Maksimov and Kolovsky, Equation (3)

Time bar (total: 9.1s)

start0.0ms (0%)

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

analyze454.0ms (5%)

Memory
-37.5MiB live, 586.7MiB allocated; 106ms 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)

sample1.8s (19.5%)

Memory
32.2MiB live, 2 260.7MiB allocated; 355ms collecting garbage
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 331.0ms (32.1% of total)
ival-cos: 247.0ms (23.9% of total)
ival-div: 174.0ms (16.9% of total)
ival-add: 90.0ms (8.7% of total)
ival-sqrt: 84.0ms (8.1% of total)
ival-pow2: 80.0ms (7.8% of total)
exact: 14.0ms (1.4% of total)
ival-true: 7.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

explain812.0ms (8.9%)

Memory
-95.3MiB live, 277.3MiB allocated; 1.0s collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
470-0-(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))))
320-0-(*.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(4.6111341434465114e-142 4.7835099140006565e+235 -1.337124709763262e+109)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)))sensitivity1330
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-rescue470
↳(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))))overflow32
↳(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))overflow32
↳(+.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)))overflow79
↳(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))overflow79
*.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*o320
Confusion
Predicted +Predicted -
+790
-9681
Precision
0.4514285714285714
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7900
-96081
Precision?
0.4514285714285714
Recall?
1.0
Freqs
test
numberfreq
081
1138
237
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
69.0ms512×0valid
Compiler

Compiled 248 to 55 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 16.0ms (33.8% of total)
ival-cos: 12.0ms (25.4% of total)
ival-div: 7.0ms (14.8% of total)
ival-pow2: 5.0ms (10.6% of total)
ival-sqrt: 3.0ms (6.3% of total)
ival-add: 2.0ms (4.2% of total)
exact: 1.0ms (2.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess193.0ms (2.1%)

Memory
-18.2MiB live, 169.5MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070222
1198216
2588216
32092216
44743216
01724
02824
15224
211424
331424
4120824
5365324
6708124
0823824
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) J)
Symmetry

(abs U)

(abs K)

(negabs J)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶70.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify138.0ms (1.5%)

Memory
-11.8MiB live, 137.4MiB allocated; 13ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(literal -2 binary64) J)
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff0
(*.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)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017110
028110
152110
2114110
3314110
41208110
53653110
67081110
08238110
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.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
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) J)
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(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))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #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 (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 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.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))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 #s(literal 2 binary64) J)

localize73.0ms (0.8%)

Memory
8.1MiB live, 54.5MiB allocated; 2ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.1796875
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy7.5783194334182085
(*.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)))))
accuracy10.99567631244307
(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))))
Samples
63.0ms256×0valid
Compiler

Compiled 112 to 19 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 37.0ms (71.4% of total)
ival-cos: 6.0ms (11.6% of total)
ival-div: 3.0ms (5.8% of total)
ival-sqrt: 2.0ms (3.9% of total)
ival-pow2: 2.0ms (3.9% of total)
ival-add: 1.0ms (1.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series86.0ms (0.9%)

Memory
10.3MiB live, 63.9MiB allocated; 8ms collecting garbage
Counts
6 → 61
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)
(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))))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
Outputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -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))))))
(+ (* -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))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 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)
(/ (+ (* 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)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* 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)))))))
(* 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))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 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))))))
(+ 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)))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -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)))))))
(* -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))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -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))))))))))))
(+ (* -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)))))))))))))
(+ (* -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))))))))))))))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (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)))))))))
(+ (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)))))))))))
(+ (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)))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 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))))))
(+ (* 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))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(cos (* 1/2 K))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -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))))))))
(+ (* -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))))))))
(+ 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)))))))
(+ 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)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 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))
(* 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))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* 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)))))
(* 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))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -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)))
(* -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)))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -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))))))
(* -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
56.0ms
K
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
7.0ms
K
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
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) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
3.0ms
J
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
3.0ms
K
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))

simplify246.0ms (2.7%)

Memory
13.2MiB live, 200.6MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03602498
112872382
260012373
083412242
Stop Event
1×iter limit
1×node limit
Counts
61 → 60
Calls
Call 1
Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -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))))))
(+ (* -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))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 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)
(/ (+ (* 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)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* 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)))))))
(* 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))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 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))))))
(+ 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)))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -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)))))))
(* -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))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -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))))))))))))
(+ (* -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)))))))))))))
(+ (* -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))))))))))))))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (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)))))))))
(+ (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)))))))))))
(+ (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)))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 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))))))
(+ (* 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))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(cos (* 1/2 K))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -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))))))))
(+ (* -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))))))))
(+ 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)))))))
(+ 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)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 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))
(* 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))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* 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)))))
(* 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))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -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)))
(* -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)))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -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))))))
(* -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
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U))
(+ (* -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))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 3 binary64)))))) (*.f64 J J) (neg.f64 U))
(+ (* -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))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64))) (*.f64 J J) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 J J) U) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J)
(/ (+ (* 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)
(/.f64 (fma.f64 (fma.f64 (neg.f64 J) (*.f64 J (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) #s(literal 3 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)) (*.f64 J J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J)
(/ (+ (* 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)
(/.f64 (fma.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (*.f64 J J) (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)))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 J J) U) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))) J)
(* 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)))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) #s(literal 1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))))) J)
(* 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))))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (/.f64 U J) (/.f64 U J)) (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)) #s(literal 1/64 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)))))) J)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 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))))))
(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 4 binary64))) #s(literal -1/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 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)))))))
(+.f64 (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 4 binary64))) #s(literal -1/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 #s(literal 1/1024 binary64) (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 6 binary64))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))) J)
(* -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)))))))
(*.f64 (neg.f64 J) (fma.f64 (/.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (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))))))
(* -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))))))))
(*.f64 (neg.f64 J) (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 #s(literal 1/4 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (/.f64 U J) (/.f64 U J)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (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)))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(+ (* -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))))))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) J (*.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1/32 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))) (*.f64 K K) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) J)) #s(literal -2 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)))))))))))))
(fma.f64 (*.f64 (*.f64 K K) #s(literal -2 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) J (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))))) (*.f64 K K) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) J (*.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1/32 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(+ (* -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))))))))))))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) J (fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))) (*.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) J) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) J) (fma.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) (/.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) (*.f64 J J))) (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 13/2880 binary64) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/12288 binary64) (/.f64 (*.f64 U U) J))) (*.f64 (*.f64 #s(literal -1/46080 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))) (*.f64 K K) (fma.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (*.f64 U U) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) J (*.f64 (*.f64 #s(literal 1/2 binary64) J) (*.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))))))) #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) J) #s(literal 1/4 binary64))) (*.f64 K K))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 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)))))))))
(fma.f64 (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 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)))))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K K)) (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J)))) (*.f64 K K) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 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)))))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 K K) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (+.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) (/.f64 (fma.f64 #s(literal -1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) (pow.f64 J #s(literal 4 binary64)))) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)) (*.f64 J J))) (*.f64 (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 13/2880 binary64) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/96 binary64))) #s(literal -1/4 binary64))) (*.f64 K K)))) (*.f64 (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 U U)) (*.f64 J J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))) (*.f64 K K) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J))
(+ (* 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))))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) (*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) J) (/.f64 (*.f64 U U) J) (*.f64 (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64)) (*.f64 K K))) (*.f64 K K)))
(+ (* 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))))))))))
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) (*.f64 U U) (*.f64 (*.f64 U U) #s(literal 1/4 binary64))) (*.f64 J J)) (*.f64 (pow.f64 K #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 13/2880 binary64) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal -1/96 binary64))) (*.f64 (*.f64 (/.f64 U J) (/.f64 U J)) #s(literal 1/96 binary64)))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+ (* -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))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64))) (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+ (* -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))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 U (/.f64 U (pow.f64 J #s(literal 5 binary64)))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)))) (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))) (*.f64 U U) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+ 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)))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 U (/.f64 U (pow.f64 J #s(literal 4 binary64)))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))) (*.f64 U U) #s(literal 1 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)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (*.f64 U U) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))) (/.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))))) (pow.f64 U #s(literal 4 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) U)
(* 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))
(*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J J) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))))) #s(literal 1 binary64)) U)
(* 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))
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 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))) (-.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J J) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))))) #s(literal 1 binary64))) U)
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(* 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)))))
(*.f64 (-.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))) U)
(* 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))))))
(*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (-.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) U)
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))
(* -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)))
(*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J J) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))))) #s(literal 1 binary64)) (neg.f64 U))
(* -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)))
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 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))) (-.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J J) (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))))) #s(literal 1 binary64))) (neg.f64 U))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (neg.f64 U))
(* -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))))))
(*.f64 (-.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (/.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)))) (neg.f64 U))
(* -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)))))))
(*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (-.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (/.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))))) (neg.f64 U))

rewrite202.0ms (2.2%)

Memory
-17.7MiB live, 122.0MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01766
02866
18060
240960
3557360
0853360
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 289
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)
(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))))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
Outputs
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (pow.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))) #s(literal 1/4 binary64))) (pow.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))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sin.f64 (acos.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))) #s(literal -2 binary64))) J)
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) J))
(*.f64 (*.f64 (sin.f64 (acos.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 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) J) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)))
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J)) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 J (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))) J)
(*.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))) #s(literal -2 binary64))
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(*.f64 (pow.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))) #s(literal 1/4 binary64)) (*.f64 (pow.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))) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J)))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) #s(literal -2 binary64)))
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) J))
(*.f64 (sin.f64 (acos.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 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (sin.f64 (acos.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) (*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (sin.f64 (acos.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) (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))))
(*.f64 J (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))))
(/.f64 (*.f64 (sin.f64 (acos.f64 (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 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))
(/.f64 (*.f64 (sin.f64 (acos.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 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)) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (sin.f64 (acos.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))) (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (sin.f64 (acos.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 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)) (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))))
(neg.f64 (*.f64 (*.f64 (sin.f64 (acos.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))) #s(literal -2 binary64))) J))
(fma.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J)) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J))))
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J))))
(+.f64 (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) J)) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(*.f64 (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))) J)
(*.f64 (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64))) J)
(*.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) J))
(*.f64 (*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J)
(*.f64 (neg.f64 J) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 (neg.f64 J) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 J))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) J)
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) (neg.f64 J))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) J)
(*.f64 (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal -2 binary64))
(*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) J))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(literal 2 binary64))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) J) (neg.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) J))
(*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(*.f64 J (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))))
(*.f64 J (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64))))
(*.f64 J (*.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))
(*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (fma.f64 J J #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fma.f64 J J #s(literal 0 binary64)))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64)))) (fma.f64 J J #s(literal 0 binary64)))
(/.f64 (*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64)))) (fma.f64 J J #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))) (-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (-.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)))))
(neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) J (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) J)))
(fma.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (neg.f64 J) (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(fma.f64 J (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 J (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(-.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) J)) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) J)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
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(+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(*.f64 (neg.f64 J) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 J))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64)))) (neg.f64 (fma.f64 J J #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64)))) (fma.f64 J J #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (fma.f64 J J #s(literal 0 binary64)))
(neg.f64 (*.f64 #s(literal 2 binary64) J))
(-.f64 (/.f64 (*.f64 J J) #s(literal 0 binary64)) (/.f64 (*.f64 J J) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (fma.f64 J J #s(literal 0 binary64))) (/.f64 (pow.f64 J #s(literal 3 binary64)) (fma.f64 J J #s(literal 0 binary64))))
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(/.f64 (fabs.f64 (/.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fabs.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(/.f64 (fabs.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (fabs.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(/.f64 (fabs.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (fabs.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U)) (fabs.f64 (*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) J))))
(/.f64 (fabs.f64 (*.f64 (neg.f64 U) U)) (fabs.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))
(/.f64 (fabs.f64 (*.f64 U U)) (fabs.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(/.f64 (/.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(/.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(/.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(/.f64 (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (*.f64 (pow.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) J)))
(/.f64 (*.f64 (neg.f64 U) U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))))
(neg.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))))
(fma.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (cosh.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))) (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 4 binary64)))
(fabs.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))))
(+.f64 (neg.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))) (sinh.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64)))))
(+.f64 (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) #s(literal 2 binary64))))

