Maksimov and Kolovsky, Equation (3)

Time bar (total: 5.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze322.0ms (5.7%)

Memory
12.4MiB live, 430.8MiB allocated; 43ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
37.5%37.4%62.4%0.1%0%0%0%7
43.8%43.7%56.2%0.1%0%0%0%8
43.8%43.7%56.2%0.1%0%0%0%9
43.8%43.7%56.2%0.1%0%0%0%10
46.9%46.8%53%0.1%0%0%0%11
46.9%46.8%53%0.1%0%0%0%12
Compiler

Compiled 26 to 19 computations (26.9% saved)

sample2.1s (36.6%)

Memory
-144.4MiB live, 2 444.8MiB allocated; 1.2s collecting garbage
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 357.0ms (34.6% of total)
ival-div: 209.0ms (20.3% of total)
ival-cos: 208.0ms (20.2% of total)
ival-sqrt: 108.0ms (10.5% of total)
ival-pow2: 84.0ms (8.1% of total)
ival-add: 43.0ms (4.2% of total)
exact: 16.0ms (1.6% of total)
adjust: 3.0ms (0.3% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain257.0ms (4.5%)

Memory
20.5MiB live, 344.8MiB allocated; 44ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
500-0-(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
330-0-(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
00-0-(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
00-0-K
00-0-(/.f64 K #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
0130(-7.446447982664374e-236 7.849451567426506e+174 4.489311866649436e+151)0-(cos.f64 (/.f64 K #s(literal 2 binary64)))
00-0-(*.f64 #s(literal 2 binary64) J)
00-0-U
00-0-(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
00-0-(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
00-0-(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
00-0-J
00-0-(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
00-0-#s(literal 2 binary64)
00-0-#s(literal -2 binary64)
00-0-(*.f64 #s(literal -2 binary64) J)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (/.f64 K #s(literal 2 binary64)))sensitivity1300
sqrt.f64(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))oflow-rescue500
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))overflow33
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))overflow33
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))overflow83
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))overflow83
*.f64(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))n*o330
Confusion
Predicted +Predicted -
+830
-9182
Precision
0.47701149425287354
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+8300
-91082
Precision?
0.47701149425287354
Recall?
1.0
Freqs
test
numberfreq
082
1135
239
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
72.0ms512×0valid
Compiler

Compiled 248 to 55 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 19.0ms (37.8% of total)
ival-cos: 11.0ms (21.9% of total)
ival-div: 7.0ms (13.9% of total)
ival-pow2: 5.0ms (10% of total)
ival-sqrt: 3.0ms (6% of total)
ival-add: 2.0ms (4% of total)
exact: 1.0ms (2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess151.0ms (2.7%)

Memory
-1.8MiB live, 188.3MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075246
1206240
2634240
32468240
47900240
01724
02824
15224
212424
339724
4195424
5791424
0803024
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64)))) J)
Symmetry

(abs K)

(abs U)

(negabs J)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

series64.0ms (1.1%)

Memory
-8.4MiB live, 88.4MiB allocated; 11ms collecting garbage
Counts
17 → 88
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx J #s(hole binary64 J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (pow J 2)) (pow J 2))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (* 2 (* J (cos (* 1/2 K))))))
#s(approx (* 2 J) #s(hole binary64 (* 2 J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 J)))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 1))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (/ K 2) #s(hole binary64 (* 1/2 K)))
#s(approx K #s(hole binary64 K))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (* 2 J)))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -1/4 (* J (pow K 2))) (* 2 J))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
#s(approx U #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))))
Calls

9 calls:

TimeVariablePointExpression
17.0ms
J
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J))
7.0ms
K
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J))
7.0ms
K
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J))
6.0ms
J
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J))
6.0ms
U
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J))

rewrite211.0ms (3.7%)

Memory
36.9MiB live, 210.7MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05254670
05434353
130744183
086064014
Stop Event
iter limit
node limit
iter limit
Counts
105 → 163
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx J #s(hole binary64 J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (pow J 2)) (pow J 2))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (* 2 (* J (cos (* 1/2 K))))))
#s(approx (* 2 J) #s(hole binary64 (* 2 J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 J)))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 1))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (/ K 2) #s(hole binary64 (* 1/2 K)))
#s(approx K #s(hole binary64 K))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (* 2 J)))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -1/4 (* J (pow K 2))) (* 2 J))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
#s(approx U #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))))
Outputs
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (/.f64 K #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 K)) #s(literal 2 binary64))
(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(pow.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))))))
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#s(literal 1 binary64)
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U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
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(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
(+.f64 J J)
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#s(approx (* -2 J) (*.f64 J #s(literal -2 binary64)))
#s(approx J J)
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (*.f64 K K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal -1/256 binary64) (*.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (*.f64 U U) J)) (fma.f64 (*.f64 J (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (pow.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))))) (*.f64 K K) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J)) (pow.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/46080 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) J)) (pow.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/12288 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))) (*.f64 K K) (fma.f64 #s(literal -1/256 binary64) (*.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (*.f64 U U) J)) (fma.f64 (*.f64 J (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (pow.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #s(literal -2 binary64))) (*.f64 K K) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 J #s(literal -2 binary64))))
#s(approx (cos (/ K 2)) #s(literal 1 binary64))
#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) (pow.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (pow.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 J J))) (pow.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (*.f64 K K) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (pow.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) (*.f64 K K)) (pow.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (*.f64 K K) (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 J J))) (pow.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (*.f64 K K) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 K K) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)))) (*.f64 K K) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 K K) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 K K) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)))) (*.f64 K K) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 K K) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 (/.f64 (*.f64 (*.f64 K K) U) J) #s(literal 1/16 binary64) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 K K)) (*.f64 (/.f64 U J) #s(literal -5/384 binary64)) (*.f64 (/.f64 U J) #s(literal 1/16 binary64))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 U J) #s(literal -1/46080 binary64) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 (*.f64 (/.f64 U J) #s(literal -5/384 binary64)) #s(literal 1/8 binary64)))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal -5/384 binary64)))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal 1/16 binary64))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))
#s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/192 binary64) J)) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64))) #s(literal 1/1024 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -4 binary64)))) (*.f64 U U) (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx U U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 J J) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (*.f64 J J) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 2 binary64))) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 J J) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 2 binary64))) #s(literal -2 binary64)))) #s(literal 1 binary64)) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))) U))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) #s(literal 2 binary64)) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (*.f64 J J) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (*.f64 (*.f64 J J) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 2 binary64))) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 J J) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 2 binary64))) #s(literal -2 binary64)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))))))

eval31.0ms (0.5%)

