Maksimov and Kolovsky, Equation (32)

Time bar (total: 10.9s)

start0.0ms (0%)

Memory
0.3MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 31 to 23 computations (25.8% saved)

sample2.3s (21%)

Memory
-161.4MiB live, 2 407.4MiB allocated
Samples
1.3s7 822×0valid
207.0ms434×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 263.0ms (22.9% of total)
ival-sub: 198.0ms (17.2% of total)
ival-div: 113.0ms (9.8% of total)
ival-neg: 113.0ms (9.8% of total)
ival-pow2: 110.0ms (9.6% of total)
ival-cos: 103.0ms (9% of total)
ival-exp: 85.0ms (7.4% of total)
ival-add: 80.0ms (7% of total)
adjust: 38.0ms (3.3% of total)
ival-fabs: 34.0ms (3% of total)
ival-true: 6.0ms (0.5% of total)
exact: 5.0ms (0.4% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain502.0ms (4.6%)

Memory
0.8MiB live, 916.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
18232(-2.4526686810101965e-286 4.0691104881782923e+236 -5.317080817445619e-195 3.3470242539640845e+281 -3.8476579608493474e-173)0-(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
00-0-(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
00-0-K
00-0-(/.f64 (+.f64 m n) #s(literal 2 binary64))
00-0-(-.f64 l (fabs.f64 (-.f64 m n)))
00-0-(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
00-0-(-.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))))
00-0-(+.f64 m n)
00-0-(fabs.f64 (-.f64 m n))
00-0-m
00-0-(*.f64 K (+.f64 m n))
00-0-n
00-0-(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)))))
00-0-(*.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))))))
00-0-(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
00-0-(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
00-0-(-.f64 m n)
00-0-(-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)
00-0-#s(literal 2 binary64)
00-0-l
00-0-M
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))sensitivity1600
cos.f64(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))oflow-rescue540
↳(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))overflow54
↳(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)overflow54
↳(*.f64 K (+.f64 m n))overflow54
Confusion
Predicted +Predicted -
+640
-15042
Precision
0.29906542056074764
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6400
-150042
Precision?
0.29906542056074764
Recall?
1.0
Freqs
test
numberfreq
042
1214
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
161.0ms422×1valid
16.0ms90×0valid
Compiler

Compiled 334 to 67 computations (79.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-sub: 27.0ms (20.4% of total)
adjust: 18.0ms (13.6% of total)
ival-cos: 18.0ms (13.6% of total)
ival-mult: 14.0ms (10.6% of total)
ival-div: 13.0ms (9.8% of total)
ival-pow2: 13.0ms (9.8% of total)
ival-fabs: 12.0ms (9.1% of total)
ival-add: 7.0ms (5.3% of total)
ival-exp: 5.0ms (3.8% of total)
ival-neg: 4.0ms (3% of total)
ival-true: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess205.0ms (1.9%)

Memory
4.8MiB live, 268.9MiB 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)

IterNodesCost
0209597
1575589
21511565
35225565
02129
03629
16729
213428
337628
4130728
5468228
0852227
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 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))) (cos.f64 (fma.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K M)))
Symmetry

(sort m n)

Compiler

Compiled 34 to 21 computations (38.2% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.5%
(*.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)

simplify370.0ms (3.4%)

Memory
-31.8MiB live, 194.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
cost-diff128
(-.f64 (neg.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-diff384
(/.f64 (+.f64 m n) #s(literal 2 binary64))
cost-diff512
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
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)

IterNodesCost
021148
036148
167148
2134145
3376145
41307145
54682145
08522143
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 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))) (cos.f64 (fma.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K M)))
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(cos.f64 (fma.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K M))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
(-.f64 (/.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64)) 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 (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 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) #s(literal 1/2 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))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))
(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
(pow.f64 (-.f64 (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)
(-.f64 (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) M)
(/.f64 (+.f64 m n) #s(literal 2 binary64))
(*.f64 (+.f64 n m) #s(literal 1/2 binary64))
(-.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)

localize124.0ms (1.1%)

Memory
-5.7MiB live, 188.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
accuracy0.0078125
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
accuracy0.0078125
(*.f64 K (+.f64 m n))
accuracy41.42527259081152
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
Samples
88.0ms211×1valid
8.0ms45×0valid
Compiler

Compiled 150 to 23 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-sub: 9.0ms (16% of total)
adjust: 9.0ms (16% of total)
ival-pow2: 9.0ms (16% of total)
ival-cos: 9.0ms (16% of total)
ival-div: 6.0ms (10.7% of total)
ival-mult: 5.0ms (8.9% of total)
ival-add: 3.0ms (5.3% of total)
ival-exp: 2.0ms (3.6% of total)
ival-neg: 2.0ms (3.6% of total)
ival-fabs: 2.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series48.0ms (0.4%)

Memory
9.6MiB live, 82.7MiB allocated
Counts
7 → 300
Calls
Call 1
Inputs
#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 m n) #s(literal 2 binary64)) (patch (/.f64 (+.f64 m n) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))) (patch (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))) #<representation binary64>) () ())
#s(alt (*.f64 (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)))))) (patch (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())
#s(alt (*.f64 K (+.f64 m n)) (patch (*.f64 K (+.f64 m n)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())
#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>) () ())
Outputs
#s(alt (cos (neg M)) (taylor 0 K) (#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 (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n))))) (taylor 0 K) (#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 (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n)))))) (taylor 0 K) (#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 (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)))))) (taylor 0 K) (#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 (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))) (taylor 0 K) (#s(alt (*.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)))))) (patch (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))) (taylor 0 K) (#s(alt (*.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)))))) (patch (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))) (taylor 0 K) (#s(alt (*.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)))))) (patch (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))) (taylor 0 K) (#s(alt (*.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)))))) (patch (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
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#s(alt (* -1/4 (pow m 2)) (taylor -inf m) (#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 (* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4)) (taylor -inf m) (#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 (* (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)) (taylor -inf m) (#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 (* (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)) (taylor -inf m) (#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 (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))) (taylor -inf m) (#s(alt (*.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)))))) (patch (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))) (taylor -inf m) (#s(alt (*.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)))))) (patch (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))) (taylor -inf m) (#s(alt (*.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)))))) (patch (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))) (taylor -inf m) (#s(alt (*.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)))))) (patch (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (* 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 (* 1/2 (* K m)) (taylor -inf m) (#s(alt (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K)))) (taylor -inf m) (#s(alt (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K)))) (taylor -inf m) (#s(alt (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K)))) (taylor -inf m) (#s(alt (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (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>) () ())) ())
Calls

15 calls:

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

simplify200.0ms (1.8%)

Memory
28.1MiB live, 259.6MiB allocated
Algorithm
1×egg-herbie
Rules
11 370×lower-fma.f64
11 370×lower-fma.f32
7 982×lower-*.f64
7 982×lower-*.f32
3 248×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06226794
119516580
266806580
081336357
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* -1 M)
(- (* 1/2 (* K (+ m n))) M)
(- (* 1/2 (* K (+ m n))) M)
(- (* 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)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* 1/2 (* K (+ m n)))
(* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))
(* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))
(* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* 1/2 (* K (+ m n)))
(* -1 (* K (+ (* -1/2 (+ m n)) (/ M K))))
(* -1 (* K (+ (* -1/2 (+ m n)) (/ M K))))
(* -1 (* K (+ (* -1/2 (+ m n)) (/ M K))))
(cos (- (* 1/2 (* K m)) M))
(+ (cos (- (* 1/2 (* K m)) M)) (* -1/2 (* K (* n (sin (- (* 1/2 (* K m)) M))))))
(+ (cos (- (* 1/2 (* K m)) M)) (* n (- (* -1/8 (* (pow K 2) (* n (cos (- (* 1/2 (* K m)) M))))) (* 1/2 (* K (sin (- (* 1/2 (* K m)) M)))))))
(+ (cos (- (* 1/2 (* K m)) M)) (* n (- (* n (+ (* -1/8 (* (pow K 2) (cos (- (* 1/2 (* K m)) M)))) (* 1/48 (* (pow K 3) (* n (sin (- (* 1/2 (* K m)) M))))))) (* 1/2 (* K (sin (- (* 1/2 (* K m)) M)))))))
(* 1/2 m)
(+ (* 1/2 m) (* 1/2 n))
(+ (* 1/2 m) (* 1/2 n))
(+ (* 1/2 m) (* 1/2 n))
(- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))
(- (+ (fabs (- m n)) (* n (- M (* 1/2 m)))) (+ l (pow (- (* 1/2 m) M) 2)))
(- (+ (fabs (- m n)) (* n (- (+ M (* -1/4 n)) (* 1/2 m)))) (+ l (pow (- (* 1/2 m) M) 2)))
(- (+ (fabs (- m n)) (* n (- (+ M (* -1/4 n)) (* 1/2 m)))) (+ l (pow (- (* 1/2 m) M) 2)))
(* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))))
(+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m)))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))
(+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* (sin (- (* 1/2 (* K m)) M)) (- M (* 1/2 m)))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4)))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))
(+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* (sin (- (* 1/2 (* K m)) M)) (- M (* 1/2 m)))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))) (+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* (sin (- (* 1/2 (* K m)) M)) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m)))))) (+ (* 1/48 (* (pow K 3) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (+ (* -1/4 (- M (* 1/2 m))) (* 1/6 (pow (- M (* 1/2 m)) 3))))))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4))))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))
(* K m)
(+ (* K m) (* K n))
(+ (* K m) (* K n))
(+ (* K m) (* K n))
(- (* 1/2 (* K m)) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(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))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* 1/2 n)
(* n (+ 1/2 (* 1/2 (/ m n))))
(* n (+ 1/2 (* 1/2 (/ m n))))
(* n (+ 1/2 (* 1/2 (/ m n))))
(* -1/4 (pow n 2))
(* (pow n 2) (- (/ M n) (+ 1/4 (* 1/2 (/ m n)))))
(* (pow n 2) (- (+ (/ M n) (/ (fabs (- m n)) (pow n 2))) (+ 1/4 (+ (* 1/2 (/ m n)) (+ (/ l (pow n 2)) (/ (pow (- (* 1/2 m) M) 2) (pow n 2)))))))
(* (pow n 2) (- (+ (/ M n) (/ (fabs (- m n)) (pow n 2))) (+ 1/4 (+ (* 1/2 (/ m n)) (+ (/ l (pow n 2)) (/ (pow (- (* 1/2 m) M) 2) (pow n 2)))))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* K n)
(* n (+ K (/ (* K m) n)))
(* n (+ K (/ (* K m) n)))
(* n (+ K (/ (* K m) n)))
(* 1/2 (* K n))
(* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n)))
(* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n)))
(* n (- (+ (* 1/2 K) (* 1/2 (/ (* K m) n))) (/ M n)))
(* 1/4 (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)))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(cos (- (* 1/2 (* K (- m (* -1 n)))) M))
(* 1/2 n)
(* -1 (* n (- (* -1/2 (/ m n)) 1/2)))
(* -1 (* n (- (* -1/2 (/ m n)) 1/2)))
(* -1 (* n (- (* -1/2 (/ m n)) 1/2)))
(* -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))
(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
(* (cos (- (* 1/2 (* K (- m (* -1 n)))) M)) (exp (- (fabs (+ m (* -1 n))) (+ l (pow (- (* 1/2 (- m (* -1 n))) M) 2)))))
(* K n)
(* -1 (* n (+ (* -1 K) (* -1 (/ (* K m) n)))))
(* -1 (* n (+ (* -1 K) (* -1 (/ (* K m) n)))))
(* -1 (* n (+ (* -1 K) (* -1 (/ (* K m) n)))))
(* 1/2 (* K n))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K))))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K))))
(* -1 (* n (+ (* -1 (/ (- (* 1/2 (* K m)) M) n)) (* -1/2 K))))
(* 1/4 (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))))
(- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))
(- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))
(- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))
(- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))
(+ (* -1 (* l (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))))) (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* l (+ (* -1 (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))) (* 1/2 (* l (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))))))) (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* l (+ (* -1 (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))) (* l (+ (* -1/6 (* l (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))))) (* 1/2 (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2))))))))) (* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)))))
(* -1 l)
(* l (- (/ (fabs (- m n)) l) (+ 1 (/ (pow (- (* 1/2 (+ m n)) M) 2) l))))
(* l (- (/ (fabs (- m n)) l) (+ 1 (/ (pow (- (* 1/2 (+ m n)) M) 2) l))))
(* l (- (/ (fabs (- m n)) l) (+ 1 (/ (pow (- (* 1/2 (+ m n)) M) 2) l))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* -1 l)
(* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)) l)))))
(* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)) l)))))
(* -1 (* l (+ 1 (* -1 (/ (- (fabs (- m n)) (pow (- (* 1/2 (+ m n)) M) 2)) l)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (+ (fabs (- m n)) (* -1 l)) (pow (- (* 1/2 (+ m n)) M) 2))))
(cos (* 1/2 (* K (+ m n))))
(+ (cos (* 1/2 (* K (+ m n)))) (* M (sin (* 1/2 (* K (+ m n))))))
(+ (cos (* 1/2 (* K (+ m n)))) (* M (- (* -1/2 (* M (cos (* 1/2 (* K (+ m n)))))) (* -1 (sin (* 1/2 (* K (+ m n))))))))
(+ (cos (* 1/2 (* K (+ m n)))) (* M (- (* M (+ (* -1/2 (cos (* 1/2 (* K (+ m n))))) (* -1/6 (* M (sin (* 1/2 (* K (+ m n)))))))) (* -1 (sin (* 1/2 (* K (+ m n))))))))
(- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))
(- (+ (fabs (- m n)) (* M (+ m n))) (+ l (* 1/4 (pow (+ m n) 2))))
(- (+ (fabs (- m n)) (* M (- (* -1 M) (* -1 (+ m n))))) (+ l (* 1/4 (pow (+ m n) 2))))
(- (+ (fabs (- m n)) (* M (- (* -1 M) (* -1 (+ m n))))) (+ l (* 1/4 (pow (+ m n) 2))))
(* (cos (* 1/2 (* K (+ m n)))) (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))))
(+ (* M (+ (* (cos (* 1/2 (* K (+ m n)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ m n))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (sin (* 1/2 (* K (+ m n))))))) (* (cos (* 1/2 (* K (+ m n)))) (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))))))
(+ (* M (+ (* M (+ (* -1/2 (* (cos (* 1/2 (* K (+ m n)))) (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))))) (+ (* (cos (* 1/2 (* K (+ m n)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (- (* 1/2 (pow (+ m n) 2)) 1))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* (sin (* 1/2 (* K (+ m n)))) (+ m n)))))) (+ (* (cos (* 1/2 (* K (+ m n)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ m n))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (sin (* 1/2 (* K (+ m n)))))))) (* (cos (* 1/2 (* K (+ m n)))) (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))))))
(+ (* M (+ (* M (+ (* -1/2 (* (cos (* 1/2 (* K (+ m n)))) (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))))) (+ (* M (+ (* -1/2 (* (cos (* 1/2 (* K (+ m n)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ m n)))) (+ (* -1/6 (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (sin (* 1/2 (* K (+ m n)))))) (+ (* (cos (* 1/2 (* K (+ m n)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ (* -1 (+ m n)) (* 1/6 (pow (+ m n) 3))))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* (sin (* 1/2 (* K (+ m n)))) (- (* 1/2 (pow (+ m n) 2)) 1))))))) (+ (* (cos (* 1/2 (* K (+ m n)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (- (* 1/2 (pow (+ m n) 2)) 1))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (* (sin (* 1/2 (* K (+ m n)))) (+ m n))))))) (+ (* (cos (* 1/2 (* K (+ m n)))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (+ m n))) (* (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2))))) (sin (* 1/2 (* K (+ m n)))))))) (* (cos (* 1/2 (* K (+ m n)))) (exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))))))
(* 1/2 (* K (+ m n)))
(+ (* -1 M) (* 1/2 (* K (+ m n))))
(+ (* -1 M) (* 1/2 (* K (+ m n))))
(+ (* -1 M) (* 1/2 (* K (+ m n))))
(* 1/4 (pow (+ m n) 2))
(+ (* -1 (* M (+ m n))) (* 1/4 (pow (+ m n) 2)))
(+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* -1 (+ m n)))))
(+ (* 1/4 (pow (+ m n) 2)) (* M (+ M (* -1 (+ m n)))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* -1 (pow M 2))
(* (pow M 2) (- (+ (/ m M) (/ n M)) 1))
(* (pow M 2) (- (/ (fabs (- m n)) (pow M 2)) (+ 1 (+ (* -1 (/ (+ m n) M)) (+ (* 1/4 (/ (pow (+ m n) 2) (pow M 2))) (/ l (pow M 2)))))))
(* (pow M 2) (- (/ (fabs (- m n)) (pow M 2)) (+ 1 (+ (* -1 (/ (+ m n) M)) (+ (* 1/4 (/ (pow (+ m n) 2) (pow M 2))) (/ l (pow M 2)))))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* -1 M)
(* M (- (* 1/2 (/ (* K (+ m n)) M)) 1))
(* M (- (* 1/2 (/ (* K (+ m n)) M)) 1))
(* M (- (* 1/2 (/ (* K (+ m n)) M)) 1))
(pow M 2)
(* (pow M 2) (+ 1 (* -1 (/ (+ m n) M))))
(* (pow M 2) (+ 1 (+ (* -1 (/ (+ m n) M)) (* 1/4 (/ (pow (+ m n) 2) (pow M 2))))))
(* (pow M 2) (+ 1 (+ (* -1 (/ (+ m n) M)) (* 1/4 (/ (pow (+ m n) 2) (pow M 2))))))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(cos (+ (* -1 M) (* 1/2 (* K (+ m n)))))
(* -1 (pow M 2))
(* (pow M 2) (- (+ (/ m M) (/ n M)) 1))
(* (pow M 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))) M)) (+ m n)) M)) 1))
(* (pow M 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))) M)) (+ m n)) M)) 1))
(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2)))))
(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2)))))
(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2)))))
(* (cos (+ (* -1 M) (* 1/2 (* K (+ m n))))) (exp (- (fabs (- m n)) (+ l (pow (+ (* -1 M) (* 1/2 (+ m n))) 2)))))
(* -1 M)
(* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M)))))
(* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M)))))
(* -1 (* M (+ 1 (* -1/2 (/ (* K (+ m n)) M)))))
(pow M 2)
(* (pow M 2) (+ 1 (* -1 (/ (+ m n) M))))
(* (pow M 2) (+ 1 (* -1 (/ (+ m (+ n (* -1/4 (/ (pow (+ m n) 2) M)))) M))))
(* (pow M 2) (+ 1 (* -1 (/ (+ m (+ n (* -1/4 (/ (pow (+ m n) 2) M)))) M))))
(cos (- (* 1/2 (* K n)) M))
(+ (cos (- (* 1/2 (* K n)) M)) (* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M))))))
(+ (cos (- (* 1/2 (* K n)) M)) (* m (- (* -1/8 (* (pow K 2) (* m (cos (- (* 1/2 (* K n)) M))))) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(+ (cos (- (* 1/2 (* K n)) M)) (* m (- (* m (+ (* -1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) (* 1/48 (* (pow K 3) (* m (sin (- (* 1/2 (* K n)) M))))))) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(* 1/2 n)
(+ (* 1/2 m) (* 1/2 n))
(+ (* 1/2 m) (* 1/2 n))
(+ (* 1/2 m) (* 1/2 n))
(- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))
(- (+ (fabs (- m n)) (* m (- M (* 1/2 n)))) (+ l (pow (- (* 1/2 n) M) 2)))
(- (+ (fabs (- m n)) (* m (- (+ M (* -1/4 m)) (* 1/2 n)))) (+ l (pow (- (* 1/2 n) M) 2)))
(- (+ (fabs (- m n)) (* m (- (+ M (* -1/4 m)) (* 1/2 n)))) (+ l (pow (- (* 1/2 n) M) 2)))
(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
(+ (* m (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (- (* 1/2 (* K n)) M))))) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n)))))) (* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))
(+ (* m (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (- (* 1/2 (* K n)) M))))) (+ (* m (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (* (sin (- (* 1/2 (* K n)) M)) (- M (* 1/2 n)))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 n)) 2)) 1/4)))))) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n))))))) (* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))
(+ (* m (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (- (* 1/2 (* K n)) M))))) (+ (* m (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (* (sin (- (* 1/2 (* K n)) M)) (- M (* 1/2 n)))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))) (+ (* m (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (* (sin (- (* 1/2 (* K n)) M)) (- (* 1/2 (pow (- M (* 1/2 n)) 2)) 1/4))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n)))))) (+ (* 1/48 (* (pow K 3) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (- (* 1/2 (* K n)) M))))) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (+ (* -1/4 (- M (* 1/2 n))) (* 1/6 (pow (- M (* 1/2 n)) 3))))))))) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 n)) 2)) 1/4))))))) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n))))))) (* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))
(* K n)
(+ (* K m) (* K n))
(+ (* K m) (* K n))
(+ (* K m) (* K n))
(- (* 1/2 (* K n)) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(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))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* 1/2 m)
(* m (+ 1/2 (* 1/2 (/ n m))))
(* m (+ 1/2 (* 1/2 (/ n m))))
(* m (+ 1/2 (* 1/2 (/ n m))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (/ M m) (+ 1/4 (* 1/2 (/ n m)))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* K m)
(* m (+ K (/ (* K n) m)))
(* m (+ K (/ (* K n) m)))
(* m (+ K (/ (* K n) m)))
(* 1/2 (* K m))
(* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m)))
(* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m)))
(* m (- (+ (* 1/2 K) (* 1/2 (/ (* K n) m))) (/ M m)))
(* 1/4 (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)))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(* 1/2 m)
(* -1 (* m (- (* -1/2 (/ n m)) 1/2)))
(* -1 (* m (- (* -1/2 (/ n m)) 1/2)))
(* -1 (* m (- (* -1/2 (/ n m)) 1/2)))
(* -1/4 (pow m 2))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* 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)))))
(* 1/2 (* K m))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(* 1/4 (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))))
Outputs
(cos (neg M))
(cos.f64 M)
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
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(+ (* K m) (* K n))
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(+ (* K m) (* K n))
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(+ (* K m) (* K n))
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(- (* 1/2 (* K m)) M)
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(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(fma.f64 (*.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M))
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(fma.f64 (*.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M))
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(fma.f64 (*.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M))
(pow (- (* 1/2 m) M) 2)
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(* 1/2 n)
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(* n (+ 1/2 (* 1/2 (/ m n))))
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(* K n)
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(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) m) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) m) #s(literal 1 binary64) #s(literal -1/4 binary64)) (*.f64 m m))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (*.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (*.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (*.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (*.f64 (+.f64 n m) K) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))
(* K m)
(*.f64 m K)
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(*.f64 (fma.f64 (/.f64 n m) K K) m)
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(*.f64 (fma.f64 (/.f64 n m) K K) m)
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(*.f64 (fma.f64 (/.f64 n m) K K) m)
(* 1/2 (* K m))
(*.f64 (*.f64 m K) #s(literal 1/2 binary64))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(*.f64 (fma.f64 K #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)) (neg.f64 m))) (neg.f64 m))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(*.f64 (fma.f64 K #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)) (neg.f64 m))) (neg.f64 m))
(* -1 (* m (+ (* -1 (/ (- (* 1/2 (* K n)) M) m)) (* -1/2 K))))
(*.f64 (fma.f64 K #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)) (neg.f64 m))) (neg.f64 m))
(* 1/4 (pow m 2))
(*.f64 (*.f64 m m) #s(literal 1/4 binary64))
(* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m) #s(literal 1/4 binary64)) (*.f64 m m))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) m)) (*.f64 m m))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) m)) (*.f64 m m))

