Maksimov and Kolovsky, Equation (3)

Time bar (total: 12.0s)

analyze323.0ms (2.7%)

Memory
4.1MiB live, 455.7MiB allocated
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)

sample1.7s (14%)

Memory
-55.8MiB live, 2 473.8MiB allocated
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 860.0ms
ival-mult: 325.0ms (37.8% of total)
ival-cos: 180.0ms (20.9% of total)
ival-div: 128.0ms (14.9% of total)
ival-pow2: 82.0ms (9.5% of total)
ival-sqrt: 68.0ms (7.9% of total)
ival-add: 58.0ms (6.7% of total)
exact: 12.0ms (1.4% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess111.0ms (0.9%)

Memory
-19.3MiB live, 103.5MiB allocated
Algorithm
2×egg-herbie
Rules
1 012×neg-mul-1
1 002×distribute-lft-neg-in
852×*-lowering-*.f32
852×*-lowering-*.f64
840×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075246
1192240
2627240
32281240
44124240
56814240
01724
13324
27624
320224
460024
5113324
6154124
7160324
8162024
9163124
10163324
11163324
12163324
0163324
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
Outputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
Call 2
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2))))
(* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2))))
(neg (* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2)))))
(neg (* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2)))))
(neg (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2)))))
(* (* (* -2 K) (cos (/ J 2))) (sqrt (+ 1 (pow (/ U (* (* 2 K) (cos (/ J 2)))) 2))))
(* (* (* -2 U) (cos (/ K 2))) (sqrt (+ 1 (pow (/ J (* (* 2 U) (cos (/ K 2)))) 2))))
(* (* (* -2 J) (cos (/ U 2))) (sqrt (+ 1 (pow (/ K (* (* 2 J) (cos (/ U 2)))) 2))))
Outputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2))))
(* (* (cos (/ K 2)) (* J 2)) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(neg (* (* (* -2 (neg J)) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 (neg J)) (cos (/ K 2)))) 2)))))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(neg (* (* (* -2 J) (cos (/ (neg K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ (neg K) 2)))) 2)))))
(* (* (cos (/ K 2)) (* J 2)) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(neg (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ (neg U) (* (* 2 J) (cos (/ K 2)))) 2)))))
(* (* (cos (/ K 2)) (* J 2)) (sqrt (+ 1 (pow (/ (* U (/ 1/2 J)) (cos (/ K 2))) 2))))
(* (* (* -2 K) (cos (/ J 2))) (sqrt (+ 1 (pow (/ U (* (* 2 K) (cos (/ J 2)))) 2))))
(* (* (* -2 K) (cos (/ J 2))) (sqrt (+ 1 (pow (/ (/ (* U 1/2) K) (cos (/ J 2))) 2))))
(* (* (* -2 U) (cos (/ K 2))) (sqrt (+ 1 (pow (/ J (* (* 2 U) (cos (/ K 2)))) 2))))
(* (* (cos (/ K 2)) (* -2 U)) (sqrt (+ 1 (pow (/ J (* (cos (/ K 2)) (* 2 U))) 2))))
(* (* (* -2 J) (cos (/ U 2))) (sqrt (+ 1 (pow (/ K (* (* 2 J) (cos (/ U 2)))) 2))))
(* (* (* -2 J) (cos (* U 1/2))) (sqrt (+ 1 (pow (/ K (* (* J 2) (cos (* U 1/2)))) 2))))
Symmetry

(abs K)

(abs U)

(negabs J)

explain226.0ms (1.9%)

Memory
23.4MiB live, 424.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
400-0-(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))))
300-0-(*.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)
0127(3.2374380544261483e-278 1.38387433593388e+34 4.160491724746103e-140)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)))sensitivity1271
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-rescue400
↳(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))))overflow30
↳(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))overflow30
↳(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))overflow70
↳(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))overflow70
*.f64(*.f64 (*.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*o300
Confusion
Predicted +Predicted -
+700
-9393
Precision
0.4294478527607362
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7000
-93192
Precision?
0.4268292682926829
Recall?
1.0
Freqs
test
numberfreq
093
1129
234
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
72.0ms512×0valid
Compiler

Compiled 278 to 72 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-cos: 16.0ms (32.3% of total)
ival-mult: 14.0ms (28.2% of total)
ival-div: 7.0ms (14.1% of total)
ival-pow2: 5.0ms (10.1% of total)
ival-sqrt: 4.0ms (8.1% of total)
ival-add: 2.0ms (4% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

simplify52.0ms (0.4%)

Memory
-26.3MiB live, 50.4MiB allocated
Algorithm
1×egg-herbie
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)))))
Rules
852×*-lowering-*.f32
852×*-lowering-*.f64
782×associate-*r/
758×/-lowering-/.f32
758×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017110
133110
276110
3202110
4600110
51133110
61541110
71603110
81620110
91631110
101633110
111633110
121633110
01633110
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
(+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
1
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
(/ U (* (* 2 J) (cos (/ K 2))))
U
(* (* 2 J) (cos (/ K 2)))
(* 2 J)
Outputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(* (* -2 J) (cos (/ K 2)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))))
(+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
(pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(/ U (* (* 2 J) (cos (/ K 2))))
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
U
(* (* 2 J) (cos (/ K 2)))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))
(* 2 J)
(*.f64 J #s(literal 2 binary64))

localize58.0ms (0.5%)

Memory
32.0MiB live, 112.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.6%
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓accuracy88.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓accuracy85.4%
(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
33.0ms256×0valid
Compiler

Compiled 112 to 19 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 7.0ms (33% of total)
ival-cos: 5.0ms (23.6% of total)
ival-div: 3.0ms (14.1% of total)
ival-sqrt: 2.0ms (9.4% of total)
ival-pow2: 2.0ms (9.4% of total)
ival-add: 1.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series41.0ms (0.3%)

Memory
5.2MiB live, 43.9MiB allocated
Counts
6 → 156
Calls
Call 1
Inputs
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (* -2 J)>
#<alt (cos (/ K 2))>
#<alt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))>
#<alt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)>
Outputs
#<alt (* -1 U)>
#<alt (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -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))))))))))))>
#<alt (+ (* -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)))))))))))))>
#<alt (+ (* -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))))))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (+ (* -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))))))))>
#<alt (+ (* -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))))))))>
#<alt (* -1 U)>
#<alt (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))>
#<alt (* 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))>
#<alt (* 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))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))>
#<alt (* -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)))>
#<alt (* -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)))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 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)))))))>
#<alt (+ 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)))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 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))))))>
#<alt (+ 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)))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 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))))))>
#<alt (+ 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)))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))>
#<alt (+ (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)))))))))>
#<alt (+ (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)))))))))))>
#<alt (+ (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)))))))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
Calls

39 calls:

TimeVariablePointExpression
13.0ms
K
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
4.0ms
K
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
3.0ms
J
@0
(* -2 J)
2.0ms
K
@-inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
2.0ms
J
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))

rewrite319.0ms (2.7%)

