Maksimov and Kolovsky, Equation (3)

Time bar (total: 4.8s)

start0.0ms (0%)

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

analyze252.0ms (5.3%)

Memory
11.6MiB live, 439.2MiB allocated; 36ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
37.5%37.4%62.4%0.1%0%0%0%7
43.8%43.7%56.2%0.1%0%0%0%8
43.8%43.7%56.2%0.1%0%0%0%9
43.8%43.7%56.2%0.1%0%0%0%10
46.9%46.8%53%0.1%0%0%0%11
46.9%46.8%53%0.1%0%0%0%12
Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.5s (31.1%)

Memory
59.2MiB live, 1 951.0MiB allocated; 438ms collecting garbage
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 781.0ms
ival-mult!: 270.0ms (34.6% of total)
ival-cos: 236.0ms (30.2% of total)
ival-pow2: 90.0ms (11.5% of total)
ival-div!: 80.0ms (10.2% of total)
ival-sqrt: 55.0ms (7% of total)
ival-add!: 48.0ms (6.1% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain265.0ms (5.6%)

Memory
-3.2MiB live, 332.5MiB allocated; 31ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
360-0-(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
270-0-(*.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)
0133(8.563520496598542e+292 -2.867901503041013e+92 1.8479323002368595e+60)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)))sensitivity1331
sqrt.f64(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))oflow-rescue360
↳(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))overflow27
↳(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))overflow27
↳(+.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)))overflow63
↳(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))overflow63
*.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*o270
Confusion
Predicted +Predicted -
+630
-10093
Precision
0.38650306748466257
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6300
-100192
Precision?
0.38414634146341464
Recall?
1.0
Freqs
test
numberfreq
093
1130
233
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
117.0ms512×0valid
Compiler

Compiled 248 to 55 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-mult!: 67.0ms (70.7% of total)
ival-cos: 12.0ms (12.7% of total)
ival-div!: 5.0ms (5.3% of total)
ival-pow2: 5.0ms (5.3% of total)
ival-sqrt: 3.0ms (3.2% of total)
ival-add!: 1.0ms (1.1% of total)
adjust: 0.0ms (0% of total)

preprocess44.0ms (0.9%)

Memory
3.0MiB live, 48.7MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075246
1206240
2634240
32468240
47900240
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Symmetry

(abs K)

(abs U)

(negabs J)

Compiler

Compiled 48 to 34 computations (29.2% saved)

series58.0ms (1.2%)

Memory
13.8MiB live, 109.1MiB allocated; 16ms 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
14.0ms
K
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J))
7.0ms
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))
6.0ms
J
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J))
6.0ms
U
@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))
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))

rewrite226.0ms (4.7%)

Memory
10.8MiB live, 291.1MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval26.0ms (0.5%)

Memory
-4.7MiB live, 55.0MiB allocated; 6ms collecting garbage
Compiler

Compiled 7 252 to 959 computations (86.8% saved)

prune11.0ms (0.2%)

Memory
-26.1MiB live, 20.3MiB allocated; 4ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1598167
Fresh000
Picked101
Done000
Total1608168
Accuracy
99.9%
Counts
168 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #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))))
76.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
▶68.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
▶86.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
▶32.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
54.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
35.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
▶14.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 460 to 336 computations (27% saved)

series292.0ms (6.1%)

Memory
25.5MiB live, 446.9MiB allocated; 49ms collecting garbage
Counts
38 → 304
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(*.f64 #s(literal 2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
(*.f64 J J)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))
(pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))
(/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #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))))
(/.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)))
(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 (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))
#s(literal -1/2 binary64)
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) #s(hole binary64 (* -1 (* J (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) #s(hole binary64 (* J (+ (* -1 (* (cos (* 1/2 K)) (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* (pow J 2) (+ (* -1 (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))) (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/720 (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (pow U 2))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))) (pow U 2))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/720 (/ (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (* (pow U 6) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx J #s(hole binary64 J))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(hole binary64 (* 1/2 (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))
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#s(approx (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2) #s(hole binary64 (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
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#s(approx (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#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))))))
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#s(approx (* U U) #s(hole binary64 (pow U 2)))
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Calls

9 calls:

TimeVariablePointExpression
63.0ms
K
@inf
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48.0ms
U
@inf
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ U (* 2 J)) U (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2)) (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2) (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) -1/2)
48.0ms
K
@0
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ U (* 2 J)) U (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2)) (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2) (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) -1/2)
33.0ms
K
@-inf
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ U (* 2 J)) U (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2)) (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2) (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) -1/2)
21.0ms
J
@0
((* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (/ K 2) K 2 (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/ (/ U (* 2 J)) (cos (/ K 2))) (/ U (* 2 J)) U (* 2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+ (* (/ (* U U) (* J J)) 1/4) 1) (/ (* U U) (* J J)) (* U U) (* J J) 1/4 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) (* (* 2 J) (cos (/ K 2))) (* (* (* -2 J) (cos (/ K 2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2)) (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2) (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) -1/2)

rewrite340.0ms (7.1%)

