Maksimov and Kolovsky, Equation (3)

Time bar (total: 5.2s)

start0.0ms (0%)

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

analyze275.0ms (5.3%)

Memory
-9.0MiB live, 525.1MiB allocated; 71ms collecting garbage
Algorithm
1×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)

sample1.3s (25.8%)

Memory
77.6MiB live, 2 195.4MiB allocated; 200ms collecting garbage
Samples
961.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 684.0ms
ival-cos: 200.0ms (29.2% of total)
ival-mult!: 194.0ms (28.3% of total)
ival-pow2: 136.0ms (19.9% of total)
ival-div!: 78.0ms (11.4% of total)
ival-sqrt: 55.0ms (8% of total)
ival-add!: 20.0ms (2.9% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain496.0ms (9.5%)

Memory
-28.3MiB live, 582.3MiB allocated; 321ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
360-0-(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))))
340-0-(*.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 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
00-0-(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
00-0-K
00-0-(/.f64 K #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
0112(1.8306939080088828e+217 -3.788271870366465e+43 -7.9531264400376e+253)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-(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
00-0-J
00-0-(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
00-0-#s(literal 2 binary64)
00-0-#s(literal -2 binary64)
00-0-(*.f64 #s(literal -2 binary64) J)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (/.f64 K #s(literal 2 binary64)))sensitivity1121
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-rescue360
↳(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))))overflow34
↳(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))overflow34
↳(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))overflow70
↳(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))overflow2
↳(+.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)))overflow70
↳(*.f64 #s(literal 2 binary64) J)overflow2
*.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*o340
Confusion
Predicted +Predicted -
+700
-80106
Precision
0.4666666666666667
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7000
-801105
Precision?
0.46357615894039733
Recall?
1.0
Freqs
test
numberfreq
0106
1118
232
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
155.0ms512×0valid
Compiler

Compiled 248 to 55 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
ival-mult!: 104.0ms (79.4% of total)
ival-cos: 12.0ms (9.2% of total)
ival-div!: 5.0ms (3.8% of total)
ival-pow2: 5.0ms (3.8% of total)
ival-sqrt: 4.0ms (3.1% of total)
ival-add!: 1.0ms (0.8% of total)
adjust: 0.0ms (0% of total)

preprocess49.0ms (0.9%)

Memory
-0.5MiB live, 55.5MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075246
1206240
2634240
32468240
47900240
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.0%
(*.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)))))
Symmetry

(abs K)

(abs U)

(negabs J)

Compiler

Compiled 48 to 34 computations (29.2% saved)

series57.0ms (1.1%)

Memory
43.3MiB live, 180.6MiB allocated; 11ms collecting garbage
Counts
17 → 88
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx J #s(hole binary64 J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (pow J 2)) (pow J 2))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (* 2 (* J (cos (* 1/2 K))))))
#s(approx (* 2 J) #s(hole binary64 (* 2 J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 J)))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 1))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (/ K 2)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (/ K 2) #s(hole binary64 (* 1/2 K)))
#s(approx K #s(hole binary64 K))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) #s(hole binary64 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (* 2 J)))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* -1/4 (* J (pow K 2))) (* 2 J))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))))
#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (cos (/ K 2)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
#s(approx U #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
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))
8.0ms
J
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J))
7.0ms
U
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J))
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))

rewrite260.0ms (5%)

Memory
-26.8MiB live, 401.1MiB allocated; 86ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05254670
05434353
130744183
086064014
Stop Event
1×iter-limit
1×node-limit
1×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)))))))

eval45.0ms (0.9%)

Memory
-1.4MiB live, 90.9MiB allocated; 14ms collecting garbage
Compiler

Compiled 7 708 to 960 computations (87.5% saved)

prune8.0ms (0.1%)

Memory
28.6MiB live, 28.6MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1788186
Fresh000
Picked101
Done000
Total1798187
Accuracy
99.9%
Counts
187 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶73.6%
(*.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)))))
▶65.7%
(*.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 #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
49.5%
#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)))))
▶44.5%
#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))
▶32.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
52.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
37.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
▶15.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 568 to 388 computations (31.7% saved)

series127.0ms (2.4%)

Memory
-8.6MiB live, 320.6MiB allocated; 36ms collecting garbage
Counts
51 → 222
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)))) (*.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))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
#s(literal -1/4 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))
(pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))
(/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))
Outputs
#s(approx (* (* (* -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))))))))))
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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 (* U U) #s(hole binary64 (pow U 2)))
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#s(approx (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (+ (* -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))))))))
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#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))))
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#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)))))))
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#s(approx (* (* (* -2 J) (+ (* (sin (/ K 2)) (cos (/ (PI) 2))) (* (cos (/ K 2)) (sin (/ (PI) 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (/ (* U (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (cos (* 1/2 K)))))
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#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)))))
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#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)))))
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#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)))))))))
Calls

9 calls:

TimeVariablePointExpression
20.0ms
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)))) (* (+ (* (/ (* 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)) (cos (* 1/2 K)) (* 1/2 K) 1/2 -1/4 (* (cos (* 1/2 K)) -2) (* (* (* -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))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))))
15.0ms
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)))) (* (+ (* (/ (* 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)) (cos (* 1/2 K)) (* 1/2 K) 1/2 -1/4 (* (cos (* 1/2 K)) -2) (* (* (* -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))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))))
15.0ms
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)))) (* (+ (* (/ (* 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)) (cos (* 1/2 K)) (* 1/2 K) 1/2 -1/4 (* (cos (* 1/2 K)) -2) (* (* (* -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))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))))
14.0ms
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)))) (* (+ (* (/ (* 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)) (cos (* 1/2 K)) (* 1/2 K) 1/2 -1/4 (* (cos (* 1/2 K)) -2) (* (* (* -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))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))))
12.0ms
K
@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)))) (* (+ (* (/ (* 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)) (cos (* 1/2 K)) (* 1/2 K) 1/2 -1/4 (* (cos (* 1/2 K)) -2) (* (* (* -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))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))))

rewrite248.0ms (4.8%)