rewrite245.0ms (2.2%)

Memory
-28.1MiB live, 339.8MiB allocated
Rules
4 458×lower-/.f32
4 454×lower-/.f64
4 446×lower-fma.f64
4 446×lower-fma.f32
4 400×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02184
03684
116084
2125684
0829884
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 340
Calls
Call 1
Inputs
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(/.f64 (+.f64 m n) #s(literal 2 binary64))
(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 K (+.f64 m n))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))) (neg.f64 (sin.f64 M))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))) (neg.f64 (sin.f64 M))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))) (neg.f64 (sin.f64 M))) (*.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))) (neg.f64 (sin.f64 M)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))) (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))))))))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)) M)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)) M))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)) M))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)) M)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M))))) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M)) (-.f64 (pow.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))))) (+.f64 (pow.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))) #s(literal 3 binary64)))))
(fma.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M))) (cos.f64 (/.f64 (*.f64 M M) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M))) (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M))) (sin.f64 (/.f64 (*.f64 M M) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M)))))
(fma.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64)) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M))))) (cos.f64 (/.f64 (pow.f64 M #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64)) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64)) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M))))) (sin.f64 (/.f64 (pow.f64 M #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64)) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M)))))))
(fma.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)) M)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M))) #s(literal 1/2 binary64) (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))))
(fma.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)) M))) #s(literal 1/2 binary64) (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))))
(fma.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))) (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))) (sin.f64 M) (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))))
(fma.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64))) (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))))
(fma.f64 (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64))) (cos.f64 M) (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M))) (/.f64 (pow.f64 (*.f64 (sin.f64 M) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))) #s(literal 2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M))))
(-.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 (sin.f64 M)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))))
(-.f64 (*.f64 (cos.f64 M) (cos.f64 (*.f64 (*.f64 (+.f64 n m) K) #s(literal -1/2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))) (neg.f64 (sin.f64 M))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)) M))
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M))) (cos.f64 (/.f64 (*.f64 M M) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M)))) (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M))) (sin.f64 (/.f64 (*.f64 M M) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) M)))))
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(*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (pow.f64 (neg.f64 M) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 M) M))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))) (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (pow.f64 (neg.f64 M) #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (pow.f64 (neg.f64 M) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)))
(pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)) (-.f64 (*.f64 (*.f64 (neg.f64 M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)) (*.f64 (neg.f64 M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)) (*.f64 (neg.f64 M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (*.f64 #s(literal 1/2 binary64) (+.f64 n m))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (neg.f64 M)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (*.f64 #s(literal 1/2 binary64) (+.f64 n m))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (*.f64 #s(literal 1/2 binary64) (+.f64 n m))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (neg.f64 M)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (neg.f64 M))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (*.f64 #s(literal 1/2 binary64) (+.f64 n m))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (neg.f64 M))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 M) M)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (pow.f64 (neg.f64 M) #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M))) (neg.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 M) M)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (pow.f64 (neg.f64 M) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 M) M)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 M) M)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (pow.f64 (neg.f64 M) #s(literal 3 binary64))))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (pow.f64 (neg.f64 M) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 M) M)))) (neg.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))) (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (pow.f64 (neg.f64 M) #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 M) M)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)) (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (pow.f64 (neg.f64 M) #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 M) M))) (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (pow.f64 (neg.f64 M) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))))
(/.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 M) M)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 M) M)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (pow.f64 (neg.f64 M) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (pow.f64 (neg.f64 M) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 M) M))) (*.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))) (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))
(/.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (pow.f64 (neg.f64 M) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M) (*.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 M) M)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (pow.f64 (neg.f64 M) #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 M) M)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (pow.f64 (neg.f64 M) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 M) M)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)))) (*.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 M) M)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (pow.f64 (neg.f64 M) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))) (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (pow.f64 (neg.f64 M) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 M) M)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 M (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) M))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (pow.f64 (neg.f64 M) #s(literal 3 binary64))) #s(literal 2 binary64))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (neg.f64 M)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (*.f64 (neg.f64 M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)))
(exp.f64 (+.f64 (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)) (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M))))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)) (*.f64 (neg.f64 M) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M)))
(+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (*.f64 #s(literal 1/2 binary64) (+.f64 n m))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) (neg.f64 M)))

eval90.0ms (0.8%)

Memory
21.5MiB live, 167.8MiB allocated
Compiler

Compiled 30 654 to 2 578 computations (91.6% saved)

prune151.0ms (1.4%)

Memory
4.1MiB live, 167.2MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New62713640
Fresh000
Picked101
Done000
Total62813641
Accuracy
97.6%
Counts
641 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.8%
(/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) #s(literal 2 binary64)))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)) M))) (exp.f64 (-.f64 l (fabs.f64 (-.f64 n m)))))
30.2%
(*.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64))) K) (fma.f64 n (-.f64 n m) (*.f64 m m))) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
43.0%
(*.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 m n)) K) (-.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
49.4%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 #s(approx (pow (- (/ (+ m n) 2) M) 2) (*.f64 (*.f64 n n) #s(literal 1/4 binary64)))) (-.f64 l (fabs.f64 (-.f64 m n))))))
50.4%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 #s(approx (pow (- (/ (+ m n) 2) M) 2) (*.f64 M M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶41.3%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))))
44.0%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 m m) #s(literal -1/4 binary64)))))
45.9%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
▶33.6%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
▶73.9%
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
74.8%
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 m #s(literal -1/2 binary64)) K) (sin.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶94.2%
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
▶65.6%
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)))))
Compiler

Compiled 826 to 532 computations (35.6% saved)

simplify164.0ms (1.5%)

Memory
11.2MiB live, 176.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M)))
cost-diff0
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
cost-diff128
(-.f64 (neg.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-diff128
(fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))
cost-diff0
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)))
cost-diff0
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M))))
cost-diff0
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)))))
cost-diff128
(cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)))
cost-diff0
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
cost-diff0
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
cost-diff0
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
cost-diff0
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))))
cost-diff0
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
cost-diff0
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
cost-diff0
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
cost-diff0
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
cost-diff0
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))
cost-diff0
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
cost-diff0
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
cost-diff0
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
Rules
9 074×lower-fma.f32
9 066×lower-fma.f64
4 104×lower-*.f32
4 082×lower-*.f64
2 558×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074748
0126748
1217748
2435737
31406737
46155737
08118731
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))
(fabs.f64 (-.f64 m n))
(-.f64 m n)
m
n
(+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M))
#s(literal 1/2 binary64)
(+.f64 n m)
(neg.f64 M)
M
#s(literal 2 binary64)
l
(cos.f64 M)
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
(*.f64 K (+.f64 m n))
K
(+.f64 m n)
m
n
#s(literal 2 binary64)
M
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))))
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
(*.f64 K (+.f64 m n))
K
(+.f64 m n)
m
n
#s(literal 2 binary64)
M
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))
(*.f64 (*.f64 n n) #s(literal -1/4 binary64))
(*.f64 n n)
#s(literal -1/4 binary64)
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))
(fabs.f64 (-.f64 m n))
(-.f64 m n)
m
n
(+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)
(pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))
#s(literal 1/2 binary64)
(neg.f64 M)
M
#s(literal 2 binary64)
l
(cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M))
(*.f64 #s(literal 1/2 binary64) K)
K
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M)))
(fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))
(*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K)
(*.f64 (+.f64 n m) #s(literal -1/2 binary64))
(+.f64 n m)
n
m
#s(literal -1/2 binary64)
K
(neg.f64 (sin.f64 M))
(sin.f64 M)
M
(cos.f64 M)
(exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))
(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))
(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)
(/.f64 (+.f64 m n) #s(literal 2 binary64))
(+.f64 m n)
#s(literal 2 binary64)
(-.f64 l (fabs.f64 (-.f64 m n)))
l
(fabs.f64 (-.f64 m n))
(-.f64 m n)
Outputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 n m) M)) #s(literal 2 binary64)) l)))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 n m) M)) #s(literal 2 binary64)) l))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 n m) M)) #s(literal 2 binary64)) l)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 n m) M)) #s(literal 2 binary64)) l))
(fabs.f64 (-.f64 m n))
(fabs.f64 (-.f64 n m))
(-.f64 m n)
m
n
(+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)
(+.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 n m) M)) #s(literal 2 binary64)) l)
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 n m) M)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M))
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 n m) M))
#s(literal 1/2 binary64)
(+.f64 n m)
(neg.f64 M)
M
#s(literal 2 binary64)
l
(cos.f64 M)
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) (cos.f64 (-.f64 M (/.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64)))))
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(cos.f64 (-.f64 M (/.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
(-.f64 (/.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64)) 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 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))))
(*.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 #s(literal -1/4 binary64) (*.f64 n n)))) (cos.f64 (-.f64 M (/.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64)))))
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(cos.f64 (-.f64 M (/.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
(-.f64 (/.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64)) 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 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))))
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 #s(literal -1/4 binary64) (*.f64 n n))))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 #s(literal -1/4 binary64) (*.f64 n n)))
(*.f64 (*.f64 n n) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 n n))
(*.f64 n n)
#s(literal -1/4 binary64)
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (cos.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) n) K M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M))))
(*.f64 (cos.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) n) K M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))
(fabs.f64 (-.f64 m n))
(fabs.f64 (-.f64 n m))
(-.f64 m n)
m
n
(+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)
(pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))
#s(literal 1/2 binary64)
(neg.f64 M)
M
#s(literal 2 binary64)
l
(cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) n) K M))
(fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M))
(*.f64 #s(literal 1/2 binary64) K)
K
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l)) #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (sin.f64 M) #s(literal 1/2 binary64)) (*.f64 (+.f64 n m) K) (cos.f64 M))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M)))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (sin.f64 M) #s(literal 1/2 binary64)) (*.f64 (+.f64 n m) K) (cos.f64 M)))
(fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))
(fma.f64 (*.f64 (sin.f64 M) #s(literal 1/2 binary64)) (*.f64 (+.f64 n m) K) (cos.f64 M))
(*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K)
(*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 n m)) K)
(*.f64 (+.f64 n m) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (+.f64 n m))
(+.f64 n m)
n
m
#s(literal -1/2 binary64)
K
(neg.f64 (sin.f64 M))
(sin.f64 M)
M
(cos.f64 M)
(exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l))
(-.f64 (neg.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 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l)
(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) #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))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)
(-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M)
(/.f64 (+.f64 m n) #s(literal 2 binary64))
(/.f64 (+.f64 n m) #s(literal 2 binary64))
(+.f64 m n)
(+.f64 n m)
#s(literal 2 binary64)
(-.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)

localize315.0ms (2.9%)

Memory
7.2MiB live, 554.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
accuracy0.0078125
(*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K)
accuracy4.077911202430865
(fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))
accuracy43.16160291656602
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M)))
accuracy0.0078125
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))
accuracy0.01171875
(pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64))
accuracy13.87694249615474
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)))))
accuracy29.95012988020965
(cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)))
accuracy0.0078125
(*.f64 K (+.f64 m n))
accuracy0.20659013656165237
(*.f64 (*.f64 n n) #s(literal -1/4 binary64))
accuracy41.42527259081152
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
accuracy42.44668920104528
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))
accuracy0.0078125
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
accuracy0.0078125
(*.f64 K (+.f64 m n))
accuracy41.42527259081152
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
accuracy54.43148814673721
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
accuracy0
(cos.f64 M)
accuracy0.00390625
(+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)
accuracy0.0078125
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64))
accuracy3.7237043793460454
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
Samples
202.0ms211×1valid
29.0ms45×0valid
Compiler

Compiled 665 to 56 computations (91.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-mult: 29.0ms (17.7% of total)
ival-cos: 28.0ms (17.1% of total)
adjust: 22.0ms (13.4% of total)
ival-sub: 20.0ms (12.2% of total)
ival-add: 20.0ms (12.2% of total)
ival-pow2: 15.0ms (9.2% of total)
ival-sin: 8.0ms (4.9% of total)
ival-div: 6.0ms (3.7% of total)
ival-exp: 5.0ms (3.1% of total)
ival-neg: 5.0ms (3.1% of total)
ival-fabs: 4.0ms (2.4% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series147.0ms (1.3%)