Memory
-17.7MiB live, 488.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 552×*-lowering-*.f32
3 552×*-lowering-*.f64
3 418×accelerator-lowering-fma.f32
3 418×accelerator-lowering-fma.f64
2 050×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01766
16866
242066
3434866
0811366
Stop Event
1×iter limit
1×node limit
Counts
6 → 306
Calls
Call 1
Inputs
(* (* (* -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)
Outputs
(neg.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))))))
(neg.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (+.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))) #s(literal -1 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))) U)))))
(/.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 4 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (*.f64 #s(literal -2 binary64) J))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (+.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))) #s(literal -1 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))) U)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 4 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) J))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (*.f64 #s(literal -2 binary64) J))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
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(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 U J))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) U) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 U (*.f64 #s(literal -2 binary64) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 U (*.f64 #s(literal -2 binary64) J)))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)) (/.f64 (-.f64 #s(literal 0 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) J) (/.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) J))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (-.f64 #s(literal 0 binary64) U) J))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))) U)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) U) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) J))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 U (*.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 #s(literal -2 binary64) J))) (-.f64 #s(literal 0 binary64) U))
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(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) U))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 U)))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))))))

simplify972.0ms (8.1%)

Memory
22.2MiB live, 970.9MiB allocated
Algorithm
1×egg-herbie
Rules
19 354×accelerator-lowering-fma.f32
19 354×accelerator-lowering-fma.f64
6 716×*-lowering-*.f32
6 716×*-lowering-*.f64
4 982×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03603717
111533609
245143477
084993319
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
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))))
(* 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 (* J (cos (* 1/2 K))))
(* -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 (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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (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))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -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 U)
(* 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 (* 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)))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(+ (* -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))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
1
(+ 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)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 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)))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 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))))))
(* -1/2 (/ 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)))))))
(* 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
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
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1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
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(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)))))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 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))))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
Outputs
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) 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))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U))))))) 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))))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U) (*.f64 J (*.f64 J (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (*.f64 U (*.f64 U U)))))))) U)
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (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))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(*.f64 J (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (*.f64 #s(literal -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))))) (+ (* -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 J (+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/512 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 5 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)))))))
(-.f64 #s(literal 0 binary64) (*.f64 J (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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))))))))
(-.f64 #s(literal 0 binary64) (*.f64 J (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 (/.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 J J) (*.f64 J J))) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (/.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) #s(literal 1/512 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.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 #s(literal -2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) (*.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))))
(+ (* -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)))))))))))))
(*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (*.f64 (*.f64 K K) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal 1/384 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (+.f64 (/.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 U U)) J) (*.f64 #s(literal 1/2 binary64) (*.f64 J (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))))))))) (*.f64 K K)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) (*.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J 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))))))))))))))))
(+.f64 (*.f64 K (*.f64 K (*.f64 (*.f64 K K) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal 1/384 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))))) (/.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 U U)) J))) (*.f64 (*.f64 K K) (+.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 J #s(literal -1/46080 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))) (+.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) J) (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))))) (+.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1/12288 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) J) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -17/2880 binary64))) (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) (/.f64 (*.f64 U U) (*.f64 J J))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) #s(literal -1/32 binary64))))))))))))))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))) (*.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))

eval120.0ms (1%)

Memory
-24.2MiB live, 98.4MiB allocated
Compiler

Compiled 16 648 to 1 820 computations (89.1% saved)

prune129.0ms (1.1%)

Memory
-23.1MiB live, 92.3MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New47010480
Fresh000
Picked101
Done000
Total47110481
Accuracy
99.9%
Counts
481 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶39.1%
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
41.1%
(-.f64 #s(literal 0 binary64) U)
52.9%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
41.5%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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)))))
▶71.3%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (*.f64 #s(literal -2 binary64) J)))))))
40.8%
(*.f64 (*.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)))))
31.4%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
▶53.6%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
▶48.6%
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
▶10.4%
U
Compiler

Compiled 438 to 286 computations (34.7% saved)

simplify310.0ms (2.6%)

Memory
1.7MiB live, 284.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓cost-diff0
(+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
✓cost-diff128
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
✓cost-diff0
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
✓cost-diff0
(*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)))
✓cost-diff0
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) K)
✓cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓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) (/.f64 U (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (*.f64 #s(literal -2 binary64) J)))))))
✓cost-diff64
(neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (*.f64 #s(literal -2 binary64) J)))
✓cost-diff256
(*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))
✓cost-diff256
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))
Rules
4 702×*-lowering-*.f32
4 702×*-lowering-*.f64
3 348×accelerator-lowering-fma.f32
3 348×accelerator-lowering-fma.f64
2 024×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041408
1111403
2364369
31614335
45550333
08104327
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ U (neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J)))))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ 1 (/ U (neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J))))))
(+ 1 (/ U (neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J)))))
1
(/ U (neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J))))
U
(neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J)))
(* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J))
(* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))
(+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))
1/2
(* 1/2 (cos (* 2 (/ K 2))))
(cos (* 2 (/ K 2)))
(* 2 (/ K 2))
(/ (* J 2) U)
(* J 2)
U
(* (cos (* 1/2 K)) (* -2 J))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* -2 J)
-2
J
(- (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J))) U)
(* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J)))
(/ (pow (cos (* 1/2 K)) 2) U)
(pow (cos (* 1/2 K)) 2)
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
2
U
(* -2 (* J J))
-2
(* J J)
J
(* J (+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))))
J
(+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K)))))
(* -2 (cos (* 1/2 K)))
-2
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))
(* -1/4 (* U U))
-1/4
(* U U)
U
(* (* J J) (cos (* 1/2 K)))
(* J J)
Outputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ U (neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))) U)) (*.f64 J #s(literal 2 binary64))))))
(* (* -2 J) (cos (/ K 2)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(sqrt (+ 1 (/ U (neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))) U)) (*.f64 J #s(literal 2 binary64)))))
(+ 1 (/ U (neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J)))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (/.f64 (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))) U)) (*.f64 J #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(/ U (neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J))))
(/.f64 (/.f64 U (/.f64 (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))) U)) (*.f64 J #s(literal 2 binary64)))
U
(neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J)))
(*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) U) (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))))
(* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))) U))
(* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))
(/.f64 (*.f64 J (+.f64 #s(literal 1 binary64) (cos.f64 K))) U)
(+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K)))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 (/ K 2))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(cos (* 2 (/ K 2)))
(cos.f64 K)
(* 2 (/ K 2))
K
(/ (* J 2) U)
(/.f64 (*.f64 J #s(literal 2 binary64)) U)
(* J 2)
(*.f64 J #s(literal 2 binary64))
U
(* (cos (* 1/2 K)) (* -2 J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(- (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J))) U)
(-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U)) U)
(* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J)))
(*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U))
(/ (pow (cos (* 1/2 K)) 2) U)
(/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U)
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
2
#s(literal 2 binary64)
U
(* -2 (* J J))
(*.f64 #s(literal -2 binary64) (*.f64 J J))
-2
#s(literal -2 binary64)
(* J J)
(*.f64 J J)
J
(* J (+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
J
(+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K)))))
(+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 U (/.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -2 (cos (* 1/2 K)))
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
-2
#s(literal -2 binary64)
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
(/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))
(/.f64 (*.f64 U (/.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (* U U))
(*.f64 U (*.f64 U #s(literal -1/4 binary64)))
-1/4
#s(literal -1/4 binary64)
(* U U)
(*.f64 U U)
U
(* (* J J) (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))
(* J J)
(*.f64 J J)

localize209.0ms (1.7%)