Memory
7.7MiB live, 391.8MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117612037
0124410874
171389971
087409637
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
273 → 420
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)))) (*.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))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
#s(literal -1/4 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))
(pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))
(/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))
#s(approx (* (* (* -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 (* (+ (* (/ (* 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) (cos (/ K 2))) #s(hole binary64 (* -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 (* -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))
#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 (* -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) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -2 J)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(hole binary64 (+ 1 (* 1/4 (/ (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 (* -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 (* J (+ (* -2 (cos (* 1/2 K))) (* -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 (cos (* 1/2 K)))))
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#s(approx (* 1/2 K) #s(hole binary64 (* 1/2 K)))
#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 (* (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))) #s(hole binary64 (* -2 J)))
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#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 (* (* (* -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))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#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))))))
#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))) (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 (* (cos (* 1/2 K)) -2) #s(hole binary64 (* -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)))))) (* -1/4 (/ (* (pow U 2) (+ (* (cos (* 1/2 K)) (sin (* 1/2 (PI)))) (* (cos (* 1/2 (PI))) (sin (* 1/2 K))))) (* J (pow (cos (* 1/2 K)) 2)))))))
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#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 (+ (* -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 (* (+ (* (/ (* 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))))))))
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#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))))))))
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#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))
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#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)))))))))
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)))))
(fma.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 J #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)))) (sin.f64 (-.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (+.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 (neg.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 K #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 (/.f64 K #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)))
(sin.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
#s(literal 0 binary64)
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (/.f64 K #s(literal 2 binary64))))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 K #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)))) (sin.f64 (-.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (+.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 (neg.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 K #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (neg.f64 (/.f64 K #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)))
#s(literal 1 binary64)
(pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(cosh.f64 (asinh.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64))))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (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)))
(*.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))
(*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
(+.f64 J J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#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))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))
(*.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)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.f64 J (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 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))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))
(+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))
(*.f64 (/.f64 U J) (/.f64 U J))
(*.f64 U (/.f64 U (*.f64 J J)))
(/.f64 (neg.f64 (*.f64 U U)) (neg.f64 (*.f64 J J)))
(/.f64 (/.f64 (*.f64 U U) J) J)
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 (pow.f64 U #s(literal 1 binary64)) (pow.f64 U #s(literal 1 binary64)))
(*.f64 (fabs.f64 U) (fabs.f64 U))
(*.f64 (neg.f64 U) (neg.f64 U))
(*.f64 U U)
(pow.f64 U #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 U) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 U) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 U) #s(literal 2 binary64))))
(*.f64 (pow.f64 J #s(literal 1 binary64)) (pow.f64 J #s(literal 1 binary64)))
(*.f64 (neg.f64 J) (neg.f64 J))
(*.f64 (fabs.f64 J) (fabs.f64 J))
(*.f64 J J)
(pow.f64 J #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))))
#s(literal 1/4 binary64)
#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))
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#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)))
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#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)))))
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#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (*.f64 J K) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) J) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) K) (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) J))) K (*.f64 (*.f64 J #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) J) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) K) (*.f64 (*.f64 #s(literal 1/4 binary64) J) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) K (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) J))) K (*.f64 (*.f64 J #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
#s(approx (cos (/ K 2)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (cos (/ K 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) K) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) K) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) K (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) K) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) K (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) K (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (sin (/ K 2)) (*.f64 #s(literal 1/2 binary64) K))
#s(approx (sin (/ K 2)) (*.f64 (fma.f64 (*.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))))
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#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)))
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#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal 1/64 binary64) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 J #s(literal 5 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) #s(literal -1/512 binary64))) (*.f64 U U) (/.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (/.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 (* (+ (* (/ (* 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)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U)) #s(literal -2 binary64) (neg.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U)) #s(literal -2 binary64) (fma.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (neg.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 J #s(literal 6 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 U #s(literal 6 binary64)))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U)) #s(literal -2 binary64) (fma.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (neg.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))) U))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 (+.f64 (pow.f64 U #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)))) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)))) #s(literal 1 binary64)) U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (/.f64 (*.f64 #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 (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 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)))) #s(literal 1 binary64)) 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))
#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)))
#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)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U)) #s(literal -2 binary64) (neg.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U)) #s(literal -2 binary64) (fma.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (neg.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (*.f64 (pow.f64 J #s(literal 6 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 U #s(literal 6 binary64)))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U)) #s(literal -2 binary64) (fma.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (neg.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)))) #s(literal 1 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) U)
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.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 #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))))))

eval69.0ms (1.3%)

Memory
-13.4MiB live, 126.6MiB allocated; 20ms collecting garbage
Compiler

Compiled 26 192 to 2 295 computations (91.2% saved)

prune25.0ms (0.5%)

Memory
4.8MiB live, 51.1MiB allocated; 4ms collecting garbage
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New48914503
Fresh123
Picked325
Done000
Total49318511
Accuracy
99.9%
Counts
511 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
42.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.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 (*.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))
48.7%
#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 J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
✓32.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
▶52.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
28.3%
#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)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
28.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
▶11.2%
#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 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
25.1%
#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))
▶37.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
28.8%
#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)))
▶25.9%
#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 (/.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))))
▶31.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
37.5%
#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))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
12.7%
#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)))))
32.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
33.6%
#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))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 2 binary64)) J))))
✓15.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 1 842 to 1 128 computations (38.8% saved)

series74.0ms (1.4%)

Memory
33.4MiB live, 125.4MiB allocated; 10ms collecting garbage
Counts
33 → 153
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (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
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
U
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (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 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))
(/.f64 (*.f64 U U) J)
(*.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 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))))))
(*.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 (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))))
(*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(+.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)))) #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)) 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)))
(*.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))
(-.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 (*.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))
#s(literal 1/4 binary64)
(*.f64 (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)))) #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))) #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 (* (* 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 (+ (* (/ (* U U) J) -1/4) (* J -2)) #s(hole binary64 (* -1/4 (/ (pow U 2) J))))
#s(approx (+ (* (/ (* U U) J) -1/4) (* J -2)) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) J)))
#s(approx (/ (* U U) J) #s(hole binary64 (/ (pow U 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 (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (/ (+ (* -1 (/ (pow J 2) U)) (* -1/2 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 (* (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (* U U)) #s(hole binary64 (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))))
#s(approx (* (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (* U U)) #s(hole binary64 (/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)))
#s(approx (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) #s(hole binary64 (/ -1/4 (* J (cos (* 1/2 K))))))
#s(approx (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) #s(hole binary64 (/ (- (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (cos (* 1/2 K))))) J)))
#s(approx (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) #s(hole binary64 (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2)))))
#s(approx (/ 1/4 (* (cos (* 1/2 K)) J)) #s(hole binary64 (/ 1/4 (* J (cos (* 1/2 K))))))
#s(approx (* (cos (* 1/2 K)) J) #s(hole binary64 (* 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))))))
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#s(approx (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) #s(hole binary64 (/ (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* 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 (- (* -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 (+ (* (/ (* U U) J) -1/4) (* J -2)) #s(hole binary64 (* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))))
#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 (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J))))))
#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 (* (* (* -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 (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
Calls

9 calls:

TimeVariablePointExpression
20.0ms
U
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (* J -2) J -2 (cos (* 1/2 K)) (* 1/2 K) 1/2 K (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) 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))) (+ (* (/ (* U U) J) -1/4) (* J -2)) (/ (* U U) J) (* U U) -1/4 (* (* (* -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)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (+ (/ 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) (* (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (* U U)) (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J)) 1/4 (* (cos (* 1/2 K)) J))
10.0ms
J
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (* J -2) J -2 (cos (* 1/2 K)) (* 1/2 K) 1/2 K (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) 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))) (+ (* (/ (* U U) J) -1/4) (* J -2)) (/ (* U U) J) (* U U) -1/4 (* (* (* -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)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (+ (/ 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) (* (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (* U U)) (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J)) 1/4 (* (cos (* 1/2 K)) J))
8.0ms
J
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (* J -2) J -2 (cos (* 1/2 K)) (* 1/2 K) 1/2 K (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) 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))) (+ (* (/ (* U U) J) -1/4) (* J -2)) (/ (* U U) J) (* U U) -1/4 (* (* (* -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)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (+ (/ 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) (* (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (* U U)) (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J)) 1/4 (* (cos (* 1/2 K)) J))
6.0ms
K
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (* J -2) J -2 (cos (* 1/2 K)) (* 1/2 K) 1/2 K (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) 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))) (+ (* (/ (* U U) J) -1/4) (* J -2)) (/ (* U U) J) (* U U) -1/4 (* (* (* -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)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (+ (/ 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) (* (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (* U U)) (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J)) 1/4 (* (cos (* 1/2 K)) J))
5.0ms
K
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (* J -2) J -2 (cos (* 1/2 K)) (* 1/2 K) 1/2 K (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) 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))) (+ (* (/ (* U U) J) -1/4) (* J -2)) (/ (* U U) J) (* U U) -1/4 (* (* (* -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)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (+ (/ 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) (* (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (* U U)) (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J)) 1/4 (* (cos (* 1/2 K)) J))

rewrite203.0ms (3.9%)

Memory
-42.5MiB live, 244.5MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07926824
08326543
146836190
083425952
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
186 → 274
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (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
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
U
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (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 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))
(/.f64 (*.f64 U U) J)
(*.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 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))))))
(*.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 (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))))
(*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(+.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)))) #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)) 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)))
(*.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))
(-.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 (*.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))
#s(literal 1/4 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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))) #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 (* (* 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 (+ (* (/ (* U U) J) -1/4) (* J -2)) #s(hole binary64 (* -1/4 (/ (pow U 2) J))))
#s(approx (+ (* (/ (* U U) J) -1/4) (* J -2)) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1/4 (pow U 2))) J)))
#s(approx (/ (* U U) J) #s(hole binary64 (/ (pow U 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 (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (/ (+ (* -1 (/ (pow J 2) U)) (* -1/2 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 (* (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (* U U)) #s(hole binary64 (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))))
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#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (/ (+ (* -1 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 (* (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (* U U)) #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))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) #s(hole binary64 (/ (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* 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 (- (* -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 (+ (* (/ (* U U) J) -1/4) (* J -2)) #s(hole binary64 (* (pow U 2) (- (* -2 (/ J (pow U 2))) (* 1/4 (/ 1 J))))))
#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 (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J))))))
#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 (* (* (* -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 (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 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)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1 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))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)))
(+.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
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 #s(literal -1 binary64) U)
(*.f64 U #s(literal -1 binary64))
(neg.f64 U)
U
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* 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))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)) (*.f64 J #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 U U) J) #s(literal 3 binary64)) #s(literal -1/64 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 J #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)) (*.f64 J #s(literal -2 binary64))))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 J #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64))))))
(fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))
(fma.f64 J #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)))
(fma.f64 #s(literal -2 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)))
(-.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)) (*.f64 (neg.f64 J) #s(literal -2 binary64)))
(-.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) J)))
(+.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)) (*.f64 J #s(literal -2 binary64)))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)))
(*.f64 U (/.f64 U J))
(/.f64 (neg.f64 (*.f64 U U)) (neg.f64 J))
(/.f64 (*.f64 U U) J)
(*.f64 (fabs.f64 (fabs.f64 U)) (fabs.f64 (fabs.f64 U)))
(*.f64 (exp.f64 (log.f64 U)) (exp.f64 (log.f64 U)))
(*.f64 (fabs.f64 U) (fabs.f64 U))
(*.f64 (neg.f64 U) (neg.f64 U))
(*.f64 U U)
(pow.f64 (exp.f64 (log.f64 U)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 U) #s(literal 2 binary64))
(pow.f64 (*.f64 U U) #s(literal 1 binary64))
(pow.f64 (neg.f64 U) #s(literal 2 binary64))
(pow.f64 U #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 U #s(literal -2 binary64)))
(fabs.f64 (*.f64 U U))
(exp.f64 (*.f64 (log.f64 U) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 U) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 U) #s(literal 2 binary64))))
#s(literal -1/4 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))) (*.f64 J #s(literal -2 binary64))))
(*.f64 #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))) (*.f64 J #s(literal -2 binary64)))
(*.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)) (neg.f64 U))))
(*.f64 J (*.f64 #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)) (neg.f64 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)) (neg.f64 U)))
(*.f64 (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U) #s(literal -1 binary64))
(*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))
(*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
(neg.f64 (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
(fma.f64 (/.f64 J (*.f64 U U)) (neg.f64 U) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (neg.f64 U)))
(fma.f64 (neg.f64 U) (/.f64 J (*.f64 U U)) (*.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) J)))
(+.f64 (*.f64 (/.f64 J (*.f64 U U)) (neg.f64 U)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (neg.f64 U)))
(+.f64 (*.f64 (neg.f64 U) (/.f64 J (*.f64 U U))) (*.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal 2 binary64)) (pow.f64 (/.f64 J (*.f64 U U)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))