Memory
-23.8MiB live, 64.1MiB allocated; 12ms collecting garbage
Compiler

Compiled 7 708 to 960 computations (87.5% saved)

prune14.0ms (0.3%)

Memory
34.7MiB live, 34.7MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New17412186
Fresh000
Picked101
Done000
Total17512187
Accuracy
99.9%
Counts
187 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
69.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
62.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
54.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
47.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))) #s(literal 1 binary64))))
83.8%
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
34.1%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
47.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
30.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
48.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
40.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
15.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 810 to 582 computations (28.1% saved)

series329.0ms (5.8%)

Memory
-2.7MiB live, 386.1MiB allocated; 70ms collecting garbage
Counts
36 → 245
Calls
Call 1
Inputs
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(*.f64 #s(literal 2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
(*.f64 J J)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))
(pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))
(/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))
Outputs
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) #s(hole binary64 (* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/720 (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (pow U 2))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))) (pow U 2))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/720 (/ (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (* (pow U 6) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))))))))
#s(approx (* J -2) #s(hole binary64 (* -2 J)))
#s(approx J #s(hole binary64 J))
#s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) #s(hole binary64 (* 1/2 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))
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#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))))
Calls

9 calls:

TimeVariablePointExpression
99.0ms
U
@inf
((* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* J -2) J -2 (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ U (* 2 J)) U (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))))
59.0ms
K
@inf
((* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* J -2) J -2 (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ U (* 2 J)) U (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))))
36.0ms
J
@0
((* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* J -2) J -2 (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ U (* 2 J)) U (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))))
33.0ms
K
@0
((* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* J -2) J -2 (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ U (* 2 J)) U (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))))
30.0ms
K
@-inf
((* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* J -2) J -2 (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ U (* 2 J)) U (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))))

rewrite259.0ms (4.6%)

Memory
13.1MiB live, 380.6MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0164740017
0169038892
0804537554
Stop Event
iter limit
node limit
iter limit
Counts
281 → 314
Calls
Call 1
Inputs
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(*.f64 #s(literal 2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
(*.f64 J J)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))
(pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))
(/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) #s(hole binary64 (* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/720 (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (pow U 2))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))) (pow U 2))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/720 (/ (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (* (pow U 6) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))))))))
#s(approx (* J -2) #s(hole binary64 (* -2 J)))
#s(approx J #s(hole binary64 J))
#s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) #s(hole binary64 (* 1/2 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))
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#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))))
Outputs
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(sin.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(/.f64 (+.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (exp.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(log.f64 (+.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J))) (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 #s(literal 2 binary64) J)))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(*.f64 #s(literal 2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 U J) (/.f64 U J))
(/.f64 (neg.f64 (*.f64 U U)) (neg.f64 (*.f64 J J)))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 (pow.f64 U #s(literal 1 binary64)) (pow.f64 U #s(literal 1 binary64)))
(*.f64 (neg.f64 U) (neg.f64 U))
(*.f64 (fabs.f64 U) (fabs.f64 U))
(*.f64 U U)
(pow.f64 U #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 U) #s(literal 2 binary64)))
(*.f64 (pow.f64 J #s(literal 1 binary64)) (pow.f64 J #s(literal 1 binary64)))
(*.f64 (neg.f64 J) (neg.f64 J))
(*.f64 (fabs.f64 J) (fabs.f64 J))
(*.f64 J J)
(pow.f64 J #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64)))
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(pow.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))
(*.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))))
(pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 U) (neg.f64 #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))))
(/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 J (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 J J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 J (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 J J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))))))))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 J (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 J J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/720 binary64) (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (*.f64 U U)) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))) (*.f64 U U)) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (*.f64 (pow.f64 U #s(literal 6 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))))))))))))))))
#s(approx (* J -2) (*.f64 #s(literal -2 binary64) J))
#s(approx J J)
#s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))
#s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))))))
#s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))))))))))
#s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 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binary64)))))) (*.f64 U U)) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))) (*.f64 U U)) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (*.f64 (pow.f64 U #s(literal 6 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))))))))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))
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#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J J) (-.f64 (*.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J J) (-.f64 (*.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/720 binary64) (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (*.f64 U U)) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))) (*.f64 U U)) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal -24 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#s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 J J) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 J J) (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))))))) (*.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)))))))
#s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (/ U (* 2 J)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
#s(approx (* 2 J) (*.f64 #s(literal 2 binary64) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U) (*.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 3 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 (*.f64 J J) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -1 binary64)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 U #s(literal -3 binary64)))) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -1 binary64)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 3 binary64))) (pow.f64 U #s(literal -1 binary64))))) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64)))) (pow.f64 U #s(literal -3 binary64))) (pow.f64 U #s(literal -1 binary64))))) J))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 U U) (*.f64 J J)) (*.f64 J J)))
#s(approx (/ (* U U) (* J J)) (*.f64 (/.f64 U J) (/.f64 U J)))
#s(approx (* J J) (*.f64 J J))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* -2 J) (*.f64 #s(literal -2 binary64) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 3 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 5 binary64))))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))) J))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 J J)) (*.f64 J J)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
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(/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 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#s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (pow.f64 J #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
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#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(literal 1 binary64))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))
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#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 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(cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (pow.f64 J #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))) J))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J)))) J))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) (pow.f64 J #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))))) #s(literal 2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))))) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (pow.f64 J #s(literal 3 binary64))))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 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(pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) J)) (pow.f64 J #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
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#s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) 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#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (pow.f64 J #s(literal 3 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 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#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))) J)))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) J) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) J) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))))) J) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 J (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal -1 binary64)))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/16 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))))))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal -1 binary64))))))))
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#s(approx (cos (/ K 2)) #s(literal 1 binary64))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
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#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
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#s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
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#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) J (*.f64 #s(literal 1/23040 binary64) (*.f64 J (*.f64 K K)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 K U) #s(literal 2 binary64)) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 #s(literal 1/48 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))) (*.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))) (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 #s(literal 1/48 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))) (*.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 #s(literal 1/192 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 #s(literal 1/48 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))) (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 #s(literal 1/48 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))) (*.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 K U) #s(literal 2 binary64)) (*.f64 J J)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 #s(literal 1/48 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 #s(literal 1/192 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 #s(literal 1/48 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 #s(literal 1/48 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 K U) #s(literal 2 binary64)) (*.f64 J J)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 #s(literal 1/48 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 #s(literal 1/192 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 #s(literal 1/48 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))) (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 #s(literal 1/48 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 K K) U) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/16 binary64) (/.f64 U J) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))))))))
#s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 #s(literal 2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) J (*.f64 #s(literal 1/192 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 #s(literal 2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/23040 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/192 binary64) J)))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal -1 binary64))))))))
#s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal -1 binary64)))))))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal -1 binary64))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (log.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (*.f64 #s(literal -1/128 binary64) (pow.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 U (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 U (fma.f64 (*.f64 U U) (fma.f64 #s(literal 3/1280 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal -1/48 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 U (fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -5/14336 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 7 binary64))) (*.f64 #s(literal 3/1280 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/48 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))))
#s(approx U U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 J #s(literal -1 binary64)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal -3 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 J #s(literal -1 binary64)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 J #s(literal -2 binary64)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 J #s(literal -4 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 J #s(literal -2 binary64)))))))
#s(approx (* U U) (*.f64 U U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))) (exp.f64 (neg.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (fma.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))) (exp.f64 (neg.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))))) (*.f64 U U)))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (fma.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))) (exp.f64 (neg.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))))))))) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))))) (*.f64 U U))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (fma.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))) (exp.f64 (neg.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))) (fma.f64 #s(literal 1/720 binary64) (fma.f64 #s(literal 240 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (fma.f64 #s(literal 720 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (*.f64 #s(literal 1440 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)))))) (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))))) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 240 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (fma.f64 #s(literal 720 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (*.f64 #s(literal 1440 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))))) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))))) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))))))))))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))))))))) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))))) (*.f64 U U)))))))
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#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal -720 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (fma.f64 #s(literal -240 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (*.f64 #s(literal 1440 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))))) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) U)
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal -1 binary64)) (/.f64 J (*.f64 U U))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal -1 binary64)) (/.f64 J (*.f64 U U)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal -1 binary64)) (/.f64 J (*.f64 U U))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U))))))))

