Maksimov and Kolovsky, Equation (3)

Time bar (total: 6.5s)

start0.0ms (0%)

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

analyze787.0ms (12.1%)

Memory
-104.8MiB live, 550.9MiB allocated; 904ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
37.5%37.4%62.4%0.1%0%0%0%7
43.8%43.7%56.2%0.1%0%0%0%8
43.8%43.7%56.2%0.1%0%0%0%9
43.8%43.7%56.2%0.1%0%0%0%10
46.9%46.8%53%0.1%0%0%0%11
46.9%46.8%53%0.1%0%0%0%12
Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.7s (25.8%)

Memory
93.7MiB live, 1 748.6MiB allocated; 414ms collecting garbage
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 992.0ms
ival-mult: 437.0ms (44.1% of total)
ival-cos: 191.0ms (19.3% of total)
ival-div: 131.0ms (13.2% of total)
ival-pow2: 90.0ms (9.1% of total)
ival-sqrt: 81.0ms (8.2% of total)
ival-add: 40.0ms (4% of total)
exact: 16.0ms (1.6% of total)
adjust: 3.0ms (0.3% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain294.0ms (4.5%)

Memory
-0.5MiB live, 427.8MiB allocated; 68ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
420-0-(*.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)))))
420-0-(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))))
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)
0138(1.5803198146262495e-285 7.812265023908558e+160 2.376316932704211e+172)0-(cos.f64 (/.f64 K #s(literal 2 binary64)))
00-0-(*.f64 #s(literal 2 binary64) J)
00-0-U
00-0-(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
00-0-(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
00-0-(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
00-0-J
00-0-(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
00-0-#s(literal 2 binary64)
00-0-#s(literal -2 binary64)
00-0-(*.f64 #s(literal -2 binary64) J)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (/.f64 K #s(literal 2 binary64)))sensitivity1380
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-rescue420
(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))))overflow42
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))overflow42
(+.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)))overflow84
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))overflow84
*.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*o420
Confusion
Predicted +Predicted -
+840
-8983
Precision
0.48554913294797686
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+8400
-89083
Precision?
0.48554913294797686
Recall?
1.0
Freqs
test
numberfreq
083
1124
249
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
132.0ms512×0valid
Compiler

Compiled 248 to 55 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-mult: 60.0ms (58.9% of total)
ival-div: 17.0ms (16.7% of total)
ival-cos: 12.0ms (11.8% of total)
ival-pow2: 5.0ms (4.9% of total)
ival-add: 3.0ms (2.9% of total)
ival-sqrt: 3.0ms (2.9% of total)
ival-true: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess201.0ms (3.1%)

Memory
-8.5MiB live, 190.9MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

(abs K)

(abs U)

(negabs J)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.9%
(*.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)

series137.0ms (2.1%)

Memory
-17.3MiB live, 129.7MiB allocated; 29ms 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
76.0ms
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))
20.0ms
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
U
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) 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))

rewrite301.0ms (4.6%)

Memory
11.3MiB live, 242.5MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval32.0ms (0.5%)

Memory
2.0MiB live, 59.1MiB allocated; 10ms collecting garbage
Compiler

Compiled 7 708 to 960 computations (87.5% saved)

prune17.0ms (0.3%)

Memory
-11.2MiB live, 33.9MiB allocated; 6ms collecting garbage
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New17610186
Fresh000
Picked101
Done000
Total17710187
Accuracy
99.9%
Counts
187 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
61.3%
(*.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 #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
50.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
81.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
35.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) U) #s(literal -2 binary64) (neg.f64 U)))
44.3%
#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))
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)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
50.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
37.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
17.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 648 to 468 computations (27.8% saved)

series461.0ms (7.1%)

Memory
-33.1MiB live, 392.0MiB allocated; 188ms collecting garbage
Counts
39 → 246
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.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)
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(*.f64 #s(literal 2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.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(literal 1 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#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))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) #s(hole binary64 (* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/720 (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (pow U 2))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))) (pow U 2))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/720 (/ (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (* (pow U 6) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))))))))
#s(approx (* (* -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 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(hole binary64 (* 1/2 (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(hole binary64 (+ (* 1/2 (* (pow J 2) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* 1/2 (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))
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Calls

9 calls:

TimeVariablePointExpression
123.0ms
K
@0
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ U (* 2 J)) U (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* 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 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* (* (* -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))
91.0ms
U
@0
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63.0ms
K
@inf
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48.0ms
J
@-inf
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ U (* 2 J)) U (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* 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 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* (* (* -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))
38.0ms
K
@-inf
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ U (* 2 J)) U (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* 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 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* (* (* -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))

rewrite264.0ms (4%)

Memory
19.8MiB live, 444.8MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165430347
0170429524
0806028526
Stop Event
iter limit
node limit
iter limit
Counts
285 → 319
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.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)
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(*.f64 #s(literal 2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
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(*.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)))
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(/.f64 (*.f64 U U) (*.f64 J J))
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(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))
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#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
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#s(approx (* (cos (* 1/2 K)) (* J J)) #s(hole binary64 (pow J 2)))
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#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(hole binary64 (+ (* 1/2 (+ (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))) (/ 1 (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* 1/2 (/ (- (* -1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (exp (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U))))))) (pow U 2))))))
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#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (pow U 6))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4)))))))))
#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))))
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#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 (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 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.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
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(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
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(cosh.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)))
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(log.f64 (+.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
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U
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#s(literal 1/4 binary64)
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(+.f64 (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 U (*.f64 J J)))
(/.f64 (neg.f64 (*.f64 U U)) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))))
(/.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))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.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))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 J (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 J J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 J (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 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#s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/720 binary64) (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (*.f64 U U)) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))) (*.f64 U U)) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (*.f64 (pow.f64 U #s(literal 6 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* -2 J) (*.f64 #s(literal -2 binary64) J))
#s(approx J J)
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J J) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J J) (-.f64 (*.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J J) (-.f64 (*.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/720 binary64) (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (*.f64 U U)) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))) (*.f64 U U)) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal -24 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#s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 J J) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 J J) (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))))))) (*.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)))))))
#s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (/ U (* 2 J)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
#s(approx (* 2 J) (*.f64 #s(literal 2 binary64) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U) (*.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 3 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 (*.f64 J J) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -1 binary64)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 U #s(literal -3 binary64)))) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -1 binary64)))))))
#s(approx (* J -2) (*.f64 #s(literal -2 binary64) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 3 binary64))) (pow.f64 U #s(literal -1 binary64))))) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64)))) (pow.f64 U #s(literal -3 binary64))) (pow.f64 U #s(literal -1 binary64))))) J))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 U U) (*.f64 J J)) (*.f64 J J)))
#s(approx (/ (* U U) (* J J)) (*.f64 (/.f64 U J) (/.f64 U J)))
#s(approx (* J J) (*.f64 J J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
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#s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) J)) (pow.f64 J #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (pow.f64 J #s(literal 3 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) J))) (pow.f64 J #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))) J)))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) J) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) J) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))))) J) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 J (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))))
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#s(literal -1/2 binary64) (/.f64 U J))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))))))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal 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#s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))))))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal 3 binary64))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/4 binary64) J)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) J (*.f64 #s(literal 1/23040 binary64) (*.f64 J (*.f64 K K)))))))))
#s(approx (cos (/ K 2)) #s(literal 1 binary64))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)))) #s(literal 1/8 binary64)))))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal -1 binary64))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal -1 binary64)))))))
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#s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))))))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))))))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 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(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))))))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) 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#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 K U) #s(literal 2 binary64)) (*.f64 J J)) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 #s(literal 1/48 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))))
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#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (*.f64 K K) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))) #s(literal 2 binary64)))
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#s(approx (cos (* 1/2 K)) #s(literal 1 binary64))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 U (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 U (fma.f64 (*.f64 U U) (fma.f64 #s(literal 3/1280 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal -1/48 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 U (fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -5/14336 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 7 binary64))) (*.f64 #s(literal 3/1280 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/48 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))))
#s(approx U U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 J #s(literal -1 binary64)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal -3 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 J #s(literal -1 binary64)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 J #s(literal -2 binary64)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 J #s(literal -4 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 J #s(literal -2 binary64)))))))
#s(approx (* U U) (*.f64 U U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))) (exp.f64 (neg.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fma.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))) (exp.f64 (neg.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))))) (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fma.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))) (exp.f64 (neg.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))))))))) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))))) (*.f64 U U))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fma.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))) (exp.f64 (neg.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))) (fma.f64 #s(literal 1/720 binary64) (fma.f64 #s(literal 240 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (fma.f64 #s(literal 720 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (*.f64 #s(literal 1440 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)))))) (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 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#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U)))) (exp.f64 (neg.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U)))))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))))) (*.f64 U U)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U)))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))))))) (pow.f64 U #s(literal 4 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U)))) (exp.f64 (neg.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U)))))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))))) (*.f64 U U)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/720 binary64) (fma.f64 #s(literal -720 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (fma.f64 #s(literal -240 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (*.f64 #s(literal 1440 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))))))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))))) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal -720 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (fma.f64 #s(literal -240 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (*.f64 #s(literal 1440 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))))) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))) (fma.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 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binary64) K))) #s(literal 4 binary64)))))) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U)))))))))) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U)))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))))))) (pow.f64 U #s(literal 4 binary64))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal -720 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (fma.f64 #s(literal -240 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (*.f64 #s(literal 1440 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))))) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) U)
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal -1 binary64)) (/.f64 J (*.f64 U U))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal -1 binary64)) (/.f64 J (*.f64 U U)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal -1 binary64)) (/.f64 J (*.f64 U U))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U))))))))