(/.f64 (-.f64 (pow.f64 (/.f64 J (*.f64 U U)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal 2 binary64))) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 (fma.f64 (pow.f64 J #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 J (*.f64 U U)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 J (*.f64 U U)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))))
(/.f64 (+.f64 (pow.f64 (/.f64 J (*.f64 U U)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 J (*.f64 U U)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal 2 binary64)) (*.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
(/.f64 (fma.f64 J J (*.f64 (*.f64 U U) #s(literal 1/2 binary64))) (*.f64 (*.f64 U U) J))
(fma.f64 (pow.f64 J #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 J (*.f64 U U)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal -1 binary64)) (/.f64 J (*.f64 U U)))
(+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))
(+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))
(/.f64 (neg.f64 J) (neg.f64 (*.f64 U U)))
(/.f64 (/.f64 J U) U)
(/.f64 J (*.f64 U U))
(*.f64 (pow.f64 J #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal -1 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 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 (* (+ (* (/ (* 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 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.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 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U)))
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U) U)
(*.f64 (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U))
(*.f64 (*.f64 U U) (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (fma.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
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(fma.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 J #s(literal -1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
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#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (*.f64 (neg.f64 J) (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)))))
#s(approx (* (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (* U U)) (*.f64 (neg.f64 J) (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)))))
#s(approx (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (*.f64 (neg.f64 J) (fma.f64 (/.f64 (pow.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1/4 binary64) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #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 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #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 (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)))))
#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)) (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 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #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 (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)) (fma.f64 (*.f64 #s(literal -1/46080 binary64) J) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #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) (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)))))) 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 1/12288 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 K K) (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) (*.f64 (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))))) #s(literal -2 binary64))) (*.f64 K K) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #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 (* (+ (* (/ (* 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 (* (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (* U U)) (*.f64 (-.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U)))
#s(approx (* (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (* U U)) (fma.f64 (pow.f64 (*.f64 K U) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/32 binary64) J)) (*.f64 (-.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U))))
#s(approx (* (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (* U U)) (fma.f64 (fma.f64 (pow.f64 (*.f64 K U) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/192 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 5/1536 binary64) J)) (*.f64 (-.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/32 binary64) J)) (*.f64 U U))) (*.f64 K K) (*.f64 (-.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U))))
#s(approx (* (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (* U U)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 K U) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/23040 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 61/184320 binary64) J)) (*.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 5/1536 binary64) J)) (*.f64 U U))) (*.f64 K K) (*.f64 (-.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/32 binary64) J)) (*.f64 U U))) (*.f64 K K) (*.f64 (-.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U))))
#s(approx (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (-.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) J)))
#s(approx (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/32 binary64) J)) (*.f64 K K) (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) (/.f64 #s(literal 1/4 binary64) J)))
#s(approx (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 5/1536 binary64) J)) (*.f64 K K) (*.f64 (/.f64 J (*.f64 U U)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/32 binary64) J)) (*.f64 K K) (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) (/.f64 #s(literal 1/4 binary64) J)))
#s(approx (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/23040 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 61/184320 binary64) J)) (*.f64 K K) (*.f64 #s(literal -1/192 binary64) (/.f64 J (*.f64 U U)))) (/.f64 #s(literal 5/1536 binary64) J)) (*.f64 K K) (*.f64 (/.f64 J (*.f64 U U)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/32 binary64) J)) (*.f64 K K) (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) (/.f64 #s(literal 1/4 binary64) J)))
#s(approx (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)))
#s(approx (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (fma.f64 (/.f64 (*.f64 (*.f64 K K) J) (*.f64 U U)) #s(literal 1/4 binary64) (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))))
#s(approx (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 K K) J) (*.f64 U U)) #s(literal -1/192 binary64) (*.f64 (/.f64 J (*.f64 U U)) #s(literal 1/4 binary64))) (*.f64 K K) (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))))
#s(approx (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 K K) J) (*.f64 U U)) #s(literal 1/23040 binary64) (*.f64 #s(literal -1/192 binary64) (/.f64 J (*.f64 U U)))) (*.f64 K K) (*.f64 (/.f64 J (*.f64 U U)) #s(literal 1/4 binary64))) (*.f64 K K) (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))))
#s(approx (/ 1/4 (* (cos (* 1/2 K)) J)) (/.f64 #s(literal 1/4 binary64) J))
#s(approx (/ 1/4 (* (cos (* 1/2 K)) J)) (fma.f64 (/.f64 (*.f64 K K) J) #s(literal 1/32 binary64) (/.f64 #s(literal 1/4 binary64) J)))
#s(approx (/ 1/4 (* (cos (* 1/2 K)) J)) (fma.f64 (fma.f64 (/.f64 (*.f64 K K) J) #s(literal 5/1536 binary64) (/.f64 #s(literal 1/32 binary64) J)) (*.f64 K K) (/.f64 #s(literal 1/4 binary64) J)))
#s(approx (/ 1/4 (* (cos (* 1/2 K)) J)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 K K) J) #s(literal 61/184320 binary64) (/.f64 #s(literal 5/1536 binary64) J)) (*.f64 K K) (/.f64 #s(literal 1/32 binary64) J)) (*.f64 K K) (/.f64 #s(literal 1/4 binary64) 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))
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#s(approx (cos (* 1/2 K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
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#s(approx (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.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 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.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 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (neg U) (neg.f64 U))
#s(approx U 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 (+ (* (/ (* U U) J) -1/4) (* J -2)) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* 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 (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U U) J) (neg.f64 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 (* (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (* U U)) (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))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (/.f64 (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)))) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)))) #s(literal 1 binary64)) U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 1 binary64))) U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)))) #s(literal 1 binary64)) U))
#s(approx (+ (* (/ (* U U) J) -1/4) (* J -2)) (*.f64 (-.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U 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))
#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 (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (*.f64 (-.f64 (/.f64 (neg.f64 J) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
#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 (/.f64 #s(literal 1/4 binary64) J) (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) (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 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 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 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 (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))