eval79.0ms (0.9%)

Memory
18.7MiB live, 70.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 14 477 to 1 797 computations (87.6% saved)

prune33.0ms (0.4%)

Memory
-16.7MiB live, 29.9MiB allocated; 2ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New36812380
Fresh000
Picked101
Done000
Total36912381
Accuracy
99.9%
Counts
381 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (neg.f64 (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)))))
70.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (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)))))
▶70.6%
(*.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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
▶11.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
55.3%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
▶49.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
34.0%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))) (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)))))
48.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
▶12.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
70.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
37.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
▶40.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
Compiler

Compiled 1 018 to 670 computations (34.2% saved)

simplify102.0ms (1.1%)

Memory
19.1MiB live, 66.7MiB allocated; 2ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(literal -2 binary64) J)
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
cost-diff0
(*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64))
cost-diff0
(-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(literal -2 binary64) J)
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
cost-diff0
(neg.f64 U)
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(literal -2 binary64) J)
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff0
(*.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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050513
078513
1150513
2453513
32046513
08578513
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.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) #s(approx (cos (/ K 2)) (cos.f64 (*.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) #s(approx (cos (/ K 2)) (cos.f64 (*.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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
U
(*.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(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)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
U
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 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)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))
(-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.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) K)
#s(literal -1/2 binary64)
K
#s(literal 2 binary64)
(/.f64 (*.f64 J J) (*.f64 U U))
(*.f64 J J)
J
(*.f64 U U)
U
#s(literal -2 binary64)
#s(literal 1 binary64)
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) J)
(*.f64 #s(literal -1/2 binary64) U)
#s(literal -1/2 binary64)
U
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) #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 #s(literal 2 binary64) J))
(*.f64 #s(literal 2 binary64) J)
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(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)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
U
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal -2 binary64)) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 (/.f64 J U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 U)))
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 (/.f64 J U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 U))
(-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 (/.f64 J U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) U) (*.f64 (/.f64 J U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))
(*.f64 (*.f64 (/.f64 (/.f64 J U) U) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
#s(literal 2 binary64)
(/.f64 (*.f64 J J) (*.f64 U U))
(*.f64 (/.f64 (/.f64 J U) U) J)
(*.f64 J J)
J
(*.f64 U U)
U
#s(literal -2 binary64)
#s(literal 1 binary64)
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) J)
(*.f64 #s(literal -1/2 binary64) U)
#s(literal -1/2 binary64)
U
(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)

localize168.0ms (1.8%)

Memory
-36.6MiB live, 108.7MiB allocated; 14ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.12109375
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
accuracy7.5783194334182085
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
accuracy54.56186612115207
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
accuracy0.23046875
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))
accuracy3.1109320849799484
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))
accuracy13.921977041055579
(/.f64 (*.f64 J J) (*.f64 U U))
accuracy54.665793148189394
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
accuracy0.0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy0.11328125
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy7.5783194334182085
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy32.10025438206347
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy0.0
(neg.f64 U)
accuracy37.99084970502358
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy0.11328125
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.1796875
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
accuracy7.5783194334182085
(*.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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
accuracy10.99567631244307
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))
Samples
137.0ms256×0valid
Compiler

Compiled 429 to 34 computations (92.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-div: 33.0ms (45.2% of total)
ival-mult: 18.0ms (24.6% of total)
ival-cos: 11.0ms (15.1% of total)
ival-pow2: 5.0ms (6.8% of total)
ival-sqrt: 2.0ms (2.7% of total)
ival-add: 1.0ms (1.4% of total)
ival-sub: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series66.0ms (0.7%)

Memory
11.7MiB live, 58.0MiB allocated; 4ms collecting garbage
Counts
19 → 94
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) #s(approx (cos (/ K 2)) (cos.f64 (*.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)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))
(-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(/.f64 (*.f64 J J) (*.f64 U U))
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
Outputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -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))))))
(+ (* -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))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
U
(+ U (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)))
-1
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 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)
(/ (+ (* 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)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/ (pow J 2) (pow U 2))
(* -1/2 (/ U (* J (cos (* -1/2 K)))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* 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)))))))
(* 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))))))))
(* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U))
(* (pow J 2) (+ (* 2 (/ (pow (cos (* -1/2 K)) 2) U)) (/ U (pow J 2))))
(* (pow J 2) (- (* -2 (/ (pow (cos (* -1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 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))))))
(+ 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)))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -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)))))))
(* -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))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -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))))))))))))
(+ (* -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)))))))))))))
(+ (* -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))))))))))))))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* -1/2 (/ (* (pow J 2) (pow K 2)) U)))
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* 1/24 (/ (* (pow J 2) (pow K 2)) U)))))
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/720 (/ (* (pow J 2) (pow K 2)) U)) (* 1/24 (/ (pow J 2) U)))))))
(- (* -2 (/ (pow J 2) (pow U 2))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2)))))))) 1)
(* -2 (/ (pow J 2) (pow U 2)))
(+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2))))
(+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2))))))
(+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (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)))))))))
(+ (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)))))))))))
(+ (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)))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 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))))))
(+ (* 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))))))))))
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(* -1/2 (/ U J))
(+ (* -1/2 (/ U J)) (* -1/16 (/ (* (pow K 2) U) J)))
(+ (* -1/2 (/ U J)) (* (pow K 2) (+ (* -1/16 (/ U J)) (* 1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))))))
(+ (* -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)))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(cos (* 1/2 K))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(pow (cos (* -1/2 K)) 2)
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -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))))))))
(+ (* -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))))))))
(/ (+ (* 2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (pow U 2)) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
(+ 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)))))))
(+ 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)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 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))
(* 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))
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* 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)))))
(* 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))))))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -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)))
(* -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)))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -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))))))
(* -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
25.0ms
U
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 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)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (neg U)) (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) (* (* (* -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))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* J J) (* U U)) (pow (cos (* -1/2 K)) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* -1/2 K))))
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) (cos (/ K 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)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (neg U)) (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) (* (* (* -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))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* J J) (* U U)) (pow (cos (* -1/2 K)) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* -1/2 K))))
5.0ms
K
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 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)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (neg U)) (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) (* (* (* -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))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* J J) (* U U)) (pow (cos (* -1/2 K)) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* -1/2 K))))
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) (cos (/ K 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)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (neg U)) (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) (* (* (* -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))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* J J) (* U U)) (pow (cos (* -1/2 K)) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* -1/2 K))))
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) (cos (/ K 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)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (neg U)) (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) (* (* (* -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))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (* J J) (* U U)) (pow (cos (* -1/2 K)) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ (/ (* -1/2 U) J) (cos (* -1/2 K))))

simplify148.0ms (1.6%)

Memory
13.5MiB live, 151.6MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04803222
117333062
080192899
Stop Event
1×iter limit
1×node limit
Counts
94 → 93
Calls
Call 1
Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -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))))))
(+ (* -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))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
U
(+ U (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)))
-1
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 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)
(/ (+ (* 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)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/ (pow J 2) (pow U 2))
(* -1/2 (/ U (* J (cos (* -1/2 K)))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* 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)))))))
(* 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))))))))
(* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U))
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(* (pow J 2) (- (* -2 (/ (pow (cos (* -1/2 K)) 2) (pow U 2))) (/ 1 (pow J 2))))
1
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(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -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)))))))
(* -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))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(+ (* -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)))))))))))))
(+ (* -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))))))))))))))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* -1/2 (/ (* (pow J 2) (pow K 2)) U)))
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* 1/24 (/ (* (pow J 2) (pow K 2)) U)))))
(+ (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))) (* (pow K 2) (+ (* -1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/720 (/ (* (pow J 2) (pow K 2)) U)) (* 1/24 (/ (pow J 2) U)))))))
(- (* -2 (/ (pow J 2) (pow U 2))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2)))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2)))))) 1)
(- (+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2)))))))) 1)
(* -2 (/ (pow J 2) (pow U 2)))
(+ (* -2 (/ (pow J 2) (pow U 2))) (* 1/2 (/ (* (pow J 2) (pow K 2)) (pow U 2))))
(+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) (pow U 2))) (* 1/2 (/ (pow J 2) (pow U 2))))))
(+ (* -2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) (pow U 2))) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) (pow U 2))) (* 1/720 (/ (* (pow J 2) (pow K 2)) (pow U 2))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (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)))))))))
(+ (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)))))))))))
(+ (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)))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 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))))))
(+ (* 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))))))))))
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(* -1/2 (/ U J))
(+ (* -1/2 (/ U J)) (* -1/16 (/ (* (pow K 2) U) J)))
(+ (* -1/2 (/ U J)) (* (pow K 2) (+ (* -1/16 (/ U J)) (* 1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))))))
(+ (* -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)))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(cos (* 1/2 K))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(pow (cos (* -1/2 K)) 2)
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -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))))))))
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(/ (+ (* 2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (pow U 2)) U)
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) (pow U 2))
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(+ 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)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 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))
(* 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))
(* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2)))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* 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)))))
(* 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))))))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -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)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
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(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -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))))))
(* -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
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U))
(+ (* -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))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 3 binary64)))))) (*.f64 J J) (neg.f64 U))
(+ (* -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))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64))) (*.f64 J J) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
U
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-1
#s(literal -1 binary64)
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)
(-.f64 (*.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal 1 binary64))
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(/ (+ (* 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)
(/.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64))) J) J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) (*.f64 J J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(/ (+ (* 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)
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(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J J))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(/ (pow J 2) (pow U 2))
(*.f64 (/.f64 J U) (/.f64 J U))
(* -1/2 (/ U (* J (cos (* -1/2 K)))))
(/.f64 (*.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
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(/.f64 (*.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (neg.f64 U))
(* -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))))))
(*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (neg.f64 U))
(* -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)))))))
(*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (neg.f64 U))

rewrite171.0ms (1.9%)