eval92.0ms (1.4%)

Memory
-24.0MiB live, 168.5MiB allocated; 39ms collecting garbage
Compiler

Compiled 40 113 to 2 314 computations (94.2% saved)

prune73.0ms (1.1%)

Memory
5.2MiB live, 52.5MiB allocated; 2ms collecting garbage
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New43218450
Fresh325
Picked415
Done000
Total43921460
Accuracy
99.9%
Counts
460 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
50.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
28.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)))) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
28.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
27.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
27.9%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
48.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
50.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
42.1%
#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) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal -1/4 binary64)) #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) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal -1/4 binary64)) (-.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) (*.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))
40.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
50.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
12.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
25.3%
#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 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (*.f64 K K) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))) #s(literal 2 binary64))) J))
25.2%
#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 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))) J))
37.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
30.0%
#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 #s(literal -2 binary64) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
35.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
15.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
27.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
17.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
40.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal -1 binary64)))))))
Compiler

Compiled 2 160 to 1 318 computations (39% saved)

series159.0ms (2.4%)

Memory
24.7MiB live, 161.1MiB allocated; 21ms collecting garbage
Counts
54 → 271
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 #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)
(cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(literal 1/2 binary64)
(/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
U
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))
#s(literal -1 binary64)
(*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)))
(/.f64 (*.f64 J J) (*.f64 U U))
(*.f64 J J)
(*.f64 U U)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))
(*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))
(*.f64 K K)
(-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/384 binary64) (*.f64 K K))
#s(literal 1/384 binary64)
#s(literal 1/8 binary64)
(sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
#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 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)
(fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
#s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J)))
(*.f64 (/.f64 U J) (/.f64 U J))
(/.f64 U J)
#s(literal -1/4 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) #s(hole binary64 (* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/720 (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (pow U 2))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))) (pow U 2))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/720 (/ (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (* (pow U 6) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))))))))
#s(approx (* (* -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 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(hole binary64 (* 1/2 (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(hole binary64 (+ (* 1/2 (* (pow J 2) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* 1/2 (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))
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#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (pow U 6))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4)))))))))
#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 (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* U (- (* -2 (/ (* J J) (* U U))) 1)) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#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
29.0ms
J
@-inf
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* 1/2 (/ U (* J (cos (* 1/2 K))))) 1/2 (/ U (* J (cos (* 1/2 K)))) U (* J (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) -1 (* U (- (* -2 (/ (* J J) (* U U))) 1)) (- (* -2 (/ (* J J) (* U U))) 1) (* -2 (/ (* J J) (* U U))) (/ (* J J) (* U U)) (* J J) (* U U) 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) (* (* K K) (- (* 1/384 (* K K)) 1/8)) (* K K) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) 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))) (* (/ U J) (/ U J)) (/ U J) -1/4 (* (cos (* 1/2 K)) -2))
24.0ms
K
@-inf
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* 1/2 (/ U (* J (cos (* 1/2 K))))) 1/2 (/ U (* J (cos (* 1/2 K)))) U (* J (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) -1 (* U (- (* -2 (/ (* J J) (* U U))) 1)) (- (* -2 (/ (* J J) (* U U))) 1) (* -2 (/ (* J J) (* U U))) (/ (* J J) (* U U)) (* J J) (* U U) 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) (* (* K K) (- (* 1/384 (* K K)) 1/8)) (* K K) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) 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))) (* (/ U J) (/ U J)) (/ U J) -1/4 (* (cos (* 1/2 K)) -2))
14.0ms
K
@inf
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* 1/2 (/ U (* J (cos (* 1/2 K))))) 1/2 (/ U (* J (cos (* 1/2 K)))) U (* J (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) -1 (* U (- (* -2 (/ (* J J) (* U U))) 1)) (- (* -2 (/ (* J J) (* U U))) 1) (* -2 (/ (* J J) (* U U))) (/ (* J J) (* U U)) (* J J) (* U U) 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) (* (* K K) (- (* 1/384 (* K K)) 1/8)) (* K K) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) 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))) (* (/ U J) (/ U J)) (/ U J) -1/4 (* (cos (* 1/2 K)) -2))
12.0ms
K
@0
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* 1/2 (/ U (* J (cos (* 1/2 K))))) 1/2 (/ U (* J (cos (* 1/2 K)))) U (* J (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) -1 (* U (- (* -2 (/ (* J J) (* U U))) 1)) (- (* -2 (/ (* J J) (* U U))) 1) (* -2 (/ (* J J) (* U U))) (/ (* J J) (* U U)) (* J J) (* U U) 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) (* (* K K) (- (* 1/384 (* K K)) 1/8)) (* K K) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) 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))) (* (/ U J) (/ U J)) (/ U J) -1/4 (* (cos (* 1/2 K)) -2))
8.0ms
U
@-inf
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* 1/2 (/ U (* J (cos (* 1/2 K))))) 1/2 (/ U (* J (cos (* 1/2 K)))) U (* J (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) -1 (* U (- (* -2 (/ (* J J) (* U U))) 1)) (- (* -2 (/ (* J J) (* U U))) 1) (* -2 (/ (* J J) (* U U))) (/ (* J J) (* U U)) (* J J) (* U U) 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) (* (* K K) (- (* 1/384 (* K K)) 1/8)) (* K K) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 1/8 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) 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))) (* (/ U J) (/ U J)) (/ U J) -1/4 (* (cos (* 1/2 K)) -2))

rewrite298.0ms (4.6%)