eval116.0ms (2%)

Memory
-28.6MiB live, 123.0MiB allocated; 32ms collecting garbage
Compiler

Compiled 46 516 to 2 265 computations (95.1% saved)

prune22.0ms (0.4%)

Memory
-0.8MiB live, 45.0MiB allocated; 2ms collecting garbage
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New41715432
Fresh437
Picked415
Done000
Total42519444
Accuracy
99.9%
Counts
444 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
62.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
47.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))) #s(literal 1 binary64))))
54.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
28.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
49.2%
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
48.8%
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
28.2%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/4 binary64) J))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
28.6%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
49.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
39.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
11.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
40.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
39.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
24.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
24.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 2 binary64)))))
14.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
23.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
15.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 1 582 to 1 068 computations (32.5% saved)

series81.0ms (1.4%)

Memory
23.9MiB live, 124.6MiB allocated; 11ms collecting garbage
Counts
51 → 183
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))
(/.f64 (*.f64 J J) U)
(*.f64 J J)
(*.f64 #s(literal -1 binary64) U)
#s(literal -1 binary64)
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
(fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))
(*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))
#s(literal 1/4 binary64)
(*.f64 J (*.f64 K K))
(*.f64 K K)
(sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
Outputs
#s(approx (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (/ (* U (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K))))))
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#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (/ (* U (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K)))))
#s(approx (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (* -1 (/ (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (+ (* -1 (/ (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 4)))))))))
#s(approx (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* 1/2 K)) 5) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (+ (* -1 (/ (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 4))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
J
@inf
((* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (* -2 J) -2 J (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2)))) (sin (/ K 2)) (/ K 2) K 2 (cos (/ (PI) 2)) (/ (PI) 2) (PI) (* (cos (/ K 2)) (sin (/ (PI) 2))) (cos (/ K 2)) (sin (/ (PI) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (+ (* -2 (/ (* J J) U)) (* -1 U)) (/ (* J J) U) (* J J) (* -1 U) -1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* -2 J) (* 1/4 (* J (* K K)))) (* 1/4 (* J (* K K))) 1/4 (* J (* K K)) (* K K) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2)
12.0ms
U
@inf
((* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (* -2 J) -2 J (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2)))) (sin (/ K 2)) (/ K 2) K 2 (cos (/ (PI) 2)) (/ (PI) 2) (PI) (* (cos (/ K 2)) (sin (/ (PI) 2))) (cos (/ K 2)) (sin (/ (PI) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (+ (* -2 (/ (* J J) U)) (* -1 U)) (/ (* J J) U) (* J J) (* -1 U) -1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* -2 J) (* 1/4 (* J (* K K)))) (* 1/4 (* J (* K K))) 1/4 (* J (* K K)) (* K K) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2)
9.0ms
J
@0
((* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (* -2 J) -2 J (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2)))) (sin (/ K 2)) (/ K 2) K 2 (cos (/ (PI) 2)) (/ (PI) 2) (PI) (* (cos (/ K 2)) (sin (/ (PI) 2))) (cos (/ K 2)) (sin (/ (PI) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (+ (* -2 (/ (* J J) U)) (* -1 U)) (/ (* J J) U) (* J J) (* -1 U) -1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* -2 J) (* 1/4 (* J (* K K)))) (* 1/4 (* J (* K K))) 1/4 (* J (* K K)) (* K K) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2)
8.0ms
J
@-inf
((* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (* -2 J) -2 J (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2)))) (sin (/ K 2)) (/ K 2) K 2 (cos (/ (PI) 2)) (/ (PI) 2) (PI) (* (cos (/ K 2)) (sin (/ (PI) 2))) (cos (/ K 2)) (sin (/ (PI) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (+ (* -2 (/ (* J J) U)) (* -1 U)) (/ (* J J) U) (* J J) (* -1 U) -1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* -2 J) (* 1/4 (* J (* K K)))) (* 1/4 (* J (* K K))) 1/4 (* J (* K K)) (* K K) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2)
7.0ms
K
@inf
((* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (* -2 J) -2 J (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2)))) (sin (/ K 2)) (/ K 2) K 2 (cos (/ (PI) 2)) (/ (PI) 2) (PI) (* (cos (/ K 2)) (sin (/ (PI) 2))) (cos (/ K 2)) (sin (/ (PI) 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (+ (* -2 (/ (* J J) U)) (* -1 U)) (/ (* J J) U) (* J J) (* -1 U) -1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* -2 J) (* 1/4 (* J (* K K)))) (* 1/4 (* J (* K K))) 1/4 (* J (* K K)) (* K K) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2)