Memory
1.5MiB live, 196.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
✓accuracy99.9%
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓accuracy94.0%
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
✓accuracy76.6%
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (*.f64 J J))
✓accuracy99.8%
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
✓accuracy99.6%
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
✓accuracy88.2%
(*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) K)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓accuracy99.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
✓accuracy99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64))))))
✓accuracy95.0%
(/.f64 U (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (*.f64 #s(literal -2 binary64) J))))
✓accuracy88.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (*.f64 #s(literal -2 binary64) J)))))))
✓accuracy85.4%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (*.f64 #s(literal -2 binary64) J))))))
Samples
123.0ms256×0valid
Compiler

Compiled 414 to 43 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 67.0ms (67.5% of total)
ival-cos: 15.0ms (15.1% of total)
ival-div: 8.0ms (8.1% of total)
ival-add: 3.0ms (3% of total)
ival-sqrt: 2.0ms (2% of total)
ival-pow2: 2.0ms (2% of total)
ival-sub: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series85.0ms (0.7%)

Memory
6.6MiB live, 87.7MiB allocated
Counts
22 → 540
Calls
Call 1
Inputs
#<alt (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))>
#<alt (* 2 (/ K 2))>
#<alt (neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J)))>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ U (neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J)))))))>
#<alt (* (cos (* 1/2 K)) (* -2 J))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (* -2 J)>
#<alt (- (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J))) U)>
#<alt (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J)))>
#<alt (/ (pow (cos (* 1/2 K)) 2) U)>
#<alt (pow (cos (* 1/2 K)) 2)>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K)))))>
#<alt (* -2 (cos (* 1/2 K)))>
#<alt (sqrt (+ 1 (/ U (neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J))))))>
#<alt (/ U (neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J))))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))>
#<alt (* -2 (* J J))>
#<alt (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))>
#<alt (* (* J J) (cos (* 1/2 K)))>
#<alt (* -1/4 (* U U))>
Outputs
#<alt (* 2 (/ J U))>
#<alt (+ (* -1/2 (/ (* J (pow K 2)) U)) (* 2 (/ J U)))>
#<alt (+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* 1/24 (/ (* J (pow K 2)) U)))))>
#<alt (+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* (pow K 2) (+ (* -1/720 (/ (* J (pow K 2)) U)) (* 1/24 (/ J U)))))))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
#<alt (* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))>
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#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -2 (pow J 2))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* -1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))))>
#<alt (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2)))))))))>
#<alt (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (pow J 2)>
#<alt (+ (* -1/8 (* (pow J 2) (pow K 2))) (pow J 2))>
#<alt (+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* 1/384 (* (pow J 2) (pow K 2))))) (pow J 2))>
#<alt (+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* (pow K 2) (+ (* -1/46080 (* (pow J 2) (pow K 2))) (* 1/384 (pow J 2)))))) (pow J 2))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
Calls

135 calls:

TimeVariablePointExpression
9.0ms
K
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ U (neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J)))))))
9.0ms
J
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ U (neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J)))))))
2.0ms
K
@-inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ U (neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J)))))))
2.0ms
J
@0
(* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))
2.0ms
K
@-inf
(* J (+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))))

rewrite522.0ms (4.3%)

Memory
10.3MiB live, 759.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 888×accelerator-lowering-fma.f32
5 888×accelerator-lowering-fma.f64
5 652×*-lowering-*.f32
5 652×*-lowering-*.f64
5 416×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041276
1208250
21649244
08599242
Stop Event
1×iter limit
1×node limit
Counts
22 → 765
Calls
Call 1
Inputs
(* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U))
(* 2 (/ K 2))
(neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J)))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ U (neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J)))))))
(* (cos (* 1/2 K)) (* -2 J))
(cos (* 1/2 K))
(* 1/2 K)
(* -2 J)
(- (* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J))) U)
(* (/ (pow (cos (* 1/2 K)) 2) U) (* -2 (* J J)))
(/ (pow (cos (* 1/2 K)) 2) U)
(pow (cos (* 1/2 K)) 2)
(* J (+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K)))))
(* -2 (cos (* 1/2 K)))
(sqrt (+ 1 (/ U (neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J))))))
(/ U (neg (* (* (+ 1/2 (* 1/2 (cos (* 2 (/ K 2))))) (/ (* J 2) U)) (* -2 J))))
(+ 1/2 (* 1/2 (cos (* 2 (/ K 2)))))
(* -2 (* J J))
(/ (* -1/4 (* U U)) (* (* J J) (cos (* 1/2 K))))
(* (* J J) (cos (* 1/2 K)))
(* -1/4 (* U U))
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) J) U)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) J) U)))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))) (/.f64 U (*.f64 #s(literal 2 binary64) J))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) J) U)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) J) U)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (/.f64 U (*.f64 #s(literal 2 binary64) J)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))) (neg.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))) U)
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) J)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) U))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (/.f64 U (*.f64 #s(literal 2 binary64) J))))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 3 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) U)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64)))))))) (*.f64 #s(literal 2 binary64) J)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) U))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (/.f64 U (*.f64 #s(literal 2 binary64) J))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64)))))))) (*.f64 J #s(literal -2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) U)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 3 binary64)))) (*.f64 U (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1 binary64))))))))) (*.f64 U (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))))))
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(*.f64 (pow.f64 (/.f64 J (*.f64 U U)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 J (*.f64 U #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 U #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 J J) U) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 J J) (*.f64 U #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) U) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (neg.f64 (*.f64 J J))))
(*.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 U J))
(*.f64 (/.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 J J))) (/.f64 (neg.f64 (*.f64 U U)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (neg.f64 (*.f64 U U)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 J J))))
(*.f64 (/.f64 #s(literal -1/4 binary64) (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (neg.f64 (*.f64 U U)) (*.f64 J J)))
(*.f64 (/.f64 (neg.f64 (*.f64 U U)) (*.f64 J J)) (/.f64 #s(literal -1/4 binary64) (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal -1/4 binary64) (neg.f64 J)) (/.f64 (neg.f64 (*.f64 U U)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 U U) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J J))))
(*.f64 (/.f64 (*.f64 U U) (neg.f64 (*.f64 J J))) (/.f64 #s(literal 1/4 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U U) (neg.f64 (*.f64 J J))))
(*.f64 (/.f64 (*.f64 U U) (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (*.f64 U U) (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 U U) (neg.f64 J)) (/.f64 #s(literal 1/4 binary64) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) (neg.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal -1 binary64) J) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (neg.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) U) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J J))))
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (neg.f64 (*.f64 J J))) (/.f64 (-.f64 #s(literal 0 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (-.f64 #s(literal 0 binary64) U) (*.f64 J J)))
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (neg.f64 J)) (/.f64 (-.f64 #s(literal 0 binary64) U) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (neg.f64 (*.f64 U U)) J) (/.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (/.f64 (neg.f64 (*.f64 U U)) #s(literal -1 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J J))))
(*.f64 (/.f64 (neg.f64 (*.f64 U #s(literal -1/4 binary64))) J) (/.f64 U (neg.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (/.f64 (neg.f64 (*.f64 U #s(literal -1/4 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 U (neg.f64 (*.f64 J J))))
(*.f64 (/.f64 (neg.f64 (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J)) (/.f64 U (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (neg.f64 (*.f64 U #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J J))))
(*.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 U U) (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 J J)) (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (*.f64 U U) (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 J J)) (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 U (*.f64 J J)) (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) J) (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 (*.f64 U U) J) (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 (*.f64 U U) J) (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal -1/4 binary64) J) (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (/.f64 U J) (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(exp.f64 (+.f64 (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (log.f64 J) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 J) #s(literal 2 binary64)) (log.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 J (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J J))
(*.f64 (*.f64 J J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) J)
(*.f64 U (*.f64 U #s(literal -1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(*.f64 (*.f64 U #s(literal -1/4 binary64)) U)