Memory
8.3MiB live, 344.7MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169531006
0175028927
0813427918
Stop Event
iter limit
node limit
iter limit
Counts
325 → 376
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 #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)
(cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(literal 1/2 binary64)
(/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
U
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))
#s(literal -1 binary64)
(*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)))
(/.f64 (*.f64 J J) (*.f64 U U))
(*.f64 J J)
(*.f64 U U)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))
(*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))
(*.f64 K K)
(-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/384 binary64) (*.f64 K K))
#s(literal 1/384 binary64)
#s(literal 1/8 binary64)
(sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
#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 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)
(fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
#s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J)))
(*.f64 (/.f64 U J) (/.f64 U J))
(/.f64 U J)
#s(literal -1/4 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
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#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (pow U 6))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4)))))))))
#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 (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* U (- (* -2 (/ (* J J) (* U U))) 1)) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#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 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sin.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(/.f64 (+.f64 (exp.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (exp.f64 (neg.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 U) (neg.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
U
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64))))
#s(literal -1 binary64)
(*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U)))) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
(-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U)))
(*.f64 (/.f64 J U) (/.f64 J U))
(/.f64 (neg.f64 (*.f64 J J)) (neg.f64 (*.f64 U U)))
(/.f64 (*.f64 J J) (*.f64 U U))
(*.f64 (pow.f64 J #s(literal 1 binary64)) (pow.f64 J #s(literal 1 binary64)))
(*.f64 (neg.f64 J) (neg.f64 J))
(*.f64 (fabs.f64 J) (fabs.f64 J))
(*.f64 J J)
(pow.f64 J #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64)))
(*.f64 (pow.f64 U #s(literal 1 binary64)) (pow.f64 U #s(literal 1 binary64)))
(*.f64 (fabs.f64 U) (fabs.f64 U))
(*.f64 (neg.f64 U) (neg.f64 U))
(*.f64 U U)
(pow.f64 U #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 U) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 K K)) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))
(*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 K #s(literal 1 binary64)) (pow.f64 K #s(literal 1 binary64)))
(*.f64 (neg.f64 K) (neg.f64 K))
(*.f64 (fabs.f64 K) (fabs.f64 K))
(*.f64 K K)
(pow.f64 K #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 K) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal 1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
(-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/384 binary64) (*.f64 K K))
#s(literal 1/384 binary64)
#s(literal 1/8 binary64)
(pow.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 (/.f64 U J)) (neg.f64 (/.f64 U J)))
(*.f64 (fabs.f64 (/.f64 U J)) (fabs.f64 (/.f64 U J)))
(*.f64 (/.f64 U J) (/.f64 U J))
(pow.f64 (/.f64 U J) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 U U)) (neg.f64 (*.f64 J J)))
(/.f64 (*.f64 U U) (*.f64 J J))
#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 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64))) (*.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 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #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 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (-.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 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))))))
(fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
(-.f64 (*.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)))
(+.f64 (*.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
#s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))
(*.f64 (neg.f64 (/.f64 U J)) (neg.f64 (/.f64 U J)))
(*.f64 (fabs.f64 (/.f64 U J)) (fabs.f64 (/.f64 U J)))
(*.f64 (/.f64 U J) (/.f64 U J))
(pow.f64 (/.f64 U J) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 U U)) (neg.f64 (*.f64 J J)))
(/.f64 (*.f64 U U) (*.f64 J J))
(/.f64 (neg.f64 U) (neg.f64 J))
(/.f64 U J)
#s(literal -1/4 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 J (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 J J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 J (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 J J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 J (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 J J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/720 binary64) (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (*.f64 U U)) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))) (*.f64 U U)) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (*.f64 (pow.f64 U #s(literal 6 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* -2 J) (*.f64 #s(literal -2 binary64) J))
#s(approx J J)
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J J) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J J) (-.f64 (*.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J J) (-.f64 (*.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/720 binary64) (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 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(log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))) (*.f64 U U)) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal -24 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#s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 J J) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 J J) (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))))))) (*.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)))))))
#s(approx (* 1/2 (/ U (* J (cos (* 1/2 K))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (/ U (* J (cos (* 1/2 K)))) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* J (cos (* 1/2 K))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U) (*.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 3 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 (*.f64 J J) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -1 binary64)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 U #s(literal -3 binary64)))) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -1 binary64)))))))
#s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) U)
#s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (-.f64 U (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U))))
#s(approx (* U (- (* -2 (/ (* J J) (* U U))) 1)) (*.f64 #s(literal -1 binary64) U))
#s(approx (* U (- (* -2 (/ (* J J) (* U U))) 1)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U)))
#s(approx (- (* -2 (/ (* J J) (* U U))) 1) #s(literal -1 binary64))
#s(approx (- (* -2 (/ (* J J) (* U U))) 1) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))
#s(approx (* -2 (/ (* J J) (* U U))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))))
#s(approx (/ (* J J) (* U U)) (*.f64 (/.f64 J U) (/.f64 J U)))
#s(approx (* J J) (*.f64 J J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 3 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 5 binary64))))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))) J))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 J J)) (*.f64 J J)))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))
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#s(approx (/ (* U U) (* J J)) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))))
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#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 2 binary64))))
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#s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))
#s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (pow.f64 U #s(literal -1 binary64)) (/.f64 U (*.f64 J J)))))
#s(approx (* U (- (* -2 (/ (* J J) (* U U))) 1)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U)))
#s(approx (* U (- (* -2 (/ (* J J) (* U U))) 1)) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 U (*.f64 J J)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -1 binary64))))))
#s(approx (- (* -2 (/ (* J J) (* U U))) 1) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))))
#s(approx (- (* -2 (/ (* J J) (* U U))) 1) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (pow.f64 U #s(literal -2 binary64)) (pow.f64 J #s(literal -2 binary64))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (pow.f64 J #s(literal 3 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) 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#s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) J)) (pow.f64 J #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (pow.f64 J #s(literal 3 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) J))) (pow.f64 J #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))) J)))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) J) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) J) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))))) J) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 J (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
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#s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 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#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/4 binary64) J)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) J (*.f64 #s(literal 1/23040 binary64) (*.f64 J (*.f64 K K)))))))))
#s(approx (cos (/ K 2)) #s(literal 1 binary64))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)))) #s(literal 1/8 binary64)))))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
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#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -720 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J)))) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (fma.f64 #s(literal 240 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))) #s(literal 3 binary64)) (*.f64 #s(literal 720 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))))) J) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J))) (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))))) (*.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))))))))))))))
#s(approx (* 1/2 (/ U (* J (cos (* 1/2 K))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
#s(approx (* 1/2 (/ U (* J (cos (* 1/2 K))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 K K) U) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
#s(approx (* 1/2 (/ U (* J (cos (* 1/2 K))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))))))
#s(approx (* 1/2 (/ U (* J (cos (* 1/2 K))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/16 binary64) (/.f64 U J) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))))))))
#s(approx (/ U (* J (cos (* 1/2 K)))) (/.f64 U J))
#s(approx (/ U (* J (cos (* 1/2 K)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 K K) U) J) (/.f64 U J)))
#s(approx (/ U (* J (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) (*.f64 #s(literal 1/8 binary64) (/.f64 U J))) (/.f64 U J)))
#s(approx (/ U (* J (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))))))) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) (*.f64 #s(literal 1/8 binary64) (/.f64 U J))) (/.f64 U J)))
#s(approx (* J (cos (* 1/2 K))) J)
#s(approx (* J (cos (* 1/2 K))) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)))))
#s(approx (* J (cos (* 1/2 K))) (+.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) J (*.f64 #s(literal 1/384 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* J (cos (* 1/2 K))) (+.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/384 binary64) J)))))))
#s(approx (cos (* 1/2 K)) #s(literal 1 binary64))
#s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))
#s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
#s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)))) #s(literal 1/8 binary64)))))
#s(approx (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/256 binary64) (*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/384 binary64) (*.f64 J (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))))) (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))))))))
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#s(approx (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) #s(literal 1 binary64))
#s(approx (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))
#s(approx (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
#s(approx (* (* K K) (- (* 1/384 (* K K)) 1/8)) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
#s(approx (* (* K K) (- (* 1/384 (* K K)) 1/8)) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))))
#s(approx (* K K) (*.f64 K K))
#s(approx (- (* 1/384 (* K K)) 1/8) #s(literal -1/8 binary64))
#s(approx (- (* 1/384 (* K K)) 1/8) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))
#s(approx (* 1/384 (* K K)) (*.f64 #s(literal 1/384 binary64) (*.f64 K K)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))
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#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 2 binary64))))
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#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (fma.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 K K) (fma.f64 J (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/384 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) #s(literal 1/192 binary64))) (*.f64 J (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/32 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (fma.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 K K) (fma.f64 J (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/32 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 (*.f64 K K) (fma.f64 J (*.f64 (*.f64 K K) (-.f64 #s(literal 1/23040 binary64) (*.f64 #s(literal -1/4 binary64) (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 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/384 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))))))) (*.f64 J (-.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/384 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) #s(literal 1/192 binary64)))))))))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 2 binary64)))
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#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/32 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/384 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) #s(literal 1/192 binary64))))))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) (-.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/32 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 (*.f64 K K) (-.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/384 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 (*.f64 K K) (-.f64 #s(literal 1/23040 binary64) (*.f64 #s(literal -1/4 binary64) (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 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/384 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))))) #s(literal 1/192 binary64))))))) #s(literal 2 binary64)))
#s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))
#s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (*.f64 K U) #s(literal 2 binary64)) (*.f64 J J)) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))
#s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (fma.f64 (*.f64 K K) (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/384 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))
#s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (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 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/384 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/384 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))
#s(approx (* (cos (* 1/2 K)) -2) #s(literal -2 binary64))
#s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) #s(literal 2 binary64)))
#s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 K K)))) #s(literal 2 binary64)))
#s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/23040 binary64) (*.f64 K K)) #s(literal 1/192 binary64))))) #s(literal 2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal -1 binary64))))))))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal -1 binary64))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (log.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (cos (* 1/2 K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))))
#s(approx (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) (*.f64 #s(literal 1/384 binary64) (pow.f64 K #s(literal 4 binary64))))
#s(approx (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) (*.f64 (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/384 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 K #s(literal -2 binary64))))))
#s(approx (+ 1 (* (* K K) (- (* 1/384 (* K K)) 1/8))) (*.f64 (pow.f64 K #s(literal 4 binary64)) (-.f64 (+.f64 #s(literal 1/384 binary64) (pow.f64 K #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 K #s(literal -2 binary64))))))
#s(approx (* (* K K) (- (* 1/384 (* K K)) 1/8)) (*.f64 #s(literal 1/384 binary64) (pow.f64 K #s(literal 4 binary64))))
#s(approx (* (* K K) (- (* 1/384 (* K K)) 1/8)) (*.f64 (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/384 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 K #s(literal -2 binary64))))))
#s(approx (- (* 1/384 (* K K)) 1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K)))
#s(approx (- (* 1/384 (* K K)) 1/8) (*.f64 (*.f64 K K) (-.f64 #s(literal 1/384 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 K #s(literal -2 binary64))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (* (cos (* 1/2 K)) -2) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 U (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 U (fma.f64 (*.f64 U U) (fma.f64 #s(literal 3/1280 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal -1/48 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 U (fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -5/14336 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 7 binary64))) (*.f64 #s(literal 3/1280 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/48 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))))
#s(approx U U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (neg U) (*.f64 #s(literal -1 binary64) U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 J #s(literal -1 binary64)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal -3 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 J #s(literal -1 binary64)))))))
#s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 J J) (*.f64 U U)) U))
#s(approx (* U (- (* -2 (/ (* J J) (* U U))) 1)) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 J J) (*.f64 #s(literal -1 binary64) (*.f64 U U))) U))
#s(approx (- (* -2 (/ (* J J) (* U U))) 1) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 J J) (*.f64 #s(literal -1 binary64) (*.f64 U U))) (*.f64 U U)))
#s(approx (* U U) (*.f64 U U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (* (+ (* (/ (* U U) (* (cos (* 1/2 K)) (* J J))) -1/4) (* (cos (* 1/2 K)) -2)) J) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))) (exp.f64 (neg.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))))))))
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(fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 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#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 U)) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 U)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 U)) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 240 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (fma.f64 #s(literal 720 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (*.f64 #s(literal 1440 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U))) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 U (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64))))
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#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 U (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64))))
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(*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U)))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (fma.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/720 binary64) (fma.f64 #s(literal -720 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (fma.f64 #s(literal -240 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (*.f64 #s(literal 1440 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))))))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))))) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal -720 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (fma.f64 #s(literal -240 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (*.f64 #s(literal 1440 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))))) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))) (fma.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))))))) (/.f64 (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))))) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U)))))))))) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U)))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))))))) (pow.f64 U #s(literal 4 binary64))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (log.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1 binary64) U))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) U)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal -720 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (fma.f64 #s(literal -240 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (*.f64 #s(literal 1440 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))))) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal 48 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) U)
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64)))))
#s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
#s(approx (* U (- (* -2 (/ (* J J) (* U U))) 1)) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 U U))))))))