eval805.0ms (15.4%)

Memory
-125.3MiB live, 130.6MiB allocated; 1.3s collecting garbage
Compiler

Compiled 27 472 to 1 925 computations (93% saved)

prune44.0ms (0.8%)

Memory
-20.9MiB live, 71.2MiB allocated; 19ms collecting garbage
Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New40114415
Fresh6511
Picked325
Done022
Total41023433
Accuracy
99.9%
Counts
433 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.7%
#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 J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
▶52.0%
#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 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))
✓32.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
✓52.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
▶28.3%
#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)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
▶28.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
2.4%
#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)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
31.4%
#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 (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)))))
31.2%
#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 (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)))))
31.4%
#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 (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
✓37.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
28.8%
#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 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)))
26.4%
#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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) U) U) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))))
25.8%
#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 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))))
26.8%
#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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U) U)))
23.5%
#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 -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U))) (*.f64 U U))))
16.6%
#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 -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (-.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) J))) (*.f64 U U))))
37.5%
#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))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
33.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
▶32.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
31.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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)))))
31.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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)))))
✓15.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 2 336 to 1 481 computations (36.6% saved)

series46.0ms (0.9%)

Memory
2.6MiB live, 92.4MiB allocated; 7ms collecting garbage
Counts
40 → 178
Calls
Call 1
Inputs
#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 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 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 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 J #s(literal -2 binary64))
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 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(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))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
#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 (*.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)))))
(*.f64 (*.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 (/.f64 U J) #s(literal 1/2 binary64)))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(/.f64 U 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 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
(*.f64 (*.f64 J #s(literal -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 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))
(/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)
(fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U))
(/.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)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 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 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 U J) (/.f64 U J))
#s(literal 1/4 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (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 (* J -2) #s(hole binary64 (* -2 J)))
#s(approx J #s(hole binary64 J))
#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 (* (/ U J) 1/2) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (/ U J) #s(hole binary64 (/ U J)))
#s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (+ (* 1/2 U) (/ (* J J) U)) #s(hole binary64 (* 1/2 U)))
#s(approx (+ (* 1/2 U) (/ (* J J) U)) #s(hole binary64 (+ (* 1/2 U) (/ (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 (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 U)))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #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 J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* 1/2 U)))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (/ (pow J 2) U))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U))))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #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))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U J)) 1/4) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) #s(hole binary64 (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))))
#s(approx (* (/ U J) (/ U J)) #s(hole binary64 (/ (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 (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) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -2 J)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) #s(hole binary64 (/ J U)))
#s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) #s(hole binary64 (* J (+ (* 1/2 (/ U (pow J 2))) (/ 1 U)))))
#s(approx (+ (* 1/2 U) (/ (* J J) U)) #s(hole binary64 (/ (pow J 2) U)))
#s(approx (+ (* 1/2 U) (/ (* J J) U)) #s(hole binary64 (* (pow J 2) (+ (* 1/2 (/ U (pow J 2))) (/ 1 U)))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* -2 J)))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 J))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2)))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) #s(hole binary64 1))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) #s(hole binary64 (+ 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 (* -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 (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))))
#s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) #s(hole binary64 (* -1 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U))))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* J (- (* -1/8 (/ (pow U 2) (pow J 2))) 1)))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (* 1/128 (/ (pow U 4) (pow J 4)))) 1)))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* J (- (+ (* -1/8 (/ (pow U 2) (pow J 2))) (+ (* -1/1024 (/ (pow U 6) (pow J 6))) (* 1/128 (/ (pow U 4) (pow J 4))))) 1)))))
#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 (* (* J -2) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) #s(hole binary64 (* -2 (* J (sin (* 1/2 (PI)))))))
#s(approx (* (* J -2) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* -2 (* J (sin (* 1/2 (PI))))) (* -1 (* J (* K (cos (* 1/2 (PI)))))))))
#s(approx (* (* J -2) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* -2 (* J (sin (* 1/2 (PI))))) (* K (+ (* -1 (* J (cos (* 1/2 (PI))))) (* 1/4 (* J (* K (sin (* 1/2 (PI)))))))))))
#s(approx (* (* J -2) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) #s(hole binary64 (+ (* -2 (* J (sin (* 1/2 (PI))))) (* K (+ (* -1 (* J (cos (* 1/2 (PI))))) (* K (+ (* 1/24 (* J (* K (cos (* 1/2 (PI)))))) (* 1/4 (* J (sin (* 1/2 (PI))))))))))))
#s(approx (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* 1/2 (* K (cos (* 1/2 (PI))))))))
#s(approx (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* K (+ (* -1/8 (* K (sin (* 1/2 (PI))))) (* 1/2 (cos (* 1/2 (PI)))))))))
#s(approx (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* K (+ (* 1/2 (cos (* 1/2 (PI)))) (* K (+ (* -1/8 (sin (* 1/2 (PI)))) (* -1/48 (* K (cos (* 1/2 (PI))))))))))))
#s(approx (sin (* 1/2 K)) #s(hole binary64 (* 1/2 K)))
#s(approx (sin (* 1/2 K)) #s(hole binary64 (* K (+ 1/2 (* -1/48 (pow K 2))))))
#s(approx (sin (* 1/2 K)) #s(hole binary64 (* K (+ 1/2 (* (pow K 2) (- (* 1/3840 (pow K 2)) 1/48))))))
#s(approx (sin (* 1/2 K)) #s(hole binary64 (* K (+ 1/2 (* (pow K 2) (- (* (pow K 2) (+ 1/3840 (* -1/645120 (pow K 2)))) 1/48))))))
#s(approx (* 1/2 K) #s(hole binary64 (* 1/2 K)))
#s(approx K #s(hole binary64 K))
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/8 (* (pow K 2) (sin (* 1/2 (PI))))))))
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow K 2) (+ (* -1/8 (sin (* 1/2 (PI)))) (* 1/384 (* (pow K 2) (sin (* 1/2 (PI))))))))))
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* (pow K 2) (+ (* -1/8 (sin (* 1/2 (PI)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (sin (* 1/2 (PI))))) (* 1/384 (sin (* 1/2 (PI)))))))))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 1))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#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 (* (* (* -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 (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (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 (* 1/2 K)) #s(hole binary64 (sin (* 1/2 K))))
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) #s(hole binary64 (* (cos (* 1/2 K)) (sin (* 1/2 (PI))))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (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) (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 #s(hole binary64 U))
#s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) #s(hole binary64 (/ (+ J (* 1/2 (/ (pow U 2) J))) U)))
#s(approx (+ (* 1/2 U) (/ (* J J) U)) #s(hole binary64 (/ (+ (* 1/2 (pow U 2)) (pow J 2)) U)))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #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 J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (+ J (* 1/8 (/ (pow U 2) J)))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 3))) (* 1/8 (/ 1 J)))))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (+ J (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 5))) (* 1/128 (/ 1 (pow J 3))))) (* 1/8 (/ 1 J)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 (* (* (* -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 (/ (+ (* 1/2 U) (/ (* J J) U)) J) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (+ (* 1/2 U) (/ (* J J) U)) #s(hole binary64 (* U (+ 1/2 (/ (pow J 2) (pow U 2))))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #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 J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (/ (pow J 2) (pow U 2))))))
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#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U J)) 1/4) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 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 (* (* 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)))))
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#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 (/ (+ (* 1/2 U) (/ (* J J) U)) J) #s(hole binary64 (* -1 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J)))))))
#s(approx (+ (* 1/2 U) (/ (* J J) U)) #s(hole binary64 (* -1 (* U (- (* -1 (/ (pow J 2) (pow U 2))) 1/2)))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 U))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #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 J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* -1/2 U)))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2))))))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2)))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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)))))))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
J
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (* J -2) J -2 (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (sin (* 1/2 K)) (* 1/2 K) 1/2 K (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (cos (* 1/2 K)) (sin (/ (PI) 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))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (/ U J) 1/2) (/ U J) 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))) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/ (+ (* 1/2 U) (/ (* J J) U)) J) (+ (* 1/2 U) (/ (* J J) U)) (/ (* J J) U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) 1/4 1)
6.0ms
J
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (* J -2) J -2 (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (sin (* 1/2 K)) (* 1/2 K) 1/2 K (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (cos (* 1/2 K)) (sin (/ (PI) 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))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (/ U J) 1/2) (/ U J) 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))) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/ (+ (* 1/2 U) (/ (* J J) U)) J) (+ (* 1/2 U) (/ (* J J) U)) (/ (* J J) U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) 1/4 1)
5.0ms
J
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (* J -2) J -2 (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (sin (* 1/2 K)) (* 1/2 K) 1/2 K (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (cos (* 1/2 K)) (sin (/ (PI) 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))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (/ U J) 1/2) (/ U J) 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))) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/ (+ (* 1/2 U) (/ (* J J) U)) J) (+ (* 1/2 U) (/ (* J J) U)) (/ (* J J) U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) 1/4 1)
5.0ms
U
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (* J -2) J -2 (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (sin (* 1/2 K)) (* 1/2 K) 1/2 K (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (cos (* 1/2 K)) (sin (/ (PI) 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))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (/ U J) 1/2) (/ U J) 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))) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/ (+ (* 1/2 U) (/ (* J J) U)) J) (+ (* 1/2 U) (/ (* J J) U)) (/ (* J J) U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) 1/4 1)
4.0ms
U
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (* J -2) J -2 (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (sin (* 1/2 K)) (* 1/2 K) 1/2 K (cos (/ (PI) 2)) (/ (PI) 2) (PI) 2 (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (cos (* 1/2 K)) (sin (/ (PI) 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))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (* (/ U J) 1/2) (/ U J) 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))) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/ (+ (* 1/2 U) (/ (* J J) U)) J) (+ (* 1/2 U) (/ (* J J) U)) (/ (* J J) U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) 1/4 1)

