Maksimov and Kolovsky, Equation (3)

Time bar (total: 4.4s)

start0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

analyze631.0ms (14.3%)

Memory
5.4MiB live, 379.7MiB allocated; 799ms 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)

sample1.5s (33.1%)

Memory
82.3MiB live, 1 599.6MiB allocated; 215ms collecting garbage
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 845.0ms
ival-mult: 308.0ms (36.4% of total)
ival-cos: 183.0ms (21.7% of total)
ival-div: 142.0ms (16.8% of total)
ival-pow2: 84.0ms (9.9% of total)
ival-sqrt: 67.0ms (7.9% of total)
ival-add: 40.0ms (4.7% of total)
exact: 15.0ms (1.8% of total)
adjust: 3.0ms (0.4% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain248.0ms (5.6%)

Memory
-29.8MiB live, 307.3MiB allocated; 30ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
410-0-(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))))
350-0-(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
00-0-(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
00-0-K
00-0-(/.f64 K #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
0120(-9.813376703841151e-204 6.508153424400848e+306 -1.4681473358483492e-297)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)))sensitivity1200
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-rescue410
(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))))overflow35
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))overflow35
(+.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)))overflow76
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))overflow76
*.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*o350
Confusion
Predicted +Predicted -
+760
-8496
Precision
0.475
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7600
-84096
Precision?
0.475
Recall?
1.0
Freqs
test
numberfreq
096
1124
236
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
100.0ms512×0valid
Compiler

Compiled 248 to 55 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 44.0ms (57.4% of total)
ival-cos: 11.0ms (14.4% of total)
ival-div: 9.0ms (11.7% of total)
ival-pow2: 5.0ms (6.5% of total)
ival-sqrt: 3.0ms (3.9% of total)
ival-add: 2.0ms (2.6% of total)
exact: 1.0ms (1.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess173.0ms (3.9%)

Memory
35.1MiB live, 127.3MiB allocated; 7ms 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 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))
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
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.8%
(*.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)

series77.0ms (1.8%)

Memory
-3.0MiB live, 89.0MiB allocated; 14ms 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
28.0ms
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))
13.0ms
K
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J))
7.0ms
K
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J))
6.0ms
J
@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))
5.0ms
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))

rewrite187.0ms (4.3%)

Memory
-0.8MiB live, 233.8MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05254670
05434353
130744183
086064183
Stop Event
iter limit
node limit
iter limit
Counts
105 → 158
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
(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 (log.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 (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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(*.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (log.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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(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
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U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))
(*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
(+.f64 J J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
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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) (*.f64 #s(literal 2 binary64) J))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (+.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 (*.f64 J (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))) #s(literal 1/1024 binary64))) (pow.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))) (*.f64 K K)) (+.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))))))) (*.f64 K K)) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))))))
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#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (-.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64))))
#s(approx (* (* -2 J) (cos (/ K 2))) (+.f64 (*.f64 (-.f64 (*.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))) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) J) (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) 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)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (+.f64 (*.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)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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)
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#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 J J))) (pow.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K K) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))) #s(literal 1/1024 binary64))) (pow.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))) (*.f64 K K)) (sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64)))))
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#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.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 #s(literal -1/64 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U)) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 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))) (+.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64))) (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -4 binary64)) #s(literal 1/128 binary64))) (*.f64 U U)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))) (*.f64 U U)) #s(literal 1 binary64)))
#s(approx U U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 J J) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (-.f64 (*.f64 (*.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 #s(literal -2 binary64) (/.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 1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (+.f64 (*.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)) (-.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)) (*.f64 #s(literal -2 binary64) (/.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 1 binary64)) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (+.f64 (*.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 (+.f64 (neg.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)))) (+.f64 (*.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 (+.f64 (+.f64 (neg.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)))) (*.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))) (+.f64 (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))) U))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (*.f64 (pow.f64 (/.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) (-.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)) (*.f64 #s(literal -2 binary64) (/.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 1 binary64))))
#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 (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)) (-.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)) (*.f64 #s(literal -2 binary64) (/.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 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) (+.f64 (*.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) (+.f64 (neg.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)))) (+.f64 (*.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) (+.f64 (+.f64 (neg.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)))) (*.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))) (+.f64 (*.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))))))

eval60.0ms (1.4%)

Memory
-13.2MiB live, 32.2MiB allocated; 4ms collecting garbage
Compiler

Compiled 7 671 to 1 009 computations (86.8% saved)

prune11.0ms (0.3%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1746180
Fresh000
Picked101
Done000
Total1756181
Accuracy
99.9%
Counts
181 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.6%
(*.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 #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
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) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))))
32.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64)))))
57.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
34.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
13.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 376 to 262 computations (30.3% saved)

series69.0ms (1.6%)

Memory
-17.9MiB live, 80.4MiB allocated; 12ms collecting garbage
Counts
37 → 176
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) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.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)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (*.f64 (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 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U)
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(*.f64 #s(literal 2 binary64) J)
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.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))))
#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))
(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 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
(sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(*.f64 #s(literal 1/4 binary64) (*.f64 U U))
#s(literal 1/4 binary64)
(*.f64 U U)
(*.f64 J J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (pow J 2)) (pow J 2))))
#s(approx (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (* (/ U (* 2 J)) U) #s(hole binary64 (* 1/2 (/ (pow U 2) J))))
#s(approx (/ U (* 2 J)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (* 2 J) #s(hole binary64 (* 2 J)))
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 2 (* J (pow (cos (* 1/2 K)) 2)))))
#s(approx (* (* 2 J) (cos (/ K 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 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* -1 U)))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (* J -2) #s(hole binary64 (* -2 J)))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
#s(approx (+ (/ (* 1/4 (* U U)) (* J J)) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (+ (/ (* 1/4 (* U U)) (* J J)) 1) #s(hole binary64 (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))))
#s(approx (/ (* 1/4 (* U U)) (* J J)) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (* J J) #s(hole binary64 (pow J 2)))
#s(approx (* (* J -2) (cos (* 1/2 K))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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)))))))))
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#s(approx (cos (* 1/2 K)) #s(hole binary64 1))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* -1/8 (pow K 2)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))))
#s(approx (* 1/2 K) #s(hole binary64 (* 1/2 K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))))
#s(approx (cos (* 1/2 K)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))))
#s(approx U #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (neg U) #s(hole binary64 (* -1 U)))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (* 1/4 (* U U)) #s(hole binary64 (* 1/4 (pow U 2))))
#s(approx (* U U) #s(hole binary64 (pow U 2)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (+ (/ (* 1/4 (* U U)) (* J J)) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 U))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 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 (+ (/ (* 1/4 (* U U)) (* J J)) 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 (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
Calls

9 calls:

TimeVariablePointExpression
15.0ms
J
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (* (/ U (* 2 J)) U) (/ U (* 2 J)) U (* 2 J) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (+ (/ (* 1/4 (* U U)) (* J J)) 1) (/ (* 1/4 (* U U)) (* J J)) (* 1/4 (* U U)) 1/4 (* U U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2)
9.0ms
U
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (* (/ U (* 2 J)) U) (/ U (* 2 J)) U (* 2 J) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (+ (/ (* 1/4 (* U U)) (* J J)) 1) (/ (* 1/4 (* U U)) (* J J)) (* 1/4 (* U U)) 1/4 (* U U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2)
9.0ms
K
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (* (/ U (* 2 J)) U) (/ U (* 2 J)) U (* 2 J) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (+ (/ (* 1/4 (* U U)) (* J J)) 1) (/ (* 1/4 (* U U)) (* J J)) (* 1/4 (* U U)) 1/4 (* U U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2)
7.0ms
J
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (* (/ U (* 2 J)) U) (/ U (* 2 J)) U (* 2 J) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (+ (/ (* 1/4 (* U U)) (* J J)) 1) (/ (* 1/4 (* U U)) (* J J)) (* 1/4 (* U U)) 1/4 (* U U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2)
5.0ms
J
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (* (/ U (* 2 J)) U) (/ U (* 2 J)) U (* 2 J) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (+ (/ (* 1/4 (* U U)) (* J J)) 1) (/ (* 1/4 (* U U)) (* J J)) (* 1/4 (* U U)) 1/4 (* U U) (* J J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (* 1/2 K) 1/2)

rewrite201.0ms (4.6%)

Memory
3.5MiB live, 233.1MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07849228
08248178
143107902
082547902
Stop Event
iter limit
node limit
iter limit
Counts
213 → 327
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) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.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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#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 (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 U))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 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 (+ (/ (* 1/4 (* U U)) (* J J)) 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 (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
Outputs
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(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 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)))))))
(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 (log.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 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (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 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (neg.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (neg.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (fabs.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (fabs.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (exp.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (exp.f64 (log.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)) (/.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U)) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U)
(*.f64 U (/.f64 U (*.f64 #s(literal 2 binary64) J)))
(/.f64 (*.f64 U U) (*.f64 #s(literal 2 binary64) J))
(/.f64 (/.f64 U #s(literal 2 binary64)) J)
(/.f64 (neg.f64 U) (neg.f64 (*.f64 #s(literal 2 binary64) J)))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
(+.f64 J J)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))
(*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
#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))
(*.f64 #s(literal -1 binary64) U)
(*.f64 U #s(literal -1 binary64))
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) J) #s(literal -2 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))
(*.f64 J (*.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) J))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 J #s(literal 6 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)))))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 J #s(literal 6 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 1 binary64))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 J #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J))))))
(/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 J #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))) (neg.f64 (*.f64 J J)))
(/.f64 (+.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (*.f64 J J))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))
(+.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)))
(*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J))
(*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)))
(/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) J) J)
(/.f64 (neg.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (neg.f64 (*.f64 J J)))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
(*.f64 (*.f64 #s(literal 1/4 binary64) U) U)
(*.f64 (*.f64 U U) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 U U))
#s(literal 1/4 binary64)
(*.f64 (neg.f64 (fabs.f64 U)) (neg.f64 (fabs.f64 U)))
(*.f64 (neg.f64 (neg.f64 U)) (neg.f64 (neg.f64 U)))
(*.f64 (fabs.f64 (fabs.f64 U)) (fabs.f64 (fabs.f64 U)))
(*.f64 (exp.f64 (log.f64 U)) (exp.f64 (log.f64 U)))
(*.f64 (fabs.f64 U) (fabs.f64 U))
(*.f64 (neg.f64 U) (neg.f64 U))
(*.f64 U U)
(pow.f64 (exp.f64 (log.f64 U)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 U) #s(literal 2 binary64))
(pow.f64 (*.f64 U U) #s(literal 1 binary64))
(pow.f64 (neg.f64 U) #s(literal 2 binary64))
(pow.f64 U #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 U #s(literal -2 binary64)))
(fabs.f64 (*.f64 U U))
(exp.f64 (*.f64 (log.f64 U) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 U) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 U) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 J)) (neg.f64 (neg.f64 J)))
(*.f64 (neg.f64 (fabs.f64 J)) (neg.f64 (fabs.f64 J)))
(*.f64 (fabs.f64 (fabs.f64 J)) (fabs.f64 (fabs.f64 J)))
(*.f64 (exp.f64 (log.f64 J)) (exp.f64 (log.f64 J)))
(*.f64 (neg.f64 J) (neg.f64 J))
(*.f64 (fabs.f64 J) (fabs.f64 J))
(*.f64 J J)
(pow.f64 (exp.f64 (log.f64 J)) #s(literal 2 binary64))
(pow.f64 (neg.f64 J) #s(literal 2 binary64))
(pow.f64 (fabs.f64 J) #s(literal 2 binary64))
(pow.f64 (*.f64 J J) #s(literal 1 binary64))
(pow.f64 J #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 J #s(literal -2 binary64)))
(fabs.f64 (*.f64 J J))
(exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))) J)))
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#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (neg.f64 (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64))))
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#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (-.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64))))
#s(approx (* (* -2 J) (cos (/ K 2))) (+.f64 (*.f64 (-.f64 (*.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))) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) J) (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) 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)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (+.f64 (*.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)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))
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#s(approx (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)))
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#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K K) J)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) J) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K)) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 K K) J)) (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K)) (*.f64 #s(literal -1/2 binary64) J)) (*.f64 K K)) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))
#s(approx (* (* 2 J) (cos (/ K 2))) (-.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* 2 J) (cos (/ K 2))) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) J) (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K)) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J)) (*.f64 #s(literal -1/192 binary64) J)) (*.f64 K K)) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K)) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) J) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) (*.f64 K K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (+.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) (*.f64 (*.f64 J (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1/1024 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))) (*.f64 K K)) (+.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))))) (*.f64 K K)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (+.f64 (+.f64 (*.f64 (*.f64 J (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1/1024 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64)))) #s(literal -1/16 binary64)) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/12288 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 U U)) (*.f64 J J)) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64))) #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1/1024 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))))) #s(literal 1/32 binary64))) J) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64)))))) (*.f64 K K)) (+.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) (*.f64 (*.f64 J (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1/1024 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))))) (*.f64 K K)) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) #s(literal -2 binary64))) (*.f64 K K)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* J -2) (cos (* 1/2 K))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* J -2) (cos (* 1/2 K))) (-.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64))))
#s(approx (* (* J -2) (cos (* 1/2 K))) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J)) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (cos (* 1/2 K))) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) J) (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K)) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
#s(approx (cos (* 1/2 K)) #s(literal 1 binary64))
#s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))
#s(approx (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))) #s(literal 1 binary64)))))
#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 (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.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 #s(literal -1/64 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+.f64 (*.f64 (+.f64 (*.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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64))) (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -4 binary64)) #s(literal 1/128 binary64))) (*.f64 U U)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))) (*.f64 U U)) #s(literal 1 binary64)))
#s(approx U U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.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 #s(literal -1/64 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (neg U) (neg.f64 U))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (-.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) J))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 J #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (+.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 U U)) (pow.f64 J #s(literal 5 binary64))) (*.f64 #s(literal -1/64 binary64) (pow.f64 J #s(literal -3 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U)) (*.f64 J #s(literal -2 binary64))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 U U)) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 J #s(literal -2 binary64)))) (*.f64 U U)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (+.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (*.f64 U U)) (pow.f64 J #s(literal 6 binary64))) (*.f64 (pow.f64 J #s(literal -4 binary64)) #s(literal 1/128 binary64))) (*.f64 U U)) (*.f64 #s(literal -1/8 binary64) (pow.f64 J #s(literal -2 binary64)))) (*.f64 U U)) #s(literal 1 binary64)))
#s(approx (* 1/4 (* U U)) (*.f64 (*.f64 U U) #s(literal 1/4 binary64)))
#s(approx (* U U) (*.f64 U U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.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 1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (+.f64 (*.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)) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.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 1 binary64)) U))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (*.f64 (+.f64 (*.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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (*.f64 (+.f64 (neg.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)))) (+.f64 (*.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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (*.f64 (+.f64 (+.f64 (*.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)) (+.f64 (*.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)))) (neg.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))))) U))
#s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U)) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.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 1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (+.f64 (*.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)) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.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 1 binary64)) U))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U))) #s(literal 1 binary64)) U))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)))) #s(literal 1 binary64)) U))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) U))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 J (*.f64 U U))) (neg.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) U))
#s(approx (+ (/ (* 1/4 (* U U)) (* J J)) 1) (+.f64 (*.f64 (*.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U)) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.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 1 binary64))))
#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 (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)) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.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 1 binary64))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (*.f64 (neg.f64 U) (+.f64 (*.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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (*.f64 (neg.f64 U) (+.f64 (neg.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)))) (+.f64 (*.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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (*.f64 (neg.f64 U) (+.f64 (+.f64 (*.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)) (+.f64 (*.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)))) (neg.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(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.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 1 binary64))))
#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 (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)) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.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 1 binary64))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) U)
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U))) #s(literal 1 binary64))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 (neg.f64 U) (+.f64 (neg.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 (neg.f64 U) (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 J (*.f64 U U))) (neg.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))))))