Memory
-26.0MiB live, 212.8MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050338
078338
1220304
21261296
08300296
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 395
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) #s(approx (cos (/ K 2)) (cos.f64 (*.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)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U))
(-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(/.f64 (*.f64 J J) (*.f64 U U))
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
Outputs
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.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 (*.f64 J #s(literal -2 binary64)) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.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)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.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) (*.f64 J (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(neg.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) J))))
(neg.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) J)) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(fma.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))))
(fma.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64)))))
(+.f64 (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64)))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64)))))
(+.f64 (*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))))
(*.f64 (neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64))) J)
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 2 binary64)) (neg.f64 J))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -2 binary64)) J)
(*.f64 (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))
(*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) J))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(literal -2 binary64))
(*.f64 (neg.f64 J) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) J) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 J (neg.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(neg.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) J)))
(fma.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) J (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (neg.f64 J) (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))))
(fma.f64 J (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(+.f64 (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 J #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))))
(+.f64 (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 (neg.f64 J) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 (neg.f64 J) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 J))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
(/.f64 (neg.f64 (fma.f64 J J (*.f64 (neg.f64 J) J))) (-.f64 J J))
(/.f64 (neg.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64)))) (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))
(/.f64 (fma.f64 J J (*.f64 (neg.f64 J) J)) (neg.f64 (-.f64 J J)))
(/.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))))
(neg.f64 (*.f64 #s(literal 2 binary64) J))
(+.f64 (neg.f64 J) (neg.f64 J))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))))
(sin.f64 (/.f64 (+.f64 K (neg.f64 (PI.f64))) #s(literal -2 binary64)))
(sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))
(-.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 1 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))))
(+.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (*.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 (*.f64 J #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))))
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(/.f64 (+.f64 (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)) (fma.f64 #s(literal -1/2 binary64) K (PI.f64)))) (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)) (fma.f64 #s(literal -1/2 binary64) K (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)) (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))) (cos.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)) (fma.f64 #s(literal 1/2 binary64) K (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)) (fma.f64 #s(literal -1/2 binary64) K (PI.f64)))) (cos.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)) (fma.f64 #s(literal -1/2 binary64) K (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))) (cos.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) K (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) K (PI.f64)))) (cos.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) K (PI.f64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) K))) (sin.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 K #s(literal 0 binary64))) (cos.f64 (*.f64 K #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (*.f64 K #s(literal -1 binary64))) (cos.f64 (*.f64 K #s(literal 0 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))))
(fma.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))))
(-.f64 (/.f64 (cos.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal -1 binary64)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(fabs.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 0 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))))
(+.f64 (/.f64 (sin.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (/.f64 (sin.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))
(+.f64 (/.f64 (sin.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (/.f64 (sin.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (*.f64 K #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 K #s(literal 0 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cos.f64 (*.f64 K #s(literal 0 binary64))) #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 K #s(literal -1 binary64))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) K (PI.f64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/2 binary64) K (PI.f64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K))) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) K)) (sin.f64 (*.f64 #s(literal -1/2 binary64) K))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 J)) (/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (/.f64 U (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 #s(literal -1/2 binary64) J) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (/.f64 (/.f64 U J) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U J) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (/.f64 (neg.f64 U) J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 U J))
(*.f64 (/.f64 U J) (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
(*.f64 U (/.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (neg.f64 (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))))))
(/.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))))
(/.f64 (*.f64 (/.f64 U J) #s(literal -1/2 binary64)) (neg.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))))
(/.f64 (*.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(neg.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))

eval105.0ms (1.1%)

Memory
22.9MiB live, 168.8MiB allocated; 13ms collecting garbage
Compiler

Compiled 29 820 to 2 827 computations (90.5% saved)

prune68.0ms (0.7%)

Memory
-11.2MiB live, 76.5MiB allocated; 7ms collecting garbage
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New58712599
Fresh437
Picked415
Done000
Total59516611
Accuracy
99.9%
Counts
611 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶16.2%
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
49.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
49.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
25.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
70.6%
(*.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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
▶49.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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))) #s(literal 1 binary64)))
▶84.5%
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
▶25.1%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
24.7%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) J (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
48.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
14.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
70.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
37.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
33.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
▶14.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
✓40.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
Compiler

Compiled 1 353 to 883 computations (34.7% saved)

simplify256.0ms (2.8%)

Memory
21.0MiB live, 301.9MiB allocated; 81ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff1
(fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))
cost-diff1
(/.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))))
cost-diff2
(+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64)))
cost-diff6
(fma.f64 J J (*.f64 (neg.f64 J) J))
cost-diff0
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
cost-diff0
(*.f64 #s(literal -2 binary64) J)
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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))) #s(literal 1 binary64)))
cost-diff0
(fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))
cost-diff0
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J)))
cost-diff0
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
cost-diff2
(fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J))
cost-diff0
(neg.f64 U)
cost-diff0
#s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64))
cost-diff0
(*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
cost-diff0
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
cost-diff0
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
cost-diff0
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64)))
cost-diff0
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073619
0112599
1245569
2762562
33318562
08158557
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64)))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(*.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
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
(*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U))
#s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 U)
U
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))
(*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K)
(fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J))
#s(literal -1/192 binary64)
(*.f64 (*.f64 K K) J)
(*.f64 K K)
K
J
(*.f64 #s(literal 1/4 binary64) J)
#s(literal 1/4 binary64)
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 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
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))))
(+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64)))
(pow.f64 J #s(literal 3 binary64))
J
#s(literal 3 binary64)
(neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))
(fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))
(fma.f64 J J (*.f64 (neg.f64 J) J))
(*.f64 (neg.f64 J) J)
(neg.f64 J)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #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 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.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)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(asinh.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
U
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#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
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal -2 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64))))
(*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (neg.f64 U) #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)))
#s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 U)
U
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K J) (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K J) (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K (*.f64 #s(literal -2 binary64) J)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))
(fma.f64 (*.f64 (*.f64 K J) (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K (*.f64 #s(literal -2 binary64) J))
(*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K)
(*.f64 (*.f64 K J) (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)))
(fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) J)
#s(literal -1/192 binary64)
(*.f64 (*.f64 K K) J)
(*.f64 K K)
K
J
(*.f64 #s(literal 1/4 binary64) J)
#s(literal 1/4 binary64)
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal -2 binary64)) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.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
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 J J))
(*.f64 (/.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal -2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J J)))
(/.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))))
(/.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 J J))
(+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64)))
(*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 J #s(literal 3 binary64))
J
#s(literal 3 binary64)
(neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))
(*.f64 (neg.f64 J) J)
(fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))
(*.f64 J J)
(fma.f64 J J (*.f64 (neg.f64 J) J))
#s(literal 0 binary64)
(*.f64 (neg.f64 J) J)
(neg.f64 J)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#s(literal 1 binary64)

localize584.0ms (6.4%)

Memory
37.3MiB live, 593.5MiB allocated; 162ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy7.5783194334182085
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy32.10025438206347
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy43.27922211941774
(/.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))))
accuracy44.55493190409745
(fma.f64 J J (*.f64 (neg.f64 J) J))
accuracy0.0
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy0.11328125
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
accuracy7.5783194334182085
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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))) #s(literal 1 binary64)))
accuracy32.10025438206347
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy7.5783194334182085
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy9.058667013791574
(*.f64 (*.f64 K K) J)
accuracy32.10025438206347
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy32.55727698419061
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J)))
accuracy0.0
(neg.f64 U)
accuracy3.1109320849799484
(*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U))
accuracy29.677090424833846
#s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64))
accuracy54.665793148189394
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
accuracy0.1328125
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
accuracy2.1941620271786824
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
accuracy7.608503396090683
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64)))
accuracy7.834204391950663
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Samples
483.0ms184×1valid
38.0ms72×0valid
Compiler

Compiled 515 to 65 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 408.0ms
adjust: 99.0ms (24.3% of total)
ival-mult: 93.0ms (22.8% of total)
ival-cos: 91.0ms (22.3% of total)
ival-div: 76.0ms (18.6% of total)
ival-add: 11.0ms (2.7% of total)
ival-pow2: 8.0ms (2% of total)
ival-cosh: 6.0ms (1.5% of total)
const: 6.0ms (1.5% of total)
ival-asinh: 4.0ms (1% of total)
ival-neg: 4.0ms (1% of total)
ival-sqrt: 3.0ms (0.7% of total)
ival-pow: 3.0ms (0.7% of total)
ival-sub: 2.0ms (0.5% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series275.0ms (3%)

Memory
-23.7MiB live, 492.8MiB allocated; 63ms collecting garbage
Counts
23 → 206
Calls
Call 1
Inputs
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64)))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
(*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U))
#s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64))
(neg.f64 U)
(fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 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(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 J J (*.f64 (neg.f64 J) J))
(+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))))
(fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(*.f64 (*.f64 K K) J)
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
Outputs
(* -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)))))))))
(* 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))))))))))))
(* 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)))))))))))))))))
(* 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)))))))))))))))))))))
(* -1 (* J (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))))
(* J (+ (* -1 (* (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 (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))
(* J (+ (* -1 (+ (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 (* (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 (- (/ (* (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))))))))))))
(* J (+ (* -1 (+ (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 (- (/ (* (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 (* (pow J 2) (- (* (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (+ (* 1/720 (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (pow U 2))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (pow U 6)))))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/24 (/ (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4)))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (* (pow U 4) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))) (pow U 2))) (+ (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* 1/24 (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* 1/2 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (+ (* 1/720 (/ (+ (* 240 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (+ (* 720 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))) (* 1440 (/ (pow (cos (* 1/2 K)) 6) (pow U 6))))) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))) (+ (* 1/24 (/ (* (pow (cos (* 1/2 K)) 2) (+ (* -24 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))) (* -12 (/ (pow (cos (* 1/2 K)) 4) (pow U 4))))) (* (pow U 2) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J))))))) (* 1/6 (/ (pow (cos (* 1/2 K)) 6) (* (pow U 6) (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))))))))) (* -1 (- (* (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 (+ (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))) (/ 1 (exp (+ (log (/ U (cos (* 1/2 K)))) (* -1 (log J)))))))
(+ (* 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))))))))
(+ (* 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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(+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))
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(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -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)))
(* -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)))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -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))))))
(* -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)))))))
(/ (* (pow J 2) U) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))
(* -1 (* U (+ (* -2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 2)) (* (pow U 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (* -1 (/ (pow J 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))))
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Calls