simplify826.0ms (6.9%)

Memory
30.6MiB live, 1 058.7MiB allocated
Algorithm
1×egg-herbie
Rules
11 826×accelerator-lowering-fma.f32
11 826×accelerator-lowering-fma.f64
8 700×*-lowering-*.f32
8 700×*-lowering-*.f64
3 430×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06339696
120999493
279919493
080128966
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
Calls
Call 1
Inputs
(* 2 (/ J U))
(+ (* -1/2 (/ (* J (pow K 2)) U)) (* 2 (/ J U)))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* 1/24 (/ (* J (pow K 2)) U)))))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* (pow K 2) (+ (* -1/720 (/ (* J (pow K 2)) U)) (* 1/24 (/ J U)))))))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
K
K
K
K
K
K
K
K
K
K
K
K
(* 4 (/ (pow J 2) U))
(- (* -1 (/ (* (pow J 2) (pow K 2)) U)) (* -4 (/ (pow J 2) U)))
(- (* (pow K 2) (- (* 1/12 (/ (* (pow J 2) (pow K 2)) U)) (/ (pow J 2) U))) (* -4 (/ (pow J 2) U)))
(- (* (pow K 2) (- (* (pow K 2) (- (* -1/360 (/ (* (pow J 2) (pow K 2)) U)) (* -1/12 (/ (pow J 2) U)))) (/ (pow J 2) U))) (* -4 (/ (pow J 2) U)))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* 4 (/ (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))) U))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos 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 (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
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(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
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(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 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))))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
1
(+ 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 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -2 (pow J 2))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
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(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
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(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (pow J 2)))
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(+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2)))))))))
(+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(pow J 2)
(+ (* -1/8 (* (pow J 2) (pow K 2))) (pow J 2))
(+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* 1/384 (* (pow J 2) (pow K 2))))) (pow J 2))
(+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* (pow K 2) (+ (* -1/46080 (* (pow J 2) (pow K 2))) (* 1/384 (pow J 2)))))) (pow J 2))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
Outputs
(* 2 (/ J U))
(/.f64 (*.f64 #s(literal 2 binary64) J) U)
(+ (* -1/2 (/ (* J (pow K 2)) U)) (* 2 (/ J U)))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 J (*.f64 K K)) U)))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* 1/24 (/ (* J (pow K 2)) U)))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 (*.f64 K K) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) J) U) (*.f64 (/.f64 (*.f64 J (*.f64 K K)) U) #s(literal 1/24 binary64)))))
(+ (* 2 (/ J U)) (* (pow K 2) (+ (* -1/2 (/ J U)) (* (pow K 2) (+ (* -1/720 (/ (* J (pow K 2)) U)) (* 1/24 (/ J U)))))))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 (*.f64 K K) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) J) U) (*.f64 (*.f64 K K) (+.f64 (*.f64 J (*.f64 (/.f64 (*.f64 K K) U) #s(literal -1/720 binary64))) (*.f64 (/.f64 J U) #s(literal 1/24 binary64)))))))
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) U)
(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
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(* 2 (/ (* J (+ 1/2 (* 1/2 (cos K)))) U))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))))) U)
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(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))
(+ (* -1/4 (/ (pow U 2) (pow J 2))) (* -1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))))
(+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J)) (*.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) (*.f64 J J))))
(+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2)))))))))
(+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J)) (*.f64 (*.f64 K K) (+.f64 (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -5/1536 binary64))))))
(+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))))
(+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J)) (*.f64 (*.f64 K K) (+.f64 (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) (*.f64 J J)) (*.f64 (*.f64 K K) (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -5/1536 binary64)) (*.f64 K (*.f64 K (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -5/3072 binary64)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 7/23040 binary64)))))))))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(pow J 2)
(*.f64 J J)
(+ (* -1/8 (* (pow J 2) (pow K 2))) (pow J 2))
(+.f64 (*.f64 J J) (*.f64 (*.f64 J (*.f64 J (*.f64 K K))) #s(literal -1/8 binary64)))
(+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* 1/384 (* (pow J 2) (pow K 2))))) (pow J 2))
(+.f64 (*.f64 J J) (*.f64 (*.f64 K K) (+.f64 (*.f64 J (*.f64 J #s(literal -1/8 binary64))) (*.f64 K (*.f64 K (*.f64 (*.f64 J J) #s(literal 1/384 binary64)))))))
(+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* (pow K 2) (+ (* -1/46080 (* (pow J 2) (pow K 2))) (* 1/384 (pow J 2)))))) (pow J 2))
(+.f64 (*.f64 J J) (*.f64 (*.f64 K K) (+.f64 (*.f64 J (*.f64 J #s(literal -1/8 binary64))) (*.f64 (*.f64 K K) (+.f64 (*.f64 (*.f64 K K) (*.f64 (*.f64 J J) #s(literal -1/46080 binary64))) (*.f64 (*.f64 J J) #s(literal 1/384 binary64)))))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(* -1/4 (pow U 2))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))

eval226.0ms (1.9%)

Memory
-19.7MiB live, 537.4MiB allocated
Compiler

Compiled 44 347 to 4 465 computations (89.9% saved)

prune165.0ms (1.4%)

