(literal 1/2 binary64))))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
33.1%	1	`n`
33.1%	1	`K`
33.1%	1	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))`
33.1%	1	`M`
33.1%	1	`l`
33.1%	1	`m`

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes23.0ms (0.2%)

Memory

28.4MiB live, 28.4MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) (*.f64 m m) #s(literal 1 binary64))
(fma.f64 M (*.f64 M #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 m (.f64 m (fma.f64 m (.f64 m (fma.f64 #s(literal -1/384 binary64) (*.f64 m m) #s(literal 1/32 binary64))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(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))
(.f64 (fma.f64 (.f64 m m) (.f64 #s(literal -1/8 binary64) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 K K)) (.f64 (.f64 m m) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 K K) (fma.f64 m (.f64 m #s(literal -1/8 binary64)) (.f64 (.f64 K K) (.f64 #s(literal 1/384 binary64) (.f64 (.f64 m m) (*.f64 m m))))) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(cos.f64 M)

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

Calls

6 calls:

4.0ms	n
4.0ms	l
4.0ms	K
4.0ms	M
4.0ms	m

Results

Accuracy	Segments	Branch
8.1%	1	`m`
8.1%	1	`n`
8.1%	1	`K`
8.1%	1	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))`
8.1%	1	`M`
8.1%	1	`l`

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes43.0ms (0.3%)

Memory

-19.3MiB live, 19.6MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) (*.f64 m m) #s(literal 1 binary64))
(fma.f64 M (*.f64 M #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 m (.f64 m (fma.f64 m (.f64 m (fma.f64 #s(literal -1/384 binary64) (*.f64 m m) #s(literal 1/32 binary64))) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(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))

Outputs
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))

Calls

6 calls:

29.0ms	l
3.0ms	n
3.0ms	m
3.0ms	M
3.0ms	K

Results

Accuracy	Segments	Branch
8.0%	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))))))`
8.0%	1	`K`
8.0%	1	`l`
8.0%	1	`n`
8.0%	1	`M`
8.0%	1	`m`

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes12.0ms (0.1%)

Memory

24.8MiB live, 24.8MiB allocated

Accuracy

Total -0.6b remaining (-1%)

Threshold costs -0.6b (-1%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) (*.f64 m m) #s(literal 1 binary64))
(fma.f64 M (*.f64 M #s(literal -1/2 binary64)) #s(literal 1 binary64))

Outputs
#s(literal 1 binary64)

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
6.6%	1	`l`
6.6%	1	`m`
6.6%	1	`K`
6.6%	1	`M`
6.6%	1	`n`
6.6%	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)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999999999993506

Compiler

Compiled 37 to 29 computations (21.6% saved)

bsearch64.0ms (0.5%)

Memory

-10.1MiB live, 76.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	0.09900022022582111	4.3201650503116805e+21
22.0ms	-4.5725220847461116e+94	-3.6001596344868486e+91

Samples

42.0ms	290×	0	valid
4.0ms	14×	1	valid

Compiler

Compiled 721 to 504 computations (30.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-cos: 10.0ms (28.2% of total)

ival-sub: 7.0ms (19.8% of total)

ival-div: 4.0ms (11.3% of total)

ival-mult: 4.0ms (11.3% of total)

ival-pow2: 3.0ms (8.5% of total)

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

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

adjust: 1.0ms (2.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory

7.5MiB live, 7.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	-2.4882094296356303e+151	-2.3404658772233542e+151

Samples

1.0ms	13×	0	valid
1.0ms	3×	1	valid

Compiler

Compiled 90 to 64 computations (28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

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

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

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

bsearch20.0ms (0.1%)

Memory

-3.4MiB live, 34.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-1218968336.433488	-212349046.45605963

Samples

11.0ms	88×	0	valid
2.0ms	8×	1	valid

Compiler

Compiled 211 to 167 computations (20.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 4.0ms (37.7% of total)

ival-add: 1.0ms (9.4% of total)

ival-div: 1.0ms (9.4% of total)

ival-mult: 1.0ms (9.4% of total)

ival-exp: 1.0ms (9.4% of total)

ival-pow2: 1.0ms (9.4% of total)

ival-cos: 1.0ms (9.4% 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)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1218968336.433488	-212349046.45605963

