Maksimov and Kolovsky, Equation (3)

Time bar (total: 4.6s)

start0.0ms (0%)

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

analyze372.0ms (8%)

Memory
19.1MiB live, 330.5MiB allocated; 156ms 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)

sample1.4s (31.1%)

Memory
9.8MiB live, 1 753.2MiB allocated; 275ms collecting garbage
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 793.0ms
ival-mult!: 248.0ms (31.3% of total)
ival-cos: 229.0ms (28.9% of total)
ival-pow2: 145.0ms (18.3% of total)
ival-div!: 89.0ms (11.2% of total)
ival-sqrt: 60.0ms (7.6% of total)
ival-add!: 21.0ms (2.6% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain255.0ms (5.5%)

Memory
-15.0MiB live, 426.5MiB allocated; 37ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
390-0-(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))))
360-0-(*.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)))))
10-0-(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
10-0-(*.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)
0131(1.5693591221664504e+83 7.906213291944051e+106 7.39326629864797e-97)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-#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)))sensitivity1310
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-rescue390
(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))))overflow36
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))overflow36
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))overflow75
(+.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)))overflow75
(*.f64 #s(literal 2 binary64) J)overflow1
*.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*o360
*.f64(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))n*o10
*.f64(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))n*o10
Confusion
Predicted +Predicted -
+760
-9783
Precision
0.4393063583815029
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7600
-97083
Precision?
0.4393063583815029
Recall?
1.0
Freqs
test
numberfreq
083
1139
233
31
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: 49.0ms
ival-mult!: 18.0ms (36.9% of total)
ival-cos: 12.0ms (24.6% of total)
ival-div!: 8.0ms (16.4% of total)
ival-pow2: 5.0ms (10.2% of total)
ival-sqrt: 4.0ms (8.2% of total)
ival-add!: 1.0ms (2% of total)
adjust: 0.0ms (0% of total)

preprocess44.0ms (1%)

Memory
9.3MiB live, 55.2MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075246
1206240
2634240
32468240
47900240
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.7%
(*.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)))))
Symmetry

(abs K)

(abs U)

(negabs J)

Compiler

Compiled 48 to 34 computations (29.2% saved)

series56.0ms (1.2%)

Memory
37.7MiB live, 129.1MiB allocated; 8ms 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
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
@-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))
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) 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
@-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))

rewrite249.0ms (5.4%)

Memory
-16.5MiB live, 269.5MiB allocated; 23ms 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)))))))
(/.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))) (-.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)))))))

eval26.0ms (0.6%)

Memory
13.2MiB live, 57.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 7 252 to 959 computations (86.8% saved)

prune12.0ms (0.3%)

Memory
-19.7MiB live, 26.3MiB allocated; 2ms collecting garbage
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New15710167
Fresh000
Picked101
Done000
Total15810168
Accuracy
99.9%
Counts
168 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.3%
(*.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)))))
62.5%
(*.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)))))
43.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) U) #s(literal -2 binary64) (neg.f64 U)))
44.4%
#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))
41.6%
#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))
53.7%
#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)))))
30.2%
#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)))))
50.6%
#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))))
44.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
10.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 742 to 516 computations (30.5% saved)

series155.0ms (3.4%)

Memory
-23.6MiB live, 239.3MiB allocated; 101ms collecting garbage
Counts
50 → 244
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)))) 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))))
(*.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)))
(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(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) U) #s(literal -2 binary64) (neg.f64 U)))
(fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) U) #s(literal -2 binary64) (neg.f64 U))
(/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) U)
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
(neg.f64 U)
#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 (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)
(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)))
(/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)))
(*.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))
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))))))
#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 (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) U)) (* -1 (/ (* 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 (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* 1/2 K)) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 3))))))))
#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)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* 1/2 K)) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 5) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 5))) (* 2 (/ (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (pow U 3))))))))))
#s(approx (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) #s(hole binary64 (* -2 (* J (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 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 (* -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))))
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#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
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#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))))))))))))
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#s(approx (/ (pow (* (cos (* 1/2 K)) J) 2) U) #s(hole binary64 (/ (pow J 2) U)))
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#s(approx (/ (pow (* (cos (* 1/2 K)) J) 2) U) #s(hole binary64 (+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) U)) (* 1/48 (/ (* (pow J 2) (pow K 2)) U)))) (/ (pow J 2) U))))
#s(approx (/ (pow (* (cos (* 1/2 K)) J) 2) U) #s(hole binary64 (+ (* (pow K 2) (+ (* -1/4 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/1440 (/ (* (pow J 2) (pow K 2)) U)) (* 1/48 (/ (pow J 2) U)))))) (/ (pow J 2) U))))
#s(approx (pow (* (cos (* 1/2 K)) J) 2) #s(hole binary64 (pow J 2)))
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#s(approx (pow (* (cos (* 1/2 K)) J) 2) #s(hole binary64 (+ (* (pow K 2) (+ (* -1/4 (pow J 2)) (* 1/48 (* (pow J 2) (pow K 2))))) (pow J 2))))
#s(approx (pow (* (cos (* 1/2 K)) J) 2) #s(hole binary64 (+ (* (pow K 2) (+ (* -1/4 (pow J 2)) (* (pow K 2) (+ (* -1/1440 (* (pow J 2) (pow K 2))) (* 1/48 (pow J 2)))))) (pow J 2))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 J))
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#s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) #s(hole binary64 (+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2)))))) (* -1/8 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))))
#s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) #s(hole binary64 (+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))) (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2)))))) (* -1/8 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))))
#s(approx (* (cos (* 1/2 K)) (* J J)) #s(hole binary64 (pow J 2)))
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#s(approx (* (cos (* 1/2 K)) (* J J)) #s(hole binary64 (+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* 1/384 (* (pow J 2) (pow K 2))))) (pow J 2))))
#s(approx (* (cos (* 1/2 K)) (* J J)) #s(hole binary64 (+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* (pow K 2) (+ (* -1/46080 (* (pow J 2) (pow K 2))) (* 1/384 (pow J 2)))))) (pow J 2))))
#s(approx (* (cos (* 1/2 K)) -2) #s(hole binary64 -2))
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#s(approx (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))))
#s(approx (sin (/ K 2)) #s(hole binary64 (sin (* 1/2 K))))
#s(approx (* (cos (/ K 2)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos (* 1/2 K)) (sin (* 1/2 (PI))))))
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#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 (+ (* -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 (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (* U U) #s(hole binary64 (pow U 2)))
#s(approx (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) #s(hole binary64 (/ (+ (* -2 (* (pow J 2) (pow (cos (* 1/2 K)) 2))) (* -1 (pow U 2))) U)))
#s(approx (neg U) #s(hole binary64 (* -1 U)))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (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 (* 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 (* 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 (* 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 (* 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 (- (* -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 (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* 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 (* 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 (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#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 (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (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 (/ (* 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 (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))))
Calls

9 calls:

TimeVariablePointExpression
22.0ms
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)))) (* (* (* -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) (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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) (/ (pow (* (cos (* 1/2 K)) J) 2) U) (pow (* (cos (* 1/2 K)) J) 2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (* (cos (* 1/2 K)) (* J J)) -1/4 (* (cos (* 1/2 K)) -2))
13.0ms
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)))) (* (* (* -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) (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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) (/ (pow (* (cos (* 1/2 K)) J) 2) U) (pow (* (cos (* 1/2 K)) J) 2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (* (cos (* 1/2 K)) (* J J)) -1/4 (* (cos (* 1/2 K)) -2))
10.0ms
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)))) (* (* (* -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) (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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) (/ (pow (* (cos (* 1/2 K)) J) 2) U) (pow (* (cos (* 1/2 K)) J) 2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (* (cos (* 1/2 K)) (* J J)) -1/4 (* (cos (* 1/2 K)) -2))
10.0ms
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)))) (* (* (* -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) (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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) (/ (pow (* (cos (* 1/2 K)) J) 2) U) (pow (* (cos (* 1/2 K)) J) 2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (* (cos (* 1/2 K)) (* J J)) -1/4 (* (cos (* 1/2 K)) -2))
9.0ms
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)))) (* (* (* -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) (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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) (/ (pow (* (cos (* 1/2 K)) J) 2) U) (pow (* (cos (* 1/2 K)) J) 2) (* (cos (* 1/2 K)) J) (cos (* 1/2 K)) (* 1/2 K) 1/2 (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (* (cos (* 1/2 K)) (* J J)) -1/4 (* (cos (* 1/2 K)) -2))

rewrite290.0ms (6.2%)