eval47.0ms (1.1%)

Memory
34.4MiB live, 79.3MiB allocated; 4ms collecting garbage
Compiler

Compiled 16 879 to 1 790 computations (89.4% saved)

prune26.0ms (0.6%)

Memory
-11.4MiB live, 43.1MiB allocated; 8ms collecting garbage
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New3528360
Fresh101
Picked235
Done000
Total35511366
Accuracy
99.9%
Counts
366 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))))
57.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
9.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
31.8%
#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 (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
31.8%
#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 (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
31.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64)))))
34.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
12.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)))))
33.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64))))
31.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* 1/2 K))) (+.f64 (*.f64 (-.f64 (*.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)))))
13.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 844 to 575 computations (31.9% saved)

series48.0ms (1.1%)

Memory
-17.2MiB live, 75.7MiB allocated; 4ms collecting garbage
Counts
47 → 207
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) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))))
(*.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) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J)))
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U)
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(*.f64 #s(literal 2 binary64) J)
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.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 (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64)))
(*.f64 J #s(literal -2 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(*.f64 #s(literal -1/2 binary64) (/.f64 U J))
#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)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64))))
#s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64))
(*.f64 (-.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)
(*.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 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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 (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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)))
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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))
(*.f64 (-.f64 (*.f64 (+.f64 (*.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))
(-.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64))
(*.f64 (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64)) (*.f64 K K))
(+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64))
(*.f64 #s(literal -1/46080 binary64) (*.f64 K K))
#s(literal -1/46080 binary64)
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (pow J 2)) (pow J 2))))
#s(approx (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (* (/ U (* 2 J)) U) #s(hole binary64 (* 1/2 (/ (pow U 2) J))))
#s(approx (/ U (* 2 J)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (* 2 J) #s(hole binary64 (* 2 J)))
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 2 (* J (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 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* -1 U)))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (* J -2) #s(hole binary64 (* -2 J)))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
#s(approx (* -1/2 (/ U J)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (/ U J) #s(hole binary64 (/ U J)))
#s(approx (* (* J -2) (cos (* 1/2 K))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 1))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) #s(hole binary64 1))
#s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) #s(hole binary64 (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* -2 J)))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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)))))))))))))))
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#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 U))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 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 (+ (/ (* 1/4 (* U U)) (* J J)) 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 (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
K
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (* (/ U (* 2 J)) U) (/ U (* 2 J)) U (* 2 J) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (* -1/2 (/ U J)) -1/2 (/ U J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (* (- (* 1/384 (* K K)) 1/8) (* K K)) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 (* K K) 1/8 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) (+ (* -1/46080 (* K K)) 1/384) (* -1/46080 (* K K)) -1/46080)
5.0ms
J
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (* (/ U (* 2 J)) U) (/ U (* 2 J)) U (* 2 J) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (* -1/2 (/ U J)) -1/2 (/ U J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (* (- (* 1/384 (* K K)) 1/8) (* K K)) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 (* K K) 1/8 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) (+ (* -1/46080 (* K K)) 1/384) (* -1/46080 (* K K)) -1/46080)
5.0ms
U
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (* (/ U (* 2 J)) U) (/ U (* 2 J)) U (* 2 J) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (* -1/2 (/ U J)) -1/2 (/ U J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (* (- (* 1/384 (* K K)) 1/8) (* K K)) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 (* K K) 1/8 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) (+ (* -1/46080 (* K K)) 1/384) (* -1/46080 (* K K)) -1/46080)
5.0ms
K
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (* (/ U (* 2 J)) U) (/ U (* 2 J)) U (* 2 J) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (* -1/2 (/ U J)) -1/2 (/ U J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (* (- (* 1/384 (* K K)) 1/8) (* K K)) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 (* K K) 1/8 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) (+ (* -1/46080 (* K K)) 1/384) (* -1/46080 (* K K)) -1/46080)
4.0ms
J
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (* (/ U (* 2 J)) U) (/ U (* 2 J)) U (* 2 J) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (* J -2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (* -1/2 (/ U J)) -1/2 (/ U J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (* (- (* 1/384 (* K K)) 1/8) (* K K)) (- (* 1/384 (* K K)) 1/8) (* 1/384 (* K K)) 1/384 (* K K) 1/8 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) (+ (* -1/46080 (* K K)) 1/384) (* -1/46080 (* K K)) -1/46080)

rewrite222.0ms (5%)