Memory
-10.8MiB live, 297.5MiB allocated
Counts
28 → 1 248
Calls
Call 1
Inputs
#s(alt #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))) (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))) #<representation binary64>) () ())
#s(alt (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)) (patch (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)) #<representation binary64>) () ())
#s(alt (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (patch (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) #<representation binary64>) () ())
#s(alt (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)) (patch (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) (patch (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())
#s(alt (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (patch (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) (patch (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) (patch (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))))) (patch (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))))) #<representation binary64>) () ())
#s(alt (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M))) (patch (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M))) #<representation binary64>) () ())
#s(alt #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M))))) (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M))))) #<representation binary64>) () ())
#s(alt (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)))) (patch (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)))) #<representation binary64>) () ())
#s(alt (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (patch (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M)) (patch (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M)) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))) (patch (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())
#s(alt #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l) (patch (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l) #<representation binary64>) () ())
#s(alt (cos.f64 M) (patch (cos.f64 M) #<representation binary64>) () ())
#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())
#s(alt (*.f64 K (+.f64 m n)) (patch (*.f64 K (+.f64 m n)) #<representation binary64>) () ())
#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 n n) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 n n) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) (patch (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (patch (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) #<representation binary64>) () ())
#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>) () ())
Outputs
#s(alt (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))) (taylor 0 K) (#s(alt #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))) (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))) (taylor 0 K) (#s(alt #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))) (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))) #<representation binary64>) () ())) ())
#s(alt (+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))) (taylor 0 K) (#s(alt #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))) (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))) #<representation binary64>) () ())) ())
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#s(alt (* (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)) (taylor -inf m) (#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 (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))) (taylor -inf m) (#s(alt (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))) (taylor -inf m) (#s(alt (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))) (taylor -inf m) (#s(alt (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))) (taylor -inf m) (#s(alt (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (taylor -inf m) (#s(alt #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (taylor -inf m) (#s(alt #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (taylor -inf m) (#s(alt #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) #<representation binary64>) () ())) ())
#s(alt (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (taylor -inf m) (#s(alt #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow m 2)) (taylor -inf m) (#s(alt (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 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 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 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 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 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 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) (patch (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (pow m 2)) (taylor -inf m) (#s(alt (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l) (patch (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m))) (taylor -inf m) (#s(alt (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l) (patch (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (+ l (pow (- (* 1/2 n) M) 2)) m))) m)))) (taylor -inf m) (#s(alt (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l) (patch (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (+ l (pow (- (* 1/2 n) M) 2)) m))) m)))) (taylor -inf m) (#s(alt (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l) (patch (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow m 2)) (taylor -inf m) (#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4)) (taylor -inf m) (#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* (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)) (taylor -inf m) (#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* (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)) (taylor -inf m) (#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* 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 (* -1/4 (pow m 2)) (taylor -inf m) (#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4)) (taylor -inf m) (#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (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)) (taylor -inf m) (#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (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)) (taylor -inf m) (#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) (taylor -inf m) (#s(alt (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) (patch (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) #<representation binary64>) () ())) ())
#s(alt (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) (taylor -inf m) (#s(alt (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) (patch (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) #<representation binary64>) () ())) ())
#s(alt (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) (taylor -inf m) (#s(alt (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) (patch (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) #<representation binary64>) () ())) ())
#s(alt (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) (taylor -inf m) (#s(alt (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) (patch (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* K m)) (taylor -inf m) (#s(alt (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (patch (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (+ (* 1/2 K) (* 1/2 (/ (* K n) m))))) (taylor -inf m) (#s(alt (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (patch (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (+ (* 1/2 K) (* 1/2 (/ (* K n) m))))) (taylor -inf m) (#s(alt (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (patch (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) #<representation binary64>) () ())) ())
#s(alt (* -1 (* m (+ (* 1/2 K) (* 1/2 (/ (* K n) m))))) (taylor -inf m) (#s(alt (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (patch (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) #<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>) () ())) ())
Calls

15 calls:

TimeVariablePointExpression
10.0ms
n
@inf
((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (/ (* K (+ m n)) 2) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (+ (* (* 1/2 K) n) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (cos (+ (* (* 1/2 K) n) (neg M)))) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l) (cos M) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* K (+ m n)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (* n n) -1/4) (pow (+ (* 1/2 n) (neg M)) 2) (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l)) (* (* (+ n m) -1/2) K) (pow (- (/ (+ m n) 2) M) 2))
10.0ms
m
@inf
((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (/ (* K (+ m n)) 2) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (+ (* (* 1/2 K) n) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (cos (+ (* (* 1/2 K) n) (neg M)))) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l) (cos M) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* K (+ m n)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (* n n) -1/4) (pow (+ (* 1/2 n) (neg M)) 2) (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l)) (* (* (+ n m) -1/2) K) (pow (- (/ (+ m n) 2) M) 2))
8.0ms
n
@-inf
((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (/ (* K (+ m n)) 2) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (+ (* (* 1/2 K) n) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (cos (+ (* (* 1/2 K) n) (neg M)))) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l) (cos M) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* K (+ m n)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (* n n) -1/4) (pow (+ (* 1/2 n) (neg M)) 2) (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l)) (* (* (+ n m) -1/2) K) (pow (- (/ (+ m n) 2) M) 2))
6.0ms
K
@inf
((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (/ (* K (+ m n)) 2) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (+ (* (* 1/2 K) n) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (cos (+ (* (* 1/2 K) n) (neg M)))) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l) (cos M) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* K (+ m n)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (* n n) -1/4) (pow (+ (* 1/2 n) (neg M)) 2) (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l)) (* (* (+ n m) -1/2) K) (pow (- (/ (+ m n) 2) M) 2))
6.0ms
M
@0
((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (/ (* K (+ m n)) 2) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (+ (* (* 1/2 K) n) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (cos (+ (* (* 1/2 K) n) (neg M)))) (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l))) (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (pow (+ (* 1/2 (+ n m)) (neg M)) 2) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l) (cos M) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* K (+ m n)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (* n n) -1/4) (pow (+ (* 1/2 n) (neg M)) 2) (- (fabs (- m n)) (+ (pow (+ (* 1/2 n) (neg M)) 2) l)) (* (* (+ n m) -1/2) K) (pow (- (/ (+ m n) 2) M) 2))

simplify279.0ms (2.6%)

Memory
-1.1MiB live, 413.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 350×lower-fma.f64
8 350×lower-fma.f32
6 730×lower-*.f64
6 730×lower-*.f32
6 402×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119735410
1390434047
0814932711
Stop Event
1×iter limit
1×node limit
Counts
1 248 → 1 246
Calls
Call 1
Inputs
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(* -1 M)
(- (* 1/2 (* K (+ m n))) M)
(- (* 1/2 (* K (+ m n))) M)
(- (* 1/2 (* K (+ m n))) M)
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* n (sin (neg M))))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (pow n 2) (cos (neg M))))) (* 1/2 (* n (sin (neg M)))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (pow n 2) (cos (neg M)))) (* 1/48 (* K (* (pow n 3) (sin (neg M))))))) (* 1/2 (* n (sin (neg M)))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
(+ (* -1/2 (* K (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (neg M)))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))
(+ (* K (+ (* -1/2 (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (neg M))))) (* -1/8 (* K (* (pow n 2) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))
(+ (* K (+ (* -1/2 (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (neg M))))) (* K (+ (* -1/8 (* (pow n 2) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))) (* 1/48 (* K (* (pow n 3) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (neg M)))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))
(cos M)
(+ (cos M) (* 1/2 (* K (* (sin M) (+ m n)))))
(+ (cos M) (* 1/2 (* K (* (sin M) (+ m n)))))
(+ (cos M) (* 1/2 (* K (* (sin M) (+ m n)))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(cos (neg M))
(+ (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))))))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* -1/2 (* K (+ m n)))
(* -1/2 (* K (+ m n)))
(* -1/2 (* K (+ m n)))
(* -1/2 (* K (+ m n)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* 1/2 (* K (+ m n)))
(* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))
(* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))
(* K (+ (* -1 (/ M K)) (* 1/2 (+ m n))))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(cos (- (* 1/2 (* K n)) M))
(cos (- (* 1/2 (* K n)) M))
(cos (- (* 1/2 (* K n)) M))
(cos (- (* 1/2 (* K n)) M))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
(* 1/2 (* K (* (sin M) (+ m n))))
(* K (+ (* 1/2 (* (sin M) (+ m n))) (/ (cos M) K)))
(* K (+ (* 1/2 (* (sin M) (+ m n))) (/ (cos M) K)))
(* K (+ (* 1/2 (* (sin M) (+ m n))) (/ (cos M) K)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* -1/2 (* K (+ m n)))
(* -1/2 (* K (+ m n)))
(* -1/2 (* K (+ m n)))
(* -1/2 (* K (+ m n)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (+ l (pow (- (* 1/2 n) M) 2)) m))) m))))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (+ l (pow (- (* 1/2 n) M) 2)) m))) m))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* K m)
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(* -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 (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2)))
(- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2)))
(- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2)))
(- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2)))
(* -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)))))
(* 1/4 (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))))
Outputs
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (*.f64 K #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (cos.f64 M) (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 M)) (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (*.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (*.f64 K #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (cos.f64 M) (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 M)) (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (*.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(cos (neg M))
(cos.f64 M)
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(fma.f64 (*.f64 K #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (cos.f64 M))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (cos.f64 M) (pow.f64 (+.f64 n m) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64))) K (cos.f64 M))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (*.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 M)) (pow.f64 (+.f64 n m) #s(literal 2 binary64)))) K (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64))) K (cos.f64 M))
(* -1 M)
(neg.f64 M)
(- (* 1/2 (* K (+ m n))) M)
(fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))
(- (* 1/2 (* K (+ m n))) M)
(fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))
(- (* 1/2 (* K (+ m n))) M)
(fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))
(* 1/2 (* K (+ m n)))
(*.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64))
(* 1/2 (* K (+ m n)))
(*.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64))
(* 1/2 (* K (+ m n)))
(*.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64))
(* 1/2 (* K (+ m n)))
(*.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (*.f64 K #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (cos.f64 M) (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 M)) (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (*.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(cos (neg M))
(cos.f64 M)
(+ (cos (neg M)) (* -1/2 (* K (* n (sin (neg M))))))
(fma.f64 (*.f64 K #s(literal -1/2 binary64)) (neg.f64 (*.f64 (sin.f64 M) n)) (cos.f64 M))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (pow n 2) (cos (neg M))))) (* 1/2 (* n (sin (neg M)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (cos.f64 M) (*.f64 n n)) (*.f64 (*.f64 #s(literal -1/2 binary64) n) (neg.f64 (sin.f64 M)))) K (cos.f64 M))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (pow n 2) (cos (neg M)))) (* 1/48 (* K (* (pow n 3) (sin (neg M))))))) (* 1/2 (* n (sin (neg M)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (pow.f64 n #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 n n)) (cos.f64 M))) K (*.f64 (*.f64 #s(literal -1/2 binary64) n) (neg.f64 (sin.f64 M)))) K (cos.f64 M))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (*.f64 K #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (cos.f64 M) (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 M)) (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (*.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
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(+ (* -1/2 (* K (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (neg M)))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))
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(+ (* K (+ (* -1/2 (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (neg M))))) (* -1/8 (* K (* (pow n 2) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))
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(+ (* K (+ (* -1/2 (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (neg M))))) (* K (+ (* -1/8 (* (pow n 2) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))) (* 1/48 (* K (* (pow n 3) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (neg M)))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))
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(cos M)
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(+ (cos M) (* 1/2 (* K (* (sin M) (+ m n)))))
(fma.f64 (*.f64 K #s(literal 1/2 binary64)) (*.f64 (sin.f64 M) (+.f64 n m)) (cos.f64 M))
(+ (cos M) (* 1/2 (* K (* (sin M) (+ m n)))))
(fma.f64 (*.f64 K #s(literal 1/2 binary64)) (*.f64 (sin.f64 M) (+.f64 n m)) (cos.f64 M))
(+ (cos M) (* 1/2 (* K (* (sin M) (+ m n)))))
(fma.f64 (*.f64 K #s(literal 1/2 binary64)) (*.f64 (sin.f64 M) (+.f64 n m)) (cos.f64 M))
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(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (*.f64 K #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
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(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 M)) (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (*.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(cos (neg M))
(cos.f64 M)
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(fma.f64 (*.f64 K #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (cos.f64 M))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (cos.f64 M) (pow.f64 (+.f64 n m) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64))) K (cos.f64 M))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
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(* K (+ m n))
(*.f64 K (+.f64 n m))
(* K (+ m n))
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(* K (+ m n))
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(* K (+ m n))
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(* -1/2 (* K (+ m n)))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* (sin (- (* 1/2 (* K m)) M)) (- M (* 1/2 m)))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4)))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))
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(+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* (sin (- (* 1/2 (* K m)) M)) (- M (* 1/2 m)))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))) (+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* (sin (- (* 1/2 (* K m)) M)) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m)))))) (+ (* 1/48 (* (pow K 3) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (+ (* -1/4 (- M (* 1/2 m))) (* 1/6 (pow (- M (* 1/2 m)) 3))))))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4))))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))
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(* (cos M) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))))
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(+ (* n (* (cos M) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))) (* (cos M) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))
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(+ (* n (+ (* n (* (cos M) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4)))) (* (cos M) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m)))))) (* (cos M) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))
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(+ (* n (+ (* n (+ (* n (* (cos M) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (+ (* -1/4 (- M (* 1/2 m))) (* 1/6 (pow (- M (* 1/2 m)) 3)))))) (* (cos M) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4))))) (* (cos M) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m)))))) (* (cos M) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l)))
(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m)))))
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(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* n (+ (* n (+ (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (+ (* -1/4 (- M (* 1/2 m))) (* 1/6 (pow (- M (* 1/2 m)) 3))))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4)))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))
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(- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l))
(- (+ (fabs (- m n)) (* n (- M (* 1/2 m)))) (+ l (pow (- (* 1/2 m) M) 2)))
(-.f64 (fma.f64 (-.f64 M (*.f64 #s(literal 1/2 binary64) m)) n (fabs.f64 (-.f64 m n))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l))
(- (+ (fabs (- m n)) (* n (- (+ M (* -1/4 n)) (* 1/2 m)))) (+ l (pow (- (* 1/2 m) M) 2)))
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(- (+ (fabs (- m n)) (* n (- (+ M (* -1/4 n)) (* 1/2 m)))) (+ l (pow (- (* 1/2 m) M) 2)))
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(* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))))
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(cos (neg M))
(cos.f64 M)
(+ (cos (neg M)) (* -1/2 (* K (* n (sin (neg M))))))
(fma.f64 (*.f64 K #s(literal -1/2 binary64)) (neg.f64 (*.f64 (sin.f64 M) n)) (cos.f64 M))
(+ (cos (neg M)) (* n (- (* -1/8 (* (pow K 2) (* n (cos (neg M))))) (* 1/2 (* K (sin (neg M)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) (*.f64 (cos.f64 M) n) (*.f64 (neg.f64 (*.f64 (sin.f64 M) K)) #s(literal -1/2 binary64))) n (cos.f64 M))
(+ (cos (neg M)) (* n (- (* n (+ (* -1/8 (* (pow K 2) (cos (neg M)))) (* 1/48 (* (pow K 3) (* n (sin (neg M))))))) (* 1/2 (* K (sin (neg M)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 K #s(literal 3 binary64))) (neg.f64 (*.f64 (sin.f64 M) n)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) (cos.f64 M))) n (*.f64 (neg.f64 (*.f64 (sin.f64 M) K)) #s(literal -1/2 binary64))) n (cos.f64 M))
(* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 K m) #s(literal 1/2 binary64) (neg.f64 M))))
(+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m)))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))
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(+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* (sin (- (* 1/2 (* K m)) M)) (- M (* 1/2 m)))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4)))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))
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(+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* (sin (- (* 1/2 (* K m)) M)) (- M (* 1/2 m)))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))) (+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* (sin (- (* 1/2 (* K m)) M)) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m)))))) (+ (* 1/48 (* (pow K 3) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (+ (* -1/4 (- M (* 1/2 m))) (* 1/6 (pow (- M (* 1/2 m)) 3))))))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4))))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))
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(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow M 2)))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l))) (cos.f64 M))
(+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow M 2)))) (sin (neg M))))) (* M (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow M 2)))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow M 2))))))
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(cos (- (* 1/2 (* K n)) M))
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(+ (cos (- (* 1/2 (* K n)) M)) (* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M))))))
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(- (* 1/2 (* K n)) M)
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(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
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(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
(fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))
(- (+ (* 1/2 (* K m)) (* 1/2 (* K n))) M)
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(* 1/2 (* K n))
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(+ (* 1/2 (* K m)) (* 1/2 (* K n)))
(*.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64))
(+ (* 1/2 (* K m)) (* 1/2 (* K n)))
(*.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64))
(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
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(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
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(+ (* m (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (- (* 1/2 (* K n)) M))))) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n)))))) (* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))
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(+ (* m (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (- (* 1/2 (* K n)) M))))) (+ (* m (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (* (sin (- (* 1/2 (* K n)) M)) (- M (* 1/2 n)))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 n)) 2)) 1/4)))))) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n))))))) (* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))
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(+ (* m (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (- (* 1/2 (* K n)) M))))) (+ (* m (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (* (sin (- (* 1/2 (* K n)) M)) (- M (* 1/2 n)))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))) (+ (* m (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (* (sin (- (* 1/2 (* K n)) M)) (- (* 1/2 (pow (- M (* 1/2 n)) 2)) 1/4))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n)))))) (+ (* 1/48 (* (pow K 3) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (sin (- (* 1/2 (* K n)) M))))) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (+ (* -1/4 (- M (* 1/2 n))) (* 1/6 (pow (- M (* 1/2 n)) 3))))))))) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 n)) 2)) 1/4))))))) (* (cos (- (* 1/2 (* K n)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n))))))) (* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))))
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(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
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(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
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(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
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(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l)))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l)))
(+ (cos M) (* 1/2 (* K (* n (sin M)))))
(fma.f64 (*.f64 (*.f64 (sin.f64 M) n) K) #s(literal 1/2 binary64) (cos.f64 M))
(+ (cos M) (+ (* 1/2 (* K (* m (sin M)))) (* 1/2 (* K (* n (sin M))))))
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(+ (cos M) (+ (* 1/2 (* K (* m (sin M)))) (* 1/2 (* K (* n (sin M))))))
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(+ (cos M) (+ (* 1/2 (* K (* m (sin M)))) (* 1/2 (* K (* n (sin M))))))
(fma.f64 (*.f64 K #s(literal 1/2 binary64)) (*.f64 (sin.f64 M) (+.f64 n m)) (cos.f64 M))
(- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l))
(- (+ (fabs (- m n)) (* m (- M (* 1/2 n)))) (+ l (pow (- (* 1/2 n) M) 2)))
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(+ (* K m) (* K n))
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(*.f64 (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l))))
(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l)))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l)))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l)))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l)))
(* 1/2 (* K (* m (sin M))))
(*.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64))
(* -1 (* m (+ (* -1 (/ (+ (cos M) (* 1/2 (* K (* n (sin M))))) m)) (* -1/2 (* K (sin M))))))
(*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) n) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 m))) (neg.f64 m))
(* -1 (* m (+ (* -1 (/ (+ (cos M) (* 1/2 (* K (* n (sin M))))) m)) (* -1/2 (* K (sin M))))))
(*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) n) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 m))) (neg.f64 m))
(* -1 (* m (+ (* -1 (/ (+ (cos M) (* 1/2 (* K (* n (sin M))))) m)) (* -1/2 (* K (sin M))))))
(*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) n) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 m))) (neg.f64 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 (fma.f64 #s(literal -1/2 binary64) n M) m) #s(literal 1/4 binary64)) (*.f64 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 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l)) (neg.f64 m)) (fma.f64 #s(literal -1/2 binary64) n M)) (neg.f64 m)) #s(literal 1/4 binary64)) (*.f64 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 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l)) (neg.f64 m)) (fma.f64 #s(literal -1/2 binary64) n M)) (neg.f64 m)) #s(literal 1/4 binary64)) (*.f64 m m))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M)))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M)))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M)))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M)))
(* 1/4 (pow m 2))
(*.f64 (*.f64 m m) #s(literal 1/4 binary64))
(* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m)) (*.f64 m m))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) n M) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) m)) m)) (*.f64 m m))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) n M) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) m)) m)) (*.f64 m m))
(* 1/4 (pow m 2))
(*.f64 (*.f64 m m) #s(literal 1/4 binary64))
(* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m)) (*.f64 m m))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (+ l (pow (- (* 1/2 n) M) 2)) m))) m))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) n M) (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l) m)) m)) (*.f64 m m))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (+ l (pow (- (* 1/2 n) M) 2)) m))) m))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) n M) (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l) m)) m)) (*.f64 m m))
(* -1/4 (pow m 2))
(*.f64 (*.f64 m m) #s(literal -1/4 binary64))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) n M) m) #s(literal 1/4 binary64)) (*.f64 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 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l)) (neg.f64 m)) (fma.f64 #s(literal -1/2 binary64) n M)) (neg.f64 m)) #s(literal 1/4 binary64)) (*.f64 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 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l)) (neg.f64 m)) (fma.f64 #s(literal -1/2 binary64) n M)) (neg.f64 m)) #s(literal 1/4 binary64)) (*.f64 m m))
(* K m)
(*.f64 K m)
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(*.f64 (neg.f64 (fma.f64 K (/.f64 n m) K)) (neg.f64 m))
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(*.f64 (neg.f64 (fma.f64 K (/.f64 n m) K)) (neg.f64 m))
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(*.f64 (neg.f64 (fma.f64 K (/.f64 n m) K)) (neg.f64 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 (fma.f64 #s(literal -1/2 binary64) n M) m) #s(literal 1/4 binary64)) (*.f64 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 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l)) (neg.f64 m)) (fma.f64 #s(literal -1/2 binary64) n M)) (neg.f64 m)) #s(literal 1/4 binary64)) (*.f64 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 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l)) (neg.f64 m)) (fma.f64 #s(literal -1/2 binary64) n M)) (neg.f64 m)) #s(literal 1/4 binary64)) (*.f64 m m))
(- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l))
(- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l))
(- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l))
(- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) n M) #s(literal 2 binary64)) l))
(* -1/2 (* K m))
(*.f64 (*.f64 K #s(literal -1/2 binary64)) m)
(* -1 (* m (+ (* 1/2 K) (* 1/2 (/ (* K n) m)))))
(*.f64 (neg.f64 m) (*.f64 #s(literal 1/2 binary64) (fma.f64 K (/.f64 n m) K)))
(* -1 (* m (+ (* 1/2 K) (* 1/2 (/ (* K n) m)))))
(*.f64 (neg.f64 m) (*.f64 #s(literal 1/2 binary64) (fma.f64 K (/.f64 n m) K)))
(* -1 (* m (+ (* 1/2 K) (* 1/2 (/ (* K n) m)))))
(*.f64 (neg.f64 m) (*.f64 #s(literal 1/2 binary64) (fma.f64 K (/.f64 n m) K)))
(* 1/4 (pow m 2))
(*.f64 (*.f64 m m) #s(literal 1/4 binary64))
(* (pow m 2) (- (+ 1/4 (* 1/2 (/ n m))) (/ M m)))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m)) (*.f64 m m))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) n M) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) m)) m)) (*.f64 m m))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/2 n) M)) (* -1 (/ (pow (- (* 1/2 n) M) 2) m))) m))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) n M) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) m)) m)) (*.f64 m m))