Memory
13.0MiB live, 294.4MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126512663
0133511462
1772611222
0800310868
Stop Event
iter-limit
node-limit
iter-limit
Counts
294 → 426
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)))) 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))))
(*.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)))
(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(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) U) #s(literal -2 binary64) (neg.f64 U)))
(fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) U) #s(literal -2 binary64) (neg.f64 U))
(/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) U)
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
(neg.f64 U)
#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 (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)
(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)))
(/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)))
(*.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))
#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))))))
#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 (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) U)) (* -1 (/ (* 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 (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* 1/2 K)) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 3))))))))
#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)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* 1/2 K)) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 5) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K)))))) (pow U 5))) (* 2 (/ (* (pow (cos (* 1/2 K)) 3) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (pow U 3))))))))))
#s(approx (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) #s(hole binary64 (* -2 (* J (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 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 (* -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 (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (* J -2) #s(hole binary64 (* -2 J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))))
#s(approx (/ (* U U) (* J J)) #s(hole binary64 (/ (pow U 2) (pow J 2))))
#s(approx (* J J) #s(hole binary64 (pow J 2)))
#s(approx (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) #s(hole binary64 (* -1 U)))
#s(approx (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) #s(hole binary64 (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) U)))
#s(approx (/ (pow (* (cos (* 1/2 K)) J) 2) U) #s(hole binary64 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)))
#s(approx (pow (* (cos (* 1/2 K)) J) 2) #s(hole binary64 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (* J (cos (* 1/2 K)))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) (pow J 2))))
#s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) #s(hole binary64 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
#s(approx (* (cos (* 1/2 K)) (* J J)) #s(hole binary64 (* (pow J 2) (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 (* -2 (* J (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 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 (* J (+ (* -2 (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* -1/4 (/ (* (pow U 2) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 2) (pow (cos (* 1/2 K)) 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 (* J (+ (* -2 (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (+ (* -1/4 (/ (* (pow U 2) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 4) (pow (cos (* 1/2 K)) 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 (* J (+ (* -2 (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (+ (* -1/4 (/ (* (pow U 2) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 1))
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#s(approx (/ (pow (* (cos (* 1/2 K)) J) 2) U) #s(hole binary64 (/ (pow J 2) U)))
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#s(approx (pow (* (cos (* 1/2 K)) J) 2) #s(hole binary64 (pow J 2)))
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#s(approx (pow (* (cos (* 1/2 K)) J) 2) #s(hole binary64 (+ (* (pow K 2) (+ (* -1/4 (pow J 2)) (* (pow K 2) (+ (* -1/1440 (* (pow J 2) (pow K 2))) (* 1/48 (pow J 2)))))) (pow J 2))))
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#s(approx (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))))
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#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))
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#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))))))))))
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#s(approx (* U U) #s(hole binary64 (pow U 2)))
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#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 (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* 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 (* 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 (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#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 (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (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 (/ (* 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 (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 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)))) (-.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 (pow.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 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 (/.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 (/.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)))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.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)))) (cos.f64 (+.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #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)))) (-.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 (pow.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 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 (/.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 (/.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 (+.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)))
(/.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 (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 3 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)))
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U
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#s(literal 1/2 binary64)
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#s(literal -1/4 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
(*.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)))) (neg.f64 (*.f64 U (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.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)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) U) #s(literal -2 binary64) (neg.f64 (*.f64 U (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.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)))) (fma.f64 (fma.f64 (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 U #s(literal 3 binary64))))) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 (*.f64 U (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.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)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 J J) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (pow.f64 U #s(literal 5 binary64)))) #s(literal -4 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 U #s(literal 3 binary64)))) #s(literal 2 binary64))) (*.f64 J J) (*.f64 (/.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 (*.f64 U (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* -2 J) (*.f64 J #s(literal -2 binary64)))
#s(approx J J)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1/2 binary64) (/.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 (fma.f64 (*.f64 (*.f64 J J) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) (*.f64 J J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 5 binary64)))) #s(literal 2 binary64) (neg.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64)))) (*.f64 J J) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) (*.f64 J J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (/.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 J J)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1/2 binary64)))
#s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#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)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) 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)))) (fma.f64 (fma.f64 (*.f64 (*.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))) #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U)))
#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 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64)))) #s(literal -4 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64))) (*.f64 J J) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (neg.f64 U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (pow.f64 U #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J) (neg.f64 U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 U #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (pow.f64 U #s(literal 5 binary64)))) (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J) (neg.f64 U)))
#s(approx (* -2 J) (*.f64 J #s(literal -2 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
#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 (fma.f64 (/.f64 (*.f64 J J) (pow.f64 U #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 U #s(literal -1 binary64))) (*.f64 J J) (*.f64 #s(literal 1/2 binary64) U)) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (pow.f64 U #s(literal 5 binary64))) (pow.f64 U #s(literal -3 binary64))) (*.f64 J J) (pow.f64 U #s(literal -1 binary64))) (*.f64 J J) (*.f64 #s(literal 1/2 binary64) U)) J))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (/.f64 (fma.f64 (*.f64 U U) #s(literal 1/4 binary64) (*.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 (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) (neg.f64 U))
#s(approx (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) U) #s(literal -2 binary64)) U))
#s(approx (/ (pow (* (cos (* 1/2 K)) J) 2) U) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) U))
#s(approx (pow (* (cos (* 1/2 K)) J) 2) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)))
#s(approx (* (cos (* 1/2 K)) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 J J)))
#s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (cos (* 1/2 K)) (* J J)) (*.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 (*.f64 J #s(literal -2 binary64)) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 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 (fma.f64 (*.f64 (*.f64 U U) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)))) #s(literal -1/4 binary64) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (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)))) (*.f64 (fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64) (fma.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)))) #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 U U) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)))) #s(literal -1/4 binary64)))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64) (fma.f64 (*.f64 (*.f64 U U) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)))) #s(literal -1/512 binary64) (*.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)))) #s(literal 1/64 binary64))))) 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))) (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)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64))) #s(literal 1/1024 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))))) #s(literal 1 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)) (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 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)))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (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 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (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 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) #s(literal 1/64 binary64))))) J))
#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 (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 2 binary64)) J))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/4 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))) #s(literal 2 binary64))) J))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/4 binary64) (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) #s(literal -1/512 binary64) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))))) #s(literal 2 binary64)) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) #s(literal 1/1024 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1 binary64)))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) U) #s(literal -2 binary64)))
#s(approx (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) (*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64) (/.f64 (neg.f64 U) (*.f64 J J))) (*.f64 J J)))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.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)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 U U) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (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)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 U U) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (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)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (pow.f64 U #s(literal 4 binary64)) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/512 binary64) (*.f64 (pow.f64 U #s(literal 6 binary64)) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 U U) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (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)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (*.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)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (*.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)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (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 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 2 binary64)) J)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) #s(literal 2 binary64)) J)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (neg.f64 (*.f64 (+.f64 (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 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) #s(literal 2 binary64)) J)))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (*.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)))) (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (neg.f64 (*.f64 (*.f64 J K) (cos.f64 (*.f64 (PI.f64) #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 J #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) K) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 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 (*.f64 U U) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) (*.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) J)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) K (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #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 (* (* (* -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 1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) J)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) K (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 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 (*.f64 U U) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))))) K (*.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) J)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) K (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #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 (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 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) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 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) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 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 (*.f64 K K) #s(literal -1/48 binary64) #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 (*.f64 K K) #s(literal -1/8 binary64)) (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 (*.f64 K K) #s(literal -1/8 binary64) #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))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 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 (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 K K)) (/.f64 #s(literal 1 binary64) (sqrt.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 1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 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))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))))) (*.f64 K K) (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 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 #s(literal 1/16 binary64) (/.f64 U J))) (*.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 #s(literal -1/46080 binary64) (/.f64 U J) (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 #s(literal 1/16 binary64) (/.f64 U J))) (*.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 (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 1/32 binary64) (/.f64 (*.f64 U U) J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/8 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)))))
#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 (*.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (sqrt.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 1/384 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 1/32 binary64) (/.f64 (*.f64 U U) J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/8 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 (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)) (/.f64 #s(literal 1 binary64) (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 -1/46080 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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1/12288 binary64) (/.f64 (*.f64 U U) J)) (/.f64 #s(literal 1 binary64) (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 -1/256 binary64) (/.f64 (*.f64 U U) J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.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) (/.f64 #s(literal 1 binary64) (sqrt.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 1/384 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 1/32 binary64) (/.f64 (*.f64 U U) J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 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 (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))
#s(approx (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 J K) #s(literal 2 binary64)) U) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U))
#s(approx (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 (*.f64 J K) #s(literal 2 binary64)) U) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 1/2 binary64))) (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U))
#s(approx (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (pow.f64 (*.f64 J K) #s(literal 2 binary64)) U) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 J J) U))) (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 1/2 binary64))) (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))) U))
#s(approx (/ (pow (* (cos (* 1/2 K)) J) 2) U) (/.f64 (*.f64 J J) U))
#s(approx (/ (pow (* (cos (* 1/2 K)) J) 2) U) (fma.f64 (/.f64 (pow.f64 (*.f64 J K) #s(literal 2 binary64)) U) #s(literal -1/4 binary64) (/.f64 (*.f64 J J) U)))
#s(approx (/ (pow (* (cos (* 1/2 K)) J) 2) U) (fma.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 J K) #s(literal 2 binary64)) U) #s(literal 1/48 binary64) (*.f64 (/.f64 (*.f64 J J) U) #s(literal -1/4 binary64))) (*.f64 K K) (/.f64 (*.f64 J J) U)))
#s(approx (/ (pow (* (cos (* 1/2 K)) J) 2) U) (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 J K) #s(literal 2 binary64)) U) #s(literal -1/1440 binary64) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 J J) U))) (*.f64 K K) (*.f64 (/.f64 (*.f64 J J) U) #s(literal -1/4 binary64))) (*.f64 K K) (/.f64 (*.f64 J J) U)))
#s(approx (pow (* (cos (* 1/2 K)) J) 2) (*.f64 J J))
#s(approx (pow (* (cos (* 1/2 K)) J) 2) (fma.f64 (pow.f64 (*.f64 J K) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 J J)))
#s(approx (pow (* (cos (* 1/2 K)) J) 2) (fma.f64 (fma.f64 (pow.f64 (*.f64 J K) #s(literal 2 binary64)) #s(literal 1/48 binary64) (*.f64 (*.f64 J J) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 J J)))
#s(approx (pow (* (cos (* 1/2 K)) J) 2) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 J K) #s(literal 2 binary64)) #s(literal -1/1440 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 J J))) (*.f64 K K) (*.f64 (*.f64 J J) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 J J)))
#s(approx (* (cos (* 1/2 K)) J) J)
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J))
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/384 binary64) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J))
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64) (*.f64 #s(literal 1/384 binary64) J)) (*.f64 K K) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J))
#s(approx (cos (* 1/2 K)) #s(literal 1 binary64))
#s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (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 (* 1/2 K)) (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 (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 2 binary64)) J))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (*.f64 J (fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (*.f64 K K) (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 2 binary64)))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (fma.f64 (*.f64 J (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -5/384 binary64)) #s(literal 1/4 binary64)) #s(literal 1/192 binary64)) (*.f64 K K) (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)))) (*.f64 K K) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 2 binary64)) J)))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (fma.f64 (fma.f64 (*.f64 J (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -5/384 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/3072 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1/4 binary64) #s(literal 1/23040 binary64)) (*.f64 K K) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -5/384 binary64)) #s(literal 1/4 binary64)) #s(literal 1/192 binary64)))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) J)) (*.f64 K K) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 2 binary64)) J)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 2 binary64)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -5/384 binary64)) #s(literal 1/4 binary64)) #s(literal 1/192 binary64)) (*.f64 K K) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1/4 binary64)) (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -5/384 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/3072 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1/4 binary64) #s(literal 1/23040 binary64)) (*.f64 K K) (*.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -5/384 binary64)) #s(literal 1/4 binary64))) #s(literal 1/192 binary64)) (*.f64 K K) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1/4 binary64)) (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 2 binary64)))
#s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J)))
#s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (fma.f64 (/.f64 (pow.f64 (*.f64 K U) #s(literal 2 binary64)) (*.f64 J J)) #s(literal 1/8 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))
#s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 K K)) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -5/384 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 K K) (*.f64 (/.f64 U J) (/.f64 U J))))
#s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -5/384 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/3072 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 K K))) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -5/384 binary64))) (*.f64 K K) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 K K) (*.f64 (/.f64 U J) (/.f64 U J))))
#s(approx (* (cos (* 1/2 K)) (* J J)) (*.f64 J J))
#s(approx (* (cos (* 1/2 K)) (* J J)) (fma.f64 (pow.f64 (*.f64 J K) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 J J)))
#s(approx (* (cos (* 1/2 K)) (* J J)) (fma.f64 (fma.f64 (pow.f64 (*.f64 J K) #s(literal 2 binary64)) #s(literal 1/384 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 J J))) (*.f64 K K) (*.f64 J J)))
#s(approx (* (cos (* 1/2 K)) (* J J)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 J K) #s(literal 2 binary64)) #s(literal -1/46080 binary64) (*.f64 #s(literal 1/384 binary64) (*.f64 J J))) (*.f64 K K) (*.f64 #s(literal -1/8 binary64) (*.f64 J J))) (*.f64 K K) (*.f64 J J)))
#s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64))
#s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
#s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)) (*.f64 K K)) #s(literal 2 binary64)))
#s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/23040 binary64) (*.f64 K K)) #s(literal 1/192 binary64)) (*.f64 K K) #s(literal 1/4 binary64)) (*.f64 K K)) #s(literal 2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (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))) (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)) #s(literal -2 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.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 (cos (* 1/2 K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (* (cos (* 1/2 K)) -2) (*.f64 (cos.f64 (*.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)))) (fma.f64 (*.f64 (/.f64 (*.f64 U U) J) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal -1/4 binary64) (*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 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 (fma.f64 (*.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 3 binary64))) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) #s(literal 1/64 binary64) (*.f64 (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.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(literal -1/4 binary64))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 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 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 5 binary64))) (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)))) #s(literal -1/512 binary64) (*.f64 (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (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 U U) (*.f64 (/.f64 (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.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(literal -1/4 binary64))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 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 (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 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 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 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 (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 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 (* (* 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 (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 (fma.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 U U)) (pow.f64 J #s(literal 4 binary64)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 6 binary64))) #s(literal 1/1024 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 J #s(literal -4 binary64)))) (*.f64 U U) (*.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (* U U) (*.f64 U U))
#s(approx (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) (/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U))
#s(approx (neg U) (neg.f64 U))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (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)))))
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#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))
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#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)) #s(literal -2 binary64)) (*.f64 U U)) #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))
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#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)) U))
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#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) 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)))
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#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) #s(literal -2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U)))
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#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)))))
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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 (neg.f64 U) (-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64))))
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#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)) #s(literal -2 binary64)) (*.f64 U U)))) #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 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64))))
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#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 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U 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 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (+ (* (/ (pow (* (cos (* 1/2 K)) J) 2) U) -2) (neg U)) (*.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) #s(literal 1 binary64))))