rewrite233.0ms (4.1%)

Memory
10.5MiB live, 277.4MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100310210
010599165
158648252
081097971
Stop Event
iter limit
node limit
iter limit
Counts
234 → 374
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))
(/.f64 (*.f64 J J) U)
(*.f64 J J)
(*.f64 #s(literal -1 binary64) U)
#s(literal -1 binary64)
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
(fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))
(*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))
#s(literal 1/4 binary64)
(*.f64 J (*.f64 K K))
(*.f64 K K)
(sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
#s(approx (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (/ (* U (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K))))))
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#s(approx (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (/ (* U (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K)))))
#s(approx (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (* -1 (/ (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (+ (* -1 (/ (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 4)))))))))
#s(approx (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* 1/2 K)) 5) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 2))) (+ (* -1 (/ (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 4))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
Outputs
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 J #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)))) (sin.f64 (-.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 K #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 (/.f64 K #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)))
(sin.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
#s(literal 0 binary64)
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (/.f64 K #s(literal 2 binary64))))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 K #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)))) (sin.f64 (-.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 K #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 (/.f64 K #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)))
#s(literal 1 binary64)
(pow.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(cosh.f64 (asinh.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64))))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))
(*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
(+.f64 J J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 #s(literal -1 binary64) U)
(*.f64 U #s(literal -1 binary64))
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
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#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (*.f64 J K) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) J) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) K) (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) J))) K (*.f64 (*.f64 J #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) J) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) K) (*.f64 (*.f64 #s(literal 1/4 binary64) J) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) K (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) J))) K (*.f64 (*.f64 J #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (cos (/ K 2)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (cos (/ K 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) K) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) K (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) K) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) K (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) K (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (/ K 2)) (*.f64 #s(literal 1/2 binary64) K))
#s(approx (sin (/ K 2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 K K) #s(literal 1/2 binary64)) K))
#s(approx (sin (/ K 2)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 K K)) #s(literal 1/48 binary64)) (*.f64 K K) #s(literal 1/2 binary64)) K))
#s(approx (sin (/ K 2)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 K K) #s(literal 1/3840 binary64)) (*.f64 K K)) #s(literal 1/48 binary64)) (*.f64 K K) #s(literal 1/2 binary64)) K))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (* (cos (/ K 2)) (sin (/ (PI) 2))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* (cos (/ K 2)) (sin (/ (PI) 2))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (* (cos (/ K 2)) (sin (/ (PI) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 K K) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (* (cos (/ K 2)) (sin (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/384 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 K K) (*.f64 #s(literal -1/8 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 K K) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (cos (/ K 2)) #s(literal 1 binary64))
#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (*.f64 K U) #s(literal 2 binary64)) (*.f64 J J))) (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 K K) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (*.f64 K K) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 U U) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 J J)))))) (*.f64 K K)) (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (*.f64 K K) (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (*.f64 K K) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 K U) #s(literal 2 binary64)) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/24 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 K K) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 K K) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/24 binary64)))) (*.f64 K K) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 K K) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 K U) #s(literal 2 binary64)) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/24 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 K K) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 K K) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/24 binary64)))) (*.f64 K K) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 K K) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 (/.f64 (*.f64 (*.f64 K K) U) J) #s(literal 1/16 binary64) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 K K)) (*.f64 (/.f64 U J) #s(literal -5/384 binary64)) (*.f64 (/.f64 U J) #s(literal 1/16 binary64))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 U J) #s(literal -1/46080 binary64) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 (*.f64 (/.f64 U J) #s(literal -5/384 binary64)) #s(literal 1/8 binary64)))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal -5/384 binary64)))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal 1/16 binary64))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))
#s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/192 binary64) J)) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (*.f64 K K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal -1/256 binary64) (*.f64 (/.f64 (*.f64 U U) J) (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (*.f64 J (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) (*.f64 K K) (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))) (*.f64 K K) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J)) (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/46080 binary64) J) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 U U) (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 J J)))))) J)) (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/12288 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))) (*.f64 K K) (fma.f64 #s(literal -1/256 binary64) (*.f64 (/.f64 (*.f64 U U) J) (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fma.f64 (*.f64 J (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal -2 binary64))) (*.f64 K K) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 #s(literal 1/4 binary64) J) (*.f64 K K) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 J #s(literal -2 binary64))))
#s(approx (+ (* -2 J) (* 1/4 (* J (* K K)))) (*.f64 J #s(literal -2 binary64)))
#s(approx (+ (* -2 J) (* 1/4 (* J (* K K)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) J) (*.f64 K K) (*.f64 J #s(literal -2 binary64))))
#s(approx (* K K) (*.f64 K K))
#s(approx (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (cos (/ K 2)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (sin (/ K 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (* (cos (/ K 2)) (sin (/ (PI) 2))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (+ (* -2 J) (* 1/4 (* J (* K K)))) (*.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64)))
#s(approx (+ (* -2 J) (* 1/4 (* J (* K K)))) (*.f64 (fma.f64 (/.f64 J (*.f64 K K)) #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) J) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 U U) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 J #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 1/64 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 1/64 binary64) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 J #s(literal 5 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) #s(literal -1/512 binary64))) (*.f64 U U) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64))) #s(literal 1/1024 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -4 binary64)))) (*.f64 U U) (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx U U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* -1 U) (neg.f64 U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 J #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 J #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 U U)) (pow.f64 J #s(literal 5 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U))
#s(approx (* -1 U) (neg.f64 U))
#s(approx (* U U) (*.f64 U U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U)) #s(literal -2 binary64) (neg.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U)) #s(literal -2 binary64) (fma.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (neg.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 J #s(literal 6 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 U #s(literal 6 binary64)))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U)) #s(literal -2 binary64) (fma.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (neg.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))) U))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64) (pow.f64 U #s(literal -2 binary64))) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)))) #s(literal 1 binary64)) U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 1 binary64))) U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)))) #s(literal 1 binary64)) U))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 (fma.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal 1/4 binary64) (pow.f64 U #s(literal -2 binary64))) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U)) #s(literal -2 binary64) (neg.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U)) #s(literal -2 binary64) (fma.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (neg.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (*.f64 (pow.f64 J #s(literal 6 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 U #s(literal 6 binary64)))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U)) #s(literal -2 binary64) (fma.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (neg.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)))) #s(literal 1 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) U)
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)))) #s(literal 1 binary64))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 2 binary64) #s(literal 1 binary64))))