Memory
-16.9MiB live, 418.1MiB allocated; 177ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178335493
0182834416
0835833256
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
342 → 386
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(*.f64 #s(literal 2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
(*.f64 J J)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64)))
(pow.f64 (/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))
(/.f64 U #s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #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))))
(/.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)))
(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 (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))
#s(literal -1/2 binary64)
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#s(approx (* (* -2 J) (cos (/ K 2))) #s(hole binary64 (* -2 (* J (cos (* 1/2 K))))))
#s(approx (* -2 J) #s(hole binary64 (* -2 J)))
#s(approx J #s(hole binary64 J))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(hole binary64 (* 1/2 (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(hole binary64 (+ (* 1/2 (* (pow J 2) (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))) (* 1/2 (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(hole binary64 (+ (* 1/2 (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (* (pow J 2) (+ (* 1/2 (* (pow J 2) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))) (* 1/2 (- (/ (* (pow (cos (* 1/2 K)) 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))) (pow U 2)) (/ (pow (cos (* 1/2 K)) 2) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))
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#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) #s(hole binary64 (+ (log (/ U (cos (* 1/2 K)))) (+ (* -1 (log J)) (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))))))
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#s(approx (* 2 J) #s(hole binary64 (* 2 J)))
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Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sin.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(/.f64 (+.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (exp.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(sqrt.f64 (+.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)))
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(log.f64 (+.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
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(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 #s(literal 2 binary64) J)))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(*.f64 #s(literal 2 binary64) J)
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4 binary64)))))) (*.f64 U U)) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))) (*.f64 U U)) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (*.f64 (pow.f64 U #s(literal 6 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* -2 J) (*.f64 #s(literal -2 binary64) J))
#s(approx J J)
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))) (exp.f64 (neg.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))))))
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binary64)) (pow.f64 U #s(literal 4 binary64)))))) (*.f64 U U)) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))) (*.f64 U U)) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 240 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal 720 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (*.f64 #s(literal 1440 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (fma.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (/.f64 (fma.f64 #s(literal -24 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#s(literal 4 binary64))))) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (pow.f64 U #s(literal 4 binary64)) (exp.f64 (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J)))))))))))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (-.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1 binary64) (log.f64 J))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (+.f64 (log.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1 binary64) (log.f64 J) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 J J) (fma.f64 #s(literal -24 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)))))))
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#s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (/ U (* 2 J)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
#s(approx (* 2 J) (*.f64 #s(literal 2 binary64) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U) (*.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 3 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 (*.f64 J J) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -1 binary64)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 U #s(literal -3 binary64)))) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -1 binary64)))))))
#s(approx (* J -2) (*.f64 #s(literal -2 binary64) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 3 binary64))) (pow.f64 U #s(literal -1 binary64))))) J))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) U (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64)))) (pow.f64 U #s(literal -3 binary64))) (pow.f64 U #s(literal -1 binary64))))) J))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))
#s(approx (+ (* (/ (* U U) (* J J)) 1/4) 1) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 U U) (*.f64 J J)) (*.f64 J J)))
#s(approx (/ (* U U) (* J J)) (*.f64 (/.f64 U J) (/.f64 U J)))
#s(approx (* J J) (*.f64 J J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 3 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 5 binary64))))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))) J))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 J J)) (*.f64 J J)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (*.f64 #s(literal -1 binary64) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U) (*.f64 #s(literal -1 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 3 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (fma.f64 #s(literal -1 binary64) U (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 (*.f64 J J) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))))))))))
#s(approx (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2)) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)) J))
#s(approx (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 3 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))) J))
#s(approx (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 5 binary64))))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))) J))
#s(approx (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)))
#s(approx (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2) (*.f64 J (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
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(*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 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K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (pow.f64 J #s(literal 3 binary64))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) #s(literal 1 binary64))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))
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(cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (pow.f64 J #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))) J))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J)))) J))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) (pow.f64 J #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal -3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (*.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))))) J))
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(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) J)) (pow.f64 J #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (pow.f64 J #s(literal 3 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) J))) (pow.f64 J #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))) J))) J)))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))) J) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (fma.f64 #s(literal -3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 #s(literal 3/4 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) J) (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 #s(literal 3/8 binary64) (pow.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)))))) J) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) J) (*.f64 #s(literal -1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 J (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (*.f64 #s(literal -1 binary64) (*.f64 J (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
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#s(literal -1/2 binary64) (/.f64 U J))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))))))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U (*.f64 J (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal 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#s(literal -1/2 binary64) (/.f64 (*.f64 U (fma.f64 #s(literal -1/64 binary64) (/.f64 U J) (*.f64 #s(literal 1/384 binary64) (/.f64 U J)))) J) (*.f64 #s(literal 1/256 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))))))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal 3 binary64))))))))))))))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) (*.f64 J (*.f64 K K)) (*.f64 #s(literal 1/4 binary64) J)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) J (*.f64 (*.f64 K K) (fma.f64 #s(literal -1/192 binary64) J (*.f64 #s(literal 1/23040 binary64) (*.f64 J (*.f64 K K)))))))))
#s(approx (cos (/ K 2)) #s(literal 1 binary64))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)))))
#s(approx (cos (/ K 2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (-.f64 (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)))) #s(literal 1/8 binary64)))))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 U J) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal -1 binary64))))))
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#s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))))))) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))) 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#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 U (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 U (fma.f64 (*.f64 U U) (fma.f64 #s(literal 3/1280 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal -1/48 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))))
#s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 U (fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -5/14336 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 7 binary64))) (*.f64 #s(literal 3/1280 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/48 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64))))))
#s(approx U U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 J #s(literal -1 binary64)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal -3 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 J #s(literal -1 binary64)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 J #s(literal -2 binary64)))))))
#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 6 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 J #s(literal -4 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 J #s(literal -2 binary64)))))))
#s(approx (* U U) (*.f64 U U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)))))))
#s(approx (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (*.f64 #s(literal -1/128 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 #s(literal 3/128 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -5/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64))) (*.f64 #s(literal 3/128 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))) (exp.f64 (neg.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fma.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))) (exp.f64 (neg.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))))) (*.f64 U U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))))) (fma.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))) (exp.f64 (neg.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))) (fma.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 #s(literal -24 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (*.f64 #s(literal -12 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)))) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 4 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U)))))))))))) (pow.f64 U #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 U))))))))) (*.f64 U U))))))
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#s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 U (fma.f64 #s(literal 1/2 binary64) (pow.f64 J #s(literal -1 binary64)) (/.f64 J (*.f64 U U)))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
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#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) U)
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#s(approx (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 U U)) (*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) U)))
#s(approx (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 U U)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)))) (*.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) U)))
#s(approx (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (*.f64 U U)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)))) (*.f64 J (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 J J) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 6 binary64)))))) (*.f64 #s(literal 256 binary64) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 8 binary64)))) (*.f64 J (*.f64 (pow.f64 U #s(literal 6 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) U)))