Memory
2.2MiB live, 448.8MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1 483131 496
Fresh325
Picked325
Done000
Total1 489171 506
Accuracy
100.0%
Counts
1 506 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.7%
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
46.6%
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 4 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))) J) (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J J)))))
39.1%
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
41.9%
(-.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) U) (*.f64 J #s(literal -2 binary64))) J) U)
41.1%
(-.f64 #s(literal 0 binary64) U)
▶52.9%
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
▶26.5%
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
37.2%
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J))
26.4%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
▶65.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal -2 binary64) J)))))))
▶31.4%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
✓53.6%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
46.6%
(*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J J)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 4 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))))))
48.1%
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
24.6%
(*.f64 J (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
▶28.2%
(*.f64 J #s(literal -2 binary64))
✓10.4%
U
Compiler

Compiled 735 to 458 computations (37.7% saved)

simplify200.0ms (1.7%)

Memory
25.2MiB live, 340.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 K #s(literal 1/2 binary64))
✓cost-diff0
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
✓cost-diff0
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
✓cost-diff0
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))
✓cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
✓cost-diff0
(*.f64 (*.f64 K K) #s(literal 1/4 binary64))
✓cost-diff0
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))
✓cost-diff0
(*.f64 J #s(literal -2 binary64))
✓cost-diff128
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
✓cost-diff0
(*.f64 J #s(literal -2 binary64))
✓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) (/.f64 U (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal -2 binary64) J)))))))
✓cost-diff64
(neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal -2 binary64) J)))
✓cost-diff128
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal -2 binary64) J))
Rules
3 064×*-lowering-*.f32
3 064×*-lowering-*.f64
2 474×accelerator-lowering-fma.f32
2 474×accelerator-lowering-fma.f64
1 840×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040300
1104292
2289274
3809274
42575274
54845274
67257274
08103266
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ U (neg (* (/ (* 2 J) U) (* -2 J)))))))
(* (* -2 J) (cos (/ K 2)))
(* -2 J)
-2
J
(cos (/ K 2))
(/ K 2)
K
2
(sqrt (+ 1 (/ U (neg (* (/ (* 2 J) U) (* -2 J))))))
(+ 1 (/ U (neg (* (/ (* 2 J) U) (* -2 J)))))
1
(/ U (neg (* (/ (* 2 J) U) (* -2 J))))
U
(neg (* (/ (* 2 J) U) (* -2 J)))
(* (/ (* 2 J) U) (* -2 J))
(/ (* 2 J) U)
(* 2 J)
(* J -2)
J
-2
(+ (* J -2) (* J (* (* K K) 1/4)))
(* J -2)
J
-2
(* J (* (* K K) 1/4))
(* (* K K) 1/4)
(* K K)
K
1/4
(* (sqrt (+ 1 (/ (* (* U U) 1/4) (* J J)))) (* -2 J))
(sqrt (+ 1 (/ (* (* U U) 1/4) (* J J))))
(+ 1 (/ (* (* U U) 1/4) (* J J)))
1
(/ (* (* U U) 1/4) (* J J))
(* (* U U) 1/4)
(* U U)
U
1/4
(* J J)
J
(* -2 J)
-2
(+ (* (cos (* K 1/2)) (* J -2)) (/ (* -1/4 (/ (* U U) J)) (cos (* K 1/2))))
(* (cos (* K 1/2)) (* J -2))
(cos (* K 1/2))
(* K 1/2)
K
1/2
(* J -2)
J
-2
(/ (* -1/4 (/ (* U U) J)) (cos (* K 1/2)))
(* -1/4 (/ (* U U) J))
-1/4
(/ (* U U) J)
(* U U)
U
Outputs
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ U (neg (* (/ (* 2 J) U) (* -2 J)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 4 binary64) U)))))))
(* (* -2 J) (cos (/ K 2)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
J
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
(sqrt (+ 1 (/ U (neg (* (/ (* 2 J) U) (* -2 J))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 4 binary64) U))))))
(+ 1 (/ U (neg (* (/ (* 2 J) U) (* -2 J)))))
(+.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 4 binary64) U)))))
1
#s(literal 1 binary64)
(/ U (neg (* (/ (* 2 J) U) (* -2 J))))
(/.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 4 binary64) U))))
U
(neg (* (/ (* 2 J) U) (* -2 J)))
(*.f64 J (*.f64 J (/.f64 #s(literal 4 binary64) U)))
(* (/ (* 2 J) U) (* -2 J))
(*.f64 J (*.f64 J (/.f64 #s(literal -4 binary64) U)))
(/ (* 2 J) U)
(/.f64 (*.f64 J #s(literal 2 binary64)) U)
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(* J -2)
(*.f64 #s(literal -2 binary64) J)
J
-2
#s(literal -2 binary64)
(+ (* J -2) (* J (* (* K K) 1/4)))
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))))
(* J -2)
(*.f64 #s(literal -2 binary64) J)
J
-2
#s(literal -2 binary64)
(* J (* (* K K) 1/4))
(*.f64 (*.f64 K K) (*.f64 J #s(literal 1/4 binary64)))
(* (* K K) 1/4)
(*.f64 K (*.f64 K #s(literal 1/4 binary64)))
(* K K)
(*.f64 K K)
K
1/4
#s(literal 1/4 binary64)
(* (sqrt (+ 1 (/ (* (* U U) 1/4) (* J J)))) (* -2 J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 4 binary64) U)))))))
(sqrt (+ 1 (/ (* (* U U) 1/4) (* J J))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 4 binary64) U))))))
(+ 1 (/ (* (* U U) 1/4) (* J J)))
(+.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 4 binary64) U)))))
1
#s(literal 1 binary64)
(/ (* (* U U) 1/4) (* J J))
(/.f64 U (*.f64 J (*.f64 J (/.f64 #s(literal 4 binary64) U))))
(* (* U U) 1/4)
(*.f64 #s(literal 1/4 binary64) (*.f64 U U))
(* U U)
(*.f64 U U)
U
1/4
#s(literal 1/4 binary64)
(* J J)
(*.f64 J J)
J
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
-2
#s(literal -2 binary64)
(+ (* (cos (* K 1/2)) (* J -2)) (/ (* -1/4 (/ (* U U) J)) (cos (* K 1/2))))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (/.f64 U (*.f64 J (/.f64 #s(literal -4 binary64) U))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* (cos (* K 1/2)) (* J -2))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos (* K 1/2))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* K 1/2)
(*.f64 K #s(literal 1/2 binary64))
K
1/2
#s(literal 1/2 binary64)
(* J -2)
(*.f64 #s(literal -2 binary64) J)
J
-2
#s(literal -2 binary64)
(/ (* -1/4 (/ (* U U) J)) (cos (* K 1/2)))
(/.f64 (/.f64 U (*.f64 J (/.f64 #s(literal -4 binary64) U))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1/4 (/ (* U U) J))
(/.f64 U (*.f64 J (/.f64 #s(literal -4 binary64) U)))
-1/4
#s(literal -1/4 binary64)
(/ (* U U) J)
(/.f64 U (/.f64 J U))
(* U U)
(*.f64 U U)
U

localize146.0ms (1.2%)