eval66.0ms (1.4%)

Memory
-10.4MiB live, 133.2MiB allocated; 17ms collecting garbage
Compiler

Compiled 25 039 to 2 364 computations (90.6% saved)

prune21.0ms (0.5%)

Memory
4.1MiB live, 50.9MiB allocated; 3ms collecting garbage
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New42213435
Fresh325
Picked325
Done000
Total42817445
Accuracy
99.9%
Counts
445 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) U) #s(literal -2 binary64) (neg.f64 U)))
43.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(approx (pow (* (cos (* 1/2 K)) J) 2) (*.f64 J J)) U) #s(literal -2 binary64) (neg.f64 U)))
42.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))) J))
41.6%
#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)) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U))
53.7%
#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)))))
50.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
31.1%
#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 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))))
8.4%
#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 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
19.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 2 binary64))) J))
50.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
44.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
26.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)))
41.5%
#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 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)) U)))
8.6%
#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))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)))))
26.9%
#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))))
27.5%
#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))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 2 binary64)) J))))
10.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 1 705 to 1 070 computations (37.2% saved)

series72.0ms (1.5%)

Memory
13.5MiB live, 110.7MiB allocated; 12ms collecting garbage
Counts
40 → 209
Calls
Call 1
Inputs
#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)))))
(*.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))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#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)))
(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))
(/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)))
(*.f64 U U)
U
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))
(*.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)))) (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))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)) U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)) U))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)) U)
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
(*.f64 J J)
#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 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
(*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)
(+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 J (*.f64 U U))
(/.f64 #s(literal 1/2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* (* J -2) (cos (* 1/2 K))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* J -2) #s(hole binary64 (* -2 J)))
#s(approx J #s(hole binary64 J))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (pow J 2)) (pow J 2))))
#s(approx (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) #s(hole binary64 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
#s(approx (pow (* (cos (* 1/2 K)) J) 2) #s(hole binary64 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (* J (cos (* 1/2 K)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (* (- (/ (* -2 (* J J)) (* U U)) 1) U) #s(hole binary64 (* -1 U)))
#s(approx (* (- (/ (* -2 (* J J)) (* U U)) 1) U) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) #s(hole binary64 -1))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) #s(hole binary64 (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
#s(approx (/ (* -2 (* J J)) (* U U)) #s(hole binary64 (* -2 (/ (pow J 2) (pow U 2)))))
#s(approx (* -2 (* J J)) #s(hole binary64 (* -2 (pow J 2))))
#s(approx (* J J) #s(hole binary64 (pow J 2)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ 1/2 J)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ (+ 1/2 (/ (pow J 2) (pow U 2))) J)))
#s(approx (/ J (* U U)) #s(hole binary64 (/ J (pow U 2))))
#s(approx (/ 1/2 J) #s(hole binary64 (/ 1/2 J)))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) (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 (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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
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#s(approx (pow (* (cos (* 1/2 K)) J) 2) #s(hole binary64 (+ (* (pow K 2) (+ (* -1/4 (pow J 2)) (* (pow K 2) (+ (* -1/1440 (* (pow J 2) (pow K 2))) (* 1/48 (pow J 2)))))) (pow J 2))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 J))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* -1/8 (* J (pow K 2))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (+ (* J (* (pow K 2) (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2)))))) (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (+ (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)) (* (pow K 2) (+ (* J (* (pow K 2) (- (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) 1/192))) (* J (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2))))))))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (+ (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)) (* (pow K 2) (+ (* J (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* J (* (pow K 2) (+ 1/23040 (* 1/4 (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))))) (* J (- (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) 1/192)))))))))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2)))))) 2)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* (pow K 2) (- (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) 1/192)))))) 2)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* (pow K 2) (- (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ 1/23040 (* 1/4 (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))))) 1/192)))))) 2)))
#s(approx (* (cos (* 1/2 K)) -2) #s(hole binary64 -2))
#s(approx (* (cos (* 1/2 K)) -2) #s(hole binary64 (- (* 1/4 (pow K 2)) 2)))
#s(approx (* (cos (* 1/2 K)) -2) #s(hole binary64 (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)))
#s(approx (* (cos (* 1/2 K)) -2) #s(hole binary64 (- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* 1/2 K)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (* (cos (* 1/2 K)) -2) #s(hole binary64 (* -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 (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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 U) #s(hole binary64 (pow U 2)))
#s(approx U #s(hole binary64 U))
#s(approx (neg U) #s(hole binary64 (* -1 U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (* (- (/ (* -2 (* J J)) (* U U)) 1) U) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) (pow U 2))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (/ (+ J (* 1/2 (/ (pow U 2) J))) U)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ (+ J (* 1/2 (/ (pow U 2) J))) (pow U 2))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #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 (* 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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1 (pow U 2))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* 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 (* 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 U)) 1) U) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (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 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) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 U))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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)))))
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#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (* (* 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 U)) 1) U) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (* -1 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J)))))))
Calls

9 calls:

TimeVariablePointExpression
24.0ms
U
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (* (* J -2) (cos (* 1/2 K))) (* J -2) J -2 (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) (* U U) U (pow (* (cos (* 1/2 K)) J) 2) (* (cos (* 1/2 K)) J) 2 1/4 1 (* (* (* -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 U)) 1) U) (- (/ (* -2 (* J J)) (* U U)) 1) (/ (* -2 (* J J)) (* U U)) (* -2 (* J J)) (* J J) (* (* (* -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)) (* (+ (/ J (* U U)) (/ 1/2 J)) U) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (/ 1/2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (* (cos (* 1/2 K)) -2))
9.0ms
J
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (* (* J -2) (cos (* 1/2 K))) (* J -2) J -2 (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) (* U U) U (pow (* (cos (* 1/2 K)) J) 2) (* (cos (* 1/2 K)) J) 2 1/4 1 (* (* (* -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 U)) 1) U) (- (/ (* -2 (* J J)) (* U U)) 1) (/ (* -2 (* J J)) (* U U)) (* -2 (* J J)) (* J J) (* (* (* -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)) (* (+ (/ J (* U U)) (/ 1/2 J)) U) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (/ 1/2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (* (cos (* 1/2 K)) -2))
6.0ms
J
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (* (* J -2) (cos (* 1/2 K))) (* J -2) J -2 (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) (* U U) U (pow (* (cos (* 1/2 K)) J) 2) (* (cos (* 1/2 K)) J) 2 1/4 1 (* (* (* -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 U)) 1) U) (- (/ (* -2 (* J J)) (* U U)) 1) (/ (* -2 (* J J)) (* U U)) (* -2 (* J J)) (* J J) (* (* (* -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)) (* (+ (/ J (* U U)) (/ 1/2 J)) U) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (/ 1/2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (* (cos (* 1/2 K)) -2))
6.0ms
J
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (* (* J -2) (cos (* 1/2 K))) (* J -2) J -2 (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) (* U U) U (pow (* (cos (* 1/2 K)) J) 2) (* (cos (* 1/2 K)) J) 2 1/4 1 (* (* (* -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 U)) 1) U) (- (/ (* -2 (* J J)) (* U U)) 1) (/ (* -2 (* J J)) (* U U)) (* -2 (* J J)) (* J J) (* (* (* -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)) (* (+ (/ J (* U U)) (/ 1/2 J)) U) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (/ 1/2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (* (cos (* 1/2 K)) -2))
5.0ms
U
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (* (* J -2) (cos (* 1/2 K))) (* J -2) J -2 (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) (* U U) U (pow (* (cos (* 1/2 K)) J) 2) (* (cos (* 1/2 K)) J) 2 1/4 1 (* (* (* -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 U)) 1) U) (- (/ (* -2 (* J J)) (* U U)) 1) (/ (* -2 (* J J)) (* U U)) (* -2 (* J J)) (* J J) (* (* (* -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)) (* (+ (/ J (* U U)) (/ 1/2 J)) U) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (/ 1/2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (* (cos (* 1/2 K)) -2))

rewrite239.0ms (5.2%)

Memory
-19.3MiB live, 265.8MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094810344
09959781
154879204
081348823
Stop Event
iter-limit
node-limit
iter-limit
Counts
249 → 348
Calls
Call 1
Inputs
#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)))))
(*.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))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#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)))
(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))
(/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)))
(*.f64 U U)
U
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))
(*.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)))) (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))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)) U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)) U))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)) U)
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
(*.f64 J J)
#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 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
(*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)
(+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 J (*.f64 U U))
(/.f64 #s(literal 1/2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.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)))) #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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* (* J -2) (cos (* 1/2 K))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* J -2) #s(hole binary64 (* -2 J)))
#s(approx J #s(hole binary64 J))
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#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (pow J 2)) (pow J 2))))
#s(approx (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) #s(hole binary64 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
#s(approx (pow (* (cos (* 1/2 K)) J) 2) #s(hole binary64 (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (* J (cos (* 1/2 K)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (* (- (/ (* -2 (* J J)) (* U U)) 1) U) #s(hole binary64 (* -1 U)))
#s(approx (* (- (/ (* -2 (* J J)) (* U U)) 1) U) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) #s(hole binary64 -1))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) #s(hole binary64 (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
#s(approx (/ (* -2 (* J J)) (* U U)) #s(hole binary64 (* -2 (/ (pow J 2) (pow U 2)))))
#s(approx (* -2 (* J J)) #s(hole binary64 (* -2 (pow J 2))))
#s(approx (* J J) #s(hole binary64 (pow J 2)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ 1/2 J)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ (+ 1/2 (/ (pow J 2) (pow U 2))) J)))
#s(approx (/ J (* U U)) #s(hole binary64 (/ J (pow U 2))))
#s(approx (/ 1/2 J) #s(hole binary64 (/ 1/2 J)))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) (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 (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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
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#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (+ (* J (* (pow K 2) (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2)))))) (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (+ (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)) (* (pow K 2) (+ (* J (* (pow K 2) (- (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) 1/192))) (* J (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2))))))))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (+ (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)) (* (pow K 2) (+ (* J (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* J (* (pow K 2) (+ 1/23040 (* 1/4 (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))))) (* J (- (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) 1/192)))))))))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2)))))) 2)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* (pow K 2) (- (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) 1/192)))))) 2)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* (pow K 2) (- (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ 1/23040 (* 1/4 (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))))) 1/192)))))) 2)))
#s(approx (* (cos (* 1/2 K)) -2) #s(hole binary64 -2))
#s(approx (* (cos (* 1/2 K)) -2) #s(hole binary64 (- (* 1/4 (pow K 2)) 2)))
#s(approx (* (cos (* 1/2 K)) -2) #s(hole binary64 (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)))
#s(approx (* (cos (* 1/2 K)) -2) #s(hole binary64 (- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* 1/2 K)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (* (cos (* 1/2 K)) -2) #s(hole binary64 (* -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 (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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 U) #s(hole binary64 (pow U 2)))
#s(approx U #s(hole binary64 U))
#s(approx (neg U) #s(hole binary64 (* -1 U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (* (- (/ (* -2 (* J J)) (* U U)) 1) U) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) (pow U 2))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (/ (+ J (* 1/2 (/ (pow U 2) J))) U)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ (+ J (* 1/2 (/ (pow U 2) J))) (pow U 2))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #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 (* 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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1 (pow U 2))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* 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 (* 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 U)) 1) U) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (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 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) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 U))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (* (* 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 U)) 1) U) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (* -1 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J)))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
J
#s(literal -2 binary64)
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#s(literal 1/2 binary64)
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U
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#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (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 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J)))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
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#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (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)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #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 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J)) (pow.f64 (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)) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #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 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #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 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))))) (*.f64 K K) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))))
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#s(approx (* (* J -2) (cos (* 1/2 K))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* J -2) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))
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#s(approx (cos (* 1/2 K)) #s(literal 1 binary64))
#s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
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#s(approx (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (fma.f64 (*.f64 (*.f64 (*.f64 K K) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) (pow.f64 (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))) #s(literal 1/32 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #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 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (*.f64 K K))) (pow.f64 (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)) (*.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) (pow.f64 (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)))) (*.f64 K K) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #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 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (pow.f64 (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)) (*.f64 (*.f64 (fma.f64 (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 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #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 (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 K K)) (pow.f64 (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))))) (*.f64 K K) (*.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) (pow.f64 (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)))) (*.f64 K K) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (+.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (+.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 K K))))
#s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (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 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))) (*.f64 K K) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)))) (*.f64 K K) (*.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 K K) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
#s(approx (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))
#s(approx (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) (fma.f64 (*.f64 (*.f64 K K) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))
#s(approx (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 K K)) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 K K) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))
#s(approx (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (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 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))) (*.f64 K K))) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64))) (*.f64 K K) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 K K) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))
#s(approx (pow (* (cos (* 1/2 K)) J) 2) (*.f64 J J))
#s(approx (pow (* (cos (* 1/2 K)) J) 2) (fma.f64 (pow.f64 (*.f64 K J) #s(literal 2 binary64)) #s(literal -1/4 binary64) (*.f64 J J)))
#s(approx (pow (* (cos (* 1/2 K)) J) 2) (fma.f64 (fma.f64 (pow.f64 (*.f64 K J) #s(literal 2 binary64)) #s(literal 1/48 binary64) (*.f64 (*.f64 J J) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 J J)))
#s(approx (pow (* (cos (* 1/2 K)) J) 2) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 K J) #s(literal 2 binary64)) #s(literal -1/1440 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 J J))) (*.f64 K K) (*.f64 (*.f64 J J) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 J J)))
#s(approx (* (cos (* 1/2 K)) J) J)
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J))
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/384 binary64) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J))
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64) (*.f64 #s(literal 1/384 binary64) J)) (*.f64 K K) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) J))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (*.f64 J (fma.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 K K) (-.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (fma.f64 (*.f64 J (fma.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -5/384 binary64)) #s(literal 1/4 binary64)) #s(literal 1/192 binary64)) (*.f64 K K) (fma.f64 #s(literal -1/32 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (*.f64 K K) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) J)))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (fma.f64 (fma.f64 (*.f64 J (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3072 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -5/384 binary64)) #s(literal 1/8 binary64)))) #s(literal 1/4 binary64) #s(literal 1/23040 binary64)) (*.f64 K K) (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -5/384 binary64)) #s(literal 1/4 binary64)) #s(literal 1/192 binary64)))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) J)) (*.f64 K K) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) J)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 K K) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -5/384 binary64)) #s(literal 1/4 binary64)) #s(literal 1/192 binary64)) (*.f64 K K))) (*.f64 K K) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3072 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -5/384 binary64)) #s(literal 1/8 binary64)))) #s(literal 1/4 binary64) #s(literal 1/23040 binary64)) (*.f64 K K) (*.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -5/384 binary64)) #s(literal 1/4 binary64))) #s(literal 1/192 binary64)) (*.f64 K K) (*.f64 #s(literal -1/32 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (*.f64 K K) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
#s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64))
#s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
#s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)) (*.f64 K K)) #s(literal 2 binary64)))
#s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/23040 binary64) (*.f64 K K)) #s(literal 1/192 binary64)) (*.f64 K K) #s(literal 1/4 binary64)) (*.f64 K K)) #s(literal 2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (cos (* 1/2 K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (* (cos (* 1/2 K)) -2) (*.f64 (cos.f64 (*.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)))) (fma.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.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 (-.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.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 (-.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (fma.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (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) (*.f64 U U))
#s(approx U U)
#s(approx (neg 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 U)) 1) U) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) (*.f64 U U)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 4 binary64))) #s(literal -1/128 binary64) (*.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 6 binary64))) #s(literal 1/1024 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 J #s(literal -4 binary64)))) (*.f64 U U) (*.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (/.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/2 binary64) J) U))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/2 binary64) J) (*.f64 U U)))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (fma.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#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) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (*.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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (*.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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (*.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 (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (*.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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (*.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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (*.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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64)) U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) (/.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 (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (-.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) (/.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 (* (- (/ (* -2 (* J J)) (* U U)) 1) U) (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64)) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))) U))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) U))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) #s(literal -2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U U)))
#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) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) U)
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (*.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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (*.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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (*.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 (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (*.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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (*.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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (*.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 (* (* 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 (*.f64 J J) U) #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 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) (/.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) (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (-.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U) (/.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 (* (- (/ (* -2 (* J J)) (* U U)) 1) U) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 2 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 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (*.f64 (neg.f64 U) (-.f64 (neg.f64 (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1/2 binary64) J))))