eval69.0ms (1.2%)

Memory
-16.7MiB live, 134.5MiB allocated; 16ms collecting garbage
Compiler

Compiled 24 311 to 1 953 computations (92% saved)

prune57.0ms (1%)

Memory
2.1MiB live, 48.8MiB allocated; 2ms collecting garbage
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New4629471
Fresh5813
Picked325
Done011
Total47020490
Accuracy
99.9%
Counts
490 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64) (pow.f64 U #s(literal -2 binary64))) (*.f64 U U)))))
48.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
47.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))) #s(literal 1 binary64))))
54.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
62.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
28.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
49.2%
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
48.8%
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
28.2%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
22.9%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(literal 1 binary64)))))
49.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
39.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
11.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
40.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
24.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
41.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
14.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
24.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 2 binary64)))))
23.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
15.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 1 642 to 1 111 computations (32.3% saved)

series182.0ms (3.2%)

Memory
-10.8MiB live, 200.6MiB allocated; 119ms collecting garbage
Counts
55 → 265
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 U J) (/.f64 U J))
(/.f64 U J)
U
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64)))
(*.f64 J #s(literal -2 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64))))
(*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))
(neg.f64 U)
(-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U))
(*.f64 (*.f64 J J) #s(literal -2 binary64))
(*.f64 J J)
(*.f64 U U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))
(*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))
(*.f64 K K)
(-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/384 binary64) (*.f64 K K))
#s(literal 1/384 binary64)
#s(literal 1/8 binary64)
(sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
#s(literal 2 binary64)
(cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
Outputs
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#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(hole binary64 (+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(hole binary64 (+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (+ (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (pow U 6))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (pow U 6))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4)))))))))
Calls

9 calls:

TimeVariablePointExpression
87.0ms
K
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2 K (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) (/ U J) U 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (neg U) (- (/ (* (* J J) -2) (* U U)) 1) (/ (* (* J J) -2) (* U U)) (* (* J J) -2) (* J J) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) (* (* K K) (- (* 1/384 (* K K)) 1/8)) (* K K) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2)) (/ K 2) 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* 1/2 (/ U (* J (cos (* 1/2 K))))) (/ U (* J (cos (* 1/2 K)))) (* J (cos (* 1/2 K))) (cos (* 1/2 K)))
18.0ms
K
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2 K (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) (/ U J) U 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (neg U) (- (/ (* (* J J) -2) (* U U)) 1) (/ (* (* J J) -2) (* U U)) (* (* J J) -2) (* J J) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) (* (* K K) (- (* 1/384 (* K K)) 1/8)) (* K K) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2)) (/ K 2) 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* 1/2 (/ U (* J (cos (* 1/2 K))))) (/ U (* J (cos (* 1/2 K)))) (* J (cos (* 1/2 K))) (cos (* 1/2 K)))
13.0ms
K
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2 K (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) (/ U J) U 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (neg U) (- (/ (* (* J J) -2) (* U U)) 1) (/ (* (* J J) -2) (* U U)) (* (* J J) -2) (* J J) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) (* (* K K) (- (* 1/384 (* K K)) 1/8)) (* K K) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2)) (/ K 2) 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* 1/2 (/ U (* J (cos (* 1/2 K))))) (/ U (* J (cos (* 1/2 K)))) (* J (cos (* 1/2 K))) (cos (* 1/2 K)))
10.0ms
U
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2 K (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) (/ U J) U 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (neg U) (- (/ (* (* J J) -2) (* U U)) 1) (/ (* (* J J) -2) (* U U)) (* (* J J) -2) (* J J) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) (* (* K K) (- (* 1/384 (* K K)) 1/8)) (* K K) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2)) (/ K 2) 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* 1/2 (/ U (* J (cos (* 1/2 K))))) (/ U (* J (cos (* 1/2 K)))) (* J (cos (* 1/2 K))) (cos (* 1/2 K)))
7.0ms
J
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2 K (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) (/ U J) U 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (neg U) (- (/ (* (* J J) -2) (* U U)) 1) (/ (* (* J J) -2) (* U U)) (* (* J J) -2) (* J J) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) (* (* K K) (- (* 1/384 (* K K)) 1/8)) (* K K) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos (/ K 2)) (/ K 2) 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* 1/2 (/ U (* J (cos (* 1/2 K))))) (/ U (* J (cos (* 1/2 K)))) (* J (cos (* 1/2 K))) (cos (* 1/2 K)))

rewrite278.0ms (4.9%)