9 calls:

TimeVariablePointExpression
66.0ms
K
@-inf
((* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (cos (/ K -2))) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (neg U)) (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (neg U) (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* (* (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) K) K) (* -2 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (+ (* J J) (* (neg J) J)) (+ (pow J 3) (pow J 3)) (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (+ (* J J) (+ (* J J) (* (neg J) J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* K K) J) (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
61.0ms
K
@inf
((* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (cos (/ K -2))) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (neg U)) (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (neg U) (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* (* (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) K) K) (* -2 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (+ (* J J) (* (neg J) J)) (+ (pow J 3) (pow J 3)) (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (+ (* J J) (+ (* J J) (* (neg J) J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* K K) J) (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
33.0ms
K
@0
((* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (cos (/ K -2))) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (neg U)) (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (neg U) (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* (* (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) K) K) (* -2 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (+ (* J J) (* (neg J) J)) (+ (pow J 3) (pow J 3)) (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (+ (* J J) (+ (* J J) (* (neg J) J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* K K) J) (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
20.0ms
J
@0
((* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (cos (/ K -2))) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (neg U)) (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (neg U) (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* (* (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) K) K) (* -2 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (+ (* J J) (* (neg J) J)) (+ (pow J 3) (pow J 3)) (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (+ (* J J) (+ (* J J) (* (neg J) J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* K K) J) (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
18.0ms
J
@-inf
((* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (cos (/ K -2))) (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (asinh (/ (/ U (* 2 J)) (cos (/ K 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (neg U)) (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) (neg U) (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (+ (* (* (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) K) K) (* -2 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (+ (* J J) (* (neg J) J)) (+ (pow J 3) (pow J 3)) (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (+ (* J J) (+ (* J J) (* (neg J) J))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* K K) J) (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))

simplify259.0ms (2.8%)

Memory
46.2MiB live, 330.6MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144630650
1568829506
0806227732
Stop Event
1×iter limit
1×node limit
Counts
206 → 205
Calls
Call 1
Inputs
(* -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)))))))))
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(* -1 U)
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U
(+ U (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)))
-1
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1)
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(* J (- (* (pow K 2) (+ 1/4 (* -1/192 (pow K 2)))) 2))
(* -2 J)
0
(* 2 (pow J 3))
(pow J 2)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 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)
(/ (+ (* 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)
(* J (pow K 2))
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1
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(+ (log (* J (cos (* 1/2 K)))) (log (/ -1 U)))
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2)))))
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4))))))
(+ (log (* J (cos (* 1/2 K)))) (+ (log (/ -1 U)) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (+ (* 1/720 (/ (+ (* -720 (+ (* 4 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* -240 (* (pow J 6) (pow (cos (* 1/2 K)) 6))) (* 1440 (* (pow J 6) (pow (cos (* 1/2 K)) 6))))) (pow U 6))) (* 1/24 (/ (+ (* -12 (* (pow J 4) (pow (cos (* 1/2 K)) 4))) (* 48 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (pow U 4)))))))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -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)))
(* -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)))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -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))))))
(* -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)))))))
(/ (* (pow J 2) U) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))
(* -1 (* U (+ (* -2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 2)) (* (pow U 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (* -1 (/ (pow J 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 2)) (* (pow U 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (+ (* -1 (/ (pow J 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 4)) (* (pow U 4) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 8) (pow (cos (* 1/2 K)) 6)) (* (pow U 6) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (+ (* -2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 2)) (* (pow U 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (+ (* -1 (/ (pow J 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 4)) (* (pow U 4) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))))))))
Outputs
(* -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)))))))))
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(* 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))))))))))))
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(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (/ (* (cos (* -1/2 K)) (+ (* -1/2 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))))) (cos (* 1/2 K)))) (* -1/2 (/ (* U (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) (cos (* 1/2 K)))))) (pow J 3)))))
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(* J (- (+ (* -1/2 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))))) (* (pow J 3) (cos (* 1/2 K))))) (+ (* -1/2 (/ (* U (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) (* (pow J 3) (cos (* 1/2 K))))) (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) 2))
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(* J (- (+ (* -1 (/ (* (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) (pow J 4))) (+ (* -1/2 (/ (* U (+ (* -1/2 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))))) (cos (* 1/2 K)))) (+ (* -1/2 (/ (* U (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) (cos (* 1/2 K)))) (+ (* 1/48 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (+ (* 1/6 (+ (* -3/8 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (* 1/4 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))))) (* 1/4 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) (cos (* 1/2 K))))))))) (* (pow J 4) (cos (* 1/2 K))))) (+ (* -1/2 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))))) (* (pow J 3) (cos (* 1/2 K))))) (+ (* -1/2 (/ (* U (+ (* 1/48 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (+ (* 1/6 (+ (* -3/8 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))) (* 1/4 (/ (pow U 3) (pow (cos (* 1/2 K)) 3))))) (* 1/4 (/ (* U (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) (cos (* 1/2 K))))))) (* (pow J 4) (cos (* 1/2 K))))) (+ (* -1/2 (/ (* U (+ (* 1/8 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/2 (+ (* -1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))))) (* (pow J 3) (cos (* 1/2 K))))) (* -1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))) 2))
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(*.f64 (neg.f64 U) (fma.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 J J) #s(literal 1 binary64)) (*.f64 U U)))) #s(literal -2 binary64) (fma.f64 (*.f64 (pow.f64 J #s(literal 6 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 J J) #s(literal 1 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 J J) (*.f64 J J)) #s(literal -1 binary64)))))
(* -1 (* U (+ (* -4 (/ (* (pow J 8) (pow (cos (* 1/2 K)) 6)) (* (pow U 6) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (+ (* -2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 2)) (* (pow U 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (+ (* -1 (/ (pow J 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 4)) (* (pow U 4) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))))))))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (pow.f64 J #s(literal 8 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 J J) #s(literal 1 binary64)) (pow.f64 U #s(literal 6 binary64))))) #s(literal -4 binary64) (fma.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 J J) #s(literal 1 binary64)) (*.f64 U U)))) #s(literal -2 binary64) (fma.f64 (*.f64 (pow.f64 J #s(literal 6 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 J J) #s(literal 1 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 J J) (*.f64 J J)) #s(literal -1 binary64))))))

rewrite145.0ms (1.6%)