eval72.0ms (1.5%)

Memory
23.8MiB live, 170.9MiB allocated; 17ms collecting garbage
Compiler

Compiled 40 734 to 2 466 computations (93.9% saved)

prune18.0ms (0.4%)

Memory
-7.1MiB live, 40.1MiB allocated; 2ms collecting garbage
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New41313426
Fresh123
Picked325
Done000
Total41717434
Accuracy
99.9%
Counts
434 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 U #s(literal -2 binary64))))) #s(literal -1/2 binary64))))
▶76.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
▶68.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
38.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 U #s(literal -2 binary64)))))))
74.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
54.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
54.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
✓32.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
▶44.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
33.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
10.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
▶35.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
▶34.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
31.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64)))))
11.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
27.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
✓14.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 1 334 to 920 computations (31% saved)

series45.0ms (1%)

Memory
-2.4MiB live, 96.3MiB allocated; 6ms collecting garbage
Counts
43 → 168
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 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) 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) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal 2 binary64) J)
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))
(/.f64 (*.f64 J J) U)
(*.f64 J J)
(*.f64 #s(literal -1 binary64) U)
#s(literal -1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 U J) (/.f64 U J))
(/.f64 U J)
#s(literal 1/4 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))
(+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))
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 (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) #s(hole binary64 (* -1 U)))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (/ (* J J) U) #s(hole binary64 (/ (pow J 2) U)))
#s(approx (* J J) #s(hole binary64 (pow J 2)))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* -1 U)))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (* J -2) #s(hole binary64 (* -2 J)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) #s(hole binary64 (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))))
#s(approx (* (/ U J) (/ U J)) #s(hole binary64 (/ (pow U 2) (pow J 2))))
#s(approx (/ U J) #s(hole binary64 (/ U J)))
#s(approx (* 1/4 (* (/ U J) (/ U J))) #s(hole binary64 (* 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 (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 (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -2 J)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
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#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 U))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
Calls

9 calls:

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

rewrite201.0ms (4.2%)

Memory
19.2MiB live, 251.9MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08037501
08416661
145416464
082656279
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
211 → 347
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 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) 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) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal 2 binary64) J)
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))
(/.f64 (*.f64 J J) U)
(*.f64 J J)
(*.f64 #s(literal -1 binary64) U)
#s(literal -1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 U J) (/.f64 U J))
(/.f64 U J)
#s(literal 1/4 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))
(+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))
#s(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 (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) #s(hole binary64 (* -1 U)))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (/ (* J J) U) #s(hole binary64 (/ (pow J 2) U)))
#s(approx (* J J) #s(hole binary64 (pow J 2)))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* -1 U)))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
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#s(approx (* -1 U) #s(hole binary64 (* -1 U)))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))))
#s(approx (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 (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) #s(hole binary64 (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1/2 (/ U (* J (cos (* 1/2 K)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 U))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
Outputs
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))))
(*.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 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 K #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (/.f64 K #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 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 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 1 binary64))
(pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #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 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #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 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #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 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #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 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #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 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 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 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))))))
(fma.f64 (fabs.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) (fabs.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))) (exp.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1 binary64))
(+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #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 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (fabs.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) (fabs.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (exp.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))) (exp.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))
(pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1 binary64))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (neg.f64 U) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 1 binary64)))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))
(*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
(+.f64 J J)
(fma.f64 (sin.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
(cos.f64 (neg.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
(+.f64 (*.f64 (sin.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J)) (pow.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/46080 binary64) J) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (fma.f64 #s(literal 1/192 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) J)) (pow.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/12288 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))))) (*.f64 K K) (fma.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) J)) (pow.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J)) (pow.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) #s(literal -2 binary64))) (*.f64 K K) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) J) #s(literal -2 binary64))))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 J #s(literal -2 binary64))))
#s(approx (cos (/ K 2)) #s(literal 1 binary64))
#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
#s(approx K K)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (*.f64 (pow.f64 (*.f64 K (/.f64 U J)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 1/32 binary64) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (*.f64 K K))) (pow.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (*.f64 K K) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (pow.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (fma.f64 #s(literal 1/192 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))) (*.f64 K K)) (pow.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))))) (*.f64 K K) (*.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (*.f64 K K) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 K (/.f64 U J)) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 K K))))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (fma.f64 #s(literal 1/192 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))) (*.f64 K K) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)))) (*.f64 K K) (*.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 K K) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 K (/.f64 U J)) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 K K) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (fma.f64 #s(literal 1/192 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))) (*.f64 K K) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal -1/24 binary64)))) (*.f64 K K) (*.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) (*.f64 K K) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 (/.f64 (*.f64 (*.f64 K K) U) J) #s(literal 1/16 binary64) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 K K)) (*.f64 (/.f64 U J) #s(literal -5/384 binary64)) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (/.f64 U J) (fma.f64 #s(literal 1/3072 binary64) (/.f64 U J) (*.f64 (*.f64 (/.f64 U J) #s(literal -5/384 binary64)) #s(literal 1/8 binary64)))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal -5/384 binary64)))) (*.f64 K K) (*.f64 #s(literal 1/16 binary64) (/.f64 U J))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))
#s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 #s(literal 2 binary64) J))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* (* 2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/192 binary64) J)) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal 2 binary64) J)))
#s(approx (* 1/2 K) (*.f64 #s(literal 1/2 binary64) K))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64))) #s(literal 1/1024 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -4 binary64)))) (*.f64 U U) (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx U U)
#s(approx (* -1 U) (neg.f64 U))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 J #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 J #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 U U)) (pow.f64 J #s(literal 5 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U))
#s(approx (* -1 U) (neg.f64 U))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 J #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 J #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 U U)) (pow.f64 J #s(literal 5 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (fma.f64 (fma.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 U U)) (pow.f64 J #s(literal 4 binary64)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 6 binary64))) #s(literal 1/1024 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 J #s(literal -4 binary64)))) (*.f64 U U) (*.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)))) #s(literal 1 binary64)) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))) U))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 1 binary64))) U))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)))) #s(literal 1 binary64)) U))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 1 binary64))) U))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)))) #s(literal 1 binary64)) U))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) U))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) U))
#s(approx (+ (* (* (/ U J) (/ U J)) 1/4) 1) (fma.f64 (*.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) U)
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)))) #s(literal 1 binary64))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) U)
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))