Memory
-0.6MiB live, 208.0MiB allocated; 82ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084110272
08879231
145048967
081218967
Stop Event
iter limit
node limit
iter limit
Counts
254 → 338
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) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))))
(*.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) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J)))
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U)
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(*.f64 #s(literal 2 binary64) J)
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.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 (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64)))
(*.f64 J #s(literal -2 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(*.f64 #s(literal -1/2 binary64) (/.f64 U J))
#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)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64))))
#s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64))
(*.f64 (-.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)
(*.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 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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 (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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)))
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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))
(*.f64 (-.f64 (*.f64 (+.f64 (*.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))
(-.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64))
(*.f64 (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64)) (*.f64 K K))
(+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64))
(*.f64 #s(literal -1/46080 binary64) (*.f64 K K))
#s(literal -1/46080 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) #s(hole binary64 (* -1 U)))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 U))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 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 (+ (/ (* 1/4 (* U U)) (* J J)) 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 (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
Outputs
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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
(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 K) #s(literal -2 binary64))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (+.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))))))
(sqrt.f64 (+.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J)))))))
(+.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))
#s(literal 1 binary64)
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (/.f64 U #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))
(/.f64 (neg.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U)) (neg.f64 #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J)))
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U)
(*.f64 U (/.f64 U (*.f64 #s(literal 2 binary64) J)))
(/.f64 (*.f64 U U) (*.f64 #s(literal 2 binary64) J))
(/.f64 (/.f64 U #s(literal 2 binary64)) J)
(/.f64 (neg.f64 U) (neg.f64 (*.f64 #s(literal 2 binary64) J)))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
(+.f64 J J)
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.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 (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64)))
(*.f64 J #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)))) (*.f64 #s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 #s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64))))
(*.f64 J (*.f64 #s(literal -2 binary64) #s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))
(*.f64 (/.f64 U J) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 U J))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) J)
#s(literal -1/2 binary64)
(/.f64 (neg.f64 U) (neg.f64 J))
(/.f64 U J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64))))
(*.f64 J (*.f64 #s(literal -2 binary64) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))))
#s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 K #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 K #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 K K)) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K)
(*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K))
(*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (+.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 K #s(literal 6 binary64)) #s(literal 1/56623104 binary64)) #s(literal 1/512 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)))))
(-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64))
(*.f64 (*.f64 #s(literal 1/384 binary64) K) K)
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
(*.f64 #s(literal 1/384 binary64) (*.f64 K K))
#s(literal 1/384 binary64)
(*.f64 (fabs.f64 (fabs.f64 K)) (fabs.f64 (fabs.f64 K)))
(*.f64 (exp.f64 (log.f64 K)) (exp.f64 (log.f64 K)))
(*.f64 (neg.f64 K) (neg.f64 K))
(*.f64 (fabs.f64 K) (fabs.f64 K))
(*.f64 K K)
(pow.f64 (exp.f64 (log.f64 K)) #s(literal 2 binary64))
(pow.f64 (neg.f64 K) #s(literal 2 binary64))
(pow.f64 (fabs.f64 K) #s(literal 2 binary64))
(pow.f64 (*.f64 K K) #s(literal 1 binary64))
(pow.f64 K #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 K #s(literal -2 binary64)))
(fabs.f64 (*.f64 K K))
(exp.f64 (*.f64 (log.f64 K) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 K) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 K) #s(literal 2 binary64))))
#s(literal 1/8 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64))))
(*.f64 J (*.f64 #s(literal -2 binary64) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
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(*.f64 #s(literal -1/46080 binary64) (*.f64 K K))
#s(literal -1/46080 binary64)
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#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 2 binary64)) J))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64)))) #s(literal 2 binary64)) J))
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#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64)))) (+.f64 (*.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) #s(literal 1/1024 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 U U)) (*.f64 J J)))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))) (*.f64 #s(literal -1/64 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))) (*.f64 #s(literal -1/64 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) J)))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) J)))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (neg.f64 (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J))) J)))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (neg.f64 (*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) J) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) (*.f64 K K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (+.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) (*.f64 (*.f64 J (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1/1024 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))) (*.f64 K K)) (+.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))))) (*.f64 K K)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))))
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#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (-.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) J))))
#s(approx (* (* -2 J) (cos (/ K 2))) (+.f64 (*.f64 (-.f64 (*.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))) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) J) (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) 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)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))
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#s(approx (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (-.f64 (*.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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (+.f64 (*.f64 (-.f64 (*.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) J) (/.f64 (*.f64 U U) J))))
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#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (-.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/2 binary64)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) J) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K)) (*.f64 #s(literal 2 binary64) J)))
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#s(approx (* (* J -2) (cos (* 1/2 K))) (*.f64 J #s(literal -2 binary64)))
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#s(approx (cos (* 1/2 K)) #s(literal 1 binary64))
#s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))
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#s(approx (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64)))
#s(approx (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))
#s(approx (* (- (* 1/384 (* K K)) 1/8) (* K K)) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
#s(approx (* (- (* 1/384 (* K K)) 1/8) (* K K)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K))
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#s(approx (* 1/384 (* K K)) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))
#s(approx (* K K) (*.f64 K K))
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#s(approx (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64)))
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#s(approx (+ (* -1/46080 (* K K)) 1/384) (+.f64 (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)))
#s(approx (* -1/46080 (* K K)) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (cos (* 1/2 K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (*.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/384 binary64)))
#s(approx (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (*.f64 (-.f64 #s(literal 1/384 binary64) (*.f64 (pow.f64 K #s(literal -2 binary64)) #s(literal 1/8 binary64))) (pow.f64 K #s(literal 4 binary64))))
#s(approx (+ (* (- (* 1/384 (* K K)) 1/8) (* K K)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 K #s(literal -4 binary64)) #s(literal 1/384 binary64)) (*.f64 (pow.f64 K #s(literal -2 binary64)) #s(literal 1/8 binary64))) (pow.f64 K #s(literal 4 binary64))))
#s(approx (* (- (* 1/384 (* K K)) 1/8) (* K K)) (*.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/384 binary64)))
#s(approx (* (- (* 1/384 (* K K)) 1/8) (* K K)) (*.f64 (-.f64 #s(literal 1/384 binary64) (*.f64 (pow.f64 K #s(literal -2 binary64)) #s(literal 1/8 binary64))) (pow.f64 K #s(literal 4 binary64))))
#s(approx (- (* 1/384 (* K K)) 1/8) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))
#s(approx (- (* 1/384 (* K K)) 1/8) (*.f64 (-.f64 #s(literal 1/384 binary64) (*.f64 (pow.f64 K #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 K K)))
#s(approx (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) (*.f64 (pow.f64 K #s(literal 6 binary64)) #s(literal -1/46080 binary64)))
#s(approx (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) (*.f64 (pow.f64 K #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 K #s(literal -2 binary64)) #s(literal 1/384 binary64)) #s(literal 1/46080 binary64))))
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#s(approx (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) (*.f64 (pow.f64 K #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 K #s(literal -6 binary64)) (*.f64 (pow.f64 K #s(literal -2 binary64)) #s(literal 1/384 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 K #s(literal 4 binary64))) #s(literal 1/46080 binary64)))))
#s(approx (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) (*.f64 (pow.f64 K #s(literal 6 binary64)) #s(literal -1/46080 binary64)))
#s(approx (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) (*.f64 (pow.f64 K #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 K #s(literal -2 binary64)) #s(literal 1/384 binary64)) #s(literal 1/46080 binary64))))
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#s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (*.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal -1/46080 binary64)))
#s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (*.f64 (-.f64 (*.f64 (pow.f64 K #s(literal -2 binary64)) #s(literal 1/384 binary64)) #s(literal 1/46080 binary64)) (pow.f64 K #s(literal 4 binary64))))
#s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 K #s(literal -2 binary64)) #s(literal 1/384 binary64)) #s(literal 1/46080 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 K #s(literal 4 binary64)))) (pow.f64 K #s(literal 4 binary64))))
#s(approx (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) (*.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal -1/46080 binary64)))
#s(approx (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) (*.f64 (-.f64 (*.f64 (pow.f64 K #s(literal -2 binary64)) #s(literal 1/384 binary64)) #s(literal 1/46080 binary64)) (pow.f64 K #s(literal 4 binary64))))
#s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))
#s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (-.f64 (*.f64 (pow.f64 K #s(literal -2 binary64)) #s(literal 1/384 binary64)) #s(literal 1/46080 binary64)) (*.f64 K K)))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
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#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64))) (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -4 binary64)) #s(literal 1/128 binary64))) (*.f64 U U)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)))) (*.f64 U U)) #s(literal 1 binary64)))
#s(approx U U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.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 #s(literal -1/64 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (-.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) J))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 J #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (+.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 U U)) (pow.f64 J #s(literal 5 binary64))) (*.f64 #s(literal -1/64 binary64) (pow.f64 J #s(literal -3 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U)) (*.f64 J #s(literal -2 binary64))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 U U)) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 J #s(literal -2 binary64)))) (*.f64 U U)) #s(literal 1 binary64)))
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#s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U)) #s(literal 1 binary64)))
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#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)) U))
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#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 (+.f64 (neg.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) U))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 J (*.f64 U U))) (neg.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (+.f64 (*.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)) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.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 1 binary64))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (*.f64 (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/2 binary64)))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (*.f64 (neg.f64 U) (+.f64 (*.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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (*.f64 (neg.f64 U) (+.f64 (neg.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)))) (+.f64 (*.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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (*.f64 (neg.f64 U) (+.f64 (+.f64 (*.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)) (+.f64 (*.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)))) (neg.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(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.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 1 binary64))))
#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 (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)) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.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 1 binary64))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) U)
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U))) #s(literal 1 binary64))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 (neg.f64 U) (+.f64 (neg.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
#s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 (neg.f64 U) (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 J (*.f64 U U))) (neg.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))))))