Memory
1.5MiB live, 187.1MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073433
0112405
1371314
22684308
09048304
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 301
Calls
Call 1
Inputs
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64)))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
(*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U))
#s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64))
(neg.f64 U)
(fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 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(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 J J (*.f64 (neg.f64 J) J))
(+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))))
(fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(*.f64 (*.f64 K K) J)
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) J)) #s(literal -2 binary64))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) #s(literal 0 binary64))
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) J) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 #s(literal 0 binary64) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal -2 binary64)) J)
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) J) #s(literal -2 binary64))
(*.f64 #s(literal 0 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) J))
(*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 0 binary64))
(*.f64 J (*.f64 #s(literal -2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) #s(literal 0 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))) #s(literal 2 binary64))
(pow.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)) (/.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)) (/.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)) (/.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))) #s(literal 4 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) #s(literal 2 binary64))
(cosh.f64 (asinh.f64 (fabs.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.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 #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)) (/.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))
(asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(neg.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (log.f64 (-.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))))
(-.f64 (log.f64 (fma.f64 (/.f64 U #s(literal 0 binary64)) #s(literal 2 binary64) (*.f64 (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))) (log.f64 (*.f64 (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))))
(-.f64 (log.f64 (fma.f64 (/.f64 U #s(literal 0 binary64)) #s(literal 2 binary64) (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))) (log.f64 (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))
(-.f64 (log.f64 (fma.f64 U #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))) (log.f64 (*.f64 (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))))
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(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 J) J) J) J) (/.f64 (neg.f64 J) (+.f64 J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) J) (/.f64 (neg.f64 J) (-.f64 J #s(literal 0 binary64))) #s(literal 0 binary64))
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(fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) J) (/.f64 (neg.f64 J) (+.f64 J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) J) (/.f64 J (-.f64 J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) J) (/.f64 J (+.f64 #s(literal 0 binary64) J)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) J) (/.f64 J (+.f64 J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 J) J) J) (/.f64 (*.f64 (neg.f64 J) J) (-.f64 J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 J) J) J) (/.f64 (*.f64 (neg.f64 J) J) (+.f64 #s(literal 0 binary64) J)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 J) J) J) (/.f64 (*.f64 (neg.f64 J) J) (+.f64 J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 J J) J) (/.f64 (*.f64 J J) (-.f64 J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 J J) J) (/.f64 (*.f64 J J) (+.f64 #s(literal 0 binary64) J)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 J J) J) (/.f64 (*.f64 J J) (+.f64 J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 J) J) (/.f64 (*.f64 J (*.f64 (neg.f64 J) J)) (-.f64 J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 J) J) (/.f64 (*.f64 J (*.f64 (neg.f64 J) J)) (+.f64 #s(literal 0 binary64) J)) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 J) J) (/.f64 (*.f64 J (*.f64 (neg.f64 J) J)) (+.f64 J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 J) J) (/.f64 (pow.f64 J #s(literal 3 binary64)) (-.f64 J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 J) J) (/.f64 (pow.f64 J #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) J)) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 J) J) (/.f64 (pow.f64 J #s(literal 3 binary64)) (+.f64 J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 J J) (/.f64 (pow.f64 J #s(literal 3 binary64)) (-.f64 J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 J J) (/.f64 (pow.f64 J #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) J)) #s(literal 0 binary64))
(fma.f64 (/.f64 J J) (/.f64 (pow.f64 J #s(literal 3 binary64)) (+.f64 J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 J #s(literal 9/2 binary64)) (fma.f64 J J #s(literal 0 binary64))) (/.f64 (pow.f64 J #s(literal 3/2 binary64)) (fma.f64 J J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (fma.f64 J J #s(literal 0 binary64))) (/.f64 J (fma.f64 J J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (fma.f64 J J #s(literal 0 binary64)))) (fabs.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (fma.f64 J J #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 J #s(literal 3/2 binary64)) (fma.f64 J J #s(literal 0 binary64))) (/.f64 (pow.f64 J #s(literal 9/2 binary64)) (fma.f64 J J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 J (fma.f64 J J #s(literal 0 binary64))) (/.f64 (pow.f64 J #s(literal 5 binary64)) (fma.f64 J J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 J J) (fma.f64 J J #s(literal 0 binary64))) (/.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 J J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 J J #s(literal 0 binary64))) (/.f64 (*.f64 J J) (fma.f64 J J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 J #s(literal 3 binary64)) (fma.f64 J J #s(literal 0 binary64))) (/.f64 (pow.f64 J #s(literal 3 binary64)) (fma.f64 J J #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 J) (neg.f64 J) #s(literal 0 binary64))
(fma.f64 (neg.f64 J) J #s(literal 0 binary64))
(fma.f64 J (neg.f64 J) #s(literal 0 binary64))
(fma.f64 J J #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 J #s(literal 4 binary64)) #s(literal 0 binary64)))) (/.f64 (pow.f64 J #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 J #s(literal 4 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 J) J) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 J) J) #s(literal 0 binary64))))
(-.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (-.f64 (pow.f64 J #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(-.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 J J #s(literal 0 binary64))) #s(literal 0 binary64))
(-.f64 (fma.f64 J J #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 J) J) #s(literal 0 binary64))))
(-.f64 (fma.f64 J J #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 J #s(literal 6 binary64)) (-.f64 (pow.f64 J #s(literal 4 binary64)) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 J J #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 J) J))
(-.f64 #s(literal 0 binary64) (*.f64 J J))
(-.f64 (*.f64 J J) #s(literal 0 binary64))
(+.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 J) J))))) (/.f64 (pow.f64 J #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 J) J))))))
(+.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (+.f64 (pow.f64 J #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 J) J) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 J #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 J) J) #s(literal 0 binary64))))))
(+.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 J #s(literal 4 binary64)) #s(literal 0 binary64)))) (/.f64 (pow.f64 J #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 J #s(literal 4 binary64)) #s(literal 0 binary64)))))
(+.f64 (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 J) J) #s(literal 0 binary64))) (/.f64 (pow.f64 J #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 J) J) #s(literal 0 binary64))))
(+.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 J) J) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 J) J) #s(literal 0 binary64))))
(+.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 J #s(literal 4 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 J #s(literal 4 binary64)) #s(literal 0 binary64)))))
(+.f64 (/.f64 (pow.f64 J #s(literal 6 binary64)) (-.f64 (pow.f64 J #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(+.f64 (/.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 J J #s(literal 0 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 J #s(literal 6 binary64)) (-.f64 (pow.f64 J #s(literal 4 binary64)) #s(literal 0 binary64))))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 J #s(literal 4 binary64)) (fma.f64 J J #s(literal 0 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 J) J))
(+.f64 #s(literal 0 binary64) (*.f64 J J))
(+.f64 (*.f64 (neg.f64 J) J) #s(literal 0 binary64))
(+.f64 (*.f64 J J) #s(literal 0 binary64))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(*.f64 (*.f64 J (neg.f64 K)) (neg.f64 K))
(*.f64 (*.f64 K J) K)
(*.f64 (neg.f64 K) (*.f64 (neg.f64 K) J))
(*.f64 (*.f64 K K) J)
(*.f64 K (*.f64 K J))
(*.f64 J (*.f64 K K))
(*.f64 (/.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal 0 binary64)) J) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 J #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal 0 binary64)) J) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) J)))
(*.f64 (/.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal 0 binary64)) J) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (+.f64 J #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J) (/.f64 #s(literal 0 binary64) (-.f64 J #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J) (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) J)))
(*.f64 (/.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J) (/.f64 #s(literal 0 binary64) (+.f64 J #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J) (/.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (-.f64 J #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J) (/.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) J)))
(*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J) (/.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (+.f64 J #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 0 binary64) J) (/.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 J #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 0 binary64) J) (/.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) J)))
(*.f64 (/.f64 #s(literal 0 binary64) J) (/.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 J #s(literal 0 binary64))))
(*.f64 (/.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) J) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 J #s(literal 0 binary64))))
(*.f64 (/.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) J) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) J)))
(*.f64 (/.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) J) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 J #s(literal 0 binary64))))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) (/.f64 (*.f64 #s(literal 0 binary64) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) (-.f64 J #s(literal 0 binary64))))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) (/.f64 (*.f64 #s(literal 0 binary64) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) (+.f64 #s(literal 0 binary64) J)))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) (/.f64 (*.f64 #s(literal 0 binary64) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) (+.f64 J #s(literal 0 binary64))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal 0 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(literal 0 binary64) (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal 0 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 J J #s(literal 0 binary64)))
(neg.f64 (*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(literal 0 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))

eval102.0ms (1.1%)

Memory
-11.0MiB live, 177.5MiB allocated; 20ms collecting garbage
Compiler

Compiled 51 934 to 3 238 computations (93.8% saved)

prune26.0ms (0.3%)

Memory
16.2MiB live, 63.4MiB allocated; 1ms collecting garbage
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New53114545
Fresh5510
Picked415
Done011
Total54021561
Accuracy
99.9%
Counts
561 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶16.2%
(*.f64 (*.f64 (/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
49.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
49.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
▶70.6%
(*.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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
70.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
55.4%
(*.f64 (*.f64 #s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))) #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
25.1%
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
▶24.7%
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
2.4%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K) K (*.f64 (neg.f64 J) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
25.1%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
2.8%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
25.0%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) K) K) (* -2 J)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (*.f64 K K)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
50.5%
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
▶13.8%
#s(approx (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))))
48.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
14.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
▶37.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
33.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
✓14.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
✓40.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
49.7%
#s(approx (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (cos (/ K -2))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
Compiler

Compiled 1 861 to 1 195 computations (35.8% saved)

simplify100.0ms (1.1%)

Memory
-17.5MiB live, 124.3MiB allocated; 12ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
cost-diff1
(fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))
cost-diff6
(fma.f64 J J (*.f64 (neg.f64 J) J))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(literal -2 binary64) J)
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
cost-diff0
(neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64))))
cost-diff0
#s(approx (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))))
cost-diff2
(/.f64 (*.f64 J J) #s(literal 1 binary64))
cost-diff8
(*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))
cost-diff0
(*.f64 (*.f64 K K) J)
cost-diff0
#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)))
cost-diff0
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
cost-diff2
(fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))
cost-diff0
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
cost-diff0
(*.f64 #s(literal -2 binary64) J)
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
cost-diff0
(*.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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079650
0123605
1252580
2781552
32961550
08315547
Stop Event
1×iter limit
1×node limit
1×iter limit
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) #s(approx (cos (/ K 2)) (cos.f64 (*.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) #s(approx (cos (/ K 2)) (cos.f64 (*.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) #s(approx (cos (/ K 2)) (cos.f64 (*.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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
U
(*.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)
#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)
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#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)))
(fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 K K) J)
(*.f64 K K)
K
J
#s(literal 1/4 binary64)
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64))))
(*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))
(/.f64 U (*.f64 J J))
U
(*.f64 J J)
J
(/.f64 (*.f64 J J) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))
(/.f64 #s(literal 1/4 binary64) J)
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) J)
(*.f64 U U)
U
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))))
#s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 J #s(literal 3 binary64))
J
#s(literal 3 binary64)
#s(literal 2 binary64)
(neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))
(fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))
(fma.f64 J J (*.f64 (neg.f64 J) J))
(*.f64 (neg.f64 J) J)
(neg.f64 J)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) #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) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) #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 #s(literal 2 binary64) J))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
#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)
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)) #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 (*.f64 #s(literal 1/4 binary64) K) K #s(literal -2 binary64)))))
#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))) (*.f64 J (fma.f64 (*.f64 #s(literal 1/4 binary64) K) K #s(literal -2 binary64))))
(fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))
(*.f64 J (fma.f64 (*.f64 #s(literal 1/4 binary64) K) K #s(literal -2 binary64)))
(*.f64 (*.f64 K K) J)
(*.f64 K K)
K
J
#s(literal 1/4 binary64)
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))))
#s(approx (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64))))
(neg.f64 U)
(*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))
U
(/.f64 U (*.f64 J J))
U
(*.f64 J J)
J
(/.f64 (*.f64 J J) #s(literal 1 binary64))
(*.f64 J J)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal 1/4 binary64) J) #s(literal 1 binary64))
(/.f64 #s(literal 1/4 binary64) J)
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) J)
(*.f64 U U)
U
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (neg.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) (*.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 J J))))
(*.f64 (/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (neg.f64 J) J)) #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))))
(/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))))
(/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 J) J))
#s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 J #s(literal 3 binary64))
J
#s(literal 3 binary64)
#s(literal 2 binary64)
(neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))
(*.f64 (neg.f64 J) J)
(fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))
(*.f64 J J)
(fma.f64 J J (*.f64 (neg.f64 J) J))
#s(literal 0 binary64)
(*.f64 (neg.f64 J) J)
(neg.f64 J)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
#s(literal 1 binary64)

localize293.0ms (3.2%)

Memory
42.4MiB live, 437.7MiB allocated; 85ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy7.5783194334182085
(*.f64 (*.f64 (/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy32.10025438206347
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy43.27922211941774
(/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))))
accuracy44.55493190409745
(fma.f64 J J (*.f64 (neg.f64 J) J))
accuracy5.7341490136721385
(/.f64 (*.f64 U U) J)
accuracy7.5587881834182085
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
accuracy11.020512905015968
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
accuracy23.10590766004277
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
accuracy0.0
(neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64))))
accuracy8.385280601434834
(/.f64 U (*.f64 J J))
accuracy37.99084970502358
#s(approx (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))))
accuracy41.379710743286196
(*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))
accuracy7.5783194334182085
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy9.058667013791574
(*.f64 (*.f64 K K) J)
accuracy32.10025438206347
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy32.79034383227021
#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)))
accuracy0.11328125
(*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
accuracy0.1796875
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
accuracy7.5783194334182085
(*.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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
accuracy10.99567631244307
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))
Samples
202.0ms184×1valid
29.0ms72×0valid
Compiler