eval100.0ms (2.1%)

Memory
-22.2MiB live, 77.5MiB allocated; 11ms collecting garbage
Compiler

Compiled 16 480 to 1 776 computations (89.2% saved)

prune59.0ms (1.2%)

Memory
-7.5MiB live, 39.8MiB allocated; 1ms collecting garbage
Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New33914353
Fresh3710
Picked325
Done112
Total34624370
Accuracy
99.9%
Counts
370 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 U #s(literal -2 binary64))))) #s(literal -1/2 binary64))))
38.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 U #s(literal -2 binary64)))))))
37.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
▶76.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
▶68.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
54.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
55.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
✓44.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
36.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
33.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
42.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (exp.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))))
10.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
28.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))))
▶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 (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
✓35.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
34.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
36.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 J U)) (*.f64 #s(literal -1 binary64) U))))
31.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64)))))
▶27.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
▶21.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U))))
3.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)))))
17.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.f64 (-.f64 (/.f64 (neg.f64 U) (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J)))))
11.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
✓14.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 2 163 to 1 422 computations (34.3% saved)

series68.0ms (1.4%)

Memory
34.6MiB live, 81.4MiB allocated; 3ms collecting garbage
Counts
48 → 197
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
#s(approx (cos (/ K 2)) (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)
K
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U)))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U))
(/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U)
(fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U)))
(*.f64 J J)
(neg.f64 (*.f64 U U))
(*.f64 U U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
(*.f64 J #s(literal -2 binary64))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(neg.f64 U)
(+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 J (*.f64 U U))
(/.f64 #s(literal 1/2 binary64) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))
(+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))
#s(literal 1/4 binary64)
(*.f64 (/.f64 U J) (/.f64 U J))
(/.f64 U 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 (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) #s(hole binary64 (* -1 U)))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (/ (+ (* (* J J) -2) (neg (* U U))) U) #s(hole binary64 (* -1 U)))
#s(approx (/ (+ (* (* J J) -2) (neg (* U U))) U) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (+ (* (* J J) -2) (neg (* U U))) #s(hole binary64 (* -1 (pow U 2))))
#s(approx (+ (* (* J J) -2) (neg (* U U))) #s(hole binary64 (- (* -2 (pow J 2)) (pow U 2))))
#s(approx (* J J) #s(hole binary64 (pow J 2)))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* -1 U)))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (+ (* -2 (/ (pow J 2) U)) (* -1 U))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))))
#s(approx (* J -2) #s(hole binary64 (* -2 J)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* 1/2 (/ U J))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (/ (+ (* -1 (/ (pow J 2) U)) (* -1/2 U)) J)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ 1/2 J)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ (+ 1/2 (/ (pow J 2) (pow U 2))) J)))
#s(approx (/ J (* U U)) #s(hole binary64 (/ J (pow U 2))))
#s(approx (/ 1/2 J) #s(hole binary64 (/ 1/2 J)))
#s(approx (* 1/4 (* (/ U J) (/ U J))) #s(hole binary64 (* 1/4 (/ (pow U 2) (pow J 2)))))
#s(approx (* (/ U J) (/ U J)) #s(hole binary64 (/ (pow U 2) (pow J 2))))
#s(approx (/ U J) #s(hole binary64 (/ U 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 (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -2 J)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) #s(hole binary64 (* -2 (/ (pow J 2) U))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) #s(hole binary64 (* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))))
#s(approx (/ (+ (* (* J J) -2) (neg (* U U))) U) #s(hole binary64 (* -2 (/ (pow J 2) U))))
#s(approx (/ (+ (* (* J J) -2) (neg (* U U))) U) #s(hole binary64 (* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))))
#s(approx (+ (* (* J J) -2) (neg (* U U))) #s(hole binary64 (* -2 (pow J 2))))
#s(approx (+ (* (* J J) -2) (neg (* U U))) #s(hole binary64 (* (pow J 2) (- (* -1 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* -2 J)))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (+ (* -1/512 (/ (pow U 6) (pow J 6))) (* 1/64 (/ (pow U 4) (pow J 4))))) 2))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* -1 (/ J U))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U)))))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ J (pow U 2))))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (* J (+ (* 1/2 (/ 1 (pow J 2))) (/ 1 (pow U 2))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(hole binary64 (* -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)))))))))
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#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (+ (* 1/2 (/ 1 J)) (/ J (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)))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (/ (+ (* (* J J) -2) (neg (* U U))) U) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 U))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
Calls