eval54.0ms (1.2%)

Memory
15.7MiB live, 116.2MiB allocated; 13ms collecting garbage
Compiler

Compiled 24 704 to 2 148 computations (91.3% saved)

prune23.0ms (0.5%)

Memory
9.8MiB live, 56.6MiB allocated; 3ms collecting garbage
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New3777384
Fresh4610
Picked325
Done022
Total38417401
Accuracy
99.9%
Counts
401 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) U) #s(literal -2 binary64) (neg.f64 U)))
42.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))) J))
41.6%
#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)) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U))
53.7%
#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 #s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U) #s(literal 1 binary64))))))
50.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
8.4%
#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 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
32.2%
#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(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)) U))))
4.3%
#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)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (/.f64 J U)))))
50.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
24.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) J))
26.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64))) J))
44.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
26.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)))
9.5%
#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 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64)))))
8.6%
#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))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)))))
27.5%
#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))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 2 binary64)) J))))
10.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 1 697 to 1 045 computations (38.4% saved)

series125.0ms (2.7%)

Memory
29.1MiB live, 250.0MiB allocated; 56ms collecting garbage
Counts
47 → 245
Calls
Call 1
Inputs
#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 #s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U) #s(literal 1 binary64))))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 #s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(sqrt.f64 #s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U) #s(literal 1 binary64))))
#s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U) #s(literal 1 binary64)))
(fma.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U) #s(literal 1 binary64))
(*.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 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
#s(literal 1/4 binary64)
(*.f64 U 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(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64))) J))
(*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64))) J)
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64)))
#s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 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)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)) U))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)) U)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)) U))
(*.f64 #s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)) U)
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 #s(literal 1/2 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 (neg.f64 U) (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #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 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64))))
(*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64)))
(neg.f64 U)
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U)
(*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64))
(/.f64 (*.f64 J J) U)
(*.f64 J J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J))
(/.f64 (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 J J) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
#s(literal -1/4 binary64)
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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* (* J -2) (cos (* 1/2 K))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* J -2) #s(hole binary64 (* -2 J)))
#s(approx J #s(hole binary64 J))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (pow J 2)) (pow J 2))))
#s(approx (+ (* (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (* U U)) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (+ (* (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (* U U)) 1) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (pow J 2)) (pow J 2))))
#s(approx (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) #s(hole binary64 (/ 1/4 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
#s(approx (pow (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (* J (cos (* 1/2 K)))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) (pow J 2))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ 1/2 J)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ (+ 1/2 (/ (pow J 2) (pow U 2))) J)))
#s(approx (/ 1/2 J) #s(hole binary64 (/ 1/2 J)))
#s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) #s(hole binary64 U))
#s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) #s(hole binary64 (+ U (* 2 (/ (pow J 2) U)))))
#s(approx (- (/ (* (/ (* J J) U) -2) U) 1) #s(hole binary64 -1))
#s(approx (- (/ (* (/ (* J J) U) -2) U) 1) #s(hole binary64 (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
#s(approx (/ (* (/ (* J J) U) -2) U) #s(hole binary64 (* -2 (/ (pow J 2) (pow U 2)))))
#s(approx (* (/ (* J J) U) -2) #s(hole binary64 (* -2 (/ (pow J 2) U))))
#s(approx (/ (* J J) U) #s(hole binary64 (/ (pow J 2) U)))
#s(approx (* J J) #s(hole binary64 (pow J 2)))
#s(approx (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) #s(hole binary64 (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))))
#s(approx (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) #s(hole binary64 (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)))
#s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) #s(hole binary64 (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))))
#s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) #s(hole binary64 (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K)))))))
#s(approx (* (* J J) -2) #s(hole binary64 (* -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 (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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
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#s(approx (pow (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (/ 1 (pow J 2))))
#s(approx (pow (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* 1/4 (/ (pow K 2) (pow J 2))) (/ 1 (pow J 2)))))
#s(approx (pow (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* (pow K 2) (+ (* 1/24 (/ (pow K 2) (pow J 2))) (* 1/4 (/ 1 (pow J 2))))) (/ 1 (pow J 2)))))
#s(approx (pow (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* (pow K 2) (+ (* (pow K 2) (+ (* 17/2880 (/ (pow K 2) (pow J 2))) (* 1/24 (/ 1 (pow J 2))))) (* 1/4 (/ 1 (pow J 2))))) (/ 1 (pow J 2)))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 J))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* -1/8 (* J (pow K 2))))))
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#s(approx (* (cos (* 1/2 K)) -2) #s(hole binary64 -2))
#s(approx (* (cos (* 1/2 K)) -2) #s(hole binary64 (- (* 1/4 (pow K 2)) 2)))
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#s(approx (/ (* -1/4 (* U U)) (cos (* 1/2 K))) #s(hole binary64 (* -1/4 (/ (pow U 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 (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
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#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))))))))))
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#s(approx (* U U) #s(hole binary64 (pow U 2)))
#s(approx U #s(hole binary64 U))
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#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))))
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#s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) #s(hole binary64 (* (pow U 2) (- (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (cos (* 1/2 K))))))))
#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) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 U))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (* (* 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 (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (* -1 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J)))))))
#s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
Calls

9 calls:

TimeVariablePointExpression
23.0ms
J
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (* (* J -2) (cos (* 1/2 K))) (* J -2) J -2 (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (+ (* (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (* U U)) 1) (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (pow (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) 1/4 (* U U) U 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (* (cos (* 1/2 K)) -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)) (* (+ (/ J (* U U)) (/ 1/2 J)) U) (+ (/ J (* U U)) (/ 1/2 J)) (/ 1/2 J) (* (* (* -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) U) -2) U) 1)) (neg U) (- (/ (* (/ (* J J) U) -2) U) 1) (/ (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (/ (* J J) U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (* (* J J) -2) (/ (* -1/4 (* U U)) (cos (* 1/2 K))) (* -1/4 (* U U)) -1/4)
18.0ms
K
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (* (* J -2) (cos (* 1/2 K))) (* J -2) J -2 (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (+ (* (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (* U U)) 1) (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (pow (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) 1/4 (* U U) U 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (* (cos (* 1/2 K)) -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)) (* (+ (/ J (* U U)) (/ 1/2 J)) U) (+ (/ J (* U U)) (/ 1/2 J)) (/ 1/2 J) (* (* (* -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) U) -2) U) 1)) (neg U) (- (/ (* (/ (* J J) U) -2) U) 1) (/ (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (/ (* J J) U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (* (* J J) -2) (/ (* -1/4 (* U U)) (cos (* 1/2 K))) (* -1/4 (* U U)) -1/4)
17.0ms
J
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (* (* J -2) (cos (* 1/2 K))) (* J -2) J -2 (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (+ (* (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (* U U)) 1) (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (pow (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) 1/4 (* U U) U 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (* (cos (* 1/2 K)) -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)) (* (+ (/ J (* U U)) (/ 1/2 J)) U) (+ (/ J (* U U)) (/ 1/2 J)) (/ 1/2 J) (* (* (* -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) U) -2) U) 1)) (neg U) (- (/ (* (/ (* J J) U) -2) U) 1) (/ (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (/ (* J J) U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (* (* J J) -2) (/ (* -1/4 (* U U)) (cos (* 1/2 K))) (* -1/4 (* U U)) -1/4)
17.0ms
U
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (* (* J -2) (cos (* 1/2 K))) (* J -2) J -2 (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (+ (* (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (* U U)) 1) (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (pow (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) 1/4 (* U U) U 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (* (cos (* 1/2 K)) -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)) (* (+ (/ J (* U U)) (/ 1/2 J)) U) (+ (/ J (* U U)) (/ 1/2 J)) (/ 1/2 J) (* (* (* -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) U) -2) U) 1)) (neg U) (- (/ (* (/ (* J J) U) -2) U) 1) (/ (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (/ (* J J) U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (* (* J J) -2) (/ (* -1/4 (* U U)) (cos (* 1/2 K))) (* -1/4 (* U U)) -1/4)
15.0ms
K
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (* (* J -2) (cos (* 1/2 K))) (* J -2) J -2 (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (+ (* (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (* U U)) 1) (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (pow (* (cos (* 1/2 K)) J) -2) (* (cos (* 1/2 K)) J) 1/4 (* U U) U 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (* (cos (* 1/2 K)) -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)) (* (+ (/ J (* U U)) (/ 1/2 J)) U) (+ (/ J (* U U)) (/ 1/2 J)) (/ 1/2 J) (* (* (* -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) U) -2) U) 1)) (neg U) (- (/ (* (/ (* J J) U) -2) U) 1) (/ (* (/ (* J J) U) -2) U) (* (/ (* J J) U) -2) (/ (* J J) U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (* (* J J) -2) (/ (* -1/4 (* U U)) (cos (* 1/2 K))) (* -1/4 (* U U)) -1/4)

rewrite279.0ms (6%)