eval58.0ms (1.3%)

Memory
-14.6MiB live, 83.0MiB allocated; 13ms collecting garbage
Compiler

Compiled 22 975 to 2 214 computations (90.4% saved)

prune18.0ms (0.4%)

Memory
-10.7MiB live, 36.1MiB allocated; 3ms collecting garbage
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New4133416
Fresh213
Picked235
Done033
Total41710427
Accuracy
99.9%
Counts
427 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.5%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))))
57.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
9.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
31.8%
#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 (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
31.8%
#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 (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))))
31.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
34.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
12.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)))))
33.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64))))
13.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 430 to 294 computations (31.6% saved)

series49.0ms (1.1%)

Memory
17.9MiB live, 63.6MiB allocated; 4ms collecting garbage
Counts
43 → 194
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64))))
(*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)))
(neg.f64 U)
U
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
#s(literal -2 binary64)
(*.f64 J 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)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
#s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64))
(*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K))
#s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(*.f64 K K)
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)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64))))
#s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K)
(*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K)
(-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
#s(literal 1/384 binary64)
#s(literal 1/8 binary64)
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J)))
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U)
(/.f64 U (*.f64 #s(literal 2 binary64) J))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.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 (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* -1 U)))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) #s(hole binary64 U))
#s(approx (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) #s(hole binary64 (+ U (* 2 (/ (pow J 2) U)))))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) #s(hole binary64 -1))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) #s(hole binary64 (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
#s(approx (/ (* -2 (* J J)) (* U U)) #s(hole binary64 (* -2 (/ (pow J 2) (pow U 2)))))
#s(approx (* -2 (* J J)) #s(hole binary64 (* -2 (pow J 2))))
#s(approx (* J J) #s(hole binary64 (pow J 2)))
#s(approx J #s(hole binary64 J))
#s(approx (* (* J -2) (cos (* 1/2 K))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* J -2) #s(hole binary64 (* -2 J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) #s(hole binary64 (* -1 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (* 1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (pow J 2)) (pow J 2))))
#s(approx (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (* (/ U (* 2 J)) U) #s(hole binary64 (* 1/2 (/ (pow U 2) J))))
#s(approx (/ U (* 2 J)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (* 2 J) #s(hole binary64 (* 2 J)))
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 2 (* J (pow (cos (* 1/2 K)) 2)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))))
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#s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 2 J)))
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* -1/2 (* J (pow K 2))) (* 2 J))))
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))))
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 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 (* 1/2 K)) #s(hole binary64 (cos (* 1/2 K))))
#s(approx (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) #s(hole binary64 (* -1/46080 (pow K 6))))
#s(approx (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) #s(hole binary64 (* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))))
#s(approx (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) #s(hole binary64 (* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))))
#s(approx (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) #s(hole binary64 (* (pow K 6) (- (+ (* 1/384 (/ 1 (pow K 2))) (/ 1 (pow K 6))) (+ 1/46080 (/ 1/8 (pow K 4)))))))
#s(approx (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) #s(hole binary64 (* -1/46080 (pow K 6))))
#s(approx (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) #s(hole binary64 (* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))))
#s(approx (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) #s(hole binary64 (* (pow K 6) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))))
#s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(hole binary64 (* -1/46080 (pow K 4))))
#s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(hole binary64 (* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))))
#s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(hole binary64 (* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) (+ 1/46080 (/ 1/8 (pow K 4)))))))
#s(approx (+ (* (* (- (* (* K K) 1/384) 1/8) K) K) 1) #s(hole binary64 (* 1/384 (pow K 4))))
#s(approx (+ (* (* (- (* (* K K) 1/384) 1/8) K) K) 1) #s(hole binary64 (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))))
#s(approx (+ (* (* (- (* (* K K) 1/384) 1/8) K) K) 1) #s(hole binary64 (* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))))
#s(approx (* (* (- (* (* K K) 1/384) 1/8) K) K) #s(hole binary64 (* 1/384 (pow K 4))))
#s(approx (* (* (- (* (* K K) 1/384) 1/8) K) K) #s(hole binary64 (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))))
#s(approx (* (- (* (* K K) 1/384) 1/8) K) #s(hole binary64 (* 1/384 (pow K 3))))
#s(approx (* (- (* (* K K) 1/384) 1/8) K) #s(hole binary64 (* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))))
#s(approx (- (* (* K K) 1/384) 1/8) #s(hole binary64 (* 1/384 (pow K 2))))
#s(approx (- (* (* K K) 1/384) 1/8) #s(hole binary64 (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (* (- (* (* K K) 1/384) 1/8) K) #s(hole binary64 (* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) #s(hole binary64 (/ (+ (* 2 (pow J 2)) (pow U 2)) U)))
#s(approx (neg U) #s(hole binary64 (* -1 U)))
#s(approx U #s(hole binary64 U))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) (pow U 2))))
#s(approx (* U U) #s(hole binary64 (pow U 2)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) #s(hole binary64 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 U))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 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 (+ (/ (* 1/4 (* U U)) (* J J)) 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 (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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
6.0ms
J
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) (neg U) U (- (/ (* -2 (* J J)) (* U U)) 1) (/ (* -2 (* J J)) (* U U)) (* -2 (* J J)) -2 (* J J) J (* U U) 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (* J -2) (cos (* 1/2 K)) (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) -1/8 (* K K) K (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (+ (* (* (- (* (* K K) 1/384) 1/8) K) K) 1) (* (* (- (* (* K K) 1/384) 1/8) K) K) (* (- (* (* K K) 1/384) 1/8) K) (- (* (* K K) 1/384) 1/8) (* (* K K) 1/384) 1/384 1/8 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (* (/ U (* 2 J)) U) (/ U (* 2 J)) (* 2 J) 2 (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))
5.0ms
J
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) (neg U) U (- (/ (* -2 (* J J)) (* U U)) 1) (/ (* -2 (* J J)) (* U U)) (* -2 (* J J)) -2 (* J J) J (* U U) 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (* J -2) (cos (* 1/2 K)) (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) -1/8 (* K K) K (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (+ (* (* (- (* (* K K) 1/384) 1/8) K) K) 1) (* (* (- (* (* K K) 1/384) 1/8) K) K) (* (- (* (* K K) 1/384) 1/8) K) (- (* (* K K) 1/384) 1/8) (* (* K K) 1/384) 1/384 1/8 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (* (/ U (* 2 J)) U) (/ U (* 2 J)) (* 2 J) 2 (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))
5.0ms
J
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) (neg U) U (- (/ (* -2 (* J J)) (* U U)) 1) (/ (* -2 (* J J)) (* U U)) (* -2 (* J J)) -2 (* J J) J (* U U) 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (* J -2) (cos (* 1/2 K)) (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) -1/8 (* K K) K (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (+ (* (* (- (* (* K K) 1/384) 1/8) K) K) 1) (* (* (- (* (* K K) 1/384) 1/8) K) K) (* (- (* (* K K) 1/384) 1/8) K) (- (* (* K K) 1/384) 1/8) (* (* K K) 1/384) 1/384 1/8 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (* (/ U (* 2 J)) U) (/ U (* 2 J)) (* 2 J) 2 (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))
4.0ms
K
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) (neg U) U (- (/ (* -2 (* J J)) (* U U)) 1) (/ (* -2 (* J J)) (* U U)) (* -2 (* J J)) -2 (* J J) J (* U U) 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (* J -2) (cos (* 1/2 K)) (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) -1/8 (* K K) K (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (+ (* (* (- (* (* K K) 1/384) 1/8) K) K) 1) (* (* (- (* (* K K) 1/384) 1/8) K) K) (* (- (* (* K K) 1/384) 1/8) K) (- (* (* K K) 1/384) 1/8) (* (* K K) 1/384) 1/384 1/8 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (* (/ U (* 2 J)) U) (/ U (* 2 J)) (* 2 J) 2 (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))
4.0ms
K
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) (neg U) U (- (/ (* -2 (* J J)) (* U U)) 1) (/ (* -2 (* J J)) (* U U)) (* -2 (* J J)) -2 (* J J) J (* U U) 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (* J -2) (cos (* 1/2 K)) (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) -1/8 (* K K) K (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (cos (* 1/2 K))) (cos (* 1/2 K)) (+ (* (* (- (* (* K K) 1/384) 1/8) K) K) 1) (* (* (- (* (* K K) 1/384) 1/8) K) K) (* (- (* (* K K) 1/384) 1/8) K) (- (* (* K K) 1/384) 1/8) (* (* K K) 1/384) 1/384 1/8 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (* (/ U (* 2 J)) U) (/ U (* 2 J)) (* 2 J) 2 (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))