eval153.0ms (2.4%)

Memory
-34.0MiB live, 106.8MiB allocated; 33ms collecting garbage
Compiler

Compiled 42 461 to 2 581 computations (93.9% saved)

prune30.0ms (0.5%)

Memory
35.9MiB live, 80.8MiB allocated; 6ms collecting garbage
Pruning

22 alts after pruning (18 fresh and 4 done)

PrunedKeptTotal
New4468454
Fresh51015
Picked235
Done011
Total45322475
Accuracy
99.9%
Counts
475 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
51.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
25.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
48.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
50.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
25.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/23040 binary64) (*.f64 K K)) #s(literal 1/192 binary64))))) #s(literal 2 binary64)))) J))
25.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) #s(literal 2 binary64)))) J))
49.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #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 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (-.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 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))))) J))
40.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
50.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
12.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
25.2%
#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 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))) J))
37.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
30.0%
#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 #s(literal -2 binary64) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
35.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
37.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
15.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
27.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
17.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))))))))
2.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
17.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
40.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal -1 binary64)))))))
Compiler

Compiled 2 279 to 1 349 computations (40.8% saved)

series135.0ms (2.1%)

Memory
4.1MiB live, 286.9MiB allocated; 28ms collecting garbage
Counts
50 → 374
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
U
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U)))))))
#s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))))))
(*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U)))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))))
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U)))
(*.f64 (/.f64 J U) (/.f64 J U))
(/.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)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.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)))
(fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 U J) (/.f64 U J))
(/.f64 U J)
#s(literal 1/4 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal -1 binary64))))))
#s(literal -1 binary64)
(*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal -1 binary64)))))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal -1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))
(*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))
#s(literal -1/4 binary64)
(fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal -1 binary64)))
(pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal -1 binary64))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(*.f64 #s(literal -1/2 binary64) (/.f64 U J))
#s(literal -1/2 binary64)
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) #s(hole binary64 (* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/720 (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (pow U 2))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))) (pow U 2))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/720 (/ (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (* (pow U 6) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))))))))
#s(approx (* (* -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 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(hole binary64 (* 1/2 (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(hole binary64 (+ (* 1/2 (* (pow J 2) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* 1/2 (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(hole binary64 (+ (* 1/2 (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (* (pow J 2) (+ (* 1/2 (* (pow J 2) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))) (* 1/2 (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(hole binary64 (+ (* 1/2 (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (* (pow J 2) (+ (* 1/2 (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* 1/2 (* (pow J 2) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/720 (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (pow U 2))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))) (pow U 2))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/720 (/ (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (* (pow U 6) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))) (* 1/2 (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))
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#s(approx (* -1 (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))))) #s(hole binary64 (* -1 (/ (+ (* -1 (* J (+ J (NAN)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* J (- (* -1 (pow J 3)) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2))))) (* -1 (/ (* J (+ (* -1 (* (NAN) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2)))) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2)))) U))) U)) (* J (pow (NAN) 2))) U))) U))))
#s(approx (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)))) #s(hole binary64 (* -1 (/ (* J (+ J (NAN))) U))))
#s(approx (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)))) #s(hole binary64 (* -1 (/ (+ (* J (+ J (NAN))) (/ (* J (pow (NAN) 2)) U)) U))))
#s(approx (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (* J (pow (NAN) 2))) (* -1 (/ (* J (- (* -1 (pow J 3)) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2)))) U))) U)) (* J (+ J (NAN)))) U))))
#s(approx (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (* J (pow (NAN) 2))) (* -1 (/ (+ (* J (- (* -1 (pow J 3)) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2)))) (/ (* J (+ (* -1 (* (NAN) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2)))) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2)))) U)) U))) U)) (* J (+ J (NAN)))) U))))
#s(approx (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) #s(hole binary64 (* -1 (/ (+ J (NAN)) U))))
#s(approx (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) #s(hole binary64 (* -1 (/ (+ J (+ (NAN) (/ (pow (NAN) 2) U))) U))))
#s(approx (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) #s(hole binary64 (* -1 (/ (+ J (+ (NAN) (* -1 (/ (- (* -1 (/ (- (* -1 (pow J 3)) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2))) U)) (pow (NAN) 2)) U)))) U))))
#s(approx (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) #s(hole binary64 (* -1 (/ (+ J (+ (NAN) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (NAN) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2))) U)) (+ (* -1 (/ (pow (NAN) 3) U)) (+ (* -1 (pow J 3)) (/ (pow (NAN) 2) U)))) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2))) U)) (pow (NAN) 2)) U)))) U))))
#s(approx (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) #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)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) #s(hole binary64 (* -1 (* U (- (/ (NAN) (pow U 2)) (* 1/2 (/ 1 J)))))))
#s(approx (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) #s(hole binary64 (* -1 (* U (- (+ (/ (NAN) (pow U 2)) (/ (pow (NAN) 2) (pow U 3))) (* 1/2 (/ 1 J)))))))
#s(approx (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) #s(hole binary64 (* -1 (* U (- (+ (* -1 (/ (- (+ (* -1 (/ (pow (NAN) 3) U)) (/ (pow (NAN) 2) U)) (pow (NAN) 2)) (pow U 3))) (/ (NAN) (pow U 2))) (* 1/2 (/ 1 J)))))))
#s(approx (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) #s(hole binary64 (* -1 (/ (NAN) U))))
#s(approx (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) #s(hole binary64 (* -1 (/ (+ (NAN) (/ (pow (NAN) 2) U)) U))))
#s(approx (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) #s(hole binary64 (* -1 (/ (+ (NAN) (* -1 (/ (- (+ (* -1 (/ (pow (NAN) 3) U)) (/ (pow (NAN) 2) U)) (pow (NAN) 2)) U))) U))))
#s(approx (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) #s(hole binary64 (* -1 (/ (+ (NAN) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (NAN) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2))) U)) (+ (* -1 (/ (pow (NAN) 3) U)) (/ (pow (NAN) 2) U))) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2))) U)) (pow (NAN) 2)) U))) U))))
#s(approx (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) #s(hole binary64 (* -1 (/ J U))))
#s(approx (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) #s(hole binary64 (* -1 (/ (+ J (* -1 (/ (pow J 3) (pow U 2)))) U))))
#s(approx (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) #s(hole binary64 (* -1 (/ (+ J (+ (* -1 (/ (pow J 3) (pow U 2))) (* 2 (/ (pow J 5) (pow U 4))))) U))))
#s(approx (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) #s(hole binary64 (* -1 (/ (+ J (+ (* -1 (/ (* J (+ (* 4 (pow J 6)) (pow J 6))) (pow U 6))) (+ (* -1 (/ (pow J 3) (pow U 2))) (* 2 (/ (pow J 5) (pow U 4)))))) U))))
Calls