Compiler

Compiled 181 to 149 computations (17.7% saved)

bsearch56.0ms (0.4%)

Memory

-20.5MiB live, 96.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	3.2822392367766544e-13	6.878457451164915e-11
25.0ms	-212349046.45605963	-903.0002563470215

Samples

32.0ms	235×	0	valid
6.0ms	21×	1	valid

Compiler

Compiled 373 to 317 computations (15% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-sub: 6.0ms (23.1% of total)

ival-div: 4.0ms (15.4% of total)

ival-cos: 4.0ms (15.4% of total)

ival-mult: 3.0ms (11.6% of total)

ival-pow2: 3.0ms (11.6% of total)

ival-exp: 2.0ms (7.7% of total)

ival-add: 2.0ms (7.7% of total)

adjust: 1.0ms (3.9% of total)

ival-neg: 1.0ms (3.9% of total)

ival-fabs: 1.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

simplify18.0ms (0.1%)

Memory

0.8MiB live, 39.9MiB allocated

Algorithm

1×	egg-herbie

Rules

86×	`+-commutative_binary64`
80×	`*-commutative_binary64`
74×	`sub-neg_binary64`
62×	`neg-sub0_binary64`
62×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	299
1	161	299
2	222	299
3	280	295
4	332	295
5	366	295
6	382	295
7	384	295

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 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #s(literal 0 binary64)) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (+.f64 n (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (+.f64 n m) (+.f64 n m)) M) m)) (neg.f64 M)) M))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l))))
(if (<=.f64 M #s(literal -62999999999999998680046586094941882792304004167895401778432285430755617831034469712343859200 binary64)) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (.f64 M M)))) (if (<=.f64 M #s(literal 14500000000000 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 (cos.f64 M) (exp.f64 (neg.f64 (*.f64 M M))))))
(if (<=.f64 l #s(literal -24499999999999999621326946761666538787706916329743377224938707934690210284176400180499218595272158638860081815741757828389207492897878138423542854713344 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 M M)) M))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) l))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l)))
(if (<=.f64 m #s(literal -215000000 binary64)) (exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 n (.f64 n #s(literal 1/4 binary64))))))
(if (<=.f64 m #s(literal -215000000 binary64)) (exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64))) (exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64))))
(if (<=.f64 m #s(literal -920 binary64)) (exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64))) (if (<=.f64 m #s(literal 2553251331026097/38685626227668133590597632 binary64)) (exp.f64 (neg.f64 l)) (exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
(exp.f64 (neg.f64 l))
(.f64 (fma.f64 (.f64 m m) (.f64 #s(literal -1/8 binary64) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
#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 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #s(literal 0 binary64)) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (+.f64 n (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (+.f64 n m) (+.f64 n m)) M) m)) (neg.f64 M)) M))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l))))
(if (<=.f64 (.f64 (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)))) (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))) #s(literal 0 binary64)) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M (fma.f64 M (/.f64 (+.f64 n (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (+.f64 m n) (+.f64 m n)) M) m)) (neg.f64 M)) M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 m n) (+.f64 m n)) l))))
(if (<=.f64 M #s(literal -62999999999999998680046586094941882792304004167895401778432285430755617831034469712343859200 binary64)) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (.f64 M M)))) (if (<=.f64 M #s(literal 14500000000000 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 (cos.f64 M) (exp.f64 (neg.f64 (*.f64 M M))))))
(if (<=.f64 M #s(literal -62999999999999998680046586094941882792304004167895401778432285430755617831034469712343859200 binary64)) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M #s(literal 14500000000000 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 m n) (+.f64 m n)) l))) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M))))))
(if (<=.f64 l #s(literal -24499999999999999621326946761666538787706916329743377224938707934690210284176400180499218595272158638860081815741757828389207492897878138423542854713344 binary64)) (.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 M M)) M))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 n m) (+.f64 n m)) l))))
(if (<=.f64 l #s(literal -24499999999999999621326946761666538787706916329743377224938707934690210284176400180499218595272158638860081815741757828389207492897878138423542854713344 binary64)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M (fma.f64 M (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 n n)) (.f64 M M)) M)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 m n) (+.f64 m n)) l))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 n m) (+.f64 n m)) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 m n) (+.f64 m n)) l)))
(if (<=.f64 m #s(literal -215000000 binary64)) (exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 n (.f64 n #s(literal 1/4 binary64))))))
(if (<=.f64 m #s(literal -215000000 binary64)) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 m m))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 n (.f64 n #s(literal 1/4 binary64))))))
(if (<=.f64 m #s(literal -215000000 binary64)) (exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64))) (exp.f64 (.f64 (.f64 n n) #s(literal -1/4 binary64))))
(if (<=.f64 m #s(literal -215000000 binary64)) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 m m))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 n n))))
(if (<=.f64 m #s(literal -920 binary64)) (exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64))) (if (<=.f64 m #s(literal 2553251331026097/38685626227668133590597632 binary64)) (exp.f64 (neg.f64 l)) (exp.f64 (.f64 (.f64 m m) #s(literal -1/4 binary64)))))
(if (<=.f64 m #s(literal -920 binary64)) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 m m))) (if (<=.f64 m #s(literal 2553251331026097/38685626227668133590597632 binary64)) (exp.f64 (neg.f64 l)) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 m m)))))
(exp.f64 (neg.f64 l))
(.f64 (fma.f64 (.f64 m m) (.f64 #s(literal -1/8 binary64) (.f64 K K)) #s(literal 1 binary64)) (fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 l (fma.f64 l #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.1s (8.5%)