Memory
1.0MiB live, 290.3MiB allocated; 78ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109712244
0114911592
1647311471
0871710964
Stop Event
iter-limit
node-limit
iter-limit
Counts
292 → 387
Calls
Call 1
Inputs
#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 #s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U) #s(literal 1 binary64))))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 #s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(sqrt.f64 #s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U) #s(literal 1 binary64))))
#s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U) #s(literal 1 binary64)))
(fma.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U) #s(literal 1 binary64))
(*.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 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
#s(literal 1/4 binary64)
(*.f64 U 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(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64))) J))
(*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64))) J)
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64)))
#s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 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)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)) U))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)) U)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)) U))
(*.f64 #s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)) U)
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 #s(literal 1/2 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 (neg.f64 U) (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #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 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64))))
(*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64)))
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#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))))))))))))))))))
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#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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))))))))))))))))))
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#s(approx (* (* J -2) (cos (* 1/2 K))) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (* J -2) (cos (* 1/2 K))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (* J -2) (cos (* 1/2 K))) #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 (* 1/2 K)) #s(hole binary64 1))
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#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (* 1/2 K) #s(hole binary64 (* 1/2 K)))
#s(approx K #s(hole binary64 K))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
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#s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) #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 (* (cos (* 1/2 K)) J) -2) 1/4) (* U U)) 1) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (+ (* (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (* U U)) 1) #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 (+ (* (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (* U U)) 1) #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 (+ (* (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (* U U)) 1) #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 (* (cos (* 1/2 K)) J) -2) 1/4) #s(hole binary64 (/ 1/4 (pow J 2))))
#s(approx (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) #s(hole binary64 (+ (* 1/16 (/ (pow K 2) (pow J 2))) (* 1/4 (/ 1 (pow J 2))))))
#s(approx (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) #s(hole binary64 (+ (* (pow K 2) (+ (* 1/96 (/ (pow K 2) (pow J 2))) (* 1/16 (/ 1 (pow J 2))))) (* 1/4 (/ 1 (pow J 2))))))
#s(approx (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) #s(hole binary64 (+ (* (pow K 2) (+ (* (pow K 2) (+ (* 17/11520 (/ (pow K 2) (pow J 2))) (* 1/96 (/ 1 (pow J 2))))) (* 1/16 (/ 1 (pow J 2))))) (* 1/4 (/ 1 (pow J 2))))))
#s(approx (pow (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (/ 1 (pow J 2))))
#s(approx (pow (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* 1/4 (/ (pow K 2) (pow J 2))) (/ 1 (pow J 2)))))
#s(approx (pow (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* (pow K 2) (+ (* 1/24 (/ (pow K 2) (pow J 2))) (* 1/4 (/ 1 (pow J 2))))) (/ 1 (pow J 2)))))
#s(approx (pow (* (cos (* 1/2 K)) J) -2) #s(hole binary64 (+ (* (pow K 2) (+ (* (pow K 2) (+ (* 17/2880 (/ (pow K 2) (pow J 2))) (* 1/24 (/ 1 (pow J 2))))) (* 1/4 (/ 1 (pow J 2))))) (/ 1 (pow J 2)))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 J))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* -1/8 (* J (pow K 2))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
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#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (+ (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)) (* (pow K 2) (+ (* J (* (pow K 2) (- (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) 1/192))) (* J (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2))))))))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (+ (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)) (* (pow K 2) (+ (* J (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* J (* (pow K 2) (+ 1/23040 (* 1/4 (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))))) (* J (- (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) 1/192)))))))))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2)))))) 2)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* (pow K 2) (- (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) 1/192)))))) 2)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* (pow K 2) (- (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ 1/23040 (* 1/4 (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))))) 1/192)))))) 2)))
#s(approx (* (cos (* 1/2 K)) -2) #s(hole binary64 -2))
#s(approx (* (cos (* 1/2 K)) -2) #s(hole binary64 (- (* 1/4 (pow K 2)) 2)))
#s(approx (* (cos (* 1/2 K)) -2) #s(hole binary64 (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2)))
#s(approx (* (cos (* 1/2 K)) -2) #s(hole binary64 (- (* (pow K 2) (+ 1/4 (* (pow K 2) (- (* 1/23040 (pow K 2)) 1/192)))) 2)))
#s(approx (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) J)))
#s(approx (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) #s(hole binary64 (+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 J)))))))
#s(approx (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) #s(hole binary64 (+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/4 (/ (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2))) J)))))))))))
#s(approx (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) #s(hole binary64 (+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (+ (* 1/4 (/ (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2))) J)) (* (pow K 2) (+ (* 1/23040 J) (* 1/4 (/ (+ (* -1/46080 (pow U 2)) (+ (* 1/3072 (pow U 2)) (* 1/8 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))) J))))))))))))))
#s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) #s(hole binary64 (+ (* -2 (pow J 2)) (* -1/4 (pow U 2)))))
#s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) #s(hole binary64 (+ (* -2 (pow J 2)) (+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/4 (pow J 2))))))))
#s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) #s(hole binary64 (+ (* -2 (pow J 2)) (+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (+ (* 1/4 (pow J 2)) (* (pow K 2) (+ (* -1/192 (pow J 2)) (* 1/4 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))))))))
#s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) #s(hole binary64 (+ (* -2 (pow J 2)) (+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (+ (* 1/4 (pow J 2)) (* (pow K 2) (+ (* -1/192 (pow J 2)) (+ (* 1/4 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))) (* (pow K 2) (+ (* 1/23040 (pow J 2)) (* 1/4 (+ (* -1/46080 (pow U 2)) (+ (* 1/3072 (pow U 2)) (* 1/8 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))))))))))))))
#s(approx (/ (* -1/4 (* U U)) (cos (* 1/2 K))) #s(hole binary64 (* -1/4 (pow U 2))))
#s(approx (/ (* -1/4 (* U U)) (cos (* 1/2 K))) #s(hole binary64 (+ (* -1/4 (pow U 2)) (* -1/32 (* (pow K 2) (pow U 2))))))
#s(approx (/ (* -1/4 (* U U)) (cos (* 1/2 K))) #s(hole binary64 (+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* 1/4 (* (pow K 2) (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2))))))))))
#s(approx (/ (* -1/4 (* U U)) (cos (* 1/2 K))) #s(hole binary64 (+ (* -1/4 (pow U 2)) (* (pow K 2) (+ (* -1/32 (pow U 2)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (pow U 2)) (+ (* 1/3072 (pow U 2)) (* 1/8 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 2)))))))) (* 1/4 (+ (* -1/64 (pow U 2)) (* 1/384 (pow U 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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* 1/2 K)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (* (cos (* 1/2 K)) -2) #s(hole binary64 (* -2 (cos (* 1/2 K)))))
#s(approx (/ (* -1/4 (* U U)) (cos (* 1/2 K))) #s(hole binary64 (* -1/4 (/ (pow U 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 (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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 U) #s(hole binary64 (pow U 2)))
#s(approx U #s(hole binary64 U))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (/ (+ J (* 1/2 (/ (pow U 2) J))) U)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ (+ J (* 1/2 (/ (pow U 2) J))) (pow U 2))))
#s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) #s(hole binary64 (/ (+ (* 2 (pow J 2)) (pow U 2)) U)))
#s(approx (neg U) #s(hole binary64 (* -1 U)))
#s(approx (- (/ (* (/ (* J J) U) -2) U) 1) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) (pow U 2))))
#s(approx (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* -1/4 (* U U)) #s(hole binary64 (* -1/4 (pow U 2))))
#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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1 (pow U 2))))))
#s(approx (+ (* (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (* U U)) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1 (pow U 2))))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) #s(hole binary64 (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(hole binary64 (* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* 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 (* 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 (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
#s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) #s(hole binary64 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2)))))))
#s(approx (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) #s(hole binary64 (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))))
#s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) #s(hole binary64 (* (pow U 2) (- (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (cos (* 1/2 K))))))))
#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) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 U))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) #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 (* (* 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 (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) #s(hole binary64 (* -1 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J)))))))
#s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 #s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 1 binary64))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 #s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 1 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 #s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 1 binary64))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
J
#s(literal -2 binary64)
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
(pow.f64 (sqrt.f64 #s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) #s(literal 1 binary64)))) #s(literal 1 binary64))
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#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (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 (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 U U) J)) (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 1/32 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 (*.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))))) #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 (* (* J -2) (cos (* 1/2 K))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* J -2) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (cos (* 1/2 K))) (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 (* (* J -2) (cos (* 1/2 K))) (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 (* 1/2 K)) #s(literal 1 binary64))
#s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (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 (* 1/2 K)) (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 (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
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#s(approx (+ (* (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (* U U)) 1) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (* U U)) 1) (+.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 (+ (* (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (* U U)) 1) (+.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)))
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#s(approx (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (fma.f64 (fma.f64 (fma.f64 #s(literal 17/11520 binary64) (/.f64 (*.f64 K K) (*.f64 J J)) (*.f64 #s(literal 1/96 binary64) (pow.f64 J #s(literal -2 binary64)))) (*.f64 K K) (*.f64 #s(literal 1/16 binary64) (pow.f64 J #s(literal -2 binary64)))) (*.f64 K K) (*.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal 1/4 binary64))))
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#s(approx (* (cos (* 1/2 K)) J) J)
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/8 binary64) J))
#s(approx (* (cos (* 1/2 K)) J) (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/384 binary64) (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J))
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#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J)) #s(literal 2 binary64)) J))
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#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (fma.f64 (*.f64 J (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -5/384 binary64)) #s(literal 1/4 binary64)) #s(literal 1/192 binary64)) (*.f64 K K) (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)))) (*.f64 K K) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J)) #s(literal 2 binary64)) J)))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (fma.f64 (fma.f64 (*.f64 J (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -5/384 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/3072 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1/4 binary64) #s(literal 1/23040 binary64)) (*.f64 K K) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -5/384 binary64)) #s(literal 1/4 binary64)) #s(literal 1/192 binary64)))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) J)) (*.f64 K K) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J)) #s(literal 2 binary64)) J)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J)) #s(literal 2 binary64)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (*.f64 K K) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -5/384 binary64)) #s(literal 1/4 binary64)) #s(literal 1/192 binary64)) (*.f64 K K) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1/4 binary64)) (*.f64 K K) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -5/384 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/3072 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1/4 binary64) #s(literal 1/23040 binary64)) (*.f64 K K) (*.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -5/384 binary64)) #s(literal 1/4 binary64))) #s(literal 1/192 binary64)) (*.f64 K K) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1/4 binary64)) (*.f64 K K) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))) #s(literal 2 binary64)))
#s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64))
#s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
#s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 K K) #s(literal 1/4 binary64)) (*.f64 K K)) #s(literal 2 binary64)))
#s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/23040 binary64) (*.f64 K K)) #s(literal 1/192 binary64)) (*.f64 K K) #s(literal 1/4 binary64)) (*.f64 K K)) #s(literal 2 binary64)))
#s(approx (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) (/.f64 (fma.f64 (*.f64 U U) #s(literal -1/4 binary64) (*.f64 (*.f64 J J) #s(literal -2 binary64))) J))
#s(approx (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) (fma.f64 J #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)))))
#s(approx (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) (fma.f64 J #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -5/384 binary64)) J) #s(literal 1/4 binary64) (*.f64 #s(literal -1/192 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J))) (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)))))
#s(approx (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) (fma.f64 J #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (fma.f64 (fma.f64 #s(literal -1/192 binary64) J (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 U U) (fma.f64 (*.f64 (*.f64 U U) #s(literal -5/384 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/3072 binary64) (*.f64 U U)))) J) #s(literal 1/4 binary64) (*.f64 #s(literal 1/23040 binary64) J)) (*.f64 K K) (*.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -5/384 binary64)) J) #s(literal 1/4 binary64)))) (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J))) (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (fma.f64 (*.f64 U U) #s(literal -1/4 binary64) (*.f64 (*.f64 J J) #s(literal -2 binary64))))
#s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (fma.f64 (*.f64 J J) #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) U) U (*.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 U U) (*.f64 (*.f64 J J) #s(literal 1/4 binary64))) (*.f64 K K)))))
#s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (fma.f64 (*.f64 J J) #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) U) U (*.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 U U) (fma.f64 (fma.f64 (*.f64 (*.f64 U U) #s(literal -5/384 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 J J))) (*.f64 K K) (*.f64 (*.f64 J J) #s(literal 1/4 binary64)))) (*.f64 K K)))))
#s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (fma.f64 (*.f64 J J) #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) U) U (*.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 U U) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 J J) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 U U) (fma.f64 (*.f64 (*.f64 U U) #s(literal -5/384 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/3072 binary64) (*.f64 U U)))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/23040 binary64) (*.f64 J J))) (*.f64 K K) (*.f64 (*.f64 (*.f64 U U) #s(literal -5/384 binary64)) #s(literal 1/4 binary64)))) (*.f64 K K) (*.f64 (*.f64 J J) #s(literal 1/4 binary64)))) (*.f64 K K)))))
#s(approx (/ (* -1/4 (* U U)) (cos (* 1/2 K))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64)))
#s(approx (/ (* -1/4 (* U U)) (cos (* 1/2 K))) (fma.f64 #s(literal -1/32 binary64) (pow.f64 (*.f64 K U) #s(literal 2 binary64)) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))))
#s(approx (/ (* -1/4 (* U U)) (cos (* 1/2 K))) (fma.f64 (*.f64 #s(literal -1/4 binary64) U) U (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 U U) #s(literal -5/384 binary64)) (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 #s(literal -1/32 binary64) (*.f64 U U))) (*.f64 K K))))
#s(approx (/ (* -1/4 (* U U)) (cos (* 1/2 K))) (fma.f64 (*.f64 #s(literal -1/4 binary64) U) U (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 U U) (fma.f64 (*.f64 (*.f64 U U) #s(literal -5/384 binary64)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/3072 binary64) (*.f64 U U)))) (*.f64 K K) (*.f64 (*.f64 U U) #s(literal -5/384 binary64)))) (*.f64 K K) (*.f64 #s(literal -1/32 binary64) (*.f64 U U))) (*.f64 K K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (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 (* 1/2 K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (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 (* 1/2 K)) -2) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
#s(approx (/ (* -1/4 (* U U)) (cos (* 1/2 K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 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 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.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 (-.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.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 (-.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (fma.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64))) #s(literal -1/128 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (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 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (* U U) (*.f64 U U))
#s(approx U U)
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (fma.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#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 (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 4 binary64))) #s(literal -1/128 binary64) (*.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 6 binary64))) #s(literal 1/1024 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 J #s(literal -4 binary64)))) (*.f64 U U) (*.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (/.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/2 binary64) J) U))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/2 binary64) J) (*.f64 U U)))
#s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) (/.f64 (fma.f64 (*.f64 J J) #s(literal 2 binary64) (*.f64 U U)) U))
#s(approx (neg U) (neg.f64 U))
#s(approx (- (/ (* (/ (* J J) U) -2) U) 1) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) (*.f64 U U)))
#s(approx (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) (fma.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* -1/4 (* U U)) (*.f64 (*.f64 U U) #s(literal -1/4 binary64)))
#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) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (*.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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (*.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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (*.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 (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (*.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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (*.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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (*.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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (*.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 (+ (* (* (pow (* (cos (* 1/2 K)) J) -2) 1/4) (* U U)) 1) (*.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 (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) #s(literal -2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 U 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 (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 (/.f64 J U) U)) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 (/.f64 J U) U))) U))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 (/.f64 J U) U)))) U))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 (/.f64 J U) U)) U))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 (/.f64 J U) U)))
#s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))
#s(approx (/ (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) J) (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U)))
#s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U)))
#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) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) U)
#s(approx (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (*.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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (*.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 (* (* (* J -2) (cos (* 1/2 K))) (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1))) (*.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 (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (sqrt (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (*.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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (*.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 (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1)) (*.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 (* (* 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 (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 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 (/.f64 J U) U))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 (/.f64 J U) U)))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 (/.f64 J U) U))))))
#s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (*.f64 (neg.f64 U) (-.f64 (neg.f64 (/.f64 (/.f64 J U) U)) (/.f64 #s(literal 1/2 binary64) J))))
#s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64))))