Compiled 536 to 54 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-mult: 41.0ms (29.8% of total)
ival-cos: 31.0ms (22.6% of total)
adjust: 20.0ms (14.6% of total)
ival-div: 17.0ms (12.4% of total)
ival-add: 10.0ms (7.3% of total)
ival-sqrt: 5.0ms (3.6% of total)
ival-neg: 5.0ms (3.6% of total)
ival-pow2: 4.0ms (2.9% of total)
ival-pow: 3.0ms (2.2% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series99.0ms (1.1%)

Memory
-25.6MiB live, 172.3MiB allocated; 57ms collecting garbage
Counts
25 → 125
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) #s(approx (cos (/ K 2)) (cos.f64 (*.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(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#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)))
(*.f64 (*.f64 K K) J)
(*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))
(/.f64 (*.f64 J J) #s(literal 1 binary64))
#s(approx (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
(fma.f64 J J (*.f64 (neg.f64 J) J))
(fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))
(*.f64 (*.f64 (/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) 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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(/.f64 U (*.f64 J J))
(/.f64 (*.f64 U U) J)
(/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))))
Outputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -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))))))
(+ (* -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))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* J (- (* 1/4 (pow K 2)) 2))
(* J (pow K 2))
U
(pow J 2)
(+ (* -2 (/ (pow J 2) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))
(+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
0
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 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)
(/ (+ (* 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)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/ U (pow J 2))
(/ (pow U 2) J)
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* 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)))))))
(* 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))))))))
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))
(* 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))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 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))))))
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 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))))))
(+ 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)))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -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)))))))
(* -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))))))))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -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))))))))))))
(+ (* -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)))))))))))))
(+ (* -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))))))))))))))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* -2 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (* J (pow U 2)) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (* J (pow U 2)) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (/ (* (pow J 3) (- (* -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 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (* J (pow U 2)) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (* J (pow U 2)) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (/ (* (pow J 3) (- (* -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 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (* J (pow U 2)) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (/ (* (pow J 3) (- (* -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))))))))) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (* J (pow U 2)) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (/ (* (pow J 3) (- (* -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 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))
(+ (* -2 (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* 1/4 (/ (* (pow J 3) (pow K 2)) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))
(+ (* -2 (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* (pow K 2) (+ (* -1/192 (/ (* (pow J 3) (pow K 2)) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* 1/4 (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))))
(+ (* -2 (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* (pow K 2) (+ (* 1/4 (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* (pow K 2) (+ (* -1/192 (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* 1/23040 (/ (* (pow J 3) (pow K 2)) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (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)))))))))
(+ (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)))))))))))
(+ (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)))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 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))))))
(+ (* 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))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(cos (* 1/2 K))
(* 1/4 (* J (pow K 2)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* -2 (* (/ (* (pow J 3) (cos (* 1/2 K))) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (/ (* (pow J 3) (cos (* 1/2 K))) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -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))))))))
(+ (* -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))))))))
(+ (* -2 (/ (* (pow J 3) (cos (* 1/2 K))) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* -1/4 (/ (* J (pow U 2)) (* (cos (* 1/2 K)) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))))
(+ (* -2 (/ (* (pow J 3) (cos (* 1/2 K))) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* (pow U 2) (+ (* -1/4 (/ J (* (cos (* 1/2 K)) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (* 1/64 (/ (pow U 2) (* J (* (pow (cos (* 1/2 K)) 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))))))
(+ (* -2 (/ (* (pow J 3) (cos (* 1/2 K))) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* (pow U 2) (+ (* -1/4 (/ J (* (cos (* 1/2 K)) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 3) (* (pow (cos (* 1/2 K)) 5) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))) (* 1/64 (/ 1 (* J (* (pow (cos (* 1/2 K)) 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))))))))
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))
(+ (* -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)))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 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))))))
(+ 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)))))))
(+ 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)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 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))
(* 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))
(* -1 (/ (* (pow J 2) U) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))
(* U (+ (* -2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 2)) (* (pow U 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (* -1 (/ (pow J 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))))
(* U (+ (* -2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 2)) (* (pow U 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (+ (* -1 (/ (pow J 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 4)) (* (pow U 4) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))))))
(* U (+ (* -4 (/ (* (pow J 8) (pow (cos (* 1/2 K)) 6)) (* (pow U 6) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (+ (* -2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 2)) (* (pow U 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (+ (* -1 (/ (pow J 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 4)) (* (pow U 4) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))))))
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* 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)))))
(* 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))))))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -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)))
(* -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)))
(/ (* (pow J 2) U) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))
(* -1 (* U (+ (* -2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 2)) (* (pow U 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (* -1 (/ (pow J 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 2)) (* (pow U 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (+ (* -1 (/ (pow J 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 4)) (* (pow U 4) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 8) (pow (cos (* 1/2 K)) 6)) (* (pow U 6) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (+ (* -2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 2)) (* (pow U 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (+ (* -1 (/ (pow J 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 4)) (* (pow U 4) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))))))))
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -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))))))
(* -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
41.0ms
J
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (+ (* (* (* K K) J) 1/4) (* -2 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* (* K K) J) (* (/ U (* J J)) (/ (* J J) 1)) (/ (* J J) 1) (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg (* (/ U (* J J)) (/ (* J J) 1))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (+ (* J J) (* (neg J) J)) (+ (* J J) (+ (* J J) (* (neg J) J))) (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ U (* J J)) (/ (* U U) J) (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))))
17.0ms
J
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (+ (* (* (* K K) J) 1/4) (* -2 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* (* K K) J) (* (/ U (* J J)) (/ (* J J) 1)) (/ (* J J) 1) (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg (* (/ U (* J J)) (/ (* J J) 1))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (+ (* J J) (* (neg J) J)) (+ (* J J) (+ (* J J) (* (neg J) J))) (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ U (* J J)) (/ (* U U) J) (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))))
9.0ms
U
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (+ (* (* (* K K) J) 1/4) (* -2 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* (* K K) J) (* (/ U (* J J)) (/ (* J J) 1)) (/ (* J J) 1) (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg (* (/ U (* J J)) (/ (* J J) 1))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (+ (* J J) (* (neg J) J)) (+ (* J J) (+ (* J J) (* (neg J) J))) (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ U (* J J)) (/ (* U U) J) (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) 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) (cos (/ K 2)) (+ (* (* (* K K) J) 1/4) (* -2 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* (* K K) J) (* (/ U (* J J)) (/ (* J J) 1)) (/ (* J J) 1) (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg (* (/ U (* J J)) (/ (* J J) 1))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (+ (* J J) (* (neg J) J)) (+ (* J J) (+ (* J J) (* (neg J) J))) (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ U (* J J)) (/ (* U U) J) (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))))
4.0ms
U
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (+ (* (* (* K K) J) 1/4) (* -2 J)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* (* K K) J) (* (/ U (* J J)) (/ (* J J) 1)) (/ (* J J) 1) (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg (* (/ U (* J J)) (/ (* J J) 1))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) (+ (* J J) (* (neg J) J)) (+ (* J J) (+ (* J J) (* (neg J) J))) (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/ U (* J J)) (/ (* U U) J) (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))))

simplify238.0ms (2.6%)