Memory

33.8MiB live, 1 221.4MiB allocated

Rules

12 906×	`lower-fma.f64`
12 906×	`lower-fma.f32`
10 032×	`lower-fma.f64`
10 032×	`lower-fma.f32`
9 978×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	379	5557
1	1163	5309
2	3834	5259
0	8073	4898
0	832	9556
1	2601	9199
2	6938	9132
0	8241	8570
0	388	3016
1	1162	2963
2	3519	2940
0	8866	2818
0	1223	15538
1	3923	15073
0	8487	14490

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 1 257 to 760 computations (39.5% saved)

preprocess83.0ms (0.6%)

Memory: 7.6MiB live, 159.3MiB allocated
Remove: (sort m n)
Compiler: Compiled 1 226 to 460 computations (62.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample1.8s (13.7%)

preprocess376.0ms (2.9%)

explain770.0ms (5.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify387.0ms (3%)

localize112.0ms (0.9%)

series24.0ms (0.2%)

rewrite421.0ms (3.2%)

simplify394.0ms (3%)

eval83.0ms (0.6%)

prune112.0ms (0.9%)

simplify360.0ms (2.7%)

localize335.0ms (2.5%)

series93.0ms (0.7%)

rewrite642.0ms (4.9%)

simplify543.0ms (4.1%)

eval429.0ms (3.3%)

prune324.0ms (2.5%)

simplify314.0ms (2.4%)

localize280.0ms (2.1%)

series77.0ms (0.6%)

rewrite497.0ms (3.8%)

simplify626.0ms (4.8%)

eval288.0ms (2.2%)

prune259.0ms (2%)

simplify415.0ms (3.2%)

localize162.0ms (1.2%)

series34.0ms (0.3%)

rewrite319.0ms (2.4%)

simplify434.0ms (3.3%)

eval156.0ms (1.2%)

prune146.0ms (1.1%)

regimes114.0ms (0.9%)

regimes137.0ms (1%)

regimes27.0ms (0.2%)

regimes44.0ms (0.3%)

regimes27.0ms (0.2%)

regimes48.0ms (0.4%)

regimes7.0ms (0.1%)

regimes18.0ms (0.1%)

regimes46.0ms (0.4%)

regimes23.0ms (0.2%)

regimes43.0ms (0.3%)

regimes12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch64.0ms (0.5%)

bsearch4.0ms (0%)

bsearch20.0ms (0.1%)

bsearch1.0ms (0%)

bsearch56.0ms (0.4%)

simplify18.0ms (0.1%)

soundness1.1s (8.5%)

preprocess83.0ms (0.6%)

end0.0ms (0%)

Profiling