Memory
14.2MiB live, 344.6MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0168240254
0173737463
0809836157
Stop Event
iter limit
node limit
iter limit
Counts
320 → 374
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 U J) (/.f64 U J))
(/.f64 U J)
U
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64)))
(*.f64 J #s(literal -2 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64))))
(*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))
(neg.f64 U)
(-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U))
(*.f64 (*.f64 J J) #s(literal -2 binary64))
(*.f64 J J)
(*.f64 U U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))
(*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))
(*.f64 K K)
(-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/384 binary64) (*.f64 K K))
#s(literal 1/384 binary64)
#s(literal 1/8 binary64)
(sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
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#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(hole binary64 (+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(hole binary64 (+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (+ (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))) (+ (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* -1/6 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (+ (* -1/24 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))) (* 1/720 (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))))))) (+ (* -1/6 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* -1/24 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))))))) (pow U 6))) (* 1/2 (/ (- (* (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (+ (* 1/24 (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (* 1/2 (* (pow J 4) (pow (cos (* 1/2 K)) 4))))) (+ (* -1 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (+ (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))) (* 1/2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))))) (pow U 4))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (pow U 6))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4)))))))))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sin.f64 (+.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(pow.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 (/.f64 U J)) (neg.f64 (/.f64 U J)))
(*.f64 (fabs.f64 (/.f64 U J)) (fabs.f64 (/.f64 U J)))
(*.f64 (/.f64 U J) (/.f64 U J))
(pow.f64 (/.f64 U J) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 U U)) (neg.f64 (*.f64 J J)))
(/.f64 (*.f64 U U) (*.f64 J J))
(/.f64 (neg.f64 U) (neg.f64 J))
(/.f64 U J)
U
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64)))
(*.f64 J #s(literal -2 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64))))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64)))
(neg.f64 (*.f64 U (-.f64 (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64))))
(neg.f64 U)
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64)))))
(-.f64 (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U))
(/.f64 (neg.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64))) (neg.f64 (*.f64 U U)))
(/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U))
(*.f64 (*.f64 J J) #s(literal -2 binary64))
(*.f64 (pow.f64 J #s(literal 1 binary64)) (pow.f64 J #s(literal 1 binary64)))
(*.f64 (neg.f64 J) (neg.f64 J))
(*.f64 (fabs.f64 J) (fabs.f64 J))
(*.f64 J J)
(pow.f64 J #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64)))
(*.f64 (pow.f64 U #s(literal 1 binary64)) (pow.f64 U #s(literal 1 binary64)))
(*.f64 (fabs.f64 U) (fabs.f64 U))
(*.f64 (neg.f64 U) (neg.f64 U))
(*.f64 U U)
(pow.f64 U #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 U) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 K K)) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))
(*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 K #s(literal 1 binary64)) (pow.f64 K #s(literal 1 binary64)))
(*.f64 (neg.f64 K) (neg.f64 K))
(*.f64 (fabs.f64 K) (fabs.f64 K))
(*.f64 K K)
(pow.f64 K #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 K) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal 1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
(-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/384 binary64) (*.f64 K K))
#s(literal 1/384 binary64)
#s(literal 1/8 binary64)
(pow.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 (/.f64 U J)) (neg.f64 (/.f64 U J)))
(*.f64 (fabs.f64 (/.f64 U J)) (fabs.f64 (/.f64 U J)))
(*.f64 (/.f64 U J) (/.f64 U J))
(pow.f64 (/.f64 U J) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 U U)) (neg.f64 (*.f64 J J)))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(sin.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 K #s(literal 2 binary64))
#s(literal 2 binary64)
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(cosh.f64 (neg.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) U))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 3 binary64))))))))
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#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* -2 J) (*.f64 #s(literal -2 binary64) J))
#s(approx J J)
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#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 3 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 5 binary64))))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))) J))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))
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#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 U U) (*.f64 J J)) (*.f64 J J)))
#s(approx (* (/ U J) (/ U J)) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))
#s(approx (/ U J) (/.f64 U J))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U)))
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#s(approx (* J -2) (*.f64 #s(literal -2 binary64) J))
#s(approx (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) U)
#s(approx (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (-.f64 U (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U))))
#s(approx (- (/ (* (* J J) -2) (* U U)) 1) #s(literal -1 binary64))
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#s(approx (* (* J J) -2) (*.f64 #s(literal -2 binary64) (*.f64 J J)))
#s(approx (* J J) (*.f64 J J))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))
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#s(approx (* (/ U J) (/ U J)) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))
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#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J J) (-.f64 (*.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/720 binary64) (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 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#s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal -24 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#s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 J J) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 J J) (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))))))) (*.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)))))))
#s(approx (* 1/2 (/ U (* J (cos (* 1/2 K))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (/ U (* J (cos (* 1/2 K)))) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* J (cos (* 1/2 K))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))))
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#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))))) #s(literal 2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (fma.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))))) #s(literal 2 binary64))))
#s(approx (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))
#s(approx (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (pow.f64 U #s(literal -1 binary64)) (/.f64 U (*.f64 J J)))))
#s(approx (- (/ (* (* J J) -2) (* U U)) 1) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))
#s(approx (- (/ (* (* J J) -2) (* U U)) 1) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (pow.f64 U #s(literal -2 binary64)) (pow.f64 J #s(literal -2 binary64))))))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (pow.f64 J #s(literal 3 binary64)))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (pow.f64 J #s(literal 4 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (pow.f64 J #s(literal 3 binary64))))))))
#s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
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#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(literal 1 binary64))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (pow.f64 J #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (pow.f64 J #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))) J))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J)))) J))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) (pow.f64 J #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 J (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (pow.f64 J #s(literal 3 binary64))))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 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(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) J)) (pow.f64 J #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
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#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 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binary64)))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 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binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) J))) (pow.f64 J #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))) J)))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) J) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) J) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))))) J) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/256 binary64) (*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/384 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))))) (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 J (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/12288 binary64) (*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/1440 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (fma.f64 #s(literal 1/192 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))))))))) (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal -1/256 binary64) (*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/384 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/4 binary64) J)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) J (*.f64 #s(literal 1/23040 binary64) (*.f64 J (*.f64 K K)))))))))
#s(approx (cos (/ K 2)) #s(literal 1 binary64))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)))) #s(literal 1/8 binary64)))))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
#s(approx (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 K U) #s(literal 2 binary64)) (*.f64 J J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))))
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#s(approx (* 1/2 (/ U (* J (cos (* 1/2 K))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 K K) U) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
#s(approx (* 1/2 (/ U (* J (cos (* 1/2 K))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))))))
#s(approx (* 1/2 (/ U (* J (cos (* 1/2 K))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/16 binary64) (/.f64 U J) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))))))))
#s(approx (/ U (* J (cos (* 1/2 K)))) (/.f64 U J))
#s(approx (/ U (* J (cos (* 1/2 K)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 K K) U) J) (/.f64 U J)))
#s(approx (/ U (* J (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) (*.f64 #s(literal 1/8 binary64) (/.f64 U J))) (/.f64 U J)))
#s(approx (/ U (* J (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))))))) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) (*.f64 #s(literal 1/8 binary64) (/.f64 U J))) (/.f64 U J)))
#s(approx (* J (cos (* 1/2 K))) J)
#s(approx (* J (cos (* 1/2 K))) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)))))
#s(approx (* J (cos (* 1/2 K))) (+.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) J (*.f64 #s(literal 1/384 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* J (cos (* 1/2 K))) (+.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/384 binary64) J)))))))
#s(approx (cos (* 1/2 K)) #s(literal 1 binary64))
#s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))
#s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
#s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)))) #s(literal 1/8 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) (*.f64 #s(literal 1/384 binary64) (pow.f64 K #s(literal 4 binary64))))
#s(approx (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) (*.f64 (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/384 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 K #s(literal -2 binary64))))))
#s(approx (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) (*.f64 (pow.f64 K #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/384 binary64) (pow.f64 K #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 K #s(literal -2 binary64))))))
#s(approx (* (* K K) (- (* 1/384 (* K K)) 1/8)) (*.f64 #s(literal 1/384 binary64) (pow.f64 K #s(literal 4 binary64))))
#s(approx (* (* K K) (- (* 1/384 (* K K)) 1/8)) (*.f64 (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/384 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 K #s(literal -2 binary64))))))
#s(approx (- (* 1/384 (* K K)) 1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K)))
#s(approx (- (* 1/384 (* K K)) 1/8) (*.f64 (*.f64 K K) (-.f64 #s(literal 1/384 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 K #s(literal -2 binary64))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal -1 binary64))))))))
#s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal -1 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal -1 binary64))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (log.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (cos (* 1/2 K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx U U)
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 J #s(literal -1 binary64)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal -3 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 J #s(literal -1 binary64)))))))
#s(approx (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 J J) (*.f64 U U)) U))
#s(approx (neg U) (*.f64 #s(literal -1 binary64) U))
#s(approx (- (/ (* (* J J) -2) (* U U)) 1) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 J J) (*.f64 #s(literal -1 binary64) (*.f64 U U))) (*.f64 U U)))
#s(approx (* U U) (*.f64 U U))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (* J -2) (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (*.f64 #s(literal -1/128 binary64) (pow.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 U (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 U (fma.f64 (*.f64 U U) (fma.f64 #s(literal 3/1280 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal -1/48 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 U (fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -5/14336 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 7 binary64))) (*.f64 #s(literal 3/1280 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/48 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U))) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64))))
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#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 U)) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 U)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U))))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
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#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) U)
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#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal -720 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (fma.f64 #s(literal -240 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (*.f64 #s(literal 1440 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))))) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64)))))))))