rewrite197.0ms (3.8%)

Memory
25.3MiB live, 216.6MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07777127
08206242
142016105
081545932
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
218 → 346
Calls
Call 1
Inputs
#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 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 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 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 J #s(literal -2 binary64))
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 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(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))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
#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 (*.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)))))
(*.f64 (*.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 (/.f64 U J) #s(literal 1/2 binary64)))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(/.f64 U 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 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
(*.f64 (*.f64 J #s(literal -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 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))
(/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)
(fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U))
(/.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)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 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 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.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)))) #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) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (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 (* J -2) #s(hole binary64 (* -2 J)))
#s(approx J #s(hole binary64 J))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 U)))
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#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)))))))
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#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 J) 1/2) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (/ U J) #s(hole binary64 (/ U J)))
#s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (+ (* 1/2 U) (/ (* J J) U)) #s(hole binary64 (* 1/2 U)))
#s(approx (+ (* 1/2 U) (/ (* J J) U)) #s(hole binary64 (+ (* 1/2 U) (/ (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 (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 U)))
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#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #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 J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* 1/2 U)))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (/ (pow J 2) U))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U))))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #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))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U J)) 1/4) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) #s(hole binary64 (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))))
#s(approx (* (/ U J) (/ U J)) #s(hole binary64 (/ (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 (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) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -2 J)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) #s(hole binary64 (/ J U)))
#s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) #s(hole binary64 (* J (+ (* 1/2 (/ U (pow J 2))) (/ 1 U)))))
#s(approx (+ (* 1/2 U) (/ (* J J) U)) #s(hole binary64 (/ (pow J 2) U)))
#s(approx (+ (* 1/2 U) (/ (* J J) U)) #s(hole binary64 (* (pow J 2) (+ (* 1/2 (/ U (pow J 2))) (/ 1 U)))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* -2 J)))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 J))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 1 (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* J (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2)))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))
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#s(approx (+ (* 1/2 U) (/ (* J J) U)) #s(hole binary64 (* -1 (* U (- (* -1 (/ (pow J 2) (pow U 2))) 1/2)))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 U))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) #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 J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* -1/2 U)))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (/ (pow J 2) (pow U 2)))))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (/ (pow J 2) (pow U 2))))))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) #s(hole binary64 (* -1 (* U (+ 1/2 (+ (* -1 (/ (pow J 4) (pow U 4))) (+ (* 2 (/ (pow J 6) (pow U 6))) (/ (pow J 2) (pow U 2)))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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)))))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 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))
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) (*.f64 J #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
J
#s(literal -2 binary64)
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)))
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) K)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) #s(literal 1 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))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
#s(literal 0 binary64)
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) #s(literal 2 binary64))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)))
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) K)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) #s(literal 1 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))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)))
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (*.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 (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))
(*.f64 J (*.f64 #s(literal -2 binary64) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(/.f64 (neg.f64 U) (neg.f64 J))
(/.f64 U J)
U
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)) (*.f64 J #s(literal -2 binary64))))
(*.f64 #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)))
(*.f64 J (*.f64 #s(literal -2 binary64) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U))) (neg.f64 J))
(/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)
(fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 J J) U) J))
(fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (/.f64 (/.f64 (*.f64 J J) U) J))
(+.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) (/.f64 (/.f64 (*.f64 J J) U) J))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) U) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 J J) U) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 (*.f64 J J) U)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 U #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 J J) U) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) U) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 J J) U) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 (*.f64 J J) U)))))
(fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U))
(fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U))
(fma.f64 J (/.f64 J U) (*.f64 #s(literal 1/2 binary64) U))
(+.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 (*.f64 J J) U))
(+.f64 (/.f64 (*.f64 J J) U) (*.f64 #s(literal 1/2 binary64) U))
(*.f64 J (/.f64 J U))
(/.f64 (neg.f64 (*.f64 J J)) (neg.f64 U))
(/.f64 (*.f64 J J) U)
(*.f64 (neg.f64 (neg.f64 J)) (neg.f64 (neg.f64 J)))
(*.f64 (neg.f64 (fabs.f64 J)) (neg.f64 (fabs.f64 J)))
(*.f64 (fabs.f64 (fabs.f64 J)) (fabs.f64 (fabs.f64 J)))
(*.f64 (exp.f64 (log.f64 J)) (exp.f64 (log.f64 J)))
(*.f64 (neg.f64 J) (neg.f64 J))
(*.f64 (fabs.f64 J) (fabs.f64 J))
(*.f64 J J)
(pow.f64 (exp.f64 (log.f64 J)) #s(literal 2 binary64))
(pow.f64 (neg.f64 J) #s(literal 2 binary64))
(pow.f64 (fabs.f64 J) #s(literal 2 binary64))
(pow.f64 (*.f64 J J) #s(literal 1 binary64))
(pow.f64 J #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 J #s(literal -2 binary64)))
(fabs.f64 (*.f64 J J))
(exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.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))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.f64 J (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J)
(*.f64 J (sqrt.f64 (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))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
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#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (/ U J) (/ U J)) 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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (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)))
#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 (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)))
#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 (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)))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 2 binary64)) J)))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (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 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) J)))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (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 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) J)))
#s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J J))) (pow.f64 U #s(literal -1 binary64))) J)))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 2 binary64)) J)))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (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 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) J)))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (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 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) J)))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 1 binary64)) J)))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) #s(literal 1 binary64)) J)))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64)))) #s(literal 1 binary64))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #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 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J (*.f64 (fma.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 (*.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 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)) (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 -1/8 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 (*.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 K K) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #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 (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)) (fma.f64 (*.f64 #s(literal -1/46080 binary64) J) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #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) (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)))))) 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 1/12288 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 K K) (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) (*.f64 (fma.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 (*.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)))) #s(literal -2 binary64))) (*.f64 K K) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* J -2) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#s(approx (* (* J -2) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (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 (* (* J -2) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (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 (* (* J -2) (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) J) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 J K) (cos.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 (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 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 (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 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 (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 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 (* 1/2 K)) (*.f64 #s(literal 1/2 binary64) K))
#s(approx (sin (* 1/2 K)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 K K) #s(literal 1/2 binary64)) K))
#s(approx (sin (* 1/2 K)) (*.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 (* 1/2 K)) (*.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 (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (* (cos (* 1/2 K)) (sin (/ (PI) 2))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(approx (* (cos (* 1/2 K)) (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 (* 1/2 K)) (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 (* 1/2 K)) (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 (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) #s(literal 1 binary64))
#s(approx (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 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 (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 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 (* (* (* -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 (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (sin (* 1/2 K)) (sin.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (* (cos (* 1/2 K)) (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 (+ (* (sin (* 1/2 K)) (cos (/ (PI) 2))) (* (cos (* 1/2 K)) (sin (/ (PI) 2)))) (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 (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (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 (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (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 J) (/ U 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 J) (/ U 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)
#s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) (/.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/2 binary64) J) U))
#s(approx (+ (* 1/2 U) (/ (* J J) U)) (/.f64 (fma.f64 (*.f64 U U) #s(literal 1/2 binary64) (*.f64 J J)) U))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (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 (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (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 J) (/ U J)) 1/4) 1)) J) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/8 binary64) J))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 3 binary64))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) J)) (*.f64 U U) J))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 5 binary64))) #s(literal 1/1024 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 J #s(literal -3 binary64)))) (*.f64 U U) (/.f64 #s(literal 1/8 binary64) J)) (*.f64 U U) J))
#s(approx (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 (* (* (* -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 (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (*.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 (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (*.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 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)))) #s(literal 1 binary64)) U))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 (/ (+ (* 1/2 U) (/ (* J J) U)) J) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (+ (* 1/2 U) (/ (* J J) U)) (*.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64)) U))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (*.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 (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (*.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 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)))) #s(literal 1 binary64)) U))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (*.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64)) U))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (*.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (/.f64 (*.f64 J J) (*.f64 U U))) U))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (*.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)))) U))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U J)) 1/4) 1) (fma.f64 (*.f64 (pow.f64 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)))) 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 (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) U)
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (*.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 (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (*.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 J) (/ U J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U 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 (/ (+ (* 1/2 U) (/ (* J J) U)) J) (*.f64 (neg.f64 U) (-.f64 (neg.f64 (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1/2 binary64) J))))
#s(approx (+ (* 1/2 U) (/ (* J J) U)) (*.f64 (neg.f64 U) (-.f64 (neg.f64 (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1/2 binary64))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) U)
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64))))
#s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (*.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 (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (*.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 J) (/ U J)) 1/4) 1)) J) (*.f64 #s(literal -1/2 binary64) U))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (*.f64 (neg.f64 U) (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (*.f64 (neg.f64 U) (+.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (/.f64 (*.f64 J J) (*.f64 U U)))))
#s(approx (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) (*.f64 (neg.f64 U) (+.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 J) (/ U 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))))))