Memory
3.2MiB live, 401.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
✓accuracy99.8%
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
✓accuracy99.7%
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))
✓accuracy90.6%
(/.f64 (*.f64 U U) J)
✓accuracy100.0%
(*.f64 (*.f64 U U) #s(literal 1/4 binary64))
✓accuracy88.9%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
✓accuracy85.4%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))))
✓accuracy76.8%
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J))
✓accuracy100.0%
(*.f64 J #s(literal -2 binary64))
✓accuracy100.0%
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
✓accuracy100.0%
(*.f64 (*.f64 K K) #s(literal 1/4 binary64))
✓accuracy87.3%
(*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64)))
✓accuracy100.0%
(*.f64 J #s(literal -2 binary64))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy95.0%
(/.f64 U (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal -2 binary64) J))))
✓accuracy88.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal -2 binary64) J)))))))
✓accuracy85.4%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal -2 binary64) J))))))
Samples
87.0ms256×0valid
Compiler

Compiled 295 to 42 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 29.0ms (47.6% of total)
ival-div: 11.0ms (18.1% of total)
ival-cos: 10.0ms (16.4% of total)
ival-add: 5.0ms (8.2% of total)
ival-sqrt: 3.0ms (4.9% of total)
exact: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series58.0ms (0.5%)

Memory
-7.6MiB live, 150.3MiB allocated
Counts
22 → 504
Calls
Call 1
Inputs
#<alt (* (/ (* 2 J) U) (* -2 J))>
#<alt (neg (* (/ (* 2 J) U) (* -2 J)))>
#<alt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ U (neg (* (/ (* 2 J) U) (* -2 J)))))))>
#<alt (* (* -2 J) (cos (/ K 2)))>
#<alt (* J -2)>
#<alt (+ (* J -2) (* J (* (* K K) 1/4)))>
#<alt (* J (* (* K K) 1/4))>
#<alt (* (* K K) 1/4)>
#<alt (* (sqrt (+ 1 (/ (* (* U U) 1/4) (* J J)))) (* -2 J))>
#<alt (sqrt (+ 1 (/ (* (* U U) 1/4) (* J J))))>
#<alt (+ 1 (/ (* (* U U) 1/4) (* J J)))>
#<alt (/ (* (* U U) 1/4) (* J J))>
#<alt (+ (* (cos (* K 1/2)) (* J -2)) (/ (* -1/4 (/ (* U U) J)) (cos (* K 1/2))))>
#<alt (* (cos (* K 1/2)) (* J -2))>
#<alt (cos (* K 1/2))>
#<alt (* K 1/2)>
#<alt (sqrt (+ 1 (/ U (neg (* (/ (* 2 J) U) (* -2 J))))))>
#<alt (/ U (neg (* (/ (* 2 J) U) (* -2 J))))>
#<alt (* (* U U) 1/4)>
#<alt (/ (* U U) J)>
#<alt (* -1/4 (/ (* U U) J))>
#<alt (/ (* -1/4 (/ (* U U) J)) (cos (* K 1/2)))>
Outputs
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* -4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* 4 (/ (pow J 2) U))>
#<alt (* -1 (* U (cos (* 1/2 K))))>
#<alt (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))>
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))>
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))>
#<alt (* -1 (* U (cos (* 1/2 K))))>
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))>
#<alt (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))>
#<alt (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))>
#<alt (* U (cos (* 1/2 K)))>
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))>
#<alt (* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))>
#<alt (* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* -1 (* J (+ 2 (* -1/4 (pow K 2)))))>
#<alt (* -1 (* J (+ 2 (* -1/4 (pow K 2)))))>
#<alt (* -1 (* J (+ 2 (* -1/4 (pow K 2)))))>
#<alt (* -1 (* J (+ 2 (* -1/4 (pow K 2)))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))>
#<alt (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))>
#<alt (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))>
#<alt (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))>
#<alt (* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (* J (pow K 2)))>
#<alt (* 1/4 (pow K 2))>
#<alt (* 1/4 (pow K 2))>
#<alt (* 1/4 (pow K 2))>
#<alt (* 1/4 (pow K 2))>
#<alt (* 1/4 (pow K 2))>
#<alt (* 1/4 (pow K 2))>
#<alt (* 1/4 (pow K 2))>
#<alt (* 1/4 (pow K 2))>
#<alt (* 1/4 (pow K 2))>
#<alt (* 1/4 (pow K 2))>
#<alt (* 1/4 (pow K 2))>
#<alt (* 1/4 (pow K 2))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))>
#<alt (+ (* -2 J) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (pow J 3))) (* 1/4 (/ 1 J)))))>
#<alt (+ (* -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)))))>
#<alt (* -1 U)>
#<alt (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))>
#<alt (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1))>
#<alt (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))>
#<alt (* -1 (* U (- (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4)))) 1)))>
#<alt (* -1 (* U (- (+ (* -4 (/ (pow J 6) (pow U 6))) (+ (* -2 (/ (pow J 2) (pow U 2))) (* 2 (/ (pow J 4) (pow U 4))))) 1)))>
#<alt (* -1 U)>
#<alt (+ (* -2 (/ (pow J 2) U)) (* -1 U))>
#<alt (+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))>
#<alt (+ (* -1 U) (* (pow J 2) (- (* (pow J 2) (+ (* -4 (/ (pow J 2) (pow U 5))) (* 2 (/ 1 (pow U 3))))) (* 2 (/ 1 U)))))>
#<alt (* -2 J)>
#<alt (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))>
#<alt (* J (- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* 1/64 (/ (pow U 4) (pow J 4)))) 2))>
#<alt (* 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))>
#<alt (* -2 J)>
#<alt (* -1 (* J (+ 2 (* 1/4 (/ (pow U 2) (pow J 2))))))>
#<alt (* -1 (* J (+ 2 (+ (* -1/64 (/ (pow U 4) (pow J 4))) (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -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))))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (+ 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))))))>
#<alt (* 1/2 (/ U J))>
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#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)>
#<alt 1>
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#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 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))))))>
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#<alt 1>
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#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
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#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
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#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
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#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))>
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#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
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#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
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#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
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#<alt (* -2 (* J (cos (* 1/2 K))))>
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#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
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#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
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#<alt (* -2 (* J (cos (* 1/2 K))))>
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#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt 1>
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#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (+ 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))))))>
#<alt (* 1/2 (/ U J))>
#<alt (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1/2 (/ U J))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))>
#<alt (* 1/2 (/ U J))>
#<alt (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 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))))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (pow U 2))>
#<alt (* 1/4 (pow U 2))>
#<alt (* 1/4 (pow U 2))>
#<alt (* 1/4 (pow U 2))>
#<alt (* 1/4 (pow U 2))>
#<alt (* 1/4 (pow U 2))>
#<alt (* 1/4 (pow U 2))>
#<alt (* 1/4 (pow U 2))>
#<alt (* 1/4 (pow U 2))>
#<alt (* 1/4 (pow U 2))>
#<alt (* 1/4 (pow U 2))>
#<alt (* 1/4 (pow U 2))>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (/ (pow U 2) J)>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))>
#<alt (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))>
#<alt (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
Calls