eval82.0ms (1.4%)

Memory
-1.3MiB live, 139.2MiB allocated; 23ms collecting garbage
Compiler

Compiled 48 086 to 2 520 computations (94.8% saved)

prune34.0ms (0.6%)

Memory
-17.2MiB live, 74.8MiB allocated; 8ms collecting garbage
Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New4335438
Fresh21012
Picked145
Done033
Total43622458
Accuracy
99.9%
Counts
458 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64) (pow.f64 U #s(literal -2 binary64))) (*.f64 U U)))))
48.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
54.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
62.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
47.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
28.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
49.2%
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
48.8%
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
28.2%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
22.9%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(literal 1 binary64)))))
39.7%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
49.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
11.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
40.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
24.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
41.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
15.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64)))))
2.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) #s(approx (- (/ (* (* J J) -2) (* U U)) 1) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)))))))
24.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 2 binary64)))))
23.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
2.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
15.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 2 814 to 912 computations (67.6% saved)

regimes77.0ms (1.4%)

Memory
-14.8MiB live, 134.4MiB allocated; 23ms collecting garbage
Counts
42 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) #s(approx (- (/ (* (* J J) -2) (* U U)) 1) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/4 binary64) J))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64) (pow.f64 U #s(literal -2 binary64))) (*.f64 U U)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

6 calls:

20.0ms
K
12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
11.0ms
U
11.0ms
J
11.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
83.8%1(/.f64 K #s(literal 2 binary64))
83.8%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
99.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
86.1%2J
83.8%1K
87.8%2U
Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes11.0ms (0.2%)