eval50.0ms (0.9%)

Memory
-6.0MiB live, 90.9MiB allocated; 12ms collecting garbage
Compiler

Compiled 18 043 to 1 657 computations (90.8% saved)

prune39.0ms (0.7%)

Memory
-5.8MiB live, 84.7MiB allocated; 7ms collecting garbage
Pruning

25 alts after pruning (18 fresh and 7 done)

PrunedKeptTotal
New3375342
Fresh11314
Picked235
Done044
Total34025365
Accuracy
99.9%
Counts
365 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓48.7%
#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 J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64)))
52.0%
#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 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))))
✓32.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
✓52.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
29.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 J (/.f64 J U) (*.f64 #s(literal 1/2 binary64) U)) J))))
5.1%
#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 #s(approx (+ (* 1/2 U) (/ (* J J) U)) (/.f64 (*.f64 J J) U)) J))))
✓28.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))
5.3%
#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 (/ (+ (* 1/2 U) (/ (* J J) U)) J) (/.f64 J U)))))
2.4%
#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)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
31.4%
#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 (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)))))
31.2%
#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 (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)))))
31.4%
#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 (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
✓37.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
28.8%
#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 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)))
26.4%
#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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) U) U) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))))
25.8%
#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 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))))
26.8%
#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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U) U)))
23.5%
#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 -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U))) (*.f64 U U))))
16.6%
#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 -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (-.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) J))) (*.f64 U U))))
37.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
33.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
✓32.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64))))
31.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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)))))
31.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #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)))))
✓15.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 3 613 to 1 162 computations (67.8% saved)

regimes71.0ms (1.4%)

Memory
-7.2MiB live, 141.4MiB allocated; 12ms collecting garbage
Counts
42 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #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 (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #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)) #s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) (/.f64 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)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.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 (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.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 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 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 (* (* (* -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) (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 (* (* (* -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 (+ (* 1/2 U) (/ (* J J) U)) (/.f64 (*.f64 J J) U)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (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)) #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 (* (* (* -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 (fma.f64 J (/.f64 J U) (*.f64 #s(literal 1/2 binary64) U)) 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 #s(approx (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (-.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) J))) (*.f64 U 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 (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 (* (* (* -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 (* (* 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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) 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)) (-.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 (*.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 -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U))) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 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))
#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)))))
(*.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 (*.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 (*.f64 (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))))
#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 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 (* (* (* -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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U) U)))
#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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) U) U) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U 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)) (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)) #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 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.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 (*.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))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 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:

14.0ms
K
12.0ms
(/.f64 K #s(literal 2 binary64))
11.0ms
(*.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
U
10.0ms
J
Results
AccuracySegmentsBranch
74.0%1(/.f64 K #s(literal 2 binary64))
78.4%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
99.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
80.5%2J
74.0%1K
78.0%2U
Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes11.0ms (0.2%)