126 calls:

TimeVariablePointExpression
16.0ms
J
@inf
(+ (* J -2) (* J (* (* K K) 1/4)))
2.0ms
J
@-inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ U (neg (* (/ (* 2 J) U) (* -2 J)))))))
2.0ms
J
@inf
(* (/ (* 2 J) U) (* -2 J))
2.0ms
U
@0
(* -1/4 (/ (* U U) J))
1.0ms
K
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ U (neg (* (/ (* 2 J) U) (* -2 J)))))))

rewrite381.0ms (3.2%)

Memory
0.4MiB live, 805.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 262×*-lowering-*.f32
5 262×*-lowering-*.f64
4 554×/-lowering-/.f32
4 554×/-lowering-/.f64
3 088×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040215
1205208
21547202
08372197
Stop Event
1×iter limit
1×node limit
Counts
22 → 461
Calls
Call 1
Inputs
(* (/ (* 2 J) U) (* -2 J))
(neg (* (/ (* 2 J) U) (* -2 J)))
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ U (neg (* (/ (* 2 J) U) (* -2 J)))))))
(* (* -2 J) (cos (/ K 2)))
(* J -2)
(+ (* J -2) (* J (* (* K K) 1/4)))
(* J (* (* K K) 1/4))
(* (* K K) 1/4)
(* (sqrt (+ 1 (/ (* (* U U) 1/4) (* J J)))) (* -2 J))
(sqrt (+ 1 (/ (* (* U U) 1/4) (* J J))))
(+ 1 (/ (* (* U U) 1/4) (* J J)))
(/ (* (* U U) 1/4) (* J J))
(+ (* (cos (* K 1/2)) (* J -2)) (/ (* -1/4 (/ (* U U) J)) (cos (* K 1/2))))
(* (cos (* K 1/2)) (* J -2))
(cos (* K 1/2))
(* K 1/2)
(sqrt (+ 1 (/ U (neg (* (/ (* 2 J) U) (* -2 J))))))
(/ U (neg (* (/ (* 2 J) U) (* -2 J))))
(* (* U U) 1/4)
(/ (* U U) J)
(* -1/4 (/ (* U U) J))
(/ (* -1/4 (/ (* U U) J)) (cos (* K 1/2)))
Outputs
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U))
(neg.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U))
(/.f64 (*.f64 #s(literal 2 binary64) J) (neg.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64))))))
(/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 U (*.f64 #s(literal 2 binary64) J)))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) U))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) U))
(/.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 U (*.f64 #s(literal 2 binary64) J)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 J #s(literal -2 binary64))) (/.f64 U (*.f64 #s(literal 2 binary64) J)))
(/.f64 (neg.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) U)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) U)))
(/.f64 (neg.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 J #s(literal -2 binary64)))) (neg.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J))))
(pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 J U) (*.f64 J #s(literal -2 binary64))))
(*.f64 J (/.f64 #s(literal -2 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 (*.f64 J #s(literal -2 binary64)) U))
(*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 J #s(literal -2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 J (/.f64 (*.f64 #s(literal 2 binary64) J) U)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 U (*.f64 #s(literal 2 binary64) J))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) J) U))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U))
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) (*.f64 #s(literal 2 binary64) J))
(*.f64 (/.f64 #s(literal -2 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) J)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) U))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) J) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 J U))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 U (*.f64 #s(literal 2 binary64) J))))
(neg.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 U (*.f64 #s(literal 2 binary64) J))))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) U))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64))))) U)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) U)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal 64 binary64)) (neg.f64 (*.f64 U (*.f64 U U))))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U) (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 U (*.f64 #s(literal 2 binary64) J)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U) (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U))) (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 U (*.f64 #s(literal 2 binary64) J)))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64))))) U)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) J)) (/.f64 U (*.f64 #s(literal 2 binary64) J)))
(/.f64 (neg.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) U))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) U))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 J J) (*.f64 (*.f64 J J) (*.f64 J J))) #s(literal 64 binary64)) (neg.f64 (*.f64 U (*.f64 U U)))))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U) (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 U (*.f64 #s(literal 2 binary64) J))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U) (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)))) (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 U (*.f64 #s(literal 2 binary64) J))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 J #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) U))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) J))) (neg.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J))))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 J U) (*.f64 #s(literal 2 binary64) J)))
(*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 (*.f64 #s(literal 2 binary64) J) U))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal 2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 J #s(literal -2 binary64)) U))
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 U (*.f64 #s(literal 2 binary64) J))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 U (*.f64 #s(literal 2 binary64) J))))
(*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) (*.f64 J #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J))) (-.f64 #s(literal 0 binary64) J))
(*.f64 (neg.f64 (/.f64 #s(literal -2 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J)))) J)
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 U (*.f64 #s(literal 2 binary64) J)))) J)
(*.f64 (*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) J) #s(literal -2 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) U) #s(literal -2 binary64)) J)
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U))))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)))))
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U))))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)))) #s(literal -2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))) #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 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J (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)) J)
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) J))
(neg.f64 (*.f64 #s(literal 2 binary64) J))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) J))
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
(*.f64 (-.f64 #s(literal 0 binary64) J) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) J))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)))
(+.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 J (-.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) (*.f64 J (-.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))))))
(fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) J) (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)))
(fma.f64 J #s(literal -2 binary64) (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)))
(fma.f64 J (*.f64 K (*.f64 K #s(literal 1/4 binary64))) (*.f64 J #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) J (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)))
(fma.f64 K (*.f64 (*.f64 K #s(literal 1/4 binary64)) J) (*.f64 J #s(literal -2 binary64)))
(fma.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J) (*.f64 J #s(literal -2 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
(fma.f64 (*.f64 K (*.f64 K #s(literal 1/4 binary64))) J (*.f64 J #s(literal -2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) J) #s(literal 2 binary64) (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) J) (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)))
(fma.f64 (*.f64 J (*.f64 K K)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64)))
(fma.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64)) (*.f64 J #s(literal -2 binary64)))
(fma.f64 (*.f64 J #s(literal 1/4 binary64)) (*.f64 K K) (*.f64 J #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (-.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64))))) (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal 1/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (-.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64))))) (*.f64 (*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64))))) (*.f64 J (-.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64))))))))
(/.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal 1/64 binary64))) (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (-.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal 1/64 binary64))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (-.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64))))) (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal 1/64 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 J (-.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64))))) (*.f64 (*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64))))) (*.f64 J (-.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))))))))
(/.f64 (*.f64 (*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64))))) (*.f64 J (-.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))))) (*.f64 J (-.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal 1/64 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (-.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)) (*.f64 J #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal -8 binary64)) (*.f64 (*.f64 (*.f64 J (*.f64 K K)) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) #s(literal 1/64 binary64)))) (neg.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 J (*.f64 K K)) (*.f64 J (*.f64 K K)))) (-.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) J)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64))))) (*.f64 J (-.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64))))))) (neg.f64 (*.f64 J (-.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))))))
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(*.f64 (/.f64 (*.f64 U U) J) (/.f64 #s(literal -1/4 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/4 binary64)) J)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 J (*.f64 U U)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 U U) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -1/4 binary64))
(*.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 U U) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) J))

simplify611.0ms (5.1%)