9 calls:

TimeVariablePointExpression
21.0ms
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)) (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J) 2 (cos (/ K 2)) (/ K 2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (+ (* -2 (/ (* J J) U)) (* -1 U)) (/ (+ (* (* J J) -2) (neg (* U U))) U) (+ (* (* J J) -2) (neg (* U U))) (* J J) (neg (* U U)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (neg U) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (/ 1/2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (* 1/4 (* (/ U J) (/ U J))) 1/4 (* (/ U J) (/ U J)) (/ U J))
7.0ms
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)) (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J) 2 (cos (/ K 2)) (/ K 2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (+ (* -2 (/ (* J J) U)) (* -1 U)) (/ (+ (* (* J J) -2) (neg (* U U))) U) (+ (* (* J J) -2) (neg (* U U))) (* J J) (neg (* U U)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (neg U) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (/ 1/2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (* 1/4 (* (/ U J) (/ U J))) 1/4 (* (/ U J) (/ U J)) (/ U 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)) (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J) 2 (cos (/ K 2)) (/ K 2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (+ (* -2 (/ (* J J) U)) (* -1 U)) (/ (+ (* (* J J) -2) (neg (* U U))) U) (+ (* (* J J) -2) (neg (* U U))) (* J J) (neg (* U U)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (neg U) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (/ 1/2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (* 1/4 (* (/ U J) (/ U J))) 1/4 (* (/ U J) (/ U J)) (/ U J))
6.0ms
J
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J) 2 (cos (/ K 2)) (/ K 2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (+ (* -2 (/ (* J J) U)) (* -1 U)) (/ (+ (* (* J J) -2) (neg (* U U))) U) (+ (* (* J J) -2) (neg (* U U))) (* J J) (neg (* U U)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (neg U) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (/ 1/2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (* 1/4 (* (/ U J) (/ U J))) 1/4 (* (/ U J) (/ U J)) (/ U J))
6.0ms
U
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) -2 J (cos (/ K 2)) (cos (* 1/2 K)) (* 1/2 K) 1/2 K (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))) U (* (* 2 J) (cos (/ K 2))) (* 2 J) 2 (cos (/ K 2)) (/ K 2) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (+ (* -2 (/ (* J J) U)) (* -1 U)) (/ (+ (* (* J J) -2) (neg (* U U))) U) (+ (* (* J J) -2) (neg (* U U))) (* J J) (neg (* U U)) (* U U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (neg U) (+ (/ J (* U U)) (/ 1/2 J)) (/ J (* U U)) (/ 1/2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (* 1/4 (* (/ U J) (/ U J))) 1/4 (* (/ U J) (/ U J)) (/ U J))

rewrite227.0ms (4.8%)