9 calls:

TimeVariablePointExpression
18.0ms
J
@inf
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2 K (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* 1/2 (/ U (* J (cos (* 1/2 K))))) (/ U (* J (cos (* 1/2 K)))) U (* J (cos (* 1/2 K))) (cos (* 1/2 K)) (* (* (* -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))) (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (* U (- 1 (* -2 (* (/ J U) (/ J U))))) (- 1 (* -2 (* (/ J U) (/ J U)))) 1 (* -2 (* (/ J U) (/ J U))) (* (/ J U) (/ J U)) (/ J U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) (/ U J) 1/4 (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* -1 (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))))) -1 (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)))) (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (- 1 (* -1/4 (* (/ U J) (/ U J)))) (* -1/4 (* (/ U J) (/ U J))) -1/4 (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) (* -1/2 (/ U J)) -1/2)
18.0ms
K
@0
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2 K (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* 1/2 (/ U (* J (cos (* 1/2 K))))) (/ U (* J (cos (* 1/2 K)))) U (* J (cos (* 1/2 K))) (cos (* 1/2 K)) (* (* (* -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))) (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (* U (- 1 (* -2 (* (/ J U) (/ J U))))) (- 1 (* -2 (* (/ J U) (/ J U)))) 1 (* -2 (* (/ J U) (/ J U))) (* (/ J U) (/ J U)) (/ J U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) (/ U J) 1/4 (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* -1 (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))))) -1 (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)))) (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (- 1 (* -1/4 (* (/ U J) (/ U J)))) (* -1/4 (* (/ U J) (/ U J))) -1/4 (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) (* -1/2 (/ U J)) -1/2)
13.0ms
K
@inf
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2 K (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* 1/2 (/ U (* J (cos (* 1/2 K))))) (/ U (* J (cos (* 1/2 K)))) U (* J (cos (* 1/2 K))) (cos (* 1/2 K)) (* (* (* -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))) (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (* U (- 1 (* -2 (* (/ J U) (/ J U))))) (- 1 (* -2 (* (/ J U) (/ J U)))) 1 (* -2 (* (/ J U) (/ J U))) (* (/ J U) (/ J U)) (/ J U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) (/ U J) 1/4 (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* -1 (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))))) -1 (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)))) (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (- 1 (* -1/4 (* (/ U J) (/ U J)))) (* -1/4 (* (/ U J) (/ U J))) -1/4 (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) (* -1/2 (/ U J)) -1/2)
13.0ms
J
@0
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2 K (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* 1/2 (/ U (* J (cos (* 1/2 K))))) (/ U (* J (cos (* 1/2 K)))) U (* J (cos (* 1/2 K))) (cos (* 1/2 K)) (* (* (* -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))) (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (* U (- 1 (* -2 (* (/ J U) (/ J U))))) (- 1 (* -2 (* (/ J U) (/ J U)))) 1 (* -2 (* (/ J U) (/ J U))) (* (/ J U) (/ J U)) (/ J U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) (/ U J) 1/4 (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* -1 (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))))) -1 (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)))) (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (- 1 (* -1/4 (* (/ U J) (/ U J)))) (* -1/4 (* (/ U J) (/ U J))) -1/4 (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) (* -1/2 (/ U J)) -1/2)
11.0ms
U
@inf
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) (* 1/2 K) 1/2 K (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* 1/2 (/ U (* J (cos (* 1/2 K))))) (/ U (* J (cos (* 1/2 K)))) U (* J (cos (* 1/2 K))) (cos (* 1/2 K)) (* (* (* -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))) (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (* U (- 1 (* -2 (* (/ J U) (/ J U))))) (- 1 (* -2 (* (/ J U) (/ J U)))) 1 (* -2 (* (/ J U) (/ J U))) (* (/ J U) (/ J U)) (/ J U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+ (* (* (/ U J) (/ U J)) 1/4) 1) (* (/ U J) (/ U J)) (/ U J) 1/4 (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* -1 (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))))) -1 (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)))) (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (- 1 (* -1/4 (* (/ U J) (/ U J)))) (* -1/4 (* (/ U J) (/ U J))) -1/4 (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) (* -1/2 (/ U J)) -1/2)

rewrite288.0ms (4.4%)