eval59.0ms (1.3%)

Memory
-31.9MiB live, 107.8MiB allocated; 13ms collecting garbage
Compiler

Compiled 31 498 to 2 435 computations (92.3% saved)

prune32.0ms (0.7%)

Memory
17.7MiB live, 71.2MiB allocated; 4ms collecting garbage
Pruning

21 alts after pruning (14 fresh and 7 done)

PrunedKeptTotal
New4117418
Fresh178
Picked235
Done044
Total41421435
Accuracy
100.0%
Counts
435 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) U) #s(literal -2 binary64) (neg.f64 U)))
42.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))) J))
41.6%
#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)) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U))
53.7%
#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 #s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U) #s(literal 1 binary64))))))
36.9%
#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 #s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (*.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))))))
50.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
8.4%
#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 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
32.2%
#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(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J)) U))))
4.3%
#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)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (/.f64 J U)))))
50.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
24.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) J))
26.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64))) J))
44.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
7.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) J)))
11.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (-.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
10.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 #s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (fma.f64 (*.f64 J J) #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) U) U (*.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 U U) (*.f64 (*.f64 J J) #s(literal 1/4 binary64))) (*.f64 K K))))) J)))
26.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 #s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (*.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)))
27.5%
#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))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 2 binary64)) J))))
2.5%
#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) U) -2) U) 1)) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 2 binary64)))))
5.6%
#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) U) -2) U) 1)) (*.f64 (+.f64 (/.f64 U (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J)))))
10.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 3 583 to 1 071 computations (70.1% saved)

regimes64.0ms (1.4%)