Memory
-1.7MiB live, 230.1MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08738302
09127513
148777328
081287013
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
245 → 391
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
#s(approx (cos (/ K 2)) (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)
K
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
(cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U)))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U))
(/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U)
(fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U)))
(*.f64 J J)
(neg.f64 (*.f64 U U))
(*.f64 U U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
(*.f64 J #s(literal -2 binary64))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(neg.f64 U)
(+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 J (*.f64 U U))
(/.f64 #s(literal 1/2 binary64) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))))
(+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))
#s(literal 1/4 binary64)
(*.f64 (/.f64 U J) (/.f64 U J))
(/.f64 U 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)))
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#s(approx (* (* 2 J) (cos (/ K 2))) #s(hole binary64 (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))))
#s(approx (/ K 2) #s(hole binary64 (* 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))) (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 (cos (* 1/2 K)) #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 (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)))
#s(approx (/ (+ (* (* J J) -2) (neg (* U U))) U) #s(hole binary64 (/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)))
#s(approx (+ (* (* J J) -2) (neg (* U U))) #s(hole binary64 (+ (* -2 (pow J 2)) (* -1 (pow U 2)))))
#s(approx (neg (* U U)) #s(hole binary64 (* -1 (pow U 2))))
#s(approx (* U U) #s(hole binary64 (pow U 2)))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (+ (* -2 J) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (pow J 5))) (* 1/64 (/ 1 (pow J 3))))) (* 1/4 (/ 1 J)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) U)))
#s(approx (neg U) #s(hole binary64 (* -1 U)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (/ (+ J (* 1/2 (/ (pow U 2) J))) (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 (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 (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (/ (+ (* (* J J) -2) (neg (* U U))) U) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (+ (* (* J J) -2) (neg (* U U))) #s(hole binary64 (* (pow U 2) (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J))))))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) #s(hole binary64 (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
#s(approx (* (* (* -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)))))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (/ (+ (* (* J J) -2) (neg (* U U))) U) #s(hole binary64 (* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 U))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))))
#s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) #s(hole binary64 (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1/2 (/ U J))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(hole binary64 (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) #s(hole binary64 (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
Outputs
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 J #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
(pow.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 1 binary64))
(pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #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 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 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 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))))))
(fma.f64 (exp.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))) (exp.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1 binary64))
(+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #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 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (exp.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))) (exp.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))
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#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)) U)) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 J J) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) (*.f64 J J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 5 binary64)))) #s(literal 2 binary64) (neg.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64)))) (*.f64 J J) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) (*.f64 J J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 J J)) #s(literal 1 binary64)))
#s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
#s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1/2 binary64)))
#s(approx (* (* 2 J) (cos (/ K 2))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* 2 J) (*.f64 #s(literal 2 binary64) J))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (neg.f64 U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (pow.f64 U #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J) (neg.f64 U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 U #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (pow.f64 U #s(literal 5 binary64)))) (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J) (neg.f64 U)))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (neg.f64 U))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (/ (+ (* (* J J) -2) (neg (* U U))) U) (neg.f64 U))
#s(approx (/ (+ (* (* J J) -2) (neg (* U U))) U) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (neg.f64 U) U))
#s(approx (+ (* (* J J) -2) (neg (* U U))) (-.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)))
#s(approx (* J J) (*.f64 J J))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (neg.f64 U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (pow.f64 U #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J) (neg.f64 U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 U #s(literal -3 binary64)) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (pow.f64 U #s(literal 5 binary64)))) (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J) (neg.f64 U)))
#s(approx (* J -2) (*.f64 J #s(literal -2 binary64)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 J J) (pow.f64 U #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 U #s(literal -1 binary64))) (*.f64 J J) (*.f64 U #s(literal 1/2 binary64))) J))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (pow.f64 U #s(literal 5 binary64))) (pow.f64 U #s(literal -3 binary64))) (*.f64 J J) (pow.f64 U #s(literal -1 binary64))) (*.f64 J J) (*.f64 U #s(literal 1/2 binary64))) J))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (fma.f64 #s(literal -1/2 binary64) U (neg.f64 (/.f64 (*.f64 J J) U))) J))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 #s(literal 1/2 binary64) J))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 1/2 binary64)) J))
#s(approx (/ J (* U U)) (/.f64 J (*.f64 U U)))
#s(approx (/ 1/2 J) (/.f64 #s(literal 1/2 binary64) J))
#s(approx (* 1/4 (* (/ U J) (/ U J))) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
#s(approx (* (/ U J) (/ U J)) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))
#s(approx (/ U J) (/.f64 U J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) #s(literal 1/64 binary64) (*.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64)))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) #s(literal 1/64 binary64))))) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)))) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64))))) #s(literal 1 binary64)))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 2 binary64)) J))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal 1/64 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) #s(literal 2 binary64)) J))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) #s(literal -1/512 binary64) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))))) #s(literal 2 binary64)) J))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.f64 (-.f64 (/.f64 (neg.f64 U) (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J)))
#s(approx (/ (+ (* (* J J) -2) (neg (* U U))) U) (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)))
#s(approx (/ (+ (* (* J J) -2) (neg (* U U))) U) (*.f64 (-.f64 (/.f64 (neg.f64 U) (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J)))
#s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (*.f64 J J) #s(literal -2 binary64)))
#s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 J J)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))) #s(literal 2 binary64)) J))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal 1/64 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) #s(literal 2 binary64)) J))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) #s(literal -1/512 binary64) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))))) #s(literal 2 binary64)) J))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal -1/128 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (+.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) #s(literal 1/1024 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 U J) #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (*.f64 (-.f64 (*.f64 (/.f64 U (*.f64 J J)) #s(literal -1/2 binary64)) (pow.f64 U #s(literal -1 binary64))) J))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 J (*.f64 U U)))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (*.f64 (fma.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal 1/2 binary64) (pow.f64 U #s(literal -2 binary64))) J))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 J) (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 J) (fma.f64 #s(literal -1/64 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 J) (fma.f64 #s(literal -1/64 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 J) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 J) (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 J) (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 J) (fma.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 J) (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 J) (+.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (*.f64 (neg.f64 J) (fma.f64 (/.f64 U (*.f64 J J)) #s(literal 1/2 binary64) (pow.f64 U #s(literal -1 binary64)))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 U U)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64))) #s(literal 1/1024 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -4 binary64)))) (*.f64 U U) (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx U U)
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 J #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 J #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 U U)) (pow.f64 J #s(literal 5 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (*.f64 (neg.f64 U) U)) U))
#s(approx (/ (+ (* (* J J) -2) (neg (* U U))) U) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (*.f64 (neg.f64 U) U)) U))
#s(approx (+ (* (* J J) -2) (neg (* U U))) (fma.f64 (*.f64 J J) #s(literal -2 binary64) (*.f64 (neg.f64 U) U)))
#s(approx (neg (* U U)) (*.f64 (neg.f64 U) U))
#s(approx (* U U) (*.f64 U U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 U U)) (pow.f64 J #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 J #s(literal -3 binary64)) #s(literal 1/64 binary64) (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 U U)) (pow.f64 J #s(literal 5 binary64)))) (*.f64 U U)) (/.f64 #s(literal 1/4 binary64) J)) (*.f64 U U) (*.f64 J #s(literal -2 binary64))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 4 binary64))) #s(literal -1/128 binary64) (*.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (pow.f64 J #s(literal 6 binary64))) #s(literal 1/1024 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 J #s(literal -4 binary64)))) (*.f64 U U) (*.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/2 binary64) (neg.f64 J)) U))
#s(approx (neg U) (neg.f64 U))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 1/2 binary64) J) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)))) #s(literal 1 binary64)) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))) U))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))) U))
#s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (fma.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 U U) #s(literal 1 binary64)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 1 binary64))) U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)))) #s(literal 1 binary64)) U))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (/ (+ (* (* J J) -2) (neg (* U U))) U) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) (*.f64 U U)))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 1 binary64))) U))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)))) #s(literal 1 binary64)) U))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))) U))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))) U))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (*.f64 (-.f64 (/.f64 (neg.f64 J) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))
#s(approx (+ (/ J (* U U)) (/ 1/2 J)) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (-.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 2 binary64)) (*.f64 U U)) #s(literal -2 binary64)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) U)
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)))) #s(literal 1 binary64))))
#s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (/ (+ (* (* J J) -2) (neg (* U U))) U) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) U)
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 1 binary64)))))
#s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
#s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) (fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))