Memory
-14.3MiB live, 467.6MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0216937357
0222334701
0920633562
Stop Event
iter limit
node limit
iter limit
Counts
424 → 458
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
U
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
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#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (pow U 6))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4)))))))))
#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 (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* U (- 1 (* -2 (* (/ J U) (/ J U))))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 U))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U 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 J) (/ U 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 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)))))))))
#s(approx (* -1 (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))))) #s(hole binary64 (/ (* J (+ J (NAN))) U)))
#s(approx (* -1 (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))))) #s(hole binary64 (* -1 (/ (+ (* -1 (* J (+ J (NAN)))) (* -1 (/ (* J (pow (NAN) 2)) U))) U))))
#s(approx (* -1 (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))))) #s(hole binary64 (* -1 (/ (+ (* -1 (* J (+ J (NAN)))) (* -1 (/ (+ (* J (pow (NAN) 2)) (/ (* J (- (* -1 (pow J 3)) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2)))) U)) U))) U))))
#s(approx (* -1 (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))))) #s(hole binary64 (* -1 (/ (+ (* -1 (* J (+ J (NAN)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* J (- (* -1 (pow J 3)) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2))))) (* -1 (/ (* J (+ (* -1 (* (NAN) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2)))) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2)))) U))) U)) (* J (pow (NAN) 2))) U))) U))))
#s(approx (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)))) #s(hole binary64 (* -1 (/ (* J (+ J (NAN))) U))))
#s(approx (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)))) #s(hole binary64 (* -1 (/ (+ (* J (+ J (NAN))) (/ (* J (pow (NAN) 2)) U)) U))))
#s(approx (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (* J (pow (NAN) 2))) (* -1 (/ (* J (- (* -1 (pow J 3)) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2)))) U))) U)) (* J (+ J (NAN)))) U))))
#s(approx (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (* J (pow (NAN) 2))) (* -1 (/ (+ (* J (- (* -1 (pow J 3)) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2)))) (/ (* J (+ (* -1 (* (NAN) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2)))) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2)))) U)) U))) U)) (* J (+ J (NAN)))) U))))
#s(approx (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) #s(hole binary64 (* -1 (/ (+ J (NAN)) U))))
#s(approx (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) #s(hole binary64 (* -1 (/ (+ J (+ (NAN) (/ (pow (NAN) 2) U))) U))))
#s(approx (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) #s(hole binary64 (* -1 (/ (+ J (+ (NAN) (* -1 (/ (- (* -1 (/ (- (* -1 (pow J 3)) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2))) U)) (pow (NAN) 2)) U)))) U))))
#s(approx (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) #s(hole binary64 (* -1 (/ (+ J (+ (NAN) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (NAN) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2))) U)) (+ (* -1 (/ (pow (NAN) 3) U)) (+ (* -1 (pow J 3)) (/ (pow (NAN) 2) U)))) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2))) U)) (pow (NAN) 2)) U)))) U))))
#s(approx (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) #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)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) #s(hole binary64 (* -1 (* U (- (/ (NAN) (pow U 2)) (* 1/2 (/ 1 J)))))))
#s(approx (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) #s(hole binary64 (* -1 (* U (- (+ (/ (NAN) (pow U 2)) (/ (pow (NAN) 2) (pow U 3))) (* 1/2 (/ 1 J)))))))
#s(approx (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) #s(hole binary64 (* -1 (* U (- (+ (* -1 (/ (- (+ (* -1 (/ (pow (NAN) 3) U)) (/ (pow (NAN) 2) U)) (pow (NAN) 2)) (pow U 3))) (/ (NAN) (pow U 2))) (* 1/2 (/ 1 J)))))))
#s(approx (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) #s(hole binary64 (* -1 (/ (NAN) U))))
#s(approx (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) #s(hole binary64 (* -1 (/ (+ (NAN) (/ (pow (NAN) 2) U)) U))))
#s(approx (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) #s(hole binary64 (* -1 (/ (+ (NAN) (* -1 (/ (- (+ (* -1 (/ (pow (NAN) 3) U)) (/ (pow (NAN) 2) U)) (pow (NAN) 2)) U))) U))))
#s(approx (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) #s(hole binary64 (* -1 (/ (+ (NAN) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (NAN) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2))) U)) (+ (* -1 (/ (pow (NAN) 3) U)) (/ (pow (NAN) 2) U))) (+ (* -1 (pow (NAN) 3)) (pow (NAN) 2))) U)) (pow (NAN) 2)) U))) U))))
#s(approx (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) #s(hole binary64 (* -1 (/ J U))))
#s(approx (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) #s(hole binary64 (* -1 (/ (+ J (* -1 (/ (pow J 3) (pow U 2)))) U))))
#s(approx (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) #s(hole binary64 (* -1 (/ (+ J (+ (* -1 (/ (pow J 3) (pow U 2))) (* 2 (/ (pow J 5) (pow U 4))))) U))))
#s(approx (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) #s(hole binary64 (* -1 (/ (+ J (+ (* -1 (/ (* J (+ (* 4 (pow J 6)) (pow J 6))) (pow U 6))) (+ (* -1 (/ (pow J 3) (pow U 2))) (* 2 (/ (pow J 5) (pow U 4)))))) U))))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sin.f64 (+.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(/.f64 (+.f64 (exp.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (exp.f64 (neg.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
U
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 J U) #s(literal 2 binary64))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 J U) #s(literal 2 binary64)))))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 J (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J)))))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J))))))))))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 J J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/720 binary64) (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (*.f64 U U)) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J)))))))))) (*.f64 U U)) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (*.f64 (pow.f64 U #s(literal 6 binary64)) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J))))))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* -2 J) (*.f64 #s(literal -2 binary64) J))
#s(approx J J)
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J J) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J)))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J)))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J)))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J J) (-.f64 (*.f64 (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J)))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J))))))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J))))) (*.f64 U U)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 U U) (exp.f64 (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J))))))))))))
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#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1 binary64) (log.f64 J))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 J J) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)))))))
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#s(approx (* 1/2 (/ U (* J (cos (* 1/2 K))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (/ U (* J (cos (* 1/2 K)))) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* J (cos (* 1/2 K))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
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#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 (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) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 3 binary64))) (pow.f64 U #s(literal -1 binary64))))) J))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64)))) (pow.f64 U #s(literal -3 binary64))) (pow.f64 U #s(literal -1 binary64))))) J))
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#s(approx (/ U J) (/.f64 U J))
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#s(approx (* -1 (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 U #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 #s(literal -1/2 binary64) U)) #s(literal -1 binary64))) (*.f64 (*.f64 J J) (+.f64 (pow.f64 (*.f64 U (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 #s(literal -1/2 binary64) U)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 U #s(literal -3 binary64))))))))
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1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (pow.f64 J #s(literal 4 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (pow.f64 J #s(literal 3 binary64))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(literal 1 binary64))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (pow.f64 J #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (pow.f64 J #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))) J))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J)))) J))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) (pow.f64 J #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))))) #s(literal 2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J (-.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (fma.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64)))))) #s(literal 2 binary64))))
#s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))
#s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (pow.f64 U #s(literal -1 binary64)) (/.f64 U (*.f64 J J)))))
#s(approx (* U (- 1 (* -2 (* (/ J U) (/ J U))))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))
#s(approx (* U (- 1 (* -2 (* (/ J U) (/ J U))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (pow.f64 U #s(literal -1 binary64)) (/.f64 U (*.f64 J J)))))
#s(approx (- 1 (* -2 (* (/ J U) (/ J U)))) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 J U) #s(literal 2 binary64))))
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(pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) J)) (pow.f64 J #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (pow.f64 J #s(literal 3 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) J))) (pow.f64 J #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))) J)))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) J) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) J) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))))) J) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))))
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#s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 3 binary64))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/4 binary64) J)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) J (*.f64 #s(literal 1/23040 binary64) (*.f64 J (*.f64 K K)))))))))
#s(approx (cos (/ K 2)) #s(literal 1 binary64))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)))) #s(literal 1/8 binary64)))))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
#s(approx (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal -1 binary64))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal -1 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal -1 binary64)))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (*.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))))))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal -1 binary64)))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) (fma.f64 #s(literal 1/720 binary64) (fma.f64 #s(literal -720 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J)))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))) (fma.f64 #s(literal 240 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))) #s(literal 3 binary64)) (*.f64 #s(literal 720 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))))) J) 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#s(approx (* 1/2 (/ U (* J (cos (* 1/2 K))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
#s(approx (* 1/2 (/ U (* J (cos (* 1/2 K))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 K K) U) J) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))
#s(approx (* 1/2 (/ U (* J (cos (* 1/2 K))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))))))
#s(approx (* 1/2 (/ U (* J (cos (* 1/2 K))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/16 binary64) (/.f64 U J) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))))))))
#s(approx (/ U (* J (cos (* 1/2 K)))) (/.f64 U J))
#s(approx (/ U (* J (cos (* 1/2 K)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 K K) U) J) (/.f64 U J)))
#s(approx (/ U (* J (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))) (*.f64 #s(literal -1/8 binary64) (/.f64 U J))) (/.f64 U J)))
#s(approx (/ U (* J (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))))))) (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J))))) (*.f64 #s(literal -1/8 binary64) (/.f64 U J))) (/.f64 U J)))
#s(approx (* J (cos (* 1/2 K))) J)
#s(approx (* J (cos (* 1/2 K))) (+.f64 J (*.f64 #s(literal -1/8 binary64) (*.f64 J (*.f64 K K)))))
#s(approx (* J (cos (* 1/2 K))) (+.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) J (*.f64 #s(literal 1/384 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* J (cos (* 1/2 K))) (+.f64 J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/384 binary64) J)))))))
#s(approx (cos (* 1/2 K)) #s(literal 1 binary64))
#s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))
#s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
#s(approx (cos (* 1/2 K)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)))) #s(literal 1/8 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/256 binary64) (*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/384 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))))) (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))) (*.f64 (*.f64 K K) (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/12288 binary64) (*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/1440 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (fma.f64 #s(literal 1/192 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))))))))) (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal -1/256 binary64) (*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/384 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal -1 binary64))))))))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal -1 binary64))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (cos (* 1/2 K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/128 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 U (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 U (fma.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 3/1280 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/48 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 U (fma.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 U U) (fma.f64 #s(literal -5/14336 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 7 binary64))) (*.f64 #s(literal 3/1280 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64)) #s(literal -1 binary64))))) (*.f64 #s(literal 1/48 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))))
#s(approx U U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))))
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#s(approx (* U (- 1 (* -2 (* (/ J U) (/ J U))))) (*.f64 U (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 J U) #s(literal 2 binary64))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal 1 binary64))))
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#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 U (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal -1 binary64)) (/.f64 J (*.f64 U U))))))
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#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/4 binary64) (pow.f64 J #s(literal -2 binary64)) (pow.f64 U #s(literal -2 binary64)))))
#s(approx (* -1 (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 J U) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* -1 (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))))) (*.f64 U (-.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 J U) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 J #s(literal 3 binary64))) (pow.f64 J #s(literal 3 binary64)))) (pow.f64 U #s(literal 4 binary64))))) #s(literal 1 binary64))))
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#s(approx (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)))) (*.f64 U (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 J U) #s(literal 2 binary64))))))
#s(approx (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)))) (*.f64 U (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 J U) #s(literal 2 binary64)) (/.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 J #s(literal 3 binary64))) (pow.f64 J #s(literal 3 binary64)))) (pow.f64 U #s(literal 4 binary64)))))))
#s(approx (* J (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)))) (*.f64 U (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 J U) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 J #s(literal 3 binary64))) (pow.f64 J #s(literal 3 binary64)))) (pow.f64 U #s(literal 4 binary64))) (/.f64 (*.f64 J (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (pow.f64 J #s(literal 5 binary64))))) (pow.f64 U #s(literal 6 binary64))))))))
#s(approx (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) (*.f64 U (fma.f64 #s(literal 2 binary64) (/.f64 J (*.f64 U U)) (pow.f64 J #s(literal -1 binary64)))))
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#s(approx (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) (*.f64 U (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 J (*.f64 U U)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal -1 binary64))))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))))))
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#s(approx (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) (/.f64 J U))
#s(approx (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) (/.f64 (+.f64 J (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 J #s(literal 3 binary64)) (*.f64 U U)))) U))
#s(approx (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) (/.f64 (-.f64 (+.f64 J (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 4 binary64))))) (/.f64 (pow.f64 J #s(literal 3 binary64)) (*.f64 U U))) U))
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#s(approx (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 J (NAN.f64)) U)))
#s(approx (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 J (+.f64 (NAN.f64) (/.f64 (*.f64 (NAN.f64) (NAN.f64)) U))) U)))
#s(approx (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 J (+.f64 (NAN.f64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 J #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (NAN.f64) #s(literal 3 binary64)) (*.f64 (NAN.f64) (NAN.f64)))) U)) (*.f64 (NAN.f64) (NAN.f64))) U)))) U)))
#s(approx (+ (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 J (+.f64 (NAN.f64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (NAN.f64) (fma.f64 #s(literal -1 binary64) (pow.f64 (NAN.f64) #s(literal 3 binary64)) (*.f64 (NAN.f64) (NAN.f64)))) U) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (NAN.f64) #s(literal 3 binary64)) U) (fma.f64 #s(literal -1 binary64) (pow.f64 J #s(literal 3 binary64)) (/.f64 (*.f64 (NAN.f64) (NAN.f64)) U)))) (fma.f64 #s(literal -1 binary64) (pow.f64 (NAN.f64) #s(literal 3 binary64)) (*.f64 (NAN.f64) (NAN.f64)))) U)) (*.f64 (NAN.f64) (NAN.f64))) U)))) U)))
#s(approx (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
#s(approx (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal -1 binary64)) (/.f64 J (*.f64 U U))))))
#s(approx (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal -1 binary64)) (/.f64 J (*.f64 U U)))))))
#s(approx (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (*.f64 #s(literal -1 binary64) (*.f64 U (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal -1 binary64)) (/.f64 J (*.f64 U U))))))))
#s(approx (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (/.f64 (NAN.f64) (*.f64 U U)) (*.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal -1 binary64)))))))
#s(approx (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (/.f64 (NAN.f64) (*.f64 U U)) (/.f64 (*.f64 (NAN.f64) (NAN.f64)) (pow.f64 U #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal -1 binary64)))))))
#s(approx (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (NAN.f64) #s(literal 3 binary64)) U) (/.f64 (*.f64 (NAN.f64) (NAN.f64)) U)) (*.f64 (NAN.f64) (NAN.f64))) (pow.f64 U #s(literal 3 binary64))) (/.f64 (NAN.f64) (*.f64 U U))) (*.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal -1 binary64)))))))
#s(approx (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) (*.f64 #s(literal -1 binary64) (/.f64 (NAN.f64) U)))
#s(approx (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (NAN.f64) (/.f64 (*.f64 (NAN.f64) (NAN.f64)) U)) U)))
#s(approx (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (NAN.f64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (NAN.f64) #s(literal 3 binary64)) U) (/.f64 (*.f64 (NAN.f64) (NAN.f64)) U)) (*.f64 (NAN.f64) (NAN.f64))) U))) U)))
#s(approx (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (NAN.f64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (NAN.f64) (fma.f64 #s(literal -1 binary64) (pow.f64 (NAN.f64) #s(literal 3 binary64)) (*.f64 (NAN.f64) (NAN.f64)))) U) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (NAN.f64) #s(literal 3 binary64)) U) (/.f64 (*.f64 (NAN.f64) (NAN.f64)) U))) (fma.f64 #s(literal -1 binary64) (pow.f64 (NAN.f64) #s(literal 3 binary64)) (*.f64 (NAN.f64) (NAN.f64)))) U)) (*.f64 (NAN.f64) (NAN.f64))) U))) U)))
#s(approx (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) (*.f64 #s(literal -1 binary64) (/.f64 J U)))
#s(approx (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 J (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 J #s(literal 3 binary64)) (*.f64 U U)))) U)))
#s(approx (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 J (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 J #s(literal 3 binary64)) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 4 binary64)))))) U)))
#s(approx (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 J (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (fma.f64 #s(literal 4 binary64) (pow.f64 J #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64)))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 J #s(literal 3 binary64)) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 4 binary64))))))) U)))