rewrite241.0ms (2.2%)

Memory
11.9MiB live, 322.6MiB allocated
Rules
7 018×lower-*.f32
6 996×lower-*.f64
5 698×lower-fma.f32
5 690×lower-fma.f64
3 630×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074506
0126505
1424498
23141498
010489498
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 636
Calls
Call 1
Inputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))))
(cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)))
(fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))
(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M)))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64))
(+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l)
(cos.f64 M)
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(*.f64 K (+.f64 m n))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))
(*.f64 (*.f64 n n) #s(literal -1/4 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))
(*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K)
(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
Outputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)))) (cos.f64 M)))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (exp.f64 (fabs.f64 (-.f64 n m))) (cos.f64 M)) (exp.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))
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eval267.0ms (2.4%)

Memory
21.8MiB live, 480.6MiB allocated
Compiler

Compiled 82 736 to 4 060 computations (95.1% saved)

prune359.0ms (3.3%)

Memory
-13.7MiB live, 410.2MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New2 189132 202
Fresh808
Picked505
Done000
Total2 202132 215
Accuracy
97.6%
Counts
2 215 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶23.6%
(*.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
16.4%
(*.f64 (cos.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 n m) K))) #s(literal -1 binary64))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
35.7%
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
36.4%
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K m) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
▶32.9%
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
▶55.1%
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))))
▶40.1%
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
60.6%
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) M) K) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
70.7%
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
65.6%
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l) (fabs.f64 (-.f64 n m))))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)))))
57.8%
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (*.f64 m m) #s(literal -1/4 binary64)))) (cos.f64 M)))
57.0%
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))) (cos.f64 M)))
▶88.1%
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)))))
Compiler

Compiled 632 to 410 computations (35.1% saved)

simplify184.0ms (1.7%)

Memory
-15.5MiB live, 143.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))
cost-diff0
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))))
cost-diff0
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
cost-diff128
(cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))
cost-diff0
(cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M))
cost-diff0
(*.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
cost-diff704
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64))
cost-diff1088
(/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m))
cost-diff0
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))))
cost-diff0
(cos.f64 M)
cost-diff0
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
cost-diff0
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))))
cost-diff0
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
cost-diff0
(cos.f64 M)
cost-diff0
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
cost-diff0
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
cost-diff0
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))
cost-diff0
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)))
cost-diff0
#s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))))
cost-diff0
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)))))
Rules
8 034×lower-fma.f32
8 028×lower-fma.f64
4 588×lower-*.f32
4 566×lower-*.f64
2 586×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073740
0109738
1198738
2443725
31390687
45865687
08251683
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)))))
#s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))
(fabs.f64 (-.f64 m n))
(-.f64 m n)
m
n
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)
#s(literal 1/4 binary64)
(pow.f64 (+.f64 n m) #s(literal 2 binary64))
(+.f64 n m)
#s(literal 2 binary64)
l
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
(cos.f64 M)
M
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
(cos.f64 M)
M
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))
(*.f64 (*.f64 n n) #s(literal -1/4 binary64))
(*.f64 n n)
n
#s(literal -1/4 binary64)
(*.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M)
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m))
(*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K)
(*.f64 (+.f64 n m) (-.f64 n m))
(+.f64 n m)
n
m
(-.f64 n m)
K
#s(literal 2 binary64)
M
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))))
(fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))
(*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))
(*.f64 K m)
K
m
(sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))
(fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))
(*.f64 K n)
n
#s(literal 1/2 binary64)
(neg.f64 M)
M
#s(literal -1/2 binary64)
(cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
Outputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) l)))))
#s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))))
#s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) l))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) l)))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) l))
(fabs.f64 (-.f64 m n))
(fabs.f64 (-.f64 n m))
(-.f64 m n)
m
n
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)
(fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) l)
#s(literal 1/4 binary64)
(pow.f64 (+.f64 n m) #s(literal 2 binary64))
(+.f64 n m)
#s(literal 2 binary64)
l
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
(cos.f64 M)
M
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))))
(*.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 #s(literal -1/4 binary64) (*.f64 n n)))) #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
(cos.f64 M)
M
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))))
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 #s(literal -1/4 binary64) (*.f64 n n))))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 #s(literal -1/4 binary64) (*.f64 n n)))
(*.f64 (*.f64 n n) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 n n))
(*.f64 n n)
n
#s(literal -1/4 binary64)
(*.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (cos.f64 (+.f64 M (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 n m)) K))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M))
(cos.f64 (+.f64 M (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 n m)) K)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M)
(fma.f64 (*.f64 #s(literal 1/2 binary64) K) (+.f64 n m) (neg.f64 M))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) K) (+.f64 n m))
(/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 n m)) K)
(*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K)
(*.f64 (*.f64 (-.f64 n m) K) (+.f64 n m))
(*.f64 (+.f64 n m) (-.f64 n m))
(*.f64 (-.f64 n m) (+.f64 n m))
(+.f64 n m)
n
m
(-.f64 n m)
K
#s(literal 2 binary64)
M
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n K) M)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n K) M))))
(fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) K) m) (sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n K) M)))
(*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))
(*.f64 (sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))) (*.f64 m K))
(*.f64 K m)
(*.f64 m K)
K
m
(sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))
(sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
(fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))
(fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))
(*.f64 K n)
(*.f64 n K)
n
#s(literal 1/2 binary64)
(neg.f64 M)
M
#s(literal -1/2 binary64)
(cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n K) M))
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l

localize370.0ms (3.4%)

Memory
-6.2MiB live, 228.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy29.78722479021275
(sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))
accuracy29.95012988020965
(cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))
accuracy32.45551869329683
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))))
accuracy54.43148814673721
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
accuracy8.510209501183537
(*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K)
accuracy15.566581721951973
(/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m))
accuracy41.42527259081152
(cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M))
accuracy54.43148814673721
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
accuracy0
(cos.f64 M)
accuracy0.20659013656165237
(*.f64 (*.f64 n n) #s(literal -1/4 binary64))
accuracy40.609711814961514
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
accuracy42.44668920104528
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))
accuracy0
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
accuracy0
(cos.f64 M)
accuracy40.609711814961514
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
accuracy54.43148814673721
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
accuracy0.00390625
(pow.f64 (+.f64 n m) #s(literal 2 binary64))
accuracy0.0078125
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)
accuracy3.7237043793460454
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)))))
accuracy3.89836592429626
#s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))))
Samples
232.0ms211×1valid
17.0ms45×0valid
Compiler

Compiled 597 to 62 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 198.0ms
ival-cos: 46.0ms (23.2% of total)
ival-pow2: 34.0ms (17.2% of total)
ival-mult: 31.0ms (15.7% of total)
adjust: 24.0ms (12.1% of total)
ival-sub: 16.0ms (8.1% of total)
ival-add: 12.0ms (6.1% of total)
ival-sin: 12.0ms (6.1% of total)
ival-div: 11.0ms (5.6% of total)
ival-exp: 5.0ms (2.5% of total)
ival-neg: 4.0ms (2% of total)
ival-fabs: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series212.0ms (1.9%)

Memory
24.7MiB live, 177.9MiB allocated
Counts
25 → 1 068
Calls
Call 1
Inputs
#s(alt #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))))) (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)))) (patch #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)))) #<representation binary64>) () ())
#s(alt (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))) (patch (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))) #<representation binary64>) () ())
#s(alt (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)) (patch (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) (patch (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())
#s(alt #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) #<representation binary64>) () ())
#s(alt (cos.f64 M) (patch (cos.f64 M) #<representation binary64>) () ())
#s(alt (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) (patch (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))))) (patch (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))))) #<representation binary64>) () ())
#s(alt (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))) (patch (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) (patch (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) (patch (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) (patch (*.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())
#s(alt (cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M)) (patch (cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M)) #<representation binary64>) () ())
#s(alt (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))) (patch (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) (patch (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())
#s(alt #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) (patch (fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l) (patch (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())
#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 n n) #s(literal -1/4 binary64)) (patch (*.f64 (*.f64 n n) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (patch (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) #<representation binary64>) () ())
#s(alt (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))) (patch (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))) #<representation binary64>) () ())
Outputs
#s(alt (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))) (taylor 0 K) (#s(alt #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))))) (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))) (taylor 0 K) (#s(alt #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))))) (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ l (* 1/4 (pow n 2))) m)) (* -1/2 n)) m)))) (taylor -inf m) (#s(alt (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l) (patch (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (pow m 2) (taylor -inf m) (#s(alt (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (+ 1 (* 2 (/ n m)))) (taylor -inf m) (#s(alt (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (+ 1 (* -1 (/ (+ (* -2 n) (* -1 (/ (pow n 2) m))) m)))) (taylor -inf m) (#s(alt (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (+ 1 (* -1 (/ (+ (* -2 n) (* -1 (/ (pow n 2) m))) m)))) (taylor -inf m) (#s(alt (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow m 2)) (taylor -inf m) (#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4)) (taylor -inf m) (#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* (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)) (taylor -inf m) (#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* (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)) (taylor -inf m) (#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow m 2)) (taylor -inf m) (#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4)) (taylor -inf m) (#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (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)) (taylor -inf m) (#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (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)) (taylor -inf m) (#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* K (pow m 2))) (taylor -inf m) (#s(alt (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (patch (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (+ (* -1 K) (* -1 (/ (* K (+ n (* -1 n))) m)))) (taylor -inf m) (#s(alt (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (patch (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (+ (* -1 K) (* -1 (/ (+ (* -1 (/ (* K (pow n 2)) m)) (* K (+ n (* -1 n)))) m)))) (taylor -inf m) (#s(alt (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (patch (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) #<representation binary64>) () ())) ())
#s(alt (* (pow m 2) (+ (* -1 K) (* -1 (/ (+ (* -1 (/ (* K (pow n 2)) m)) (* K (+ n (* -1 n)))) m)))) (taylor -inf m) (#s(alt (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (patch (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) #<representation binary64>) () ())) ())
Calls

15 calls:

TimeVariablePointExpression
49.0ms
m
@-inf
((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l))) (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (cos M) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (/ (* (* (+ n m) (- n m)) K) (- n m)) (/ (/ (* (* (+ n m) (- n m)) K) (- n m)) 2) (* (cos (- (/ (/ (* (* (+ n m) (- n m)) K) (- n m)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (/ (* (* (+ n m) (- n m)) K) (- n m)) 2) M)) (cos (+ (* (* K n) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* K m) (sin (+ (* (* K n) 1/2) (neg M)))) -1/2) (cos (+ (* (* K n) 1/2) (neg M)))) (+ (* 1/4 (pow (+ n m) 2)) l) (pow (+ n m) 2) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (* n n) -1/4) (* (* (+ n m) (- n m)) K) (sin (+ (* (* K n) 1/2) (neg M))))
23.0ms
l
@inf
((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l))) (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (cos M) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (/ (* (* (+ n m) (- n m)) K) (- n m)) (/ (/ (* (* (+ n m) (- n m)) K) (- n m)) 2) (* (cos (- (/ (/ (* (* (+ n m) (- n m)) K) (- n m)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (/ (* (* (+ n m) (- n m)) K) (- n m)) 2) M)) (cos (+ (* (* K n) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* K m) (sin (+ (* (* K n) 1/2) (neg M)))) -1/2) (cos (+ (* (* K n) 1/2) (neg M)))) (+ (* 1/4 (pow (+ n m) 2)) l) (pow (+ n m) 2) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (* n n) -1/4) (* (* (+ n m) (- n m)) K) (sin (+ (* (* K n) 1/2) (neg M))))
3.0ms
n
@0
((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l))) (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (cos M) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (/ (* (* (+ n m) (- n m)) K) (- n m)) (/ (/ (* (* (+ n m) (- n m)) K) (- n m)) 2) (* (cos (- (/ (/ (* (* (+ n m) (- n m)) K) (- n m)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (/ (* (* (+ n m) (- n m)) K) (- n m)) 2) M)) (cos (+ (* (* K n) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* K m) (sin (+ (* (* K n) 1/2) (neg M)))) -1/2) (cos (+ (* (* K n) 1/2) (neg M)))) (+ (* 1/4 (pow (+ n m) 2)) l) (pow (+ n m) 2) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (* n n) -1/4) (* (* (+ n m) (- n m)) K) (sin (+ (* (* K n) 1/2) (neg M))))
3.0ms
n
@-inf
((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l))) (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (cos M) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (/ (* (* (+ n m) (- n m)) K) (- n m)) (/ (/ (* (* (+ n m) (- n m)) K) (- n m)) 2) (* (cos (- (/ (/ (* (* (+ n m) (- n m)) K) (- n m)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (/ (* (* (+ n m) (- n m)) K) (- n m)) 2) M)) (cos (+ (* (* K n) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* K m) (sin (+ (* (* K n) 1/2) (neg M)))) -1/2) (cos (+ (* (* K n) 1/2) (neg M)))) (+ (* 1/4 (pow (+ n m) 2)) l) (pow (+ n m) 2) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (* n n) -1/4) (* (* (+ n m) (- n m)) K) (sin (+ (* (* K n) 1/2) (neg M))))
3.0ms
n
@inf
((* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l))) (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (cos M) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (/ (* (* (+ n m) (- n m)) K) (- n m)) (/ (/ (* (* (+ n m) (- n m)) K) (- n m)) 2) (* (cos (- (/ (/ (* (* (+ n m) (- n m)) K) (- n m)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (/ (* (* (+ n m) (- n m)) K) (- n m)) 2) M)) (cos (+ (* (* K n) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* K m) (sin (+ (* (* K n) 1/2) (neg M)))) -1/2) (cos (+ (* (* K n) 1/2) (neg M)))) (+ (* 1/4 (pow (+ n m) 2)) l) (pow (+ n m) 2) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (* n n) -1/4) (* (* (+ n m) (- n m)) K) (sin (+ (* (* K n) 1/2) (neg M))))

simplify414.0ms (3.8%)