Memory
21.7MiB live, 114.1MiB allocated; 5ms collecting garbage
Counts
38 → 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 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #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))) #s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 2 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)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (/.f64 J U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(approx (pow (* (cos (* 1/2 K)) J) 2) (*.f64 J 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(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #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))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.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))) #s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) (*.f64 (+.f64 (/.f64 U (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J 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))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #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 (neg.f64 U) (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #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)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) 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 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#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 (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 #s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (fma.f64 (*.f64 J J) #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) U) U (*.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 U U) (*.f64 (*.f64 J J) #s(literal 1/4 binary64))) (*.f64 K K))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 2 binary64))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.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)))) (*.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)))) #s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 #s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (*.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (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)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) 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 (*.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 (-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 U U)) #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 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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U 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)))) #s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U 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 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 #s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 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 (*.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)))))
(*.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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 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 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 #s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (*.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))))))
(*.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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.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)))) #s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (-.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (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)))) #s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) J)))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(approx (pow (* (cos (* 1/2 K)) J) 2) (*.f64 J J)) U) #s(literal -2 binary64) (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 (/.f64 K #s(literal 2 binary64))))) #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:

11.0ms
K
10.0ms
U
10.0ms
(*.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)))))
10.0ms
(/.f64 K #s(literal 2 binary64))
10.0ms
J
Results
AccuracySegmentsBranch
71.7%1(/.f64 K #s(literal 2 binary64))
71.7%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
99.5%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)))))
85.6%2J
71.7%1K
80.6%2U
Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes11.0ms (0.2%)

Memory
-26.4MiB live, 20.5MiB allocated; 2ms 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 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #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))) #s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 2 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)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (/.f64 J U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(approx (pow (* (cos (* 1/2 K)) J) 2) (*.f64 J 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(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #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))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.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))) #s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) (*.f64 (+.f64 (/.f64 U (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J 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))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #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 (neg.f64 U) (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #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)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) 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 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#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 (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 #s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (fma.f64 (*.f64 J J) #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) U) U (*.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 U U) (*.f64 (*.f64 J J) #s(literal 1/4 binary64))) (*.f64 K K))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 2 binary64))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.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)))) (*.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)))) #s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 #s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (*.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (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)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) 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 (*.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 (-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 U U)) #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 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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U 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)))) #s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U 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 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 #s(approx (+ (* (/ (* U U) (pow (* (cos (* 1/2 K)) J) 2)) 1/4) 1) (fma.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 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 (*.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)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(approx (pow (* (cos (* 1/2 K)) J) 2) (*.f64 J J)) U) #s(literal -2 binary64) (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:

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
90.6%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)

regimes24.0ms (0.5%)

Memory
-5.6MiB live, 44.8MiB allocated; 3ms collecting garbage
Counts
26 → 5
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 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #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))) #s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 2 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)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (/.f64 J U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(approx (pow (* (cos (* 1/2 K)) J) 2) (*.f64 J 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(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #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))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.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))) #s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) (*.f64 (+.f64 (/.f64 U (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J 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))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #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 (neg.f64 U) (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #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)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) 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 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#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 (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 #s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (fma.f64 (*.f64 J J) #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) U) U (*.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 U U) (*.f64 (*.f64 J J) #s(literal 1/4 binary64))) (*.f64 K K))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 2 binary64))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.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)))) (*.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)))) #s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 #s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (*.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (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)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) 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 (*.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 (-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 U U)) #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 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)))) (fma.f64 (/.f64 #s(approx (pow (* (cos (* 1/2 K)) J) 2) (*.f64 J 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)) (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 (*.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(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.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)))) U)
Calls

3 calls:

9.0ms
U
7.0ms
J
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
72.2%2U
72.3%2J
83.6%5(*.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)

regimes7.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Counts
20 → 5
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 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #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))) #s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 2 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)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (/.f64 J U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(approx (pow (* (cos (* 1/2 K)) J) 2) (*.f64 J 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(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #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))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.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))) #s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) (*.f64 (+.f64 (/.f64 U (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J 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))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #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 (neg.f64 U) (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #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)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) 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 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#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 (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 #s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (fma.f64 (*.f64 J J) #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) U) U (*.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 U U) (*.f64 (*.f64 J J) #s(literal 1/4 binary64))) (*.f64 K K))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 2 binary64))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.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)))) (fma.f64 (/.f64 #s(approx (pow (* (cos (* 1/2 K)) J) 2) (*.f64 J 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 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.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)))) (*.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(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.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)))) U)
Calls

1 calls:

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
83.6%5(*.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)

regimes34.0ms (0.7%)

Memory
17.5MiB live, 63.9MiB allocated; 2ms collecting garbage
Counts
19 → 5
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 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #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))) #s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 2 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)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (/.f64 J U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(approx (pow (* (cos (* 1/2 K)) J) 2) (*.f64 J 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(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #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))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.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))) #s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) (*.f64 (+.f64 (/.f64 U (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J 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))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #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 (neg.f64 U) (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #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)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) 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 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#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 (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (/.f64 #s(approx (+ (* (* (* J J) -2) (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (cos (* 1/2 K)))) (fma.f64 (*.f64 J J) #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) U) U (*.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 U U) (*.f64 (*.f64 J J) #s(literal 1/4 binary64))) (*.f64 K K))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (*.f64 K K) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 2 binary64))) J))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(approx (pow (* (cos (* 1/2 K)) J) 2) (*.f64 J 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)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 2 binary64)) J))))
#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)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

6 calls:

6.0ms
K
5.0ms
(/.f64 K #s(literal 2 binary64))
5.0ms
U
5.0ms
J
5.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
55.9%2U
55.9%2J
53.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
44.2%1(/.f64 K #s(literal 2 binary64))
44.2%1K
69.1%5(*.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 34 to 37 computations (-8.8% saved)

regimes7.0ms (0.1%)

Memory
-37.2MiB live, 9.5MiB allocated; 1ms collecting garbage
Counts
16 → 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 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #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))) #s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 2 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)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (/.f64 J U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(approx (pow (* (cos (* 1/2 K)) J) 2) (*.f64 J 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(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #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))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.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))) #s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) (*.f64 (+.f64 (/.f64 U (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J 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))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #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 (neg.f64 U) (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #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)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) 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 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(approx (pow (* (cos (* 1/2 K)) J) 2) (*.f64 J 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)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 2 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

1 calls:

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
61.1%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)

regimes4.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Counts
12 → 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 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #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))) #s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 2 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)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(approx (* (+ (/ J (* U U)) (/ 1/2 J)) U) (/.f64 J U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(approx (pow (* (cos (* 1/2 K)) J) 2) (*.f64 J 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(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #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))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.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))) #s(approx (* (neg U) (- (/ (* (/ (* J J) U) -2) U) 1)) (*.f64 (+.f64 (/.f64 U (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J)))))
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 #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:

3.0ms
(*.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
61.0%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)

regimes6.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms 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

4 calls:

1.0ms
J
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
U
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
53.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
44.2%1J
44.2%1U
53.6%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 30 to 29 computations (3.3% saved)

regimes7.0ms (0.2%)

Memory
-31.8MiB live, 15.3MiB allocated; 2ms 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:

2.0ms
(/.f64 K #s(literal 2 binary64))
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
U
1.0ms
K
1.0ms
J
Results
AccuracySegmentsBranch
10.8%1(/.f64 K #s(literal 2 binary64))
10.8%1K
10.8%1U
10.8%1J
10.8%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)))))
10.8%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 34 to 37 computations (-8.8% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.09994068574259e+304
5.1287883050983604e+306
0.0ms
-inf
-8.773619619664453e+307
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.09994068574259e+304
5.1287883050983604e+306
0.0ms
-inf
-8.773619619664453e+307
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.09994068574259e+304
5.1287883050983604e+306
0.0ms
-2.0348146734538582e-12
-6.193283404088499e-19
0.0ms
-8.274924041951158e+151
-2.2225308856256985e+149
0.0ms
-inf
-8.773619619664453e+307
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
2.09994068574259e+304
5.1287883050983604e+306
0.0ms
-2.0348146734538582e-12
-6.193283404088499e-19
0.0ms
-8.274924041951158e+151
-2.2225308856256985e+149
0.0ms
-inf
-8.773619619664453e+307
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
-8.099165920027058e-284
5.380710948402324e-167
0.0ms
-3.9488430874115775e-93
-1.611952516283203e-95
0.0ms
-3.454392293045851e+154
-2.425647896512691e+154
0.0ms
-inf
-8.773619619664453e+307
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
-8.099165920027058e-284
5.380710948402324e-167
0.0ms
-inf
-8.773619619664453e+307
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
-8.099165920027058e-284
5.380710948402324e-167
0.0ms
-2.0948316478801625e+280
-6.829023678859935e+279
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch31.0ms (0.7%)

Memory
-2.6MiB live, 47.2MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
-0.014443781970997221
0.03384422765435287
Samples
19.0ms240×0valid
Compiler

Compiled 819 to 609 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult!: 5.0ms (44.8% of total)
ival-pow2: 3.0ms (26.9% of total)
ival-sqrt: 2.0ms (17.9% of total)
ival-add!: 1.0ms (9% of total)
ival-div!: 1.0ms (9% of total)
adjust: 0.0ms (0% of total)

derivations218.0ms (4.7%)

Memory
17.0MiB live, 258.8MiB allocated; 13ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 645 to 128 computations (92.2% saved)

preprocess348.0ms (7.5%)

Memory
-20.5MiB live, 450.2MiB allocated; 45ms collecting garbage
Remove

(negabs J)

(abs U)

(abs K)

Compiler

Compiled 19 684 to 5 258 computations (73.3% saved)

end0.0ms (0%)

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

Profiling

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