eval76.0ms (1.6%)

Memory
-28.8MiB live, 116.5MiB allocated; 13ms collecting garbage
Compiler

Compiled 21 328 to 2 108 computations (90.1% saved)

prune32.0ms (0.7%)

Memory
45.1MiB live, 88.7MiB allocated; 6ms collecting garbage
Pruning

26 alts after pruning (20 fresh and 6 done)

PrunedKeptTotal
New3868394
Fresh41216
Picked235
Done033
Total39226418
Accuracy
99.9%
Counts
418 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 U #s(literal -2 binary64))))) #s(literal -1/2 binary64))))
38.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 U #s(literal -2 binary64)))))))
37.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
68.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
76.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
✓68.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
54.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
55.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
✓44.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
36.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
33.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
42.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (exp.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))))
28.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))))
2.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) #s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 J (*.f64 U U)))))))
9.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (fma.f64 #s(literal -1/2 binary64) U (neg.f64 (/.f64 (*.f64 J J) U))) J)))))
2.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
✓35.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
34.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
36.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 J U)) (*.f64 #s(literal -1 binary64) U))))
31.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U)))
✓27.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
✓21.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U))))
3.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 #s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) U))))
21.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 #s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (neg.f64 U) U)) U))))
17.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.f64 (-.f64 (/.f64 (neg.f64 U) (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J)))))
✓14.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Compiler

Compiled 3 271 to 1 123 computations (65.7% saved)

regimes95.0ms (2%)

Memory
-23.3MiB live, 163.6MiB allocated; 41ms collecting garbage
Counts
44 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 #s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (neg.f64 U) U)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.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)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 #s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 J U)) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) #s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 J (*.f64 U U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.f64 (-.f64 (/.f64 (neg.f64 U) (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (fma.f64 #s(literal -1/2 binary64) U (neg.f64 (/.f64 (*.f64 J J) U))) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
#s(approx (* (* (* -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))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U 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) #s(approx (cos (/ K 2)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (exp.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #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))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 U #s(literal -2 binary64)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) (*.f64 (*.f64 U U) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 U #s(literal -2 binary64))))) #s(literal -1/2 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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (+.f64 J J) (cos.f64 #s(approx (/ K 2) (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

6 calls:

24.0ms
U
16.0ms
K
15.0ms
(/.f64 K #s(literal 2 binary64))
14.0ms
(*.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)))))
12.0ms
J
Results
AccuracySegmentsBranch
86.8%1(/.f64 K #s(literal 2 binary64))
86.8%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
99.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
89.1%2J
86.8%1K
86.8%1U
Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes11.0ms (0.2%)

Memory
27.2MiB live, 27.2MiB allocated; 0ms collecting garbage
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 #s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (neg.f64 U) U)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.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)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 #s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 J U)) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) #s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 J (*.f64 U U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.f64 (-.f64 (/.f64 (neg.f64 U) (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (fma.f64 #s(literal -1/2 binary64) U (neg.f64 (/.f64 (*.f64 J J) U))) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
#s(approx (* (* (* -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))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U 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) #s(approx (cos (/ K 2)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (exp.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 #s(approx (/ (/ U (* 2 J)) (cos (/ K 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 U J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 #s(approx (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

1 calls:

9.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
91.9%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)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes58.0ms (1.2%)

Memory
-38.7MiB live, 107.0MiB allocated; 17ms collecting garbage
Counts
28 → 4
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 #s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (neg.f64 U) U)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.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)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 #s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 J U)) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) #s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 J (*.f64 U U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.f64 (-.f64 (/.f64 (neg.f64 U) (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (fma.f64 #s(literal -1/2 binary64) U (neg.f64 (/.f64 (*.f64 J J) U))) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
#s(approx (* (* (* -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))) (/ 1 (pow (+ (pow (/ (/ U (* 2 J)) (cos (/ K 2))) 2) 1) -1/2))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64)) #s(literal 1 binary64))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