Memory
20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) #s(approx (- (/ (* (* J J) -2) (* U U)) 1) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/4 binary64) J))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))) #s(literal 1 binary64))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

1 calls:

9.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
92.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.2%)

Memory
17.5MiB live, 17.5MiB allocated; 0ms collecting garbage
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) #s(approx (- (/ (* (* J J) -2) (* U U)) 1) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/4 binary64) J))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

1 calls:

7.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
92.7%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes60.0ms (1.1%)

Memory
-19.1MiB live, 27.0MiB allocated; 3ms collecting garbage
Counts
26 → 6
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) #s(approx (- (/ (* (* J J) -2) (* U U)) 1) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/4 binary64) J))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

3 calls:

45.0ms
U
7.0ms
J
7.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
71.6%2J
70.6%2U
91.7%6(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes30.0ms (0.5%)

Memory
-17.9MiB live, 33.2MiB allocated; 4ms collecting garbage
Counts
25 → 4
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) #s(approx (- (/ (* (* J J) -2) (* U U)) 1) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/4 binary64) J))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (* (cos (/ K 2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

4 calls:

7.0ms
(/.f64 K #s(literal 2 binary64))
7.0ms
K
6.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
6.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
60.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
60.8%2(/.f64 K #s(literal 2 binary64))
60.8%2K
88.2%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes7.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) #s(approx (- (/ (* (* J J) -2) (* U U)) 1) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/4 binary64) J))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 J #s(literal -2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

1 calls:

6.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
75.7%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes15.0ms (0.3%)

Memory
26.3MiB live, 26.3MiB allocated; 0ms collecting garbage
Counts
17 → 4
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) #s(approx (- (/ (* (* J J) -2) (* U U)) 1) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

3 calls:

5.0ms
U
5.0ms
J
5.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
49.5%2U
52.9%2J
69.7%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes23.0ms (0.4%)

Memory
-11.3MiB live, 33.6MiB allocated; 4ms collecting garbage
Counts
16 → 4
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) #s(approx (- (/ (* (* J J) -2) (* U U)) 1) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) (/.f64 #s(literal -2 binary64) U)) #s(literal 1 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

4 calls:

8.0ms
K
5.0ms
(/.f64 K #s(literal 2 binary64))
4.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
4.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
55.5%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
46.7%2(/.f64 K #s(literal 2 binary64))
46.7%2K
63.4%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes5.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Counts
14 → 4
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) #s(approx (- (/ (* (* J J) -2) (* U U)) 1) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 J (/.f64 J U)) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

1 calls:

4.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
63.3%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Counts
5 → 4
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* (neg U) (- (/ (* (* J J) -2) (* U U)) 1)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

1 calls:

2.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
63.3%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory
-36.4MiB live, 7.4MiB allocated; 5ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
Calls

2 calls:

1.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
55.0%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
55.0%2(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 28 to 23 computations (17.9% saved)

regimes7.0ms (0.1%)

Memory
18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

6 calls:

1.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
J
1.0ms
U
Results
AccuracySegmentsBranch
15.5%1(/.f64 K #s(literal 2 binary64))
15.5%1K
15.5%1U
15.5%1J
15.5%1(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
15.5%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 34 to 37 computations (-8.8% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.8586777638056577e+304
+inf
0.0ms
-inf
-6.237866513163523e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.8586777638056577e+304
+inf
0.0ms
-inf
-6.237866513163523e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.8586777638056577e+304
+inf
0.0ms
-inf
-6.237866513163523e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2544647428562812e+259
3.229814423124404e+295
0.0ms
-1.969319763893671e-292
1.4893482179854175e-296
0.0ms
-2.615802431770305e-140
-2.8385084313883565e-151
0.0ms
-2.45006235396131e+178
-1.0408561365808398e+178
0.0ms
-inf
-6.237866513163523e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2544647428562812e+259
3.229814423124404e+295
0.0ms
-1.969319763893671e-292
1.4893482179854175e-296
0.0ms
-inf
-6.237866513163523e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.969319763893671e-292
1.4893482179854175e-296
0.0ms
-inf
-6.237866513163523e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.969319763893671e-292
1.4893482179854175e-296
0.0ms
-2.615802431770305e-140
-2.8385084313883565e-151
0.0ms
-inf
-6.237866513163523e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.969319763893671e-292
1.4893482179854175e-296
0.0ms
-4.6442726179634783e+80
-3.5403835006804133e+65
0.0ms
-inf
-6.237866513163523e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.969319763893671e-292
1.4893482179854175e-296
0.0ms
-4.6442726179634783e+80
-3.5403835006804133e+65
0.0ms
-inf
-6.237866513163523e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.969319763893671e-292
1.4893482179854175e-296
0.0ms
-4.6442726179634783e+80
-3.5403835006804133e+65
0.0ms
-inf
-6.237866513163523e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch34.0ms (0.6%)

Memory
10.1MiB live, 56.3MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
-0.011374097019913921
0.0005891054073960231
Samples
21.0ms240×0valid
Compiler

Compiled 819 to 609 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (45.7% of total)
ival-sqrt: 3.0ms (19.6% of total)
ival-div: 2.0ms (13.1% of total)
ival-pow2: 2.0ms (13.1% of total)
ival-add: 1.0ms (6.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify61.0ms (1.1%)

Memory
-13.8MiB live, 85.9MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342097
11842097
23692097
311492097
445512097
Stop Event
node limit
Calls
Call 1
Inputs
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Outputs
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

derivations300.0ms (5.3%)

Memory
-3.9MiB live, 234.8MiB allocated; 13ms collecting garbage
Stop Event
fuel
Compiler

Compiled 2 097 to 138 computations (93.4% saved)

preprocess156.0ms (2.7%)

Memory
-17.7MiB live, 123.4MiB allocated; 31ms collecting garbage
Remove

(abs K)

Compiler

Compiled 5 592 to 810 computations (85.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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