Memory
-3.1MiB live, 393.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 512×lower-fma.f64
9 512×lower-fma.f32
6 804×lower-+.f64
6 804×lower-+.f32
6 190×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116332070
1375630878
0813329892
Stop Event
1×iter limit
1×node limit
Counts
1 068 → 1 066
Calls
Call 1
Inputs
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* K (+ m n))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* 1/2 (* K (+ m n)))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* n (sin (neg M))))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))
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(* K m)
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(* 1/2 (* K m))
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(cos (- (* 1/2 (* K m)) M))
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(cos (- (* 1/2 (* K m)) M))
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(+ l (* 1/4 (pow m 2)))
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(+ 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)))))
(pow m 2)
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(+ (* n (+ n (* 2 m))) (pow m 2))
(+ (* n (+ n (* 2 m))) (pow m 2))
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(- (+ (fabs (- m n)) (* n (- M (* 1/2 m)))) (+ l (pow (- (* 1/2 m) M) 2)))
(- (+ (fabs (- m n)) (* n (- (+ M (* -1/4 n)) (* 1/2 m)))) (+ l (pow (- (* 1/2 m) M) 2)))
(- (+ (fabs (- m n)) (* n (- (+ M (* -1/4 n)) (* 1/2 m)))) (+ l (pow (- (* 1/2 m) M) 2)))
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(- (+ (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))
(* -1/4 (pow n 2))
(* -1/4 (pow n 2))
(* -1/4 (pow n 2))
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(+ (* -1 (* K (pow m 2))) (* n (+ (* K n) (* K (+ m (* -1 m))))))
(+ (* -1 (* K (pow m 2))) (* n (+ (* K n) (* K (+ m (* -1 m))))))
(sin (neg M))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos M) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos M) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos M) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos M) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))))
(exp (- (fabs (- m n)) (+ l (* 1/4 (pow (+ m n) 2)))))
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(* (pow n 2) (- (/ (fabs (- m n)) (pow n 2)) (+ 1/4 (+ (* 1/4 (/ (pow m 2) (pow n 2))) (+ (* 1/2 (/ m n)) (/ l (pow n 2)))))))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(cos (- (* 1/2 (* K (+ m n))) M))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(* K n)
(* n (+ K (/ (* K m) n)))
(* n (+ K (/ (* K m) n)))
(* n (+ K (/ (* K m) 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))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(+ (cos (- (* 1/2 (* K n)) M)) (* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M))))))
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(+ (cos (- (* 1/2 (* K n)) M)) (* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) 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))))))
(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)))))
(* -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) (- (/ 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))
(* -1/4 (pow n 2))
(* -1/4 (pow n 2))
(* -1/4 (pow n 2))
(* K (pow n 2))
(* (pow n 2) (+ K (/ (* K (+ m (* -1 m))) n)))
(* (pow n 2) (+ K (+ (* -1 (/ (* K (pow m 2)) (pow n 2))) (/ (* K (+ m (* -1 m))) n))))
(* (pow n 2) (+ K (+ (* -1 (/ (* K (pow m 2)) (pow n 2))) (/ (* K (+ m (* -1 m))) n))))
(sin (- (* 1/2 (* K n)) M))
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(sin (- (* 1/2 (* K n)) M))
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(pow n 2)
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))
(* K m)
(* m (+ K (/ (* K n) m)))
(* m (+ K (/ (* K n) m)))
(* m (+ K (/ (* K n) m)))
(* 1/2 (* K m))
(* m (+ (* 1/2 K) (* 1/2 (/ (* K n) m))))
(* m (+ (* 1/2 K) (* 1/2 (/ (* K n) m))))
(* m (+ (* 1/2 K) (* 1/2 (/ (* K n) m))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M)))))
(* m (+ (* -1/2 (* K (sin (- (* 1/2 (* K n)) M)))) (/ (cos (- (* 1/2 (* K n)) M)) m)))
(* m (+ (* -1/2 (* K (sin (- (* 1/2 (* K n)) M)))) (/ (cos (- (* 1/2 (* K n)) M)) m)))
(* m (+ (* -1/2 (* K (sin (- (* 1/2 (* K n)) M)))) (/ (cos (- (* 1/2 (* K n)) M)) m)))
(* 1/4 (pow m 2))
(* (pow m 2) (+ 1/4 (* 1/2 (/ n m))))
(* (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))))))
(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)))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (/ M m) (+ 1/4 (* 1/2 (/ n m)))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (/ M m) (+ 1/4 (* 1/2 (/ n m)))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* (pow m 2) (- (+ (/ M m) (/ (fabs (- m n)) (pow m 2))) (+ 1/4 (+ (* 1/2 (/ n m)) (+ (/ l (pow m 2)) (/ (pow (- (* 1/2 n) M) 2) (pow m 2)))))))
(* -1 (* K (pow m 2)))
(* (pow m 2) (+ (* -1 K) (/ (* K (+ n (* -1 n))) m)))
(* (pow m 2) (+ (* -1 K) (+ (/ (* K (+ n (* -1 n))) m) (/ (* K (pow n 2)) (pow m 2)))))
(* (pow m 2) (+ (* -1 K) (+ (/ (* K (+ n (* -1 n))) m) (/ (* K (pow n 2)) (pow m 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos M) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos M) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos M) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos M) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow (- n (* -1 m)) 2)))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow (- n (* -1 m)) 2)))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow (- n (* -1 m)) 2)))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow (- n (* -1 m)) 2)))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (* -1/2 (/ n m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2)))) m)) (* -1/2 n)) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (* 1/4 (pow n 2)))) m)) (* -1/2 n)) m)) 1/4))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(* 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)))))
(* 1/2 (* K m))
(* -1 (* m (+ (* -1/2 K) (* -1/2 (/ (* K n) m)))))
(* -1 (* m (+ (* -1/2 K) (* -1/2 (/ (* K n) m)))))
(* -1 (* m (+ (* -1/2 K) (* -1/2 (/ (* K n) m)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M)))))
(* -1 (* m (+ (* -1 (/ (cos (- (* 1/2 (* K n)) M)) m)) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(* -1 (* m (+ (* -1 (/ (cos (- (* 1/2 (* K n)) M)) m)) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(* -1 (* m (+ (* -1 (/ (cos (- (* 1/2 (* K n)) M)) m)) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(* 1/4 (pow m 2))
(* (pow m 2) (+ 1/4 (* 1/2 (/ n m))))
(* (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))))
(pow m 2)
(* (pow m 2) (+ 1 (* 2 (/ n m))))
(* (pow m 2) (+ 1 (* -1 (/ (+ (* -2 n) (* -1 (/ (pow n 2) m))) m))))
(* (pow m 2) (+ 1 (* -1 (/ (+ (* -2 n) (* -1 (/ (pow n 2) m))) m))))
(* -1/4 (pow m 2))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* -1/4 (pow m 2))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* -1 (* K (pow m 2)))
(* (pow m 2) (+ (* -1 K) (* -1 (/ (* K (+ n (* -1 n))) m))))
(* (pow m 2) (+ (* -1 K) (* -1 (/ (+ (* -1 (/ (* K (pow n 2)) m)) (* K (+ n (* -1 n)))) m))))
(* (pow m 2) (+ (* -1 K) (* -1 (/ (+ (* -1 (/ (* K (pow n 2)) m)) (* K (+ n (* -1 n)))) m))))
Outputs
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (*.f64 K #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (cos.f64 M)) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 M)) (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (*.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (*.f64 K #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (cos.f64 M)) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 M)) (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (*.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(cos (neg M))
(cos.f64 M)
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(fma.f64 (*.f64 K #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (cos.f64 M))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (cos.f64 M)) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64))) K (cos.f64 M))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (*.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 M)) (pow.f64 (+.f64 n m) #s(literal 2 binary64)))) K (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64))) K (cos.f64 M))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* K (+ m n))
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(* K (+ m n))
(*.f64 K (+.f64 n m))
(* K (+ m n))
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(* K (+ m n))
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(* 1/2 (* K (+ m n)))
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(* 1/2 (* K (+ m n)))
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(* 1/2 (* K (+ m n)))
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(* 1/2 (* K (+ m n)))
(*.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
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(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
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(cos (neg M))
(cos.f64 M)
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(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (cos.f64 M)) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64))) K (cos.f64 M))
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(cos (neg M))
(cos.f64 M)
(+ (cos (neg M)) (* -1/2 (* K (* n (sin (neg M))))))
(fma.f64 (*.f64 K #s(literal -1/2 binary64)) (neg.f64 (*.f64 n (sin.f64 M))) (cos.f64 M))
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(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (*.f64 n n) (cos.f64 M)) (*.f64 (*.f64 #s(literal -1/2 binary64) n) (neg.f64 (sin.f64 M)))) K (cos.f64 M))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (pow n 2) (cos (neg M)))) (* 1/48 (* K (* (pow n 3) (sin (neg M))))))) (* 1/2 (* n (sin (neg M)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (pow.f64 n #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 n n)) (cos.f64 M))) K (*.f64 (*.f64 #s(literal -1/2 binary64) n) (neg.f64 (sin.f64 M)))) K (cos.f64 M))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (*.f64 K #s(literal -1/2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
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(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 M)) (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (*.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(cos (neg M))
(cos.f64 M)
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(fma.f64 (*.f64 K #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (cos.f64 M))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) (cos.f64 M)) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64))) K (cos.f64 M))
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(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (pow.f64 (+.f64 n m) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (*.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 M)) (pow.f64 (+.f64 n m) #s(literal 2 binary64)))) K (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64))) K (cos.f64 M))
(cos (neg M))
(cos.f64 M)
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(fma.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64)) K (cos.f64 M))
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(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 n n)) (cos.f64 M) (*.f64 (*.f64 (*.f64 n (cos.f64 M)) m) #s(literal -1/4 binary64))) K (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64))) K (cos.f64 M))
(+ (cos (neg M)) (* K (- (+ (* -1/2 (* m (sin (neg M)))) (* K (+ (* -1/4 (* m (* n (cos (neg M))))) (+ (* -1/8 (* (pow n 2) (cos (neg M)))) (* K (- (* 1/16 (* m (* (pow n 2) (sin (neg M))))) (* -1/48 (* (pow n 3) (sin (neg M)))))))))) (* 1/2 (* n (sin (neg M)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) m) (*.f64 n (cos.f64 M)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) m) (*.f64 (*.f64 n n) (neg.f64 (sin.f64 M))) (*.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) #s(literal 1/48 binary64))) K (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 n n)) (cos.f64 M)))) K (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) #s(literal -1/2 binary64))) K (cos.f64 M))
(* K (* (+ m n) (- n m)))
(*.f64 (*.f64 K (+.f64 n m)) (-.f64 n m))
(* K (* (+ m n) (- n m)))
(*.f64 (*.f64 K (+.f64 n m)) (-.f64 n m))
(* K (* (+ m n) (- n m)))
(*.f64 (*.f64 K (+.f64 n m)) (-.f64 n m))
(* K (* (+ m n) (- n m)))
(*.f64 (*.f64 K (+.f64 n m)) (-.f64 n m))
(sin (neg M))
(neg.f64 (sin.f64 M))
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(fma.f64 (*.f64 K #s(literal 1/2 binary64)) (*.f64 n (cos.f64 M)) (neg.f64 (sin.f64 M)))
(+ (sin (neg M)) (* K (+ (* -1/8 (* K (* (pow n 2) (sin (neg M))))) (* 1/2 (* n (cos (neg M)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (*.f64 n n) (neg.f64 (sin.f64 M))) (*.f64 (*.f64 n (cos.f64 M)) #s(literal 1/2 binary64))) K (neg.f64 (sin.f64 M)))
(+ (sin (neg M)) (* K (+ (* 1/2 (* n (cos (neg M)))) (* K (+ (* -1/8 (* (pow n 2) (sin (neg M)))) (* -1/48 (* K (* (pow n 3) (cos (neg M))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) K) (*.f64 (pow.f64 n #s(literal 3 binary64)) (cos.f64 M)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 n n)) (neg.f64 (sin.f64 M)))) K (*.f64 (*.f64 n (cos.f64 M)) #s(literal 1/2 binary64))) K (neg.f64 (sin.f64 M)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* (sin (- (* 1/2 (* K m)) M)) (- M (* 1/2 m)))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4)))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))
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(+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* (sin (- (* 1/2 (* K m)) M)) (- M (* 1/2 m)))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))) (+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* (sin (- (* 1/2 (* K m)) M)) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m)))))) (+ (* 1/48 (* (pow K 3) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (+ (* -1/4 (- M (* 1/2 m))) (* 1/6 (pow (- M (* 1/2 m)) 3))))))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4))))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l)))
(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m)))))
(fma.f64 (*.f64 (-.f64 M (*.f64 #s(literal 1/2 binary64) m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l)))) n (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l))))
(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* n (+ (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))
(fma.f64 (fma.f64 (*.f64 n (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l)))) (fma.f64 (pow.f64 (-.f64 M (*.f64 #s(literal 1/2 binary64) m)) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (*.f64 (-.f64 M (*.f64 #s(literal 1/2 binary64) m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l))))) n (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l))))
(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* n (+ (* n (+ (* n (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (+ (* -1/4 (- M (* 1/2 m))) (* 1/6 (pow (- M (* 1/2 m)) 3))))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4)))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 n (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l)))) (fma.f64 (pow.f64 (-.f64 M (*.f64 #s(literal 1/2 binary64) m)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (-.f64 M (*.f64 #s(literal 1/2 binary64) m)) #s(literal -1/4 binary64))) (*.f64 (fma.f64 (pow.f64 (-.f64 M (*.f64 #s(literal 1/2 binary64) m)) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal -1/4 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l))))) n (*.f64 (-.f64 M (*.f64 #s(literal 1/2 binary64) m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l))))) n (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l))))
(* K m)
(*.f64 K m)
(+ (* K m) (* K n))
(*.f64 K (+.f64 n m))
(+ (* K m) (* K n))
(*.f64 K (+.f64 n m))
(+ (* K m) (* K n))
(*.f64 K (+.f64 n m))
(* 1/2 (* K m))
(*.f64 (*.f64 K m) #s(literal 1/2 binary64))
(+ (* 1/2 (* K m)) (* 1/2 (* K n)))
(*.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64))
(+ (* 1/2 (* K m)) (* 1/2 (* K n)))
(*.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64))
(+ (* 1/2 (* K m)) (* 1/2 (* K n)))
(*.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64))
(* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 K m) #s(literal 1/2 binary64) (neg.f64 M))))
(+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m)))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))
(fma.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (*.f64 (sin.f64 (fma.f64 (*.f64 K m) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 K m) #s(literal 1/2 binary64) (neg.f64 M)))) (-.f64 M (*.f64 #s(literal 1/2 binary64) m)))) n (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) m (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 K m) #s(literal 1/2 binary64) (neg.f64 M)))))
(+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (sin (- (* 1/2 (* K m)) M))))) (+ (* n (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (* (sin (- (* 1/2 (* K m)) M)) (- M (* 1/2 m)))))) (+ (* -1/8 (* (pow K 2) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 m)) 2)) 1/4)))))) (* (cos (- (* 1/2 (* K m)) M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2)))) (- M (* 1/2 m))))))) (* (cos (- (* 1/2 (* K m)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 m) M) 2))))))
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(cos (- (* 1/2 (* K m)) M))
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(cos (neg M))
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(fma.f64 (*.f64 K #s(literal -1/2 binary64)) (neg.f64 (*.f64 n (sin.f64 M))) (cos.f64 M))
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(cos (- (* 1/2 (* K m)) M))
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(exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)))
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(+ (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (* m (+ (* m (+ (* m (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (+ (* -1/4 (- M (* 1/2 n))) (* 1/6 (pow (- M (* 1/2 n)) 3))))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- (* 1/2 (pow (- M (* 1/2 n)) 2)) 1/4)))) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))) (- M (* 1/2 n))))))
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(* K n)
(*.f64 K n)
(+ (* K m) (* K n))
(*.f64 K (+.f64 n m))
(+ (* K m) (* K n))
(*.f64 K (+.f64 n m))
(+ (* K m) (* K n))
(*.f64 K (+.f64 n m))
(* 1/2 (* K n))
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(+ (* 1/2 (* K m)) (* 1/2 (* K n)))
(*.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64))
(+ (* 1/2 (* K m)) (* 1/2 (* K n)))
(*.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64))
(+ (* 1/2 (* K m)) (* 1/2 (* K n)))
(*.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64))
(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
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(cos (- (* 1/2 (* K n)) M))
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(*.f64 K m)
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(*.f64 (neg.f64 (fma.f64 K (/.f64 n m) K)) (neg.f64 m))
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(*.f64 (neg.f64 (fma.f64 K (/.f64 n m) K)) (neg.f64 m))
(* -1 (* m (+ (* -1 K) (* -1 (/ (* K n) m)))))
(*.f64 (neg.f64 (fma.f64 K (/.f64 n m) K)) (neg.f64 m))
(* 1/2 (* K m))
(*.f64 (*.f64 K m) #s(literal 1/2 binary64))
(* -1 (* m (+ (* -1/2 K) (* -1/2 (/ (* K n) m)))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 K (/.f64 n m) K)) (neg.f64 m))
(* -1 (* m (+ (* -1/2 K) (* -1/2 (/ (* K n) m)))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 K (/.f64 n m) K)) (neg.f64 m))
(* -1 (* m (+ (* -1/2 K) (* -1/2 (/ (* K n) m)))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 K (/.f64 n m) K)) (neg.f64 m))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M)))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M)))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M)))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M)))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(* (cos (- (* 1/2 (* K (- n (* -1 m)))) M)) (exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M)))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M)))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M)))
(cos (- (* 1/2 (* K (- n (* -1 m)))) M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M)))
(* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M)))))
(*.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64))
(* -1 (* m (+ (* -1 (/ (cos (- (* 1/2 (* K n)) M)) m)) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(*.f64 (fma.f64 (*.f64 K #s(literal 1/2 binary64)) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))) (/.f64 (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))) (neg.f64 m))) (neg.f64 m))
(* -1 (* m (+ (* -1 (/ (cos (- (* 1/2 (* K n)) M)) m)) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(*.f64 (fma.f64 (*.f64 K #s(literal 1/2 binary64)) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))) (/.f64 (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))) (neg.f64 m))) (neg.f64 m))
(* -1 (* m (+ (* -1 (/ (cos (- (* 1/2 (* K n)) M)) m)) (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))))
(*.f64 (fma.f64 (*.f64 K #s(literal 1/2 binary64)) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))) (/.f64 (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))) (neg.f64 m))) (neg.f64 m))
(* 1/4 (pow m 2))
(*.f64 (*.f64 m m) #s(literal 1/4 binary64))
(* (pow m 2) (+ 1/4 (* 1/2 (/ n m))))
(*.f64 (fma.f64 (/.f64 n m) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 m m))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ l (* 1/4 (pow n 2))) m)) (* -1/2 n)) m))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 n n) l) (neg.f64 m))) m)) (*.f64 m m))
(* (pow m 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (+ l (* 1/4 (pow n 2))) m)) (* -1/2 n)) m))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) n (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 n n) l) (neg.f64 m))) m)) (*.f64 m m))
(pow m 2)
(*.f64 m m)
(* (pow m 2) (+ 1 (* 2 (/ n m))))
(*.f64 (fma.f64 (/.f64 n m) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 m m))
(* (pow m 2) (+ 1 (* -1 (/ (+ (* -2 n) (* -1 (/ (pow n 2) m))) m))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 n n) (neg.f64 m))) m)) (*.f64 m m))
(* (pow m 2) (+ 1 (* -1 (/ (+ (* -2 n) (* -1 (/ (pow n 2) m))) m))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 n n) (neg.f64 m))) m)) (*.f64 m m))
(* -1/4 (pow m 2))
(*.f64 (*.f64 m m) #s(literal -1/4 binary64))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m) #s(literal -1 binary64) #s(literal -1/4 binary64)) (*.f64 m m))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (neg.f64 m)) #s(literal 1/4 binary64)) (*.f64 m m))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (neg.f64 m)) #s(literal 1/4 binary64)) (*.f64 m m))
(* -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 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) m) #s(literal -1 binary64) #s(literal -1/4 binary64)) (*.f64 m m))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (neg.f64 m)) #s(literal 1/4 binary64)) (*.f64 m m))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (neg.f64 m)) #s(literal 1/4 binary64)) (*.f64 m m))
(* -1 (* K (pow m 2)))
(*.f64 (neg.f64 K) (*.f64 m m))
(* (pow m 2) (+ (* -1 K) (* -1 (/ (* K (+ n (* -1 n))) m))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 0 binary64) K) m) K) (*.f64 m m))
(* (pow m 2) (+ (* -1 K) (* -1 (/ (+ (* -1 (/ (* K (pow n 2)) m)) (* K (+ n (* -1 n)))) m))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) K (*.f64 (neg.f64 K) (/.f64 (*.f64 n n) m))) (neg.f64 m)) K) (*.f64 m m))
(* (pow m 2) (+ (* -1 K) (* -1 (/ (+ (* -1 (/ (* K (pow n 2)) m)) (* K (+ n (* -1 n)))) m))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) K (*.f64 (neg.f64 K) (/.f64 (*.f64 n n) m))) (neg.f64 m)) K) (*.f64 m m))

rewrite461.0ms (4.2%)