rewrite196.0ms (4.4%)

Memory
18.1MiB live, 155.5MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08009861
08398837
142538574
080658574
Stop Event
iter limit
node limit
iter limit
Counts
237 → 338
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64))))
(*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)))
(neg.f64 U)
U
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
#s(literal -2 binary64)
(*.f64 J 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)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
#s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64))
(*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K))
#s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(*.f64 K K)
K
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#s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K)
(*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K)
(-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64))
(*.f64 (*.f64 K K) #s(literal 1/384 binary64))
#s(literal 1/384 binary64)
#s(literal 1/8 binary64)
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J)))
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U)
(/.f64 U (*.f64 #s(literal 2 binary64) J))
(*.f64 #s(literal 2 binary64) 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)))) #s(hole binary64 (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))))
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#s(approx (* J J) #s(hole binary64 (pow J 2)))
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#s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) #s(hole binary64 (/ (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (pow J 2)) (pow J 2))))
#s(approx (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) #s(hole binary64 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
#s(approx (* (/ U (* 2 J)) U) #s(hole binary64 (* 1/2 (/ (pow U 2) J))))
#s(approx (/ U (* 2 J)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (* 2 J) #s(hole binary64 (* 2 J)))
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) #s(hole binary64 (* 2 (* J (pow (cos (* 1/2 K)) 2)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* -2 J)))
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#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))))
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#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) #s(hole binary64 (* -2 (/ (pow J 2) (pow U 2)))))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) #s(hole binary64 (* -1 (* (pow J 2) (+ (* 2 (/ 1 (pow U 2))) (/ 1 (pow J 2)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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))))))))))
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#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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))))))))
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#s(approx (+ (* (* (- (* (* K K) 1/384) 1/8) K) K) 1) #s(hole binary64 (* (pow K 4) (- (+ 1/384 (/ 1 (pow K 4))) (* 1/8 (/ 1 (pow K 2)))))))
#s(approx (* (* (- (* (* K K) 1/384) 1/8) K) K) #s(hole binary64 (* 1/384 (pow K 4))))
#s(approx (* (* (- (* (* K K) 1/384) 1/8) K) K) #s(hole binary64 (* (pow K 4) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))))
#s(approx (* (- (* (* K K) 1/384) 1/8) K) #s(hole binary64 (* 1/384 (pow K 3))))
#s(approx (* (- (* (* K K) 1/384) 1/8) K) #s(hole binary64 (* (pow K 3) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))))
#s(approx (- (* (* K K) 1/384) 1/8) #s(hole binary64 (* 1/384 (pow K 2))))
#s(approx (- (* (* K K) 1/384) 1/8) #s(hole binary64 (* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
#s(approx (* (- (* (* K K) 1/384) 1/8) K) #s(hole binary64 (* -1 (* (pow K 3) (- (* 1/8 (/ 1 (pow K 2))) 1/384)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) #s(hole binary64 (/ (+ (* 2 (pow J 2)) (pow U 2)) U)))
#s(approx (neg U) #s(hole binary64 (* -1 U)))
#s(approx U #s(hole binary64 U))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) (pow U 2))))
#s(approx (* U U) #s(hole binary64 (pow U 2)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) #s(hole binary64 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 U))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 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 (+ (/ (* 1/4 (* U U)) (* J J)) 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 (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 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
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64)) (neg.f64 U))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64)) (neg.f64 U)))
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64)) U) #s(literal -1 binary64))
(*.f64 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64)) (neg.f64 U))
(*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64)) U))
(neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64)) U))
(*.f64 #s(literal -1 binary64) U)
(*.f64 U #s(literal -1 binary64))
(neg.f64 U)
U
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 J #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (*.f64 J J) U))
(*.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)))
(/.f64 (neg.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64))) (neg.f64 (*.f64 U U)))
(/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U))
(/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U)
(*.f64 (*.f64 J J) #s(literal -2 binary64))
(*.f64 (*.f64 J #s(literal -2 binary64)) J)
(*.f64 #s(literal -2 binary64) (*.f64 J J))
#s(literal -2 binary64)
(*.f64 (neg.f64 (neg.f64 J)) (neg.f64 (neg.f64 J)))
(*.f64 (neg.f64 (fabs.f64 J)) (neg.f64 (fabs.f64 J)))
(*.f64 (fabs.f64 (fabs.f64 J)) (fabs.f64 (fabs.f64 J)))
(*.f64 (exp.f64 (log.f64 J)) (exp.f64 (log.f64 J)))
(*.f64 (neg.f64 J) (neg.f64 J))
(*.f64 (fabs.f64 J) (fabs.f64 J))
(*.f64 J J)
(pow.f64 (exp.f64 (log.f64 J)) #s(literal 2 binary64))
(pow.f64 (neg.f64 J) #s(literal 2 binary64))
(pow.f64 (fabs.f64 J) #s(literal 2 binary64))
(pow.f64 (*.f64 J J) #s(literal 1 binary64))
(pow.f64 J #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 J #s(literal -2 binary64)))
(fabs.f64 (*.f64 J J))
(exp.f64 (*.f64 (log.f64 J) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 J) #s(literal 2 binary64))))
J
(*.f64 (neg.f64 (fabs.f64 U)) (neg.f64 (fabs.f64 U)))
(*.f64 (neg.f64 (neg.f64 U)) (neg.f64 (neg.f64 U)))
(*.f64 (fabs.f64 (fabs.f64 U)) (fabs.f64 (fabs.f64 U)))
(*.f64 (exp.f64 (log.f64 U)) (exp.f64 (log.f64 U)))
(*.f64 (fabs.f64 U) (fabs.f64 U))
(*.f64 (neg.f64 U) (neg.f64 U))
(*.f64 U U)
(pow.f64 (exp.f64 (log.f64 U)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 U) #s(literal 2 binary64))
(pow.f64 (*.f64 U U) #s(literal 1 binary64))
(pow.f64 (neg.f64 U) #s(literal 2 binary64))
(pow.f64 U #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 U #s(literal -2 binary64)))
(fabs.f64 (*.f64 U U))
(exp.f64 (*.f64 (log.f64 U) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 U) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 U) #s(literal 2 binary64))))
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (*.f64 #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) K) K) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) K) K) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) K) K) #s(literal 1 binary64))))
(*.f64 J (*.f64 #s(literal -2 binary64) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) K) K) #s(literal 1 binary64)))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) K) K) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) K) K) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) K) K) #s(literal 1 binary64)))
(/.f64 (+.f64 (*.f64 (pow.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) #s(literal 3 binary64)) (pow.f64 K #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) K) K) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) K) K) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) K) K) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) K) K))
(*.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) K) K)
(*.f64 (*.f64 K K) #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)))
(*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K))
#s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(*.f64 (neg.f64 (neg.f64 K)) (neg.f64 (neg.f64 K)))
(*.f64 (neg.f64 (fabs.f64 K)) (neg.f64 (fabs.f64 K)))
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K
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#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 2 binary64)) J))
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#s(approx (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 2 binary64)))
#s(approx (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) (*.f64 (+.f64 (/.f64 U (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J)))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))
#s(approx (- (/ (* -2 (* J J)) (* U U)) 1) (neg.f64 (+.f64 (*.f64 (*.f64 (pow.f64 U #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 J J)) #s(literal 1 binary64))))
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#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) #s(literal 1 binary64))