eval142.0ms (2.2%)

Memory
16.5MiB live, 274.1MiB allocated; 69ms collecting garbage
Compiler

Compiled 55 441 to 3 590 computations (93.5% saved)

prune71.0ms (1.1%)

Memory
-3.4MiB live, 104.3MiB allocated; 37ms collecting garbage
Pruning

23 alts after pruning (16 fresh and 7 done)

PrunedKeptTotal
New5643567
Fresh01313
Picked145
Done134
Total56623589
Accuracy
99.9%
Counts
589 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
51.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
25.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
48.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
50.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
25.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/23040 binary64) (*.f64 K K)) #s(literal 1/192 binary64))))) #s(literal 2 binary64)))) J))
25.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) #s(literal 2 binary64)))) J))
49.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #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 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (-.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 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))))) J))
40.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
50.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
12.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
25.2%
#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 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))) J))
37.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
30.0%
#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 #s(literal -2 binary64) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
35.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
37.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
27.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
15.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))))))
17.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))))))))
2.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
17.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
40.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))))))
21.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) #s(approx (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))
Compiler

Compiled 3 410 to 1 096 computations (67.9% saved)

regimes97.0ms (1.5%)

Memory
-5.8MiB live, 132.0MiB allocated; 40ms collecting garbage
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.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))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) #s(literal 2 binary64)))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) #s(approx (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/23040 binary64) (*.f64 K K)) #s(literal 1/192 binary64))))) #s(literal 2 binary64)))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#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 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (*.f64 K K) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))) #s(literal 2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)))) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) U) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal -1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
#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 #s(literal -2 binary64) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#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 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #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 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (*.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (-.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 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #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 (pow.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal -1/4 binary64)) #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) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal -1/4 binary64)) (-.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) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))))) J))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

6 calls:

18.0ms
U
17.0ms
J
11.0ms
K
10.0ms
(/.f64 K #s(literal 2 binary64))
10.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
81.4%1(/.f64 K #s(literal 2 binary64))
81.4%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
99.9%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
86.6%2J
81.4%1K
84.0%2U
Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes11.0ms (0.2%)

Memory
20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.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))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) #s(literal 2 binary64)))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) #s(approx (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/23040 binary64) (*.f64 K K)) #s(literal 1/192 binary64))))) #s(literal 2 binary64)))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#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 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (*.f64 K K) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))) #s(literal 2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)))) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) U) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal -1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
#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 #s(literal -2 binary64) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#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 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))) J))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

1 calls:

9.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
92.3%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)

regimes20.0ms (0.3%)

Memory
-15.4MiB live, 31.2MiB allocated; 5ms collecting garbage
Counts
30 → 6
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.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))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) #s(literal 2 binary64)))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) #s(approx (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/23040 binary64) (*.f64 K K)) #s(literal 1/192 binary64))))) #s(literal 2 binary64)))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#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 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (*.f64 K K) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))) #s(literal 2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)))) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) U) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal -1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 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)) (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

2 calls:

10.0ms
J
7.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
72.3%3J
90.9%6(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 25 to 20 computations (20% saved)

regimes8.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Counts
26 → 6
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.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))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) #s(literal 2 binary64)))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) #s(approx (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/23040 binary64) (*.f64 K K)) #s(literal 1/192 binary64))))) #s(literal 2 binary64)))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#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 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (*.f64 K K) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))) #s(literal 2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)))) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) U) #s(literal -2 binary64) (neg.f64 U)))
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))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

1 calls:

6.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
90.9%6(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes14.0ms (0.2%)

Memory
26.7MiB live, 26.7MiB allocated; 0ms 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 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.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))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) #s(literal 2 binary64)))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) #s(approx (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/23040 binary64) (*.f64 K K)) #s(literal 1/192 binary64))))) #s(literal 2 binary64)))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#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 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (*.f64 K K) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))) #s(literal 2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)))) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U 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)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

2 calls:

6.0ms
U
6.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
69.0%2U
88.0%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 25 to 20 computations (20% saved)

regimes8.0ms (0.1%)

Memory
-35.3MiB live, 10.6MiB allocated; 2ms collecting garbage
Counts
22 → 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 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.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))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) #s(literal 2 binary64)))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) #s(approx (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/23040 binary64) (*.f64 K K)) #s(literal 1/192 binary64))))) #s(literal 2 binary64)))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#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 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (*.f64 K K) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))) #s(literal 2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)))) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
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))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

1 calls:

6.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
88.0%5(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes25.0ms (0.4%)

Memory
-2.7MiB live, 43.3MiB allocated; 2ms 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 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.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))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) #s(literal 2 binary64)))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) #s(approx (+ (* 1/2 (/ U J)) (pow (- (sqrt (- 1 (* -1/4 (* (/ U J) (/ U J))))) (* -1/2 (/ U J))) -1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/23040 binary64) (*.f64 K K)) #s(literal 1/192 binary64))))) #s(literal 2 binary64)))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#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 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)) (*.f64 (*.f64 K K) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))) #s(literal 2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)))) #s(literal 1/8 binary64)))))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))))))))
Calls

4 calls:

7.0ms
(/.f64 K #s(literal 2 binary64))
6.0ms
K
5.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
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
53.3%4(/.f64 K #s(literal 2 binary64))
53.3%4K
62.9%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
77.6%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 32 to 31 computations (3.1% saved)

regimes9.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Counts
13 → 4
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.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))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) #s(approx (* (cos (* 1/2 K)) -2) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K 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))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))))))))
Calls

2 calls:

4.0ms
J
4.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
53.9%3J
72.9%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 25 to 20 computations (20% saved)

regimes8.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Counts
11 → 4
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.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))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #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))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))))))))
Calls

2 calls:

4.0ms
U
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
51.2%2U
67.6%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 25 to 20 computations (20% saved)

regimes4.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Counts
9 → 4
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.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 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J 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
67.4%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes78.0ms (1.2%)

Memory
-41.9MiB live, 8.8MiB allocated; 107ms collecting garbage
Counts
8 → 4
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (* -1 (* U (- (* -2 (/ (* J J) (* U U))) 1))) (*.f64 U (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

1 calls:

77.0ms
(*.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
67.3%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory
8.9MiB live, 8.9MiB 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

2 calls:

1.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
52.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
52.8%2(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 28 to 23 computations (17.9% saved)

regimes7.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB 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
(/.f64 K #s(literal 2 binary64))
1.0ms
K
1.0ms
J
1.0ms
U
Results
AccuracySegmentsBranch
17.2%1(/.f64 K #s(literal 2 binary64))
17.2%1K
17.2%1U
17.2%1J
17.2%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)))))
17.2%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
left-value
Steps
TimeLeftRight
0.0ms
6.017980798106921e+292
+inf
0.0ms
-inf
-9.176802798235468e+306
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.017980798106921e+292
+inf
0.0ms
-inf
-9.176802798235468e+306
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.017980798106921e+292
+inf
0.0ms
-8.6322607748978e-271
3.76563063968156e-242
0.0ms
-2.1826195630624892e-30
-1.9312655966113352e-31
0.0ms
-3.2035918603990563e+168
-5.117780658170513e+160
0.0ms
-4.404250096232249e+300
-1.7561011480027808e+298
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.017980798106921e+292
+inf
0.0ms
-8.6322607748978e-271
3.76563063968156e-242
0.0ms
-2.1826195630624892e-30
-1.9312655966113352e-31
0.0ms
-3.2035918603990563e+168
-5.117780658170513e+160
0.0ms
-4.404250096232249e+300
-1.7561011480027808e+298
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.017980798106921e+292
+inf
0.0ms
-8.6322607748978e-271
3.76563063968156e-242
0.0ms
-4.950691776292487e+34
-2.815768980547658e+30
0.0ms
-4.404250096232249e+300
-1.7561011480027808e+298
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.017980798106921e+292
+inf
0.0ms
-8.6322607748978e-271
3.76563063968156e-242
0.0ms
-4.950691776292487e+34
-2.815768980547658e+30
0.0ms
-4.404250096232249e+300
-1.7561011480027808e+298
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-8.6322607748978e-271
3.76563063968156e-242
0.0ms
-inf
-9.176802798235468e+306
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-8.6322607748978e-271
3.76563063968156e-242
0.0ms
-1.8977031606671908e-90
-5.43991820720439e-125
0.0ms
-1.2905631115529867e+278
-1.80773813669981e+277
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-8.6322607748978e-271
3.76563063968156e-242
0.0ms
-1.8977031606671908e-90
-5.43991820720439e-125
0.0ms
-4.404250096232249e+300
-1.7561011480027808e+298
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-8.6322607748978e-271
3.76563063968156e-242
0.0ms
-1.8977031606671908e-90
-5.43991820720439e-125
0.0ms
-4.404250096232249e+300
-1.7561011480027808e+298
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-8.6322607748978e-271
3.76563063968156e-242
0.0ms
-1.8977031606671908e-90
-5.43991820720439e-125
0.0ms
-4.404250096232249e+300
-1.7561011480027808e+298
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch40.0ms (0.6%)

Memory
-37.2MiB live, 57.6MiB allocated; 14ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
34.0ms
-0.032078479321679336
0.03113022931026193
Samples
25.0ms240×0valid
Compiler

Compiled 819 to 609 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (36.8% of total)
ival-pow2: 7.0ms (36.8% of total)
ival-div: 2.0ms (10.5% of total)
ival-sqrt: 2.0ms (10.5% of total)
ival-add: 1.0ms (5.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify57.0ms (0.9%)

Memory
35.8MiB live, 81.5MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01793009
12853009
26713009
324033009
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.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))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.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))))) #s(literal 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)))
(if (<=.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))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.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))))) #s(literal 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984 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))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)))
(if (<=.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))))) #s(literal -4000000000000000210019041020817680994817874324432636619663416462047209831955632783145485500321791456174817775331535512707770092941441722302579168739146827931393548803706303214951320935179152360237475812939883199780324476155870563520298610971120569978317035155280227371352462677888785547461837602160640 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 U (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 J U) (/.f64 J U))) #s(literal 1 binary64))))) (if (<=.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))))) #s(literal -1999999999999999867720989669485949124743900432860663037223385644615401293399207295251384865191691894341829109199397042951078761626889625586558917010807457234988770000896 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (/ (* U U) (* (cos (* 1/2 K)) (* J J))) (*.f64 (/.f64 U J) (/.f64 U J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)) (if (<=.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))))) #s(literal -178405961588245/89202980794122492566142873090593446023921664 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (if (<=.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))))) #s(literal -2379227053564453/4758454107128905800953799994079681792420032645310062268978469949811010102913293995344538606387700321887355916128617513761454672785743698264930657859527662802505506689431871596616596511469752757984765426503524599059416795862009216282102716609115705865638544337453260521036049116206989312 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))))))))) (if (<=.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))))) #s(literal 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984 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))))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Outputs
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

derivations352.0ms (5.4%)

Memory
-11.1MiB live, 360.0MiB allocated; 28ms collecting garbage
Stop Event
fuel
Compiler

Compiled 3 013 to 184 computations (93.9% saved)

preprocess153.0ms (2.3%)

Memory
-3.3MiB live, 231.2MiB allocated; 42ms collecting garbage
Remove

(abs K)

Compiler

Compiled 7 424 to 902 computations (87.9% saved)

end0.0ms (0%)

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

Profiling

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