Memory
-13.5MiB live, 360.0MiB allocated
Rules
7 102×lower-*.f32
7 080×lower-*.f64
4 406×lower-fma.f32
4 400×lower-fma.f64
3 992×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073544
0109542
1434501
23676501
011367501
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 365
Calls
Call 1
Inputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)))))
#s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M))
(cos.f64 M)
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))))
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64))))
(/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64))
(*.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M))
(cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))))
(fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)
(pow.f64 (+.f64 n m) #s(literal 2 binary64))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))
(*.f64 (*.f64 n n) #s(literal -1/4 binary64))
(*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K)
(sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))
Outputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) l)))))
#s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) l))))
(*.f64 (exp.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) l))) (exp.f64 (fabs.f64 (-.f64 n m))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (exp.f64 (neg.f64 l)))
(*.f64 (exp.f64 (fabs.f64 (-.f64 n m))) (exp.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) l))))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (-.f64 n m) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) l) #s(literal 2 binary64)))) (pow.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) l) (fabs.f64 (-.f64 n m))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (fabs.f64 (-.f64 n m)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) l) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) l) (+.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 n m) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) l) (fabs.f64 (-.f64 n m)))) #s(literal -1 binary64))
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(*.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 4 binary64)) #s(literal 1/16 binary64) (*.f64 (neg.f64 l) l)) (pow.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 l)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 l #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 4 binary64)) #s(literal 1/16 binary64) (*.f64 l (-.f64 l (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 l)) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 4 binary64)) #s(literal 1/16 binary64) (*.f64 (neg.f64 l) l))) #s(literal -1 binary64))
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(/.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 4 binary64)) #s(literal 1/16 binary64) (*.f64 (neg.f64 l) l)) (fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 l)))
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(/.f64 (fma.f64 (pow.f64 (+.f64 n m) #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 l #s(literal 3 binary64))) (fma.f64 l l (-.f64 (*.f64 (pow.f64 (+.f64 n m) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64)) l))))
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(fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal 1/2 binary64)) (+.f64 n m)) #s(literal 1/2 binary64) l)
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(fma.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64) l)
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(fma.f64 (+.f64 n m) (*.f64 (+.f64 n m) #s(literal 1/4 binary64)) l)
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)
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(+.f64 (*.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64)) #s(literal 1/4 binary64)) l)
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(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 n m) (-.f64 m n)) (-.f64 (pow.f64 m #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 n (+.f64 n m) (*.f64 m m)) #s(literal 2 binary64)))
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(*.f64 (neg.f64 (+.f64 n m)) (neg.f64 (+.f64 n m)))
(*.f64 (+.f64 n m) (+.f64 n m))
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(/.f64 (pow.f64 (*.f64 (-.f64 n m) (+.f64 n m)) #s(literal 2 binary64)) (pow.f64 (-.f64 n m) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 m n)) (+.f64 n m)) (-.f64 m n))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64))) (+.f64 n m)) (fma.f64 n n (*.f64 m (-.f64 m n))))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64))) (+.f64 n m)) (fma.f64 n (-.f64 n m) (*.f64 m m)))
(/.f64 (*.f64 (*.f64 (-.f64 n m) (+.f64 n m)) (+.f64 n m)) (-.f64 n m))
(/.f64 (*.f64 (+.f64 n m) (*.f64 (+.f64 n m) (-.f64 m n))) (-.f64 m n))
(/.f64 (*.f64 (+.f64 n m) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64)))) (fma.f64 n n (*.f64 m (-.f64 m n))))
(/.f64 (*.f64 (+.f64 n m) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64)))) (fma.f64 n (-.f64 n m) (*.f64 m m)))
(/.f64 (*.f64 (+.f64 n m) (*.f64 (-.f64 n m) (+.f64 n m))) (-.f64 n m))
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(/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 m n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64)))) (*.f64 (-.f64 m n) (fma.f64 n n (*.f64 m (-.f64 m n)))))
(/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 m n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64)))) (*.f64 (-.f64 m n) (fma.f64 n (-.f64 n m) (*.f64 m m))))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64))) (*.f64 (+.f64 n m) (-.f64 m n))) (*.f64 (fma.f64 n n (*.f64 m (-.f64 m n))) (-.f64 m n)))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64))) (*.f64 (+.f64 n m) (-.f64 m n))) (*.f64 (fma.f64 n (-.f64 n m) (*.f64 m m)) (-.f64 m n)))
(/.f64 (pow.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 n n (*.f64 m (-.f64 m n))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 n n (*.f64 m (-.f64 m n))) (fma.f64 n (-.f64 n m) (*.f64 m m))))
(/.f64 (pow.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 n (-.f64 n m) (*.f64 m m)) (fma.f64 n n (*.f64 m (-.f64 m n)))))
(/.f64 (pow.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 n (-.f64 n m) (*.f64 m m)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 n m) (+.f64 n m)) (*.f64 (+.f64 n m) (-.f64 m n))) (*.f64 (-.f64 n m) (-.f64 m n)))
(/.f64 (*.f64 (*.f64 (-.f64 n m) (+.f64 n m)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64)))) (*.f64 (-.f64 n m) (fma.f64 n n (*.f64 m (-.f64 m n)))))
(/.f64 (*.f64 (*.f64 (-.f64 n m) (+.f64 n m)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64)))) (*.f64 (-.f64 n m) (fma.f64 n (-.f64 n m) (*.f64 m m))))
(/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 m n)) (*.f64 (-.f64 n m) (+.f64 n m))) (*.f64 (-.f64 m n) (-.f64 n m)))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64))) (*.f64 (-.f64 n m) (+.f64 n m))) (*.f64 (fma.f64 n n (*.f64 m (-.f64 m n))) (-.f64 n m)))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64))) (*.f64 (-.f64 n m) (+.f64 n m))) (*.f64 (fma.f64 n (-.f64 n m) (*.f64 m m)) (-.f64 n m)))
(fma.f64 (+.f64 n m) n (*.f64 (+.f64 n m) m))
(fma.f64 (+.f64 n m) m (*.f64 (+.f64 n m) n))
(fma.f64 n (+.f64 n m) (*.f64 m (+.f64 n m)))
(fma.f64 m (+.f64 n m) (*.f64 n (+.f64 n m)))
(exp.f64 (+.f64 (log.f64 (+.f64 n m)) (log.f64 (+.f64 n m))))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 n m)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 n m) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 n m)) #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 n m) m) (*.f64 (+.f64 n m) n))
(+.f64 (*.f64 (+.f64 n m) n) (*.f64 (+.f64 n m) m))
(+.f64 (*.f64 m (+.f64 n m)) (*.f64 n (+.f64 n m)))
(+.f64 (*.f64 n (+.f64 n m)) (*.f64 m (+.f64 n m)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 #s(literal -1/4 binary64) (*.f64 n n)))
(*.f64 (*.f64 #s(literal -1/4 binary64) n) n)
(*.f64 #s(literal -1/4 binary64) (*.f64 n n))
(*.f64 (*.f64 n n) #s(literal -1/4 binary64))
(*.f64 n (*.f64 #s(literal -1/4 binary64) n))
(*.f64 (*.f64 (-.f64 n m) K) (+.f64 n m))
(*.f64 (*.f64 (-.f64 n m) (+.f64 n m)) K)
(*.f64 (*.f64 (+.f64 n m) K) (-.f64 n m))
(*.f64 (-.f64 n m) (*.f64 (+.f64 n m) K))
(*.f64 (+.f64 n m) (*.f64 (-.f64 n m) K))
(*.f64 K (*.f64 (-.f64 n m) (+.f64 n m)))
(/.f64 (*.f64 (*.f64 (-.f64 n m) (+.f64 n m)) (*.f64 (-.f64 n m) K)) (-.f64 n m))
(/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 m n)) (*.f64 (-.f64 n m) K)) (-.f64 m n))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64))) (*.f64 (-.f64 n m) K)) (fma.f64 n n (*.f64 m (-.f64 m n))))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64))) (*.f64 (-.f64 n m) K)) (fma.f64 n (-.f64 n m) (*.f64 m m)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 M)) (cos.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sin.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (*.f64 #s(literal 1 binary64) M))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 M)) (cos.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64))) (cos.f64 M)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 M)) (cos.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64))) (cos.f64 M)) (*.f64 (neg.f64 (sin.f64 M)) (cos.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64))))))))
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(fma.f64 (sin.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64))) (cos.f64 M) (*.f64 (neg.f64 (sin.f64 M)) (cos.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 M) (sin.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (sin.f64 M)) (cos.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64)))))
(sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
(-.f64 (*.f64 (sin.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) n) K #s(literal 0 binary64))) (cos.f64 M)) (*.f64 (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) n) K #s(literal 0 binary64))) (sin.f64 M)))
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (*.f64 #s(literal 1 binary64) M)))) (cos.f64 (/.f64 (*.f64 M M) (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (*.f64 #s(literal 1 binary64) M))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (*.f64 #s(literal 1 binary64) M)))) (sin.f64 (/.f64 (*.f64 M M) (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (*.f64 #s(literal 1 binary64) M))))))
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (-.f64 M (*.f64 (*.f64 n K) #s(literal 1/2 binary64))))) (*.f64 #s(literal 1 binary64) (sin.f64 (-.f64 M (*.f64 (*.f64 n K) #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (sin.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64))) (cos.f64 M)) (*.f64 (cos.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64))) (sin.f64 M)))
(+.f64 (*.f64 (neg.f64 (sin.f64 M)) (cos.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64))) (cos.f64 M)))
(+.f64 (*.f64 (sin.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64))) (cos.f64 M)) (*.f64 (neg.f64 (sin.f64 M)) (cos.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64)))))

eval446.0ms (4.1%)

Memory
1.6MiB live, 423.8MiB allocated
Compiler

Compiled 59 167 to 2 778 computations (95.3% saved)

prune220.0ms (2%)

Memory
13.8MiB live, 342.8MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1 68581 693
Fresh358
Picked415
Done000
Total1 692141 706
Accuracy
97.6%
Counts
1 706 → 14
Alt Table
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StatusAccuracyProgram
29.7%
(*.f64 (cos.f64 (-.f64 (/.f64 (/.f64 #s(approx (* (* (+ n m) (- n m)) K) (*.f64 (*.f64 n n) K)) (-.f64 n m)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
16.4%
(*.f64 (cos.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 n m) K))) #s(literal -1 binary64))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
▶35.7%
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
36.4%
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K m) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
▶32.8%
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
57.0%
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
✓40.1%
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
▶70.7%
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
29.5%
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* K m) (sin (+ (* (* K n) 1/2) (neg M)))) -1/2) (cos (+ (* (* K n) 1/2) (neg M)))) (*.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
65.6%
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l) (fabs.f64 (-.f64 n m))))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)))))
▶51.3%
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))))
57.8%
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 (*.f64 m m) #s(literal -1/4 binary64))))))
55.1%
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 #s(literal -1/4 binary64) (*.f64 n n))))))
▶40.1%
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))
Compiler

Compiled 595 to 391 computations (34.3% saved)

simplify139.0ms (1.3%)

Memory
20.0MiB live, 175.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))
cost-diff0
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))))
cost-diff0
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
cost-diff128
(cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))
cost-diff0
(*.f64 (*.f64 K n) #s(literal 1/2 binary64))
cost-diff0
#s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))
cost-diff0
(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64))))
cost-diff0
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
cost-diff0
(-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n))))
cost-diff0
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))
cost-diff0
#s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n))))))
cost-diff0
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))))
cost-diff0
#s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l))
cost-diff0
(exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))
cost-diff0
#s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l))))
cost-diff0
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))
cost-diff0
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n))))
cost-diff0
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
cost-diff128
(-.f64 (neg.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-diff256
(*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n))
Rules
9 482×lower-fma.f32
9 474×lower-fma.f64
4 240×lower-*.f32
4 214×lower-*.f64
2 676×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01001015
01461011
12581008
2546997
31665993
46530993
08152973
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n))))
#s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))
(*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n))
(fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n)))
(*.f64 K #s(literal -1/2 binary64))
K
#s(literal -1/2 binary64)
(sin.f64 M)
M
(/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))
(fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M))
(*.f64 (*.f64 (sin.f64 M) m) K)
(*.f64 (sin.f64 M) m)
m
#s(literal 1/2 binary64)
(cos.f64 M)
(neg.f64 n)
n
(exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))
(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))
(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)
(/.f64 (+.f64 m n) #s(literal 2 binary64))
(+.f64 m n)
#s(literal 2 binary64)
(-.f64 l (fabs.f64 (-.f64 m n)))
l
(fabs.f64 (-.f64 m n))
(-.f64 m n)
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))
#s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l))))
(exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))
#s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l))
(neg.f64 l)
l
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))))
#s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n))))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))
(-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n))))
(fabs.f64 (-.f64 m n))
(-.f64 m n)
m
n
#s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))
(*.f64 #s(literal 1/4 binary64) (*.f64 n n))
#s(literal 1/4 binary64)
(*.f64 n n)
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64))))
#s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))
(*.f64 (*.f64 K n) #s(literal 1/2 binary64))
(*.f64 K n)
K
n
#s(literal 1/2 binary64)
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))))
(fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))
(*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M))))
(*.f64 K m)
K
m
#s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))
(neg.f64 (sin.f64 M))
(sin.f64 M)
M
#s(literal -1/2 binary64)
(cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))
(fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))
(*.f64 K n)
n
#s(literal 1/2 binary64)
(neg.f64 M)
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
Outputs
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64))))) #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 M)) K (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 M) m) K) (cos.f64 M)) n)) n))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 M)) K (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 M) m) K) (cos.f64 M)) n)) n)))
#s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))
#s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 M)) K (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 M) m) K) (cos.f64 M)) n)) n))
(*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 M)) K (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 M) m) K) (cos.f64 M)) n)) n)
(fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n)))
(fma.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 M) m) K) (cos.f64 M)) (neg.f64 n)))
(*.f64 K #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) K)
K
#s(literal -1/2 binary64)
(sin.f64 M)
M
(/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 M) m) K) (cos.f64 M)) (neg.f64 n))
(fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 M) m) K) (cos.f64 M))
(*.f64 (*.f64 (sin.f64 M) m) K)
(*.f64 (sin.f64 M) m)
m
#s(literal 1/2 binary64)
(cos.f64 M)
(neg.f64 n)
n
(exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (/.f64 (+.f64 n m) #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))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) #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))
(pow.f64 (-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)
(-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M)
(/.f64 (+.f64 m n) #s(literal 2 binary64))
(/.f64 (+.f64 n m) #s(literal 2 binary64))
(+.f64 m n)
(+.f64 n m)
#s(literal 2 binary64)
(-.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)
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))
#s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l))))
(exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))
#s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l))
(neg.f64 l)
l
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 (*.f64 n n) #s(literal 1/4 binary64)))))))
#s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n))))))
#s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 (*.f64 n n) #s(literal 1/4 binary64))))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 (*.f64 n n) #s(literal 1/4 binary64)))))
(-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n))))
(-.f64 (fabs.f64 (-.f64 n m)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 (*.f64 n n) #s(literal 1/4 binary64))))
(fabs.f64 (-.f64 m n))
(fabs.f64 (-.f64 n m))
(-.f64 m n)
m
n
#s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))
#s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 (*.f64 n n) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 n n))
(*.f64 (*.f64 n n) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 n n)
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 n K) #s(literal 1/2 binary64)))))
(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64))))
(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 n K) #s(literal 1/2 binary64))))
#s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))
#s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 n K) #s(literal 1/2 binary64)))
(*.f64 (*.f64 K n) #s(literal 1/2 binary64))
(*.f64 (*.f64 n K) #s(literal 1/2 binary64))
(*.f64 K n)
(*.f64 n K)
K
n
#s(literal 1/2 binary64)
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) m) K) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M))) (cos.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) n) K M)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) m) K) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M))) (cos.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) n) K M))))
(fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) m) K) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M))) (cos.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) n) K M)))
(*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M))))
(*.f64 #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M))) (*.f64 m K))
(*.f64 K m)
(*.f64 m K)
K
m
#s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))
(neg.f64 (sin.f64 M))
(sin.f64 M)
M
#s(literal -1/2 binary64)
(cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) n) K M))
(fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))
(fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M))
(*.f64 K n)
(*.f64 n K)
n
#s(literal 1/2 binary64)
(neg.f64 M)
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(neg.f64 l)
l

localize367.0ms (3.4%)

Memory
4.1MiB live, 748.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy29.95012988020965
(cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))
accuracy32.45551869329683
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))))
accuracy36.682875865817195
#s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))
accuracy54.43148814673721
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
accuracy0
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
accuracy41.42527259081152
(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64))))
accuracy42.965557144957906
#s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))
accuracy54.43148814673721
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
accuracy0.20659013656165237
(*.f64 #s(literal 1/4 binary64) (*.f64 n n))
accuracy3.7237043793460454
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))))
accuracy3.89836592429626
#s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n))))))
accuracy37.58707711136798
#s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))
accuracy0
(exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))
accuracy3.7237043793460454
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))
accuracy3.89836592429626
#s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l))))
accuracy49.876157942345465
#s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l))
accuracy1.7883013048261818
(/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))
accuracy2.2511481429108935
(*.f64 (*.f64 (sin.f64 M) m) K)
accuracy5.973770139089478
(*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n))
accuracy43.16160291656602
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n))))
Samples
265.0ms211×1valid
19.0ms45×0valid
Compiler