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#s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) #s(literal 1 binary64))
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#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (neg.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) J)))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64))))
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#s(approx (* (* J -2) (cos (* 1/2 K))) (*.f64 J #s(literal -2 binary64)))
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#s(approx (* (* J -2) (cos (* 1/2 K))) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J)) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (cos (* 1/2 K))) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) J) (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K)) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
#s(approx (cos (* 1/2 K)) #s(literal 1 binary64))
#s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))
#s(approx (cos (* 1/2 K)) (+.f64 (*.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(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) #s(literal 1 binary64))
#s(approx (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) (+.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) (+.f64 (*.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(literal 1 binary64)))
#s(approx (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))
#s(approx (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K))
#s(approx (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) (*.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 (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64))
#s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)))
#s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (-.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 K) (*.f64 K K))
#s(approx K K)
#s(approx (+ (* (* (- (* (* K K) 1/384) 1/8) K) K) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (- (* (* K K) 1/384) 1/8) K) K) 1) (+.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (* (- (* (* K K) 1/384) 1/8) K) K) 1) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))
#s(approx (* (* (- (* (* K K) 1/384) 1/8) K) K) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))
#s(approx (* (* (- (* (* K K) 1/384) 1/8) K) K) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K))
#s(approx (* (- (* (* K K) 1/384) 1/8) K) (*.f64 #s(literal -1/8 binary64) K))
#s(approx (* (- (* (* K K) 1/384) 1/8) K) (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K))
#s(approx (- (* (* K K) 1/384) 1/8) #s(literal -1/8 binary64))
#s(approx (- (* (* K K) 1/384) 1/8) (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)))
#s(approx (* (* K K) 1/384) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) J) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) (*.f64 K K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (+.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) (*.f64 (*.f64 J (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1/1024 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))) (*.f64 K K)) (+.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))))) (*.f64 K K)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (+.f64 (+.f64 (*.f64 (*.f64 J (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1/1024 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64)))) #s(literal -1/16 binary64)) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/12288 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 U U)) (*.f64 J J)) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64))) #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 U U) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1/1024 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 J J)))) #s(literal 1/32 binary64))) J) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64)))))) (*.f64 K K)) (+.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) (*.f64 (*.f64 J (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1/1024 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64))))) (*.f64 K K)) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))) #s(literal -2 binary64))) (*.f64 K K)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (-.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) J))))
#s(approx (* (* -2 J) (cos (/ K 2))) (+.f64 (*.f64 (-.f64 (*.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))) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) J) (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K)) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (*.f64 U K) #s(literal 2 binary64)) (*.f64 J J))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 J J))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K K) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1/1024 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64)))))) (*.f64 K K)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1/1024 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))) (*.f64 (*.f64 (-.f64 (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 U U)) (*.f64 J J)) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64))) #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 U U) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J)))) #s(literal 1/1024 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 J J)))) #s(literal 1/32 binary64))) (*.f64 K K)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64))))) (*.f64 K K)) (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) (*.f64 J J))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) #s(literal -1/2 binary64)))) (*.f64 K K)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))))))
#s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))))
#s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) (+.f64 (-.f64 (*.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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 (-.f64 (*.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))))
#s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 U U)) (*.f64 J J)) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64))) (*.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))))
#s(approx (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)))
#s(approx (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (-.f64 (*.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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (+.f64 (*.f64 (-.f64 (*.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) J) (/.f64 (*.f64 U U) J))))
#s(approx (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/1440 binary64) (*.f64 U U)) (*.f64 J J)) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64))) (*.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) J) (/.f64 (*.f64 U U) J))))
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K K) J)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) J) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 K K) J))) (*.f64 K K)) (*.f64 #s(literal 2 binary64) J)))
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#s(approx (cos (* 1/2 K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (+ (* (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) (* K K)) 1) (*.f64 (pow.f64 K #s(literal 6 binary64)) #s(literal -1/46080 binary64)))
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#s(approx (+ (* (* (- (* (* K K) 1/384) 1/8) K) K) 1) (*.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/384 binary64)))
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#s(approx (- (* (* K K) 1/384) 1/8) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))
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#s(approx (neg U) (neg.f64 U))
#s(approx U U)
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#s(approx (* U U) (*.f64 U U))
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#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) U)
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U)) #s(literal 1 binary64))))
#s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64))) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U)) #s(literal 1 binary64)))))
#s(approx (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (*.f64 (neg.f64 U) (-.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.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 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))))))) (*.f64 (neg.f64 U) (-.f64 (+.f64 (*.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)) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.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 1 binary64))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (*.f64 (neg.f64 U) (+.f64 (*.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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (*.f64 (neg.f64 U) (+.f64 (neg.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)))) (+.f64 (*.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 (/ (* (/ U (* 2 J)) U) (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2))))))) (*.f64 (neg.f64 U) (+.f64 (+.f64 (*.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)) (+.f64 (*.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)))) (neg.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)))))))

eval50.0ms (1.1%)