Memory
15.4MiB live, 304.7MiB allocated; 93ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06364766
123054486
084224259
Stop Event
1×iter limit
1×node limit
Counts
125 → 124
Calls
Call 1
Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -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))))))
(+ (* -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))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* J (- (* 1/4 (pow K 2)) 2))
(* J (pow K 2))
U
(pow J 2)
(+ (* -2 (/ (pow J 2) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))
(+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
0
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 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)
(/ (+ (* 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)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/ U (pow J 2))
(/ (pow U 2) J)
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* 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)))))))
(* 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))))))))
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))
(* 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))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 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))))))
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 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))))))
(+ 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)))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -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)))))))
(* -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))))))))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (+ (* 1/512 (/ (pow U 6) (pow J 6))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -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))))))))))))
(+ (* -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)))))))))))))
(+ (* -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))))))))))))))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* -2 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (* J (pow U 2)) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (* J (pow U 2)) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (/ (* (pow J 3) (- (* -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 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (* J (pow U 2)) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (* J (pow U 2)) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (/ (* (pow J 3) (- (* -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 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (* J (pow U 2)) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (/ (* (pow J 3) (- (* -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))))))))) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (* J (pow U 2)) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (/ (* (pow J 3) (- (* -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 (pow J 2)) (* 2 (pow J 2)))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))
(+ (* -2 (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* 1/4 (/ (* (pow J 3) (pow K 2)) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))
(+ (* -2 (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* (pow K 2) (+ (* -1/192 (/ (* (pow J 3) (pow K 2)) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* 1/4 (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))))
(+ (* -2 (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* (pow K 2) (+ (* 1/4 (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* (pow K 2) (+ (* -1/192 (/ (pow J 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* 1/23040 (/ (* (pow J 3) (pow K 2)) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (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)))))))))
(+ (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)))))))))))
(+ (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)))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 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))))))
(+ (* 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))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(cos (* 1/2 K))
(* 1/4 (* J (pow K 2)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* -2 (* (/ (* (pow J 3) (cos (* 1/2 K))) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (/ (* (pow J 3) (cos (* 1/2 K))) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -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))))))))
(+ (* -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))))))))
(+ (* -2 (/ (* (pow J 3) (cos (* 1/2 K))) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* -1/4 (/ (* J (pow U 2)) (* (cos (* 1/2 K)) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))))
(+ (* -2 (/ (* (pow J 3) (cos (* 1/2 K))) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* (pow U 2) (+ (* -1/4 (/ J (* (cos (* 1/2 K)) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (* 1/64 (/ (pow U 2) (* J (* (pow (cos (* 1/2 K)) 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))))))
(+ (* -2 (/ (* (pow J 3) (cos (* 1/2 K))) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* (pow U 2) (+ (* -1/4 (/ J (* (cos (* 1/2 K)) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 3) (* (pow (cos (* 1/2 K)) 5) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))) (* 1/64 (/ 1 (* J (* (pow (cos (* 1/2 K)) 3) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))))))))
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))
(+ (* -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)))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 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))))))
(+ 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)))))))
(+ 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)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 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))
(* 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))
(* -1 (/ (* (pow J 2) U) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))
(* U (+ (* -2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 2)) (* (pow U 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (* -1 (/ (pow J 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))))
(* U (+ (* -2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 2)) (* (pow U 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (+ (* -1 (/ (pow J 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 4)) (* (pow U 4) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))))))
(* U (+ (* -4 (/ (* (pow J 8) (pow (cos (* 1/2 K)) 6)) (* (pow U 6) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (+ (* -2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 2)) (* (pow U 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (+ (* -1 (/ (pow J 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 4)) (* (pow U 4) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))))))
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* 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)))))
(* 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))))))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -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)))
(* -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)))
(/ (* (pow J 2) U) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))
(* -1 (* U (+ (* -2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 2)) (* (pow U 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (* -1 (/ (pow J 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 2)) (* (pow U 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (+ (* -1 (/ (pow J 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 4)) (* (pow U 4) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 8) (pow (cos (* 1/2 K)) 6)) (* (pow U 6) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (+ (* -2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 2)) (* (pow U 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))) (+ (* -1 (/ (pow J 2) (+ (* -1 (pow J 2)) (* 2 (pow J 2))))) (* 2 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 4)) (* (pow U 4) (+ (* -1 (pow J 2)) (* 2 (pow J 2)))))))))))
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -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))))))
(* -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
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U))
(+ (* -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))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 (*.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))))) (*.f64 J J) (neg.f64 U))
(+ (* -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))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64))) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64))) (*.f64 J J) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(* J (- (* 1/4 (pow K 2)) 2))
(*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J)
(* J (pow K 2))
(*.f64 (*.f64 K K) J)
U
(pow J 2)
(*.f64 J J)
(+ (* -2 (/ (pow J 2) U)) (* -1 U))
(fma.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal 2 binary64)) (pow.f64 U #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 U #s(literal 3 binary64)))) (*.f64 J J)) (/.f64 #s(literal 2 binary64) U)) (*.f64 J J) (neg.f64 U))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/.f64 (fma.f64 #s(literal 1/2 binary64) U (/.f64 (*.f64 J J) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 J J) (pow.f64 U #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J) (*.f64 #s(literal 1/2 binary64) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
(/.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal 2 binary64)) (pow.f64 U #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 U #s(literal 3 binary64)))) (*.f64 J J) (/.f64 #s(literal 1 binary64) U)) (*.f64 J J) (*.f64 #s(literal 1/2 binary64) U)) J)
0
#s(literal 0 binary64)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/.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)
(/ (+ (* 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)
(/.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 J) J) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) #s(literal 3 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)) (*.f64 J J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J)
(/ (+ (* 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)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 5 binary64))) (*.f64 (*.f64 J J) #s(literal 2 binary64)) (pow.f64 (neg.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)) #s(literal 3 binary64))) (*.f64 J J) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)) (*.f64 J J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(/ U (pow J 2))
(/.f64 U (*.f64 J J))
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))) J)
(* 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)))))))
(*.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 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J J))))) J)
(* 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))))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -1/4 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (/.f64 U J) (/.f64 U J)) (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)
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 2 binary64)) J)
(* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))
(*.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal 1/64 binary64) (-.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) J)) #s(literal 2 binary64))) J)
(* 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))
(*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) #s(literal -1/512 binary64) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) J) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))))) #s(literal 2 binary64)) J)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 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))))))
(+.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/8 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))))
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 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))))))
(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 4 binary64))) #s(literal -1/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 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)))))))
(+.f64 (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 4 binary64))) #s(literal -1/128 binary64) (*.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 6 binary64))) #s(literal 1/1024 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(*.f64 (neg.f64 J) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 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)))))))
(*.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 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 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))))))))
(*.f64 (neg.f64 J) (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 #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 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))))))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(*.f64 (neg.f64 J) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))
(*.f64 (neg.f64 J) (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 2 binary64)))
(* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))
(*.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 J U) (/.f64 J U)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 U))
(* -1/2 (/ U J))
(*.f64 #s(literal -1/2 binary64) (/.f64 U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(*.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))) (neg.f64 U))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) #s(literal 2 binary64) (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)))) (neg.f64 U))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(*.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))) (neg.f64 U))
(* -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))))))
(*.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 J U) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)))) (neg.f64 U))
(* -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)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (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 J U) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))))) (neg.f64 U))

rewrite140.0ms (1.5%)

Memory
-3.2MiB live, 226.6MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079461
0123436
1381310
22751292
08833292
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 423
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) #s(approx (cos (/ K 2)) (cos.f64 (*.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(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#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)))
(*.f64 (*.f64 K K) J)
(*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))
(/.f64 (*.f64 J J) #s(literal 1 binary64))
#s(approx (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))
(fma.f64 J J (*.f64 (neg.f64 J) J))
(fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))
(*.f64 (*.f64 (/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) 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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(/.f64 U (*.f64 J J))
(/.f64 (*.f64 U U) J)
(/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J)))))
Outputs
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) #s(literal -2 binary64)) (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J))
(*.f64 (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(*.f64 (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sin.f64 (acos.f64 (/.f64 (/.f64 U #s(literal 0 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 (*.f64 J #s(literal -2 binary64)) (sin.f64 (acos.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J) (sin.f64 (acos.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(*.f64 (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) J)
(*.f64 (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) J)
(*.f64 (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 0 binary64))
(*.f64 (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J) #s(literal 2 binary64))
(*.f64 (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J) #s(literal -2 binary64))
(*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(*.f64 #s(literal 0 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))) #s(literal 0 binary64))
(*.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) (neg.f64 (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(*.f64 J (*.f64 #s(literal -2 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(*.f64 J (*.f64 #s(literal 2 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(*.f64 #s(literal -2 binary64) (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J))
(neg.f64 (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(fma.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J))
(fma.f64 J #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))) J))
(+.f64 (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J) (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 K K) J) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) #s(literal 2 binary64)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 K K) J) #s(literal 3 binary64)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 K K) J) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) J) #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J) #s(literal 0 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J) #s(literal 0 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 K K) J) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) J) #s(literal -2 binary64))) (*.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 K K) J) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) J) #s(literal -2 binary64))) #s(literal 0 binary64))) (*.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 K K) J) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) J) #s(literal -2 binary64))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 K K) J) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) J) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) #s(literal 2 binary64))) (-.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 K K) J) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J) #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 K K) J) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) J) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 K K) J) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 K K) J) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) J) #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 K K) J) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) J) #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (*.f64 K K) J) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 K K) J) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) J) #s(literal -2 binary64))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) J (*.f64 (neg.f64 J) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 K K)) J (*.f64 J #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) K) (*.f64 K J) (*.f64 (neg.f64 J) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) K) (*.f64 K J) (*.f64 J #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal 1/4 binary64) J) (*.f64 K K) (*.f64 (neg.f64 J) #s(literal 2 binary64)))
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(/.f64 (fabs.f64 (*.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)) (fabs.f64 (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(/.f64 (fabs.f64 (pow.f64 (/.f64 U #s(literal 0 binary64)) #s(literal 2 binary64))) (fabs.f64 (pow.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))))
(/.f64 (fabs.f64 (*.f64 (/.f64 U #s(literal 0 binary64)) (neg.f64 U))) (fabs.f64 (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))))
(/.f64 (fabs.f64 (*.f64 (/.f64 U #s(literal 0 binary64)) U)) (fabs.f64 (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))))
(/.f64 (fabs.f64 (*.f64 (neg.f64 U) (/.f64 U #s(literal 0 binary64)))) (fabs.f64 (*.f64 (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(/.f64 (fabs.f64 (*.f64 U (/.f64 U #s(literal 0 binary64)))) (fabs.f64 (*.f64 (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(/.f64 (*.f64 (/.f64 U #s(literal 0 binary64)) (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(/.f64 (*.f64 (neg.f64 U) (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (*.f64 U (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (*.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (/.f64 U #s(literal 0 binary64))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(/.f64 (*.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (neg.f64 U)) (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (*.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U) (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (pow.f64 (/.f64 U #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 U #s(literal 0 binary64)) (neg.f64 U)) (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(/.f64 (*.f64 (/.f64 U #s(literal 0 binary64)) U) (*.f64 #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(/.f64 (*.f64 (neg.f64 U) (/.f64 U #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (*.f64 U (/.f64 U #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (*.f64 (neg.f64 U) U) (neg.f64 (pow.f64 (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 U) U) (pow.f64 (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)))
(/.f64 (*.f64 U U) (neg.f64 (pow.f64 (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))))
(/.f64 (*.f64 U U) (fabs.f64 (pow.f64 (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))))
(/.f64 (*.f64 U U) (pow.f64 (*.f64 #s(literal 0 binary64) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 U #s(literal 0 binary64)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(*.f64 (/.f64 U (*.f64 (neg.f64 J) J)) #s(literal -1 binary64))
(*.f64 (/.f64 U (*.f64 J J)) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (neg.f64 U) J)) J)
(/.f64 (neg.f64 (neg.f64 (/.f64 U J))) J)
(/.f64 (neg.f64 (neg.f64 (neg.f64 U))) (*.f64 (neg.f64 J) J))
(/.f64 (/.f64 (neg.f64 U) J) (neg.f64 J))
(/.f64 (neg.f64 (/.f64 U J)) (neg.f64 J))
(/.f64 (neg.f64 (neg.f64 U)) (*.f64 J J))
(/.f64 (/.f64 U J) J)
(/.f64 (neg.f64 U) (*.f64 (neg.f64 J) J))
(/.f64 U (*.f64 J J))
(neg.f64 (/.f64 U (*.f64 (neg.f64 J) J)))
(*.f64 (/.f64 U J) U)
(*.f64 (neg.f64 U) (/.f64 (neg.f64 U) J))
(*.f64 U (/.f64 U J))
(/.f64 (*.f64 (neg.f64 U) U) (neg.f64 J))
(/.f64 (*.f64 U U) J)
(neg.f64 (/.f64 (*.f64 (neg.f64 U) U) J))
(fabs.f64 (/.f64 (*.f64 (neg.f64 U) U) J))
(fabs.f64 (/.f64 (*.f64 U U) J))
(*.f64 (/.f64 #s(approx (+ (pow J 3) (pow J 3)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (pow J 3) (pow J 3)) #s(literal 0 binary64))))) #s(literal 0 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (pow J 3) (pow J 3)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(/.f64 (neg.f64 #s(approx (+ (pow J 3) (pow J 3)) #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 #s(approx (+ (pow J 3) (pow J 3)) #s(literal 0 binary64)) #s(literal 0 binary64))
(neg.f64 (/.f64 #s(approx (+ (pow J 3) (pow J 3)) #s(literal 0 binary64)) #s(literal 0 binary64)))

eval70.0ms (0.8%)

Memory
3.0MiB live, 149.3MiB allocated; 19ms collecting garbage
Compiler

Compiled 28 677 to 2 487 computations (91.3% saved)

prune32.0ms (0.3%)