Compiled 679 to 69 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 229.0ms
ival-mult: 50.0ms (21.9% of total)
ival-sub: 34.0ms (14.9% of total)
ival-cos: 29.0ms (12.7% of total)
adjust: 26.0ms (11.4% of total)
ival-sin: 23.0ms (10.1% of total)
ival-pow2: 22.0ms (9.6% of total)
ival-add: 18.0ms (7.9% of total)
ival-div: 13.0ms (5.7% of total)
ival-neg: 6.0ms (2.6% of total)
ival-exp: 5.0ms (2.2% of total)
ival-fabs: 2.0ms (0.9% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series184.0ms (1.7%)

Memory
-30.3MiB live, 340.5MiB allocated
Counts
27 → 1 200
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)) (patch (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))) (patch (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())
#s(alt #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) #<representation binary64>) () ())
#s(alt #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l))))) (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l))))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))) (patch #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))) #<representation binary64>) () ())
#s(alt (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l))) (patch (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l))) #<representation binary64>) () ())
#s(alt #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)) (patch #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)) #<representation binary64>) () ())
#s(alt #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n))))))) (patch #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n))))))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))) (patch #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))) #<representation binary64>) () ())
#s(alt (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n))))) (patch (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n))))) #<representation binary64>) () ())
#s(alt (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))) (patch (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) (patch (*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())
#s(alt (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))) (patch (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64))) (patch #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 K n) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 K n) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))) (patch (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) (patch (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #<representation binary64>) () ())
#s(alt #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) (patch (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sin.f64 M) m) K) (patch (*.f64 (*.f64 (sin.f64 M) m) K) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n)) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n))) (patch #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/4 binary64) (*.f64 n n)) (patch (*.f64 #s(literal 1/4 binary64) (*.f64 n n)) #<representation binary64>) () ())
#s(alt #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) (patch #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)) #<representation binary64>) () ())
#s(alt (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) (patch (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) #<representation binary64>) () ())
#s(alt #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M))) (patch #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M))) #<representation binary64>) () ())
Outputs
#s(alt (cos M) (taylor 0 K) (#s(alt (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)) (patch (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)) #<representation binary64>) () ())) ())
#s(alt (+ (cos M) (* -1 (* K (* n (+ (* -1/2 (sin M)) (* -1/2 (/ (* m (sin M)) n))))))) (taylor 0 K) (#s(alt (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)) (patch (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)) #<representation binary64>) () ())) ())
#s(alt (+ (cos M) (* -1 (* K (* n (+ (* -1/2 (sin M)) (* -1/2 (/ (* m (sin M)) n))))))) (taylor 0 K) (#s(alt (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)) (patch (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)) #<representation binary64>) () ())) ())
#s(alt (+ (cos M) (* -1 (* K (* n (+ (* -1/2 (sin M)) (* -1/2 (/ (* m (sin M)) n))))))) (taylor 0 K) (#s(alt (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)) (patch (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))) (taylor 0 K) (#s(alt (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))) (taylor 0 K) (#s(alt (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))) (taylor 0 K) (#s(alt (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))) (taylor 0 K) (#s(alt (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (patch (*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))) #<representation binary64>) () ())) ())
#s(alt (cos (neg M)) (taylor 0 K) (#s(alt #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n))))) (taylor 0 K) (#s(alt #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) #<representation binary64>) () ())) ())
#s(alt (+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n)))))) (taylor 0 K) (#s(alt #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (patch #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) #<representation binary64>) () ())) ())
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Calls

15 calls:

TimeVariablePointExpression
6.0ms
n
@inf
((* (+ (* (* K -1/2) (sin M)) (/ (+ (* (* (* (sin M) m) K) 1/2) (cos M)) (neg n))) (neg n)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l))) (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l))) (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (* (* K n) 1/2) (cos (+ (* (* K n) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* K m) (sin (+ (* (* K n) 1/2) (neg M)))) -1/2) (cos (+ (* (* K n) 1/2) (neg M)))) (* (* (sin M) m) K) (/ (+ (* (* (* (sin M) m) K) 1/2) (cos M)) (neg n)) (+ (* 1/4 (pow (+ n m) 2)) l) (* 1/4 (* n n)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (sin (+ (* (* K n) 1/2) (neg M))))
6.0ms
K
@inf
((* (+ (* (* K -1/2) (sin M)) (/ (+ (* (* (* (sin M) m) K) 1/2) (cos M)) (neg n))) (neg n)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l))) (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l))) (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (* (* K n) 1/2) (cos (+ (* (* K n) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* K m) (sin (+ (* (* K n) 1/2) (neg M)))) -1/2) (cos (+ (* (* K n) 1/2) (neg M)))) (* (* (sin M) m) K) (/ (+ (* (* (* (sin M) m) K) 1/2) (cos M)) (neg n)) (+ (* 1/4 (pow (+ n m) 2)) l) (* 1/4 (* n n)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (sin (+ (* (* K n) 1/2) (neg M))))
5.0ms
m
@0
((* (+ (* (* K -1/2) (sin M)) (/ (+ (* (* (* (sin M) m) K) 1/2) (cos M)) (neg n))) (neg n)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l))) (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l))) (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (* (* K n) 1/2) (cos (+ (* (* K n) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* K m) (sin (+ (* (* K n) 1/2) (neg M)))) -1/2) (cos (+ (* (* K n) 1/2) (neg M)))) (* (* (sin M) m) K) (/ (+ (* (* (* (sin M) m) K) 1/2) (cos M)) (neg n)) (+ (* 1/4 (pow (+ n m) 2)) l) (* 1/4 (* n n)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (sin (+ (* (* K n) 1/2) (neg M))))
5.0ms
n
@0
((* (+ (* (* K -1/2) (sin M)) (/ (+ (* (* (* (sin M) m) K) 1/2) (cos M)) (neg n))) (neg n)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l))) (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l))) (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (* (* K n) 1/2) (cos (+ (* (* K n) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* K m) (sin (+ (* (* K n) 1/2) (neg M)))) -1/2) (cos (+ (* (* K n) 1/2) (neg M)))) (* (* (sin M) m) K) (/ (+ (* (* (* (sin M) m) K) 1/2) (cos M)) (neg n)) (+ (* 1/4 (pow (+ n m) 2)) l) (* 1/4 (* n n)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (sin (+ (* (* K n) 1/2) (neg M))))
4.0ms
M
@inf
((* (+ (* (* K -1/2) (sin M)) (/ (+ (* (* (* (sin M) m) K) 1/2) (cos M)) (neg n))) (neg n)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l))) (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l))) (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (- (/ (* K (+ m n)) 2) M) (* (* K n) 1/2) (cos (+ (* (* K n) 1/2) (neg M))) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (cos (- (/ (* K (+ m n)) 2) M)) (+ (* (* (* K m) (sin (+ (* (* K n) 1/2) (neg M)))) -1/2) (cos (+ (* (* K n) 1/2) (neg M)))) (* (* (sin M) m) K) (/ (+ (* (* (* (sin M) m) K) 1/2) (cos M)) (neg n)) (+ (* 1/4 (pow (+ n m) 2)) l) (* 1/4 (* n n)) (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (sin (+ (* (* K n) 1/2) (neg M))))

simplify319.0ms (2.9%)

Memory
20.9MiB live, 503.9MiB allocated
Algorithm
1×egg-herbie
Rules
9 590×lower-fma.f64
9 590×lower-fma.f32
7 090×lower-+.f64
7 090×lower-+.f32
6 854×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120035106
1390033803
0860132670
Stop Event
1×iter limit
1×node limit
Counts
1 200 → 1 198
Calls
Call 1
Inputs
(cos M)
(+ (cos M) (* -1 (* K (* n (+ (* -1/2 (sin M)) (* -1/2 (/ (* m (sin M)) n)))))))
(+ (cos M) (* -1 (* K (* n (+ (* -1/2 (sin M)) (* -1/2 (/ (* m (sin M)) n)))))))
(+ (cos M) (* -1 (* K (* n (+ (* -1/2 (sin M)) (* -1/2 (/ (* m (sin M)) n)))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(* -1 M)
(- (* 1/2 (* K (+ m n))) M)
(- (* 1/2 (* K (+ m n))) M)
(- (* 1/2 (* K (+ m n))) M)
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(* 1/2 (* K n))
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* n (sin (neg M))))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (pow n 2) (cos (neg M))))) (* 1/2 (* n (sin (neg M)))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (pow n 2) (cos (neg M)))) (* 1/48 (* K (* (pow n 3) (sin (neg M))))))) (* 1/2 (* n (sin (neg M)))))))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(cos (neg M))
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(cos (neg M))
(+ (cos (neg M)) (* K (- (* -1/2 (* m (sin (neg M)))) (* 1/2 (* n (sin (neg M)))))))
(+ (cos (neg M)) (* K (- (+ (* -1/2 (* m (sin (neg M)))) (* K (+ (* -1/4 (* m (* n (cos (neg M))))) (* -1/8 (* (pow n 2) (cos (neg M))))))) (* 1/2 (* n (sin (neg M)))))))
(+ (cos (neg M)) (* K (- (+ (* -1/2 (* m (sin (neg M)))) (* K (+ (* -1/4 (* m (* n (cos (neg M))))) (+ (* -1/8 (* (pow n 2) (cos (neg M)))) (* K (- (* 1/16 (* m (* (pow n 2) (sin (neg M))))) (* -1/48 (* (pow n 3) (sin (neg M)))))))))) (* 1/2 (* n (sin (neg M)))))))
(* K (* m (sin M)))
(* K (* m (sin M)))
(* K (* m (sin M)))
(* K (* m (sin M)))
(* -1 (/ (cos M) n))
(+ (* -1 (/ (cos M) n)) (* -1/2 (/ (* K (* m (sin M))) n)))
(+ (* -1 (/ (cos M) n)) (* -1/2 (/ (* K (* m (sin M))) n)))
(+ (* -1 (/ (cos M) n)) (* -1/2 (/ (* K (* m (sin M))) n)))
(sin (neg M))
(+ (sin (neg M)) (* 1/2 (* K (* n (cos (neg M))))))
(+ (sin (neg M)) (* K (+ (* -1/8 (* K (* (pow n 2) (sin (neg M))))) (* 1/2 (* n (cos (neg M)))))))
(+ (sin (neg M)) (* K (+ (* 1/2 (* n (cos (neg M)))) (* K (+ (* -1/8 (* (pow n 2) (sin (neg M)))) (* -1/48 (* K (* (pow n 3) (cos (neg M))))))))))
(* -1 (* K (* n (+ (* -1/2 (sin M)) (* -1/2 (/ (* m (sin M)) n))))))
(* K (+ (* -1 (* n (+ (* -1/2 (sin M)) (* -1/2 (/ (* m (sin M)) n))))) (/ (cos M) K)))
(* K (+ (* -1 (* n (+ (* -1/2 (sin M)) (* -1/2 (/ (* m (sin M)) n))))) (/ (cos M) K)))
(* K (+ (* -1 (* n (+ (* -1/2 (sin M)) (* -1/2 (/ (* m (sin M)) n))))) (/ (cos M) K)))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(cos (- (* 1/2 (* K (+ m n))) M))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(* (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
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(* -1/2 (/ (* K (* m (sin M))) n))
(* -1 (* m (+ (* 1/2 (/ (* K (sin M)) n)) (/ (cos M) (* m n)))))
(* -1 (* m (+ (* 1/2 (/ (* K (sin M)) n)) (/ (cos M) (* m n)))))
(* -1 (* m (+ (* 1/2 (/ (* K (sin M)) n)) (/ (cos M) (* m n)))))
(* 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 2))
(* (pow m 2) (- (* -1 (/ (- (* 1/2 n) M) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
Outputs
(cos M)
(cos.f64 M)
(+ (cos M) (* -1 (* K (* n (+ (* -1/2 (sin M)) (* -1/2 (/ (* m (sin M)) n)))))))
(fma.f64 (neg.f64 K) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 m (/.f64 (sin.f64 M) n) (sin.f64 M))) n) (cos.f64 M))
(+ (cos M) (* -1 (* K (* n (+ (* -1/2 (sin M)) (* -1/2 (/ (* m (sin M)) n)))))))
(fma.f64 (neg.f64 K) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 m (/.f64 (sin.f64 M) n) (sin.f64 M))) n) (cos.f64 M))
(+ (cos M) (* -1 (* K (* n (+ (* -1/2 (sin M)) (* -1/2 (/ (* m (sin M)) n)))))))
(fma.f64 (neg.f64 K) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 m (/.f64 (sin.f64 M) n) (sin.f64 M))) n) (cos.f64 M))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (*.f64 (pow.f64 (+.f64 m n) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (cos.f64 M)) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 M)) (*.f64 (pow.f64 (+.f64 m n) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (*.f64 (pow.f64 (+.f64 m n) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(cos (neg M))
(cos.f64 M)
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)) (cos.f64 M))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (pow.f64 (+.f64 m n) #s(literal 2 binary64)) (cos.f64 M)) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)) #s(literal -1/2 binary64))) K (cos.f64 M))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 M)) (pow.f64 (+.f64 m n) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (pow.f64 (+.f64 m n) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))))) K (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)) #s(literal -1/2 binary64))) K (cos.f64 M))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (*.f64 (pow.f64 (+.f64 m n) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (cos.f64 M)) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 M)) (*.f64 (pow.f64 (+.f64 m n) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (*.f64 (pow.f64 (+.f64 m n) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (*.f64 (pow.f64 (+.f64 m n) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (cos.f64 M)) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 M)) (*.f64 (pow.f64 (+.f64 m n) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (*.f64 (pow.f64 (+.f64 m n) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))
(+ (* -1/2 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* -1/8 (* K (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (*.f64 (pow.f64 (+.f64 m n) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (cos.f64 M)) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(+ (* K (+ (* -1/2 (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (+ m n)))) (* K (+ (* -1/8 (* (cos (neg M)) (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (pow (+ m n) 2)))) (* 1/48 (* K (* (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2)))) (* (sin (neg M)) (pow (+ m n) 3))))))))) (* (cos (neg M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 (+ m n)) M) 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 M)) (*.f64 (pow.f64 (+.f64 m n) #s(literal 2 binary64)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) (*.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (*.f64 (pow.f64 (+.f64 m n) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))))) K (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))) #s(literal -1/2 binary64))) K (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(cos (neg M))
(cos.f64 M)
(+ (cos (neg M)) (* -1/2 (* K (* (sin (neg M)) (+ m n)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)) (cos.f64 M))
(+ (cos (neg M)) (* K (- (* -1/8 (* K (* (cos (neg M)) (pow (+ m n) 2)))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (*.f64 (pow.f64 (+.f64 m n) #s(literal 2 binary64)) (cos.f64 M)) (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)) #s(literal -1/2 binary64))) K (cos.f64 M))
(+ (cos (neg M)) (* K (- (* K (+ (* -1/8 (* (cos (neg M)) (pow (+ m n) 2))) (* 1/48 (* K (* (sin (neg M)) (pow (+ m n) 3)))))) (* 1/2 (* (sin (neg M)) (+ m n))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 M)) (pow.f64 (+.f64 m n) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/48 binary64) K) (*.f64 (pow.f64 (+.f64 m n) #s(literal 3 binary64)) (neg.f64 (sin.f64 M))))) K (*.f64 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)) #s(literal -1/2 binary64))) K (cos.f64 M))
(* -1 M)
(neg.f64 M)
(- (* 1/2 (* K (+ m n))) M)
(fma.f64 (*.f64 (+.f64 m n) K) #s(literal 1/2 binary64) (neg.f64 M))
(- (* 1/2 (* K (+ m n))) M)
(fma.f64 (*.f64 (+.f64 m n) K) #s(literal 1/2 binary64) (neg.f64 M))
(- (* 1/2 (* K (+ m n))) M)
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(cos (- (* 1/2 (* K n)) M))
(cos.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))
(+ (cos (- (* 1/2 (* K n)) M)) (* -1/2 (* K (* m (sin (- (* 1/2 (* K n)) M))))))
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(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
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(* (cos (- (* 1/2 (* K n)) M)) (exp (- (fabs (- m n)) (+ l (pow (- (* 1/2 n) M) 2)))))
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(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (neg.f64 m)) #s(literal 1/4 binary64)) (*.f64 m m))
(* (pow m 2) (- (* -1 (/ (- (* -1 (/ (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 n) M) 2))) m)) (* -1 (- (* 1/2 n) M))) m)) 1/4))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l)) (neg.f64 m)) (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M))) (neg.f64 m)) #s(literal 1/4 binary64)) (*.f64 m m))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))
(exp (- (fabs (neg (+ n (* -1 m)))) (+ l (pow (- (* 1/2 (- n (* -1 m))) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)))

rewrite182.0ms (1.7%)

Memory
20.9MiB live, 284.5MiB allocated
Rules
4 860×lower-fma.f32
4 852×lower-fma.f64
4 334×lower-*.f32
4 308×lower-*.f64
2 976×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100752
0146748
1513738
23961738
08245729
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 212
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 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))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))
#s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l))))
(exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))
#s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))))
#s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n))))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))
(-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n))))
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64))))
#s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))
(*.f64 (*.f64 K n) #s(literal 1/2 binary64))
(cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))))
(fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))
(*.f64 (*.f64 (sin.f64 M) m) K)
(/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))
#s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))
(*.f64 #s(literal 1/4 binary64) (*.f64 n n))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n))) #s(literal -1 binary64)) n)
(*.f64 (neg.f64 (fma.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n)))) n)
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n))) n))
(*.f64 (fma.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n))) (neg.f64 n))
(*.f64 (neg.f64 n) (fma.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 M) K) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) n) #s(literal 2 binary64))) (neg.f64 n)) (-.f64 (*.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 M) K) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 (neg.f64 n) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M))) #s(literal -3 binary64))) (neg.f64 n)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n)) (*.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (*.f64 (sin.f64 M) K) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (neg.f64 n) (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 M) K) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) n) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n))))
(/.f64 (*.f64 (neg.f64 n) (fma.f64 (pow.f64 (*.f64 (sin.f64 M) K) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (/.f64 (neg.f64 n) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M))) #s(literal -3 binary64)))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n)) (*.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (*.f64 (sin.f64 M) K) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n))) n))
(fma.f64 (*.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64)) (neg.f64 n) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n)) (neg.f64 n)))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n)) (neg.f64 n) (*.f64 (*.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64)) (neg.f64 n)))
(fma.f64 (neg.f64 n) (*.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64)) (*.f64 (neg.f64 n) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n))))
(fma.f64 (neg.f64 n) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n)) (*.f64 (neg.f64 n) (*.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n))) n))
(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64)) (neg.f64 n)) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n)) (neg.f64 n)))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n)) (neg.f64 n)) (*.f64 (*.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64)) (neg.f64 n)))
(+.f64 (*.f64 (neg.f64 n) (*.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64))) (*.f64 (neg.f64 n) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n))))
(+.f64 (*.f64 (neg.f64 n) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) (neg.f64 n))) (*.f64 (neg.f64 n) (*.f64 (*.f64 (sin.f64 M) K) #s(literal -1/2 binary64))))
(*.f64 (-.f64 (pow.f64 (-.f64 n m) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64))) l) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 4 binary64)) (pow.f64 (-.f64 l (fabs.f64 (-.f64 n m))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) (-.f64 l (fabs.f64 (-.f64 n m)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (fabs.f64 (-.f64 n m)) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l) (+.f64 (+.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64))) l) (pow.f64 (-.f64 n m) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 6 binary64)) (pow.f64 (-.f64 l (fabs.f64 (-.f64 n m))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 l (fabs.f64 (-.f64 n m))) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) (-.f64 l (fabs.f64 (-.f64 n m)))) (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64))) l) (-.f64 (pow.f64 (-.f64 n m) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l) (+.f64 (+.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64))) l) (pow.f64 (-.f64 n m) #s(literal 2 binary64))) (-.f64 (pow.f64 (fabs.f64 (-.f64 n m)) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) (-.f64 l (fabs.f64 (-.f64 n m)))) (-.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 4 binary64)) (pow.f64 (-.f64 l (fabs.f64 (-.f64 n m))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 l (fabs.f64 (-.f64 n m))) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) (-.f64 l (fabs.f64 (-.f64 n m)))) (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 6 binary64)) (pow.f64 (-.f64 l (fabs.f64 (-.f64 n m))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 l l)) (+.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64))) l))
(/.f64 (-.f64 (pow.f64 (-.f64 n m) #s(literal 2 binary64)) (pow.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l)) #s(literal 2 binary64))) (-.f64 (fabs.f64 (-.f64 n m)) (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 n m) #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)) l))))
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(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)) n))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 n) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m (sin.f64 M))) K (cos.f64 M)))) #s(literal -1 binary64)))
#s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 (*.f64 n n) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) n) n)
(*.f64 (*.f64 n n) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 n n))
(*.f64 n (*.f64 #s(literal 1/4 binary64) n))
#s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))
(exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))
#s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))

eval239.0ms (2.2%)