6 calls:

11.0ms
(/.f64 K #s(literal 2 binary64))
11.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
11.0ms
U
8.0ms
J
8.0ms
K
Results
AccuracySegmentsBranch
66.3%2(/.f64 K #s(literal 2 binary64))
66.3%2K
72.3%2U
69.2%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
66.6%2J
84.0%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes8.0ms (0.2%)

Memory
18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 #s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (neg.f64 U) U)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.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)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 #s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 J U)) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) #s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 J (*.f64 U U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.f64 (-.f64 (/.f64 (neg.f64 U) (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (fma.f64 #s(literal -1/2 binary64) U (neg.f64 (/.f64 (*.f64 J J) U))) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 U J) (/.f64 U J)))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

1 calls:

6.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
73.9%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)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes47.0ms (1%)

Memory
-7.1MiB live, 91.8MiB allocated; 9ms collecting garbage
Counts
23 → 4
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 #s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (neg.f64 U) U)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.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)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 #s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 J U)) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) #s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 J (*.f64 U U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.f64 (-.f64 (/.f64 (neg.f64 U) (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (fma.f64 #s(literal -1/2 binary64) U (neg.f64 (/.f64 (*.f64 J J) U))) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 J U)) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

6 calls:

10.0ms
(/.f64 K #s(literal 2 binary64))
10.0ms
U
6.0ms
K
6.0ms
J
6.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
47.3%3(/.f64 K #s(literal 2 binary64))
47.3%3K
51.0%2J
55.4%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
51.2%2U
69.0%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes7.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Counts
21 → 4
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 #s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (neg.f64 U) U)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.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)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 #s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 J U)) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 (fma.f64 (*.f64 J J) #s(literal -2 binary64) (neg.f64 (*.f64 U U))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) #s(approx (+ (/ J (* U U)) (/ 1/2 J)) (/.f64 J (*.f64 U U)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1))) (*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (*.f64 U U)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal 1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.f64 (-.f64 (/.f64 (neg.f64 U) (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (fma.f64 #s(literal -1/2 binary64) U (neg.f64 (/.f64 (*.f64 J J) U))) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 J U)) (*.f64 #s(literal -1 binary64) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 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
59.7%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Counts
9 → 4
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 #s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (neg.f64 U) U)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.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)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 #s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
Calls

1 calls:

3.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
59.5%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory
-37.5MiB live, 9.0MiB allocated; 4ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 #s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (neg.f64 U) U)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (*.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)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) #s(approx (+ (* -2 (/ (* J J) U)) (* -1 U)) (/.f64 #s(approx (+ (* (* J J) -2) (neg (* U U))) (*.f64 (*.f64 J J) #s(literal -2 binary64))) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ (* (* (/ U J) (/ U J)) 1/4) 1)) #s(approx (* (neg U) (+ (/ J (* U U)) (/ 1/2 J))) (/.f64 (neg.f64 J) U)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 #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:

6.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
57.9%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)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB 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

4 calls:

1.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms
U
1.0ms
J
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
35.8%1J
35.8%1U
49.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
49.1%2(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 30 to 29 computations (3.3% saved)

regimes6.0ms (0.1%)

Memory
20.1MiB live, 20.1MiB 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
U
1.0ms
J
Results
AccuracySegmentsBranch
14.9%1J
14.9%1U
14.9%1(/.f64 K #s(literal 2 binary64))
14.9%1K
14.9%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
14.9%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
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.1571129142746566e+294
1.1209795621004371e+298
0.0ms
-inf
-2.8319990095361206e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.1571129142746566e+294
1.1209795621004371e+298
0.0ms
-inf
-2.8319990095361206e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.1571129142746566e+294
1.1209795621004371e+298
0.0ms
-3.8870436597002656e-290
1.0491054491615505e-210
0.0ms
-inf
-2.8319990095361206e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch3.0ms (0.1%)

Memory
-45.4MiB live, 1.6MiB allocated; 4ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-3.8870436597002656e-290
1.0491054491615505e-210
0.0ms
-inf
-2.8319990095361206e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
-3.8870436597002656e-290
1.0491054491615505e-210
0.0ms
-2.4022345917190762e-145
-5.23501706498739e-151
0.0ms
-inf
-2.8319990095361206e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
-3.8870436597002656e-290
1.0491054491615505e-210
0.0ms
-8.323386700853302e-74
-1.1641833889430405e-74
0.0ms
-inf
-2.8319990095361206e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
-3.8870436597002656e-290
1.0491054491615505e-210
0.0ms
-8.323386700853302e-74
-1.1641833889430405e-74
0.0ms
-inf
-2.8319990095361206e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-3.8870436597002656e-290
1.0491054491615505e-210
0.0ms
-inf
-2.8319990095361206e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.8870436597002656e-290
1.0491054491615505e-210
Compiler

Compiled 27 to 23 computations (14.8% saved)

derivations321.0ms (6.7%)

Memory
-7.9MiB live, 385.1MiB allocated; 28ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 1 585 to 122 computations (92.3% saved)

preprocess299.0ms (6.3%)

Memory
17.3MiB live, 588.4MiB allocated; 41ms collecting garbage
Remove

(negabs J)

(abs U)

(abs K)

Compiler

Compiled 18 804 to 5 182 computations (72.4% saved)

end0.0ms (0%)

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

Profiling

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