Memory
27.6MiB live, 74.1MiB allocated; 3ms collecting garbage
Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New5466552
Fresh6814
Picked235
Done022
Total55419573
Accuracy
99.9%
Counts
573 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓16.2%
(*.f64 (*.f64 (/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
49.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
49.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
✓70.6%
(*.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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
70.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
55.4%
(*.f64 (*.f64 #s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))) #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
✓24.7%
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
24.8%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (-.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) J) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
25.0%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) K) K) (* -2 J)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (*.f64 K K)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
24.7%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (* K K) J) 1/4) (* -2 J)) (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
2.6%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (* K K) J) 1/4) (* -2 J)) (*.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
50.5%
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
14.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
40.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
27.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))))
✓14.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
✓40.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
27.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))))
49.7%
#s(approx (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (cos (/ K -2))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
Compiler

Compiled 2 846 to 890 computations (68.7% saved)

regimes84.0ms (0.9%)

Memory
-14.6MiB live, 126.3MiB allocated; 24ms collecting garbage
Counts
45 → 3
Calls
Call 1
Inputs
#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 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (* K K) J) 1/4) (* -2 J)) (*.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (* K K) J) 1/4) (* -2 J)) (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (-.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) J) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) J (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) K) K) (* -2 J)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (*.f64 K K)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K) K (*.f64 (neg.f64 J) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (cos (/ K -2))) (*.f64 (*.f64 #s(literal -2 binary64) 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(*.f64 (*.f64 (/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))) #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))) (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 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 #s(approx (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) J)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(approx (cos (/ K 2)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (neg.f64 (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) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64))))))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Outputs
#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 #s(literal 2 binary64) J) #s(approx (cos (/ K 2)) (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 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

6 calls:

16.0ms
J
16.0ms
U
15.0ms
(/.f64 K #s(literal 2 binary64))
11.0ms
K
11.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
84.5%1(/.f64 K #s(literal 2 binary64))
84.5%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
99.9%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
87.9%2J
84.5%1K
87.5%2U
Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes97.0ms (1.1%)

Memory
2.0MiB live, 91.3MiB allocated; 12ms collecting garbage
Counts
34 → 3
Calls
Call 1
Inputs
#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 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (* K K) J) 1/4) (* -2 J)) (*.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (* K K) J) 1/4) (* -2 J)) (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (-.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) J) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) J (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) K) K) (* -2 J)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (*.f64 K K)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K) K (*.f64 (neg.f64 J) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (cos (/ K -2))) (*.f64 (*.f64 #s(literal -2 binary64) 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(*.f64 (*.f64 (/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))) #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))) (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 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 #s(approx (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (*.f64 (+.f64 (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 U J) #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))) #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

6 calls:

47.0ms
J
12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
9.0ms
K
9.0ms
U
9.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
63.7%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
60.4%3(/.f64 K #s(literal 2 binary64))
60.4%3K
72.4%2U
72.1%3J
85.4%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes10.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (* K K) J) 1/4) (* -2 J)) (*.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (* K K) J) 1/4) (* -2 J)) (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (-.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) J) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) J (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) K) K) (* -2 J)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (*.f64 K K)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K) K (*.f64 (neg.f64 J) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (cos (/ K -2))) (*.f64 (*.f64 #s(literal -2 binary64) 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 J U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(*.f64 (*.f64 (/.f64 #s(approx (+ (pow J 3) (pow J 3)) (*.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 J J (fma.f64 J J (*.f64 (neg.f64 J) J))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

1 calls:

8.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
85.2%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes108.0ms (1.2%)

Memory
-40.0MiB live, 25.2MiB allocated; 138ms collecting garbage
Counts
24 → 5
Calls
Call 1
Inputs
#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 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (* K K) J) 1/4) (* -2 J)) (*.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (* K K) J) 1/4) (* -2 J)) (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (-.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) J) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) J (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) K) K) (* -2 J)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (*.f64 K K)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K) K (*.f64 (neg.f64 J) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (cos (/ K -2))) (*.f64 (*.f64 #s(literal -2 binary64) 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (cos (/ K -2))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
#s(approx (* (* (cosh (asinh (/ (/ U (* 2 J)) (cos (/ K 2))))) (* J -2)) (cos (/ K -2))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 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
86.1%5(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated; 0ms collecting garbage
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (* K K) J) 1/4) (* -2 J)) (*.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (* K K) J) 1/4) (* -2 J)) (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (-.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) J) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) J (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) K) K) (* -2 J)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (*.f64 K K)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K) K (*.f64 (neg.f64 J) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (*.f64 (/.f64 U J) U) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 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
74.9%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)

regimes23.0ms (0.3%)

Memory
-20.3MiB live, 31.6MiB allocated; 15ms collecting garbage
Counts
19 → 4
Calls
Call 1
Inputs
#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 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (* K K) J) 1/4) (* -2 J)) (*.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (* K K) J) 1/4) (* -2 J)) (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (-.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) J) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) J (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) K) K) (* -2 J)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (*.f64 K K)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K) K (*.f64 (neg.f64 J) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 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)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

2 calls:

17.0ms
U
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
55.7%2U
74.0%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 25 to 20 computations (20% saved)

regimes11.0ms (0.1%)

Memory
28.3MiB live, 28.3MiB allocated; 0ms collecting garbage
Counts
18 → 4
Calls
Call 1
Inputs
#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 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (* K K) J) 1/4) (* -2 J)) (*.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (* K K) J) 1/4) (* -2 J)) (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (-.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) J) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) J (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) K) K) (* -2 J)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (*.f64 K K)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K) K (*.f64 (neg.f64 J) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 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)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

2 calls:

5.0ms
J
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
54.6%2J
70.9%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 25 to 20 computations (20% saved)

regimes14.0ms (0.1%)

Memory
-9.3MiB live, 35.8MiB allocated; 5ms collecting garbage
Counts
17 → 4
Calls
Call 1
Inputs
#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 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (* K K) J) 1/4) (* -2 J)) (*.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (* K K) J) 1/4) (* -2 J)) (*.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (-.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) J) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 K K) #s(literal 1/4 binary64)) J (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* -2 J) (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal -2 binary64) J))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 K K) (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) #s(approx (+ (* (* (+ (* -1/192 (* (* K K) J)) (* 1/4 J)) K) K) (* -2 J)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64)) (*.f64 K K)) #s(literal 2 binary64)) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (/ (+ (pow J 3) (pow J 3)) (neg (+ (* J J) (+ (* J J) (* (neg J) J))))) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 J J) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/192 binary64) #s(literal 1/4 binary64))) K) K (*.f64 (neg.f64 J) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #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 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

2 calls:

8.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
5.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
53.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
63.8%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 28 to 23 computations (17.9% saved)

regimes11.0ms (0.1%)

Memory
-16.0MiB live, 27.9MiB allocated; 6ms 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)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (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)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

5 calls:

6.0ms
J
1.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms
K
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
U
Results
AccuracySegmentsBranch
40.6%1J
40.6%1U
40.6%1(/.f64 K #s(literal 2 binary64))
40.6%1K
53.9%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 31 computations (-3.3% saved)

regimes5.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
Calls

4 calls:

1.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms
K
Results
AccuracySegmentsBranch
40.6%1(/.f64 K #s(literal 2 binary64))
40.6%1K
40.6%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
40.6%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 32 to 31 computations (3.1% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.515856441415765e+267
1.9386648809888165e+289
0.0ms
-inf
-4.655967964766791e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.515856441415765e+267
1.9386648809888165e+289
0.0ms
-inf
-4.655967964766791e+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
2.515856441415765e+267
1.9386648809888165e+289
0.0ms
-inf
-4.655967964766791e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
2.515856441415765e+267
1.9386648809888165e+289
0.0ms
-2.8665790526011943e-218
-1.0911326258096533e-223
0.0ms
-2.552296453014667e+145
-3.403637287311272e+144
0.0ms
-inf
-4.655967964766791e+304
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-1.182538562234673e-272
9.159919581090993e-169
0.0ms
-2.033537029761049e+293
-7.400184310904819e+287
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
-1.182538562234673e-272
9.159919581090993e-169
0.0ms
-4.6246862918874294e+165
-1.604639198479344e+162
0.0ms
-2.033537029761049e+293
-7.400184310904819e+287
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
-1.182538562234673e-272
9.159919581090993e-169
0.0ms
-1.32638881968037e-84
-4.073155669697476e-95
0.0ms
-2.033537029761049e+293
-7.400184310904819e+287
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
-1.182538562234673e-272
9.159919581090993e-169
0.0ms
-1.6457690060472858e+32
-5.951013346340295e+28
0.0ms
-2.033537029761049e+293
-7.400184310904819e+287
Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch0.0ms (0%)

Memory
1.6MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.182538562234673e-272
9.159919581090993e-169
Compiler

Compiled 27 to 23 computations (14.8% saved)

simplify61.0ms (0.7%)

Memory
-9.8MiB live, 88.4MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01481782
12281782
25231782
321711782
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 4999999999999999867191124270801136529387592805614118752968562959935729820122223283470222022384343445075745838114981545950829122920115734705091748696545677316240613067296570535370196459057846646098244244537715020989452560938972349481852103967665817467117364460325437440 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) #s(approx (cos (/ K 2)) (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 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U)))))
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(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -199999999999999984924696874707920970120897867915847050405221309697980696558932154585003938846536810050657940462325091296687310550613357744883467580356118956661470790120934939455989945801060127957611687906204227736000759240738169004268617951010459111545827258847272611683204755172652495528787968 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -100000000000000005366162204393472 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ 1/4 J) (/ (* U U) J)) 1)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -6090821257124999/609082125712499942522086399242199269429764178599687970429244153575809293172901631404100941617625641201581557264463041761466198116575193377911124206019540838720704856247279564366924353468128353022049974592451148679605349870337179684109147725966810350801733675194017346692614286874494631936 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (- (* (* (pow (cos (* -1/2 K)) 2) (/ (* J J) (* U U))) -2) 1) #s(literal -1 binary64)) (neg.f64 U))))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
Outputs
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derivations957.0ms (10.5%)

Memory
-0.6MiB live, 984.0MiB allocated; 181ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050338
078338
1220304
21261296
08300296
04803222
117333062
080192899
0144630650
1568829506
0806227732
03602498
112872382
260012373
083412242
06364766
123054486
084224259
079461
0123436
1381310
22751292
08833292
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 1 782 to 153 computations (91.4% saved)

preprocess204.0ms (2.2%)

Memory
12.8MiB live, 239.1MiB allocated; 66ms collecting garbage
Remove

(abs K)

Compiler

Compiled 5 242 to 1 020 computations (80.5% saved)

end0.0ms (0%)

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

Profiling

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