Memory
-11.7MiB live, 423.0MiB allocated
Compiler

Compiled 57 816 to 1 950 computations (96.6% saved)

prune128.0ms (1.2%)

Memory
14.2MiB live, 327.3MiB allocated
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New1 50351 508
Fresh268
Picked235
Done011
Total1 507151 522
Accuracy
97.6%
Counts
1 522 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.7%
(*.f64 (cos.f64 (-.f64 (/.f64 (/.f64 #s(approx (* (* (+ n m) (- n m)) K) (*.f64 (*.f64 n n) K)) (-.f64 n m)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
16.4%
(*.f64 (cos.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 n m) K))) #s(literal -1 binary64))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
36.4%
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
✓35.7%
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
32.8%
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) #s(approx (cos (+ (* (* K n) 1/2) (neg M))) (cos.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64)))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
57.0%
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
✓40.1%
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
84.8%
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) #s(approx (/ (+ (* (* (* (sin M) m) K) 1/2) (cos M)) (neg n)) (/.f64 #s(literal -1 binary64) n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
76.2%
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) #s(approx (* (+ (* (* K -1/2) (sin M)) (/ (+ (* (* (* (sin M) m) K) 1/2) (cos M)) (neg n))) (neg n)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) (sin.f64 M) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) K) (sin.f64 M) (/.f64 (cos.f64 M) (neg.f64 n))) (neg.f64 n)) 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))))))
29.5%
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* K m) (sin (+ (* (* K n) 1/2) (neg M)))) -1/2) (cos (+ (* (* K n) 1/2) (neg M)))) (*.f64 (*.f64 (*.f64 m K) (sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
65.6%
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l) (fabs.f64 (-.f64 n m))))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)))))
✓51.3%
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))))
57.8%
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 (*.f64 m m) #s(literal -1/4 binary64))))))
55.1%
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 #s(literal -1/4 binary64) (*.f64 n n))))))
✓40.1%
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))
Compiler

Compiled 1 227 to 434 computations (64.6% saved)

regimes73.0ms (0.7%)

Memory
-12.0MiB live, 188.2MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 #s(literal -1/4 binary64) (*.f64 n n))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 (*.f64 m m) #s(literal -1/4 binary64))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))) (cos.f64 M)))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (*.f64 m m) #s(literal -1/4 binary64)))) (cos.f64 M)))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))))
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K m) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* K m) (sin (+ (* (* K n) 1/2) (neg M)))) -1/2) (cos (+ (* (* K n) 1/2) (neg M)))) (*.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* K m) (sin (+ (* (* K n) 1/2) (neg M)))) -1/2) (cos (+ (* (* K n) 1/2) (neg M)))) (*.f64 (*.f64 (*.f64 m K) (sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 m m) #s(literal -1/4 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 #s(approx (pow (- (/ (+ m n) 2) M) 2) (*.f64 M M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (/.f64 #s(approx (* (* (+ n m) (- n m)) K) (*.f64 (*.f64 n n) K)) (-.f64 n m)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 #s(approx (pow (- (/ (+ m n) 2) M) 2) (*.f64 (*.f64 n n) #s(literal 1/4 binary64)))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) M) K) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) #s(approx (cos (+ (* (* K n) 1/2) (neg M))) (cos.f64 (*.f64 (*.f64 n K) #s(literal 1/2 binary64)))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) #s(approx (sin (+ (* (* K n) 1/2) (neg M))) (neg.f64 (sin.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) n (neg.f64 M)) #s(literal 2 binary64)) l) (fabs.f64 (-.f64 n m))))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M)))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64) (cos.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M))))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) #s(approx (/ (+ (* (* (* (sin M) m) K) 1/2) (cos M)) (neg n)) (/.f64 #s(literal -1 binary64) n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 m n)) K) (-.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 n m) K))) #s(literal -1 binary64))) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) M) #s(literal 2 binary64)))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)) M))) (exp.f64 (-.f64 l (fabs.f64 (-.f64 n m)))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) #s(literal -1/2 binary64)) K) (neg.f64 (sin.f64 M)) (cos.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (fma.f64 (*.f64 (*.f64 m #s(literal -1/2 binary64)) K) (sin.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M))) (cos.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) n (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (*.f64 (fma.f64 (*.f64 K #s(literal -1/2 binary64)) (sin.f64 M) (/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 M) m) K) #s(literal 1/2 binary64) (cos.f64 M)) (neg.f64 n))) (neg.f64 n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 m #s(literal 3 binary64))) K) (fma.f64 n (-.f64 n m) (*.f64 m m))) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) #s(approx (* (+ (* (* K -1/2) (sin M)) (/ (+ (* (* (* (sin M) m) K) 1/2) (cos M)) (neg n))) (neg n)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) K) (sin.f64 M) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) K) (sin.f64 M) (/.f64 (cos.f64 M) (neg.f64 n))) (neg.f64 n)) 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))))))
Outputs
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M)))
Calls

6 calls:

13.0ms
l
12.0ms
m
12.0ms
n
12.0ms
K
11.0ms
M
Results
AccuracySegmentsBranch
94.2%1K
94.2%1m
94.2%1n
94.2%1M
94.2%1l
96.2%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 64 to 46 computations (28.1% saved)

regimes71.0ms (0.6%)

Memory
0.7MiB live, 94.6MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 #s(literal -1/4 binary64) (*.f64 n n))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 (*.f64 m m) #s(literal -1/4 binary64))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))) (cos.f64 M)))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (*.f64 m m) #s(literal -1/4 binary64)))) (cos.f64 M)))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))))
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K m) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* K m) (sin (+ (* (* K n) 1/2) (neg M)))) -1/2) (cos (+ (* (* K n) 1/2) (neg M)))) (*.f64 (*.f64 (*.f64 K m) (sin.f64 (fma.f64 (*.f64 K n) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* K m) (sin (+ (* (* K n) 1/2) (neg M)))) -1/2) (cos (+ (* (* K n) 1/2) (neg M)))) (*.f64 (*.f64 (*.f64 m K) (sin.f64 (fma.f64 (*.f64 n K) #s(literal 1/2 binary64) (neg.f64 M)))) #s(literal -1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 m m) #s(literal -1/4 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 #s(approx (pow (- (/ (+ m n) 2) M) 2) (*.f64 M M))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (/.f64 #s(approx (* (* (+ n m) (- n m)) K) (*.f64 (*.f64 n n) K)) (-.f64 n m)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 #s(approx (pow (- (/ (+ m n) 2) M) 2) (*.f64 (*.f64 n n) #s(literal 1/4 binary64)))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 n m) (-.f64 n m)) K) (-.f64 n m)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) #s(approx (+ (* (* (* (+ n m) -1/2) K) (neg (sin M))) (cos M)) (fma.f64 (*.f64 (*.f64 (+.f64 n m) M) K) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
Outputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))) (cos.f64 M)))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))) (cos.f64 M)))
Calls

6 calls:

23.0ms
M
19.0ms
m
7.0ms
K
7.0ms
l
7.0ms
n
Results
AccuracySegmentsBranch
88.1%1K
88.1%1m
88.1%1n
94.2%3M
88.1%1l
90.1%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 64 to 46 computations (28.1% saved)

regimes30.0ms (0.3%)

Memory
-1.0MiB live, 75.3MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 #s(literal -1/4 binary64) (*.f64 n n))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 (*.f64 m m) #s(literal -1/4 binary64))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))) (cos.f64 M)))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (*.f64 m m) #s(literal -1/4 binary64)))) (cos.f64 M)))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))))
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K m) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K n) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 m K) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
Outputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 (*.f64 m m) #s(literal -1/4 binary64))))))
(*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K m) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))))
Calls

6 calls:

6.0ms
(*.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))))))
5.0ms
n
4.0ms
m
4.0ms
l
4.0ms
K
Results
AccuracySegmentsBranch
61.9%3K
81.2%2n
84.3%3m
77.5%4l
63.3%4(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
80.1%3M
Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes4.0ms (0%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 #s(literal -1/4 binary64) (*.f64 n n))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 (*.f64 m m) #s(literal -1/4 binary64))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))) (cos.f64 M)))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (neg.f64 M) M))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (*.f64 m m) #s(literal -1/4 binary64)))) (cos.f64 M)))
(*.f64 #s(approx (cos (- (/ (* K (+ m n)) 2) M)) (cos.f64 M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (*.f64 (*.f64 n n) #s(literal -1/4 binary64)))))
Outputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 (*.f64 m m) #s(literal -1/4 binary64))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))))
Calls

1 calls:

3.0ms
m
Results
AccuracySegmentsBranch
82.1%2m
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes2.0ms (0%)

Memory
6.6MiB live, 6.6MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 #s(literal -1/4 binary64) (*.f64 n n))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 (*.f64 m m) #s(literal -1/4 binary64))))))
Outputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 (*.f64 m m) #s(literal -1/4 binary64))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 #s(literal -1/4 binary64) (*.f64 n n))))))
Calls

1 calls:

2.0ms
m
Results
AccuracySegmentsBranch
83.1%3m
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes9.0ms (0.1%)

Memory
-27.2MiB live, 15.0MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 #s(literal -1/4 binary64) (*.f64 n n))))))
Outputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 #s(literal -1/4 binary64) (*.f64 n n))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 #s(literal -1/4 binary64) (*.f64 n n))))))
Calls

4 calls:

4.0ms
m
2.0ms
l
2.0ms
M
2.0ms
n
Results
AccuracySegmentsBranch
67.2%2l
55.1%1M
69.4%3n
55.1%1m
Compiler

Compiled 24 to 20 computations (16.7% saved)

regimes8.0ms (0.1%)

Memory
20.7MiB live, 20.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))
Outputs
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))
Calls

6 calls:

1.0ms
m
1.0ms
n
1.0ms
K
1.0ms
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
1.0ms
M
Results
AccuracySegmentsBranch
40.1%1m
40.1%1M
40.1%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))))))
40.1%1K
40.1%1l
40.1%1n
Compiler

Compiled 64 to 46 computations (28.1% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.6608634370880683
-0.29830141789871056
Compiler

Compiled 37 to 29 computations (21.6% saved)

bsearch39.0ms (0.4%)

Memory
-11.1MiB live, 66.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
25.0ms
1.7401105401777324e-5
293.7860130790562
9.0ms
-5.8977596428519147e+51
-9.247530221888187e+46
Samples
22.0ms180×0valid
3.0ms12×1valid
Compiler

Compiled 493 to 341 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sub: 5.0ms (26.2% of total)
ival-div: 3.0ms (15.7% of total)
ival-mult: 2.0ms (10.5% of total)
ival-pow2: 2.0ms (10.5% of total)
ival-cos: 2.0ms (10.5% of total)
adjust: 1.0ms (5.2% of total)
ival-exp: 1.0ms (5.2% of total)
ival-neg: 1.0ms (5.2% of total)
ival-add: 1.0ms (5.2% of total)
ival-fabs: 1.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch51.0ms (0.5%)

Memory
4.9MiB live, 85.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
-7.418280820275837e-113
-2.1436411911958386e-114
23.0ms
-1624135440.83292
-3334004.4766377136
Samples
25.0ms209×0valid
10.0ms31×1valid
Compiler

Compiled 567 to 395 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-sub: 5.0ms (19.7% of total)
ival-cos: 4.0ms (15.7% of total)
ival-div: 3.0ms (11.8% of total)
ival-mult: 3.0ms (11.8% of total)
ival-exp: 2.0ms (7.9% of total)
ival-pow2: 2.0ms (7.9% of total)
ival-add: 1.0ms (3.9% 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)

bsearch1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-1624135440.83292
-3334004.4766377136
Compiler

Compiled 317 to 213 computations (32.8% saved)

bsearch16.0ms (0.1%)

Memory
-13.4MiB live, 25.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-1.5254013720990367e-54
-8.516256069872777e-55
1.0ms
-1624135440.83292
-3334004.4766377136
Samples
8.0ms53×0valid
3.0ms11×1valid
Compiler

Compiled 361 to 245 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 3.0ms (34.8% of total)
ival-sub: 2.0ms (23.2% of total)
ival-mult: 1.0ms (11.6% of total)
ival-pow2: 1.0ms (11.6% of total)
ival-cos: 1.0ms (11.6% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-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)

bsearch36.0ms (0.3%)

Memory
23.5MiB live, 62.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
22.246923990570668
27.166922339115832
24.0ms
-0.0015693170288807793
-1.798492188702065e-6
Samples
18.0ms151×0valid
7.0ms25×1valid
Compiler

Compiled 334 to 227 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sub: 4.0ms (20.9% of total)
ival-pow2: 3.0ms (15.7% of total)
ival-div: 2.0ms (10.4% of total)
ival-mult: 2.0ms (10.4% of total)
ival-cos: 2.0ms (10.4% of total)
adjust: 1.0ms (5.2% of total)
ival-exp: 1.0ms (5.2% of total)
ival-neg: 1.0ms (5.2% of total)
ival-add: 1.0ms (5.2% of total)
ival-fabs: 1.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify74.0ms (0.7%)

Memory
-24.6MiB live, 92.4MiB allocated
Algorithm
1×egg-herbie
Rules
664×unsub-neg-binary64--.f64-neg.f64-+.f64
380×neg-mul-1-binary64-*.f64-neg.f64
310×distribute-lft-neg-in-binary64-*.f64-neg.f64
208×distribute-neg-out-binary64-neg.f64-+.f64
192×cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01301160
11711160
22081160
32441159
42891159
53221159
63951159
76941159
810401159
910651159
1011281159
1112191159
1213461159
1314761159
1415621159
1516541159
1616761159
1717091159
Stop Event
1×saturated
Calls
Call 1
Inputs
(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 -1/2 binary64)) (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))))
(if (<=.f64 M #s(literal -1000000000000000043845843045076197354634047651840 binary64)) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))) (cos.f64 M))) (if (<=.f64 M #s(literal 27 binary64)) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 n m) #s(literal 2 binary64)) l))))) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 #s(approx (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l)) (*.f64 (neg.f64 M) M))) (cos.f64 M)))))
(if (<=.f64 m #s(literal -3400000 binary64)) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 (*.f64 m m) #s(literal -1/4 binary64)))))) (if (<=.f64 m #s(literal -4765526036770151/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (*.f64 (cos.f64 #s(approx (- (/ (* K (+ m n)) 2) M) (*.f64 (*.f64 K m) #s(literal 1/2 binary64)))) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n)))))))))
(if (<=.f64 m #s(literal -3400000 binary64)) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 (*.f64 m m) #s(literal -1/4 binary64)))))) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) #s(approx (+ (* 1/4 (pow (+ n m) 2)) l) (*.f64 #s(literal 1/4 binary64) (*.f64 n n))))))))
(if (<=.f64 m #s(literal -3400000 binary64)) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 (*.f64 m m) #s(literal -1/4 binary64)))))) (if (<=.f64 m #s(literal -1811708416032523/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l))))) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 #s(literal -1/4 binary64) (*.f64 n n))))))))
(if (<=.f64 n #s(literal -7148113328562451/4611686018427387904 binary64)) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 #s(literal -1/4 binary64) (*.f64 n n)))))) (if (<=.f64 n #s(literal 27 binary64)) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l))))) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (*.f64 #s(literal -1/4 binary64) (*.f64 n n))))))))
#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))
Outputs
(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 -1/2 binary64)) (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l)))) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))) (cos.f64 M))))
(if (<=.f64 (*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64)))) (cos.f64 (-.f64 (/.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64)) M))) #s(literal -1/2 binary64)) (*.f64 (exp.f64 #s(approx (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) (neg.f64 l))) (cos.f64 (-.f64 (/.f64 (*.f64 (+.f64 n m) K) #s(literal 2 binary64)) M))) #s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 n m) (neg.f64 M)) #s(literal 2 binary64)) l))))))
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#s(approx (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) #s(approx (* (exp (- (fabs (- m n)) (+ (pow (+ (* 1/2 (+ n m)) (neg M)) 2) l))) (cos M)) (exp.f64 #s(approx (- (fabs (- m n)) (+ (* 1/4 (pow (+ n m) 2)) l)) (neg.f64 l)))))

soundness551.0ms (5%)

Memory
23.7MiB live, 369.3MiB allocated
Rules
11 370×lower-fma.f64
11 370×lower-fma.f32
9 512×lower-fma.f64
9 512×lower-fma.f32
8 350×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116332070
1375630878
0813329892
0119735410
1390434047
0814932711
06226794
119516580
266806580
081336357
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 485 to 294 computations (39.4% saved)

preprocess97.0ms (0.9%)

Memory
-3.1MiB live, 113.8MiB allocated
Remove

(sort m n)

Compiler

Compiled 724 to 270 computations (62.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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