Memory
3.1MiB live, 93.3MiB allocated; 12ms collecting garbage
Compiler

Compiled 21 799 to 1 975 computations (90.9% saved)

prune29.0ms (0.7%)

Memory
0.0MiB live, 53.8MiB allocated; 9ms collecting garbage
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New3692371
Fresh000
Picked134
Done066
Total37011381
Accuracy
99.9%
Counts
381 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.5%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (+.f64 J J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))))
57.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
9.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
31.8%
#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 (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
31.8%
#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 (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))))
31.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
34.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
12.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)))))
33.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64))))
2.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(approx (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 2 binary64)))))
13.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 1 333 to 505 computations (62.1% saved)

regimes39.0ms (0.9%)

Memory
-29.6MiB live, 64.0MiB allocated; 5ms collecting garbage
Counts
20 → 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 (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(approx (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J 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)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* 1/2 K))) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J)) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (+.f64 J J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.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 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
(*.f64 (*.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)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

6 calls:

7.0ms
U
7.0ms
(/.f64 K #s(literal 2 binary64))
6.0ms
J
6.0ms
K
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
71.8%1(/.f64 K #s(literal 2 binary64))
71.8%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)))))
80.6%2J
71.8%1K
78.0%2U
Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes6.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Counts
18 → 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 (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(approx (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J 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)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* 1/2 K))) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J)) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (+.f64 J J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.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 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #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)))))
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:

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
94.7%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Counts
17 → 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 (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(approx (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J 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)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* 1/2 K))) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J)) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (+.f64 J J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.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 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #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) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

1 calls:

5.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
92.1%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(approx (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J 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)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* 1/2 K))) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J)) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (+.f64 J J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.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 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)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

1 calls:

4.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
86.5%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes29.0ms (0.7%)

Memory
4.4MiB live, 51.1MiB allocated; 2ms collecting garbage
Counts
15 → 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 (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(approx (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J 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)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* 1/2 K))) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J)) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (+.f64 J J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #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 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (+.f64 J J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

6 calls:

6.0ms
J
5.0ms
U
4.0ms
(/.f64 K #s(literal 2 binary64))
4.0ms
K
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
57.7%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
48.6%2(/.f64 K #s(literal 2 binary64))
48.6%2K
55.1%2U
54.8%2J
74.3%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 34 to 37 computations (-8.8% saved)

regimes11.0ms (0.3%)

Memory
-40.6MiB live, 9.4MiB allocated; 19ms collecting garbage
Counts
13 → 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 (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) #s(approx (* (neg U) (- (/ (* -2 (* J J)) (* U U)) 1)) (*.f64 (/.f64 (*.f64 J J) U) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 #s(approx (- (* (+ (* -1/46080 (* K K)) 1/384) (* K K)) 1/8) #s(literal -1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (/ (* 1/4 (* U U)) (* J 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)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) (*.f64 U U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) K) K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* 1/2 K))) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J)) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* 1/2 K)) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #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 (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

1 calls:

10.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
67.0%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.2%)

Memory
20.5MiB live, 20.5MiB 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)))) (neg.f64 U))
#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
U
1.0ms
K
1.0ms
J
Results
AccuracySegmentsBranch
37.7%2(/.f64 K #s(literal 2 binary64))
37.7%2K
34.2%1J
34.2%1U
46.5%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
46.5%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 34 to 37 computations (-8.8% saved)

regimes7.0ms (0.2%)

Memory
17.2MiB live, 17.2MiB 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
13.9%1J
13.9%1U
13.9%1(/.f64 K #s(literal 2 binary64))
13.9%1K
13.9%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
13.9%1(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 34 to 37 computations (-8.8% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.458996984024721e+299
+inf
0.0ms
-inf
-3.484486169154816e+307
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
6.458996984024721e+299
+inf
0.0ms
-inf
-3.484486169154816e+307
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
6.458996984024721e+299
+inf
0.0ms
-inf
-3.484486169154816e+307
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
6.458996984024721e+299
+inf
0.0ms
-inf
-3.484486169154816e+307
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
-1.2021097201433e-263
4.2895795812803106e-204
0.0ms
-inf
-3.484486169154816e+307
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
-1.2021097201433e-263
4.2895795812803106e-204
0.0ms
-inf
-3.484486169154816e+307
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
-46.6MiB live, 0.6MiB allocated; 2ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
1.0ms
-1.2021097201433e-263
4.2895795812803106e-204
Compiler

Compiled 27 to 23 computations (14.8% saved)

simplify51.0ms (1.2%)

Memory
35.3MiB live, 81.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089956
1141956
2328956
31173956
44968956
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 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 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 -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 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J)))))) #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 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 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)))
(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 -1418129833677085/141812983367708498267942666831007057202459354558886953263833223277658525196114003519551116418471942004184601191539094262166460537485590525416453416929473364427849849743600833315151825889043592154525680139765876503569388266265666970077237981829515274335102568192877188951851401216 binary64)) (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (+.f64 J J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J)))))) #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 -1418129833677085/141812983367708498267942666831007057202459354558886953263833223277658525196114003519551116418471942004184601191539094262166460537485590525416453416929473364427849849743600833315151825889043592154525680139765876503569388266265666970077237981829515274335102568192877188951851401216 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64)))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)))
(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 -1418129833677085/141812983367708498267942666831007057202459354558886953263833223277658525196114003519551116418471942004184601191539094262166460537485590525416453416929473364427849849743600833315151825889043592154525680139765876503569388266265666970077237981829515274335102568192877188951851401216 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Outputs
(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 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 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 -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 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J)))))) #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 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 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)))
(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 -1418129833677085/141812983367708498267942666831007057202459354558886953263833223277658525196114003519551116418471942004184601191539094262166460537485590525416453416929473364427849849743600833315151825889043592154525680139765876503569388266265666970077237981829515274335102568192877188951851401216 binary64)) (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (+.f64 J J)) U) #s(approx (* (cos (/ K 2)) (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 2 binary64) J)))))) #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 -1418129833677085/141812983367708498267942666831007057202459354558886953263833223277658525196114003519551116418471942004184601191539094262166460537485590525416453416929473364427849849743600833315151825889043592154525680139765876503569388266265666970077237981829515274335102568192877188951851401216 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (/ (* 1/4 (* U U)) (* J J)) 1))) (*.f64 J #s(literal -2 binary64)))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)))
(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 -1418129833677085/141812983367708498267942666831007057202459354558886953263833223277658525196114003519551116418471942004184601191539094262166460537485590525416453416929473364427849849743600833315151825889043592154525680139765876503569388266265666970077237981829515274335102568192877188951851401216 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

derivations217.0ms (4.9%)

Memory
23.1MiB live, 237.7MiB allocated; 61ms collecting garbage
Stop Event
fuel
Compiler

Compiled 956 to 92 computations (90.4% saved)

preprocess163.0ms (3.7%)

Memory
-19.1MiB live, 168.5MiB allocated; 93ms collecting garbage
Remove

(abs K)

Compiler

Compiled 3 270 to 618 computations (81.1% saved)

end0.0ms (0%)

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

Profiling

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