Memory
16.8MiB live, 16.8MiB allocated; 0ms collecting garbage
Counts
37 → 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 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #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)) #s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) (/.f64 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)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.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 (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.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 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 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 (* (* (* -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) (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 (* (* (* -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 (+ (* 1/2 U) (/ (* J J) U)) (/.f64 (*.f64 J J) U)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (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)) #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 (* (* (* -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 (fma.f64 J (/.f64 J U) (*.f64 #s(literal 1/2 binary64) U)) 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 #s(approx (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (-.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) J))) (*.f64 U 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 (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 (* (* (* -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 (* (* 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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) 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)) (-.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 (*.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 -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U))) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 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))
#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)))))
(*.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 (*.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 (*.f64 (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))))
#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 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 (* (* (* -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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/4 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U) U)))
#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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) U) U) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U 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)) (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)) #s(literal 1 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 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:

8.0ms
(*.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
91.6%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)

regimes9.0ms (0.2%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Counts
29 → 4
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #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 (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #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)) #s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) (/.f64 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)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.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 (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.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 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 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 (* (* (* -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) (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 (* (* (* -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 (+ (* 1/2 U) (/ (* J J) U)) (/.f64 (*.f64 J J) U)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (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)) #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 (* (* (* -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 (fma.f64 J (/.f64 J U) (*.f64 #s(literal 1/2 binary64) U)) 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 #s(approx (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (-.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) J))) (*.f64 U 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 (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 (* (* (* -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 (* (* 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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) 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)) (-.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 (*.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 -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (*.f64 U U))) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 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))
#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)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 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 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

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
85.6%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes16.0ms (0.3%)

Memory
-23.5MiB live, 23.2MiB allocated; 1ms collecting garbage
Counts
25 → 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 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #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)) #s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) (/.f64 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)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.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 (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.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 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 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 (* (* (* -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) (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 (* (* (* -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 (+ (* 1/2 U) (/ (* J J) U)) (/.f64 (*.f64 J J) U)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (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)) #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 (* (* (* -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 (fma.f64 J (/.f64 J U) (*.f64 #s(literal 1/2 binary64) U)) 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 #s(approx (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (-.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) J))) (*.f64 U 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 (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 (* (* (* -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 (* (* 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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) 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)) (-.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)))) #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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 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

2 calls:

8.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
6.0ms
J
Results
AccuracySegmentsBranch
59.6%2J
81.2%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 25 to 20 computations (20% saved)

regimes43.0ms (0.8%)

Memory
-0.9MiB live, 51.7MiB allocated; 9ms collecting garbage
Counts
23 → 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 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #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)) #s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) (/.f64 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)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.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 (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.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 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 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 (* (* (* -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) (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 (* (* (* -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 (+ (* 1/2 U) (/ (* J J) U)) (/.f64 (*.f64 J J) U)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (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)) #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 (* (* (* -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 (fma.f64 J (/.f64 J U) (*.f64 #s(literal 1/2 binary64) U)) 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 #s(approx (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (-.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) J))) (*.f64 U 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 (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 (* (* (* -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 (* (* 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)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 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))) (fma.f64 (*.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.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)))) U)
Calls

5 calls:

17.0ms
K
6.0ms
U
6.0ms
(/.f64 K #s(literal 2 binary64))
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)))))
5.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
52.2%4(/.f64 K #s(literal 2 binary64))
52.2%4K
54.9%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
53.9%3U
72.2%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 33 to 34 computations (-3% saved)

regimes7.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Counts
21 → 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 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #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)) #s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) (/.f64 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)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.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 (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.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 (/.f64 U J) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 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 (* (* (* -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) (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 (* (* (* -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 (+ (* 1/2 U) (/ (* J J) U)) (/.f64 (*.f64 J J) U)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (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)) #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 (* (* (* -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 (fma.f64 J (/.f64 J U) (*.f64 #s(literal 1/2 binary64) U)) 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 #s(approx (- (/ (* (* J -2) (cos (* 1/2 K))) (* U U)) (/ 1/4 (* (cos (* 1/2 K)) J))) (-.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal 1/4 binary64) J))) (*.f64 U 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 (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 (* (* (* -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)))) #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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (*.f64 U (/.f64 U J)) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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
66.1%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
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Counts
9 → 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 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #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)) #s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) (/.f64 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)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.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 (* (* (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) J) -2) (fma.f64 (/.f64 (*.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 (/.f64 U J) #s(literal 1/2 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 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))) (*.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
65.5%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)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory
-39.0MiB live, 5.8MiB allocated; 4ms collecting garbage
Counts
6 → 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 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #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)) #s(approx (/ (+ (* 1/2 U) (/ (* J J) U)) J) (/.f64 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)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 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:

2.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
64.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB 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
(*.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
J
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
37.4%1U
51.7%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
37.4%1J
51.7%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)

regimes6.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms
U
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
K
1.0ms
J
Results
AccuracySegmentsBranch
15.8%1U
15.8%1J
15.8%1(/.f64 K #s(literal 2 binary64))
15.8%1K
15.8%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)))))
15.8%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 34 to 37 computations (-8.8% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.203739265541875e+306
+inf
0.0ms
-inf
-1.4684136063575738e+308
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.203739265541875e+306
+inf
0.0ms
-inf
-1.4684136063575738e+308
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
4.203739265541875e+306
+inf
0.0ms
-1.771956535370888e-261
-8.76965417365691e-279
0.0ms
-inf
-1.4684136063575738e+308
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-8.76965417365691e-279
1.4116292421868475e-223
0.0ms
-inf
-1.4684136063575738e+308
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
-8.76965417365691e-279
1.4116292421868475e-223
0.0ms
-8.84739691748845e-57
-1.5429339518281951e-62
0.0ms
-5.952034597949735e+157
-1.0394260999000541e+155
0.0ms
-inf
-1.4684136063575738e+308
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-8.76965417365691e-279
1.4116292421868475e-223
0.0ms
-inf
-1.4684136063575738e+308
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-8.76965417365691e-279
1.4116292421868475e-223
0.0ms
-inf
-1.4684136063575738e+308
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-8.76965417365691e-279
1.4116292421868475e-223
0.0ms
-inf
-1.4684136063575738e+308
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch30.0ms (0.6%)

Memory
-11.1MiB live, 34.5MiB allocated; 2ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
27.0ms
-0.0011276307076322778
0.0025395897786607592
Samples
18.0ms240×0valid
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 (45.9% of total)
ival-pow2: 3.0ms (27.5% of total)
ival-sqrt: 2.0ms (18.3% of total)
ival-add!: 1.0ms (9.2% of total)
ival-div!: 1.0ms (9.2% of total)
adjust: 0.0ms (0% of total)

derivations237.0ms (4.5%)

Memory
-13.3MiB live, 224.9MiB allocated; 21ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 1 641 to 114 computations (93.1% saved)

preprocess318.0ms (6.1%)

Memory
9.2MiB live, 579.7MiB allocated; 64ms collecting garbage
Remove

(negabs J)

(abs U)

(abs K)

Compiler

Compiled 19 636 to 5 470 computations (72.1% saved)

end0.0ms (0%)

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

Profiling

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