Memory
27.3MiB live, 1 315.5MiB allocated
Algorithm
1×egg-herbie
Rules
17 054×accelerator-lowering-fma.f32
17 054×accelerator-lowering-fma.f64
6 604×*-lowering-*.f32
6 604×*-lowering-*.f64
6 558×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04246036
113025902
245225828
087415602
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* -4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* 4 (/ (pow J 2) U))
(* -1 (* U (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 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))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 3))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) J)) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 5))) (* 1/64 (/ (cos (* 1/2 K)) (pow J 3))))))))
(* -1 (* U (cos (* 1/2 K))))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K)))))
(* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(* U (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* -1 (cos (* 1/2 K))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (+ (* -1 (cos (* 1/2 K))) (* 2 (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(+ (* -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))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(* 1/4 (* J (pow K 2)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* 1/4 (* J (pow K 2)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
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(* 1/4 (* J (pow K 2)))
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(* 1/4 (* J (pow K 2)))
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(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (* J (pow K 2)))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* 1/4 (pow K 2))
(* -2 J)
(+ (* -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 U)
(* 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 (* 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 U)
(+ (* -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)))))
(* -2 J)
(* 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))
(* -2 J)
(* -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))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 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))))))
(* 1/2 (/ U J))
(* 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))))))
(* -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))
(/ (+ (* 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)
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 (* 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 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (pow J 2))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (pow U 2)) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
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1
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
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(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 J)))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))) (* (pow K 2) (+ (* 1/23040 J) (* 1/4 (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
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(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) J)
(* -2 (* 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)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* -2 J)
(+ (* -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))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
1
(+ 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)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 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))))))
(* 1/2 (/ U J))
(* 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))))))
(* -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))
(/ (+ (* 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)
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 (* 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))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (pow U 2))
(* 1/4 (pow U 2))
(* 1/4 (pow U 2))
(* 1/4 (pow U 2))
(* 1/4 (pow U 2))
(* 1/4 (pow U 2))
(* 1/4 (pow U 2))
(* 1/4 (pow U 2))
(* 1/4 (pow U 2))
(* 1/4 (pow U 2))
(* 1/4 (pow U 2))
(* 1/4 (pow U 2))
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(/ (pow U 2) J)
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) J))
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
Outputs
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* -4 (/ (pow J 2) U))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* 4 (/ (pow J 2) U))
(/.f64 (*.f64 (*.f64 J J) #s(literal 4 binary64)) U)
(* -1 (* U (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 #s(literal 0 binary64) U))
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))
(-.f64 (*.f64 (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -2 binary64) U)) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal -2 binary64) U)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))
(-.f64 (*.f64 (*.f64 J J) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal -2 binary64) U)) (*.f64 J (*.f64 J (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 J J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)))))))) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 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 (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))
(*.f64 J (+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (*.f64 J J))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (*.f64 J J))) (/.f64 (*.f64 (*.f64 #s(literal -1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 6 binary64)))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(*.f64 J (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))
(-.f64 #s(literal 0 binary64) (*.f64 J (+.f64 (*.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/64 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (*.f64 J J)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))
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(+.f64 (*.f64 (/.f64 (*.f64 U U) J) (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/32 binary64) (*.f64 K K)))) (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/1536 binary64)))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(+.f64 (*.f64 (/.f64 (*.f64 U U) J) (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/32 binary64) (*.f64 K K)))) (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -5/384 binary64)) J) (*.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -61/46080 binary64))))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 U J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 U J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 U J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 U J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 U J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 U J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 U J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 U J))

eval141.0ms (1.2%)

Memory
-8.5MiB live, 296.3MiB allocated
Compiler

Compiled 24 641 to 2 255 computations (90.8% saved)

prune116.0ms (1%)

Memory
-25.8MiB live, 241.1MiB allocated
Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New1 033141 047
Fresh4610
Picked325
Done022
Total1 040241 064
Accuracy
100.0%
Counts
1 064 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.7%
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
46.6%
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 4 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))) J) (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J J)))))
▶39.1%
(-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) U)
33.5%
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U (*.f64 U U))) (/.f64 #s(literal -2 binary64) U))) U)
▶41.1%
(-.f64 #s(literal 0 binary64) U)
✓52.9%
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
▶52.4%
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
27.7%
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
23.1%
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/64 binary64)) (*.f64 J (*.f64 J J))) (/.f64 #s(literal -1/4 binary64) J))))
26.5%
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64))))
37.2%
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J))
9.9%
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) U)))
26.4%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
26.5%
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
7.8%
(*.f64 (*.f64 (/.f64 U J) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
▶7.4%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) (*.f64 #s(literal -2 binary64) J))
▶19.8%
(*.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))))) (*.f64 #s(literal -2 binary64) J))
42.2%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/4 binary64)) J)) J))) (*.f64 #s(literal -2 binary64) J))
42.2%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U (/.f64 (*.f64 U #s(literal 1/4 binary64)) J))))) (*.f64 #s(literal -2 binary64) J))
✓53.6%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
46.6%
(*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J J)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 4 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))))))
2.7%
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
✓28.2%
(*.f64 J #s(literal -2 binary64))
✓10.4%
U
Compiler

Compiled 951 to 596 computations (37.3% saved)

simplify356.0ms (3%)

Memory
33.0MiB live, 537.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))))
✓cost-diff128
(-.f64 (/.f64 J (*.f64 U U)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))
✓cost-diff128
(+.f64 (/.f64 #s(literal 1/2 binary64) J) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))))
✓cost-diff256
(*.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))))) (*.f64 #s(literal -2 binary64) J))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))
✓cost-diff0
(-.f64 #s(literal 0 binary64) U)
✓cost-diff256
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))
✓cost-diff256
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) (*.f64 #s(literal -2 binary64) J))
✓cost-diff0
(*.f64 J J)
✓cost-diff0
(*.f64 (*.f64 J J) #s(literal -2 binary64))
✓cost-diff0
(/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U)
✓cost-diff0
(-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) U)
✓cost-diff0
(-.f64 #s(literal 0 binary64) U)
✓cost-diff0
(*.f64 K #s(literal 1/2 binary64))
✓cost-diff0
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
✓cost-diff0
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
Rules
14 214×accelerator-lowering-fma.f32
14 214×accelerator-lowering-fma.f64
4 280×*-lowering-*.f32
4 280×*-lowering-*.f64
1 402×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033274
199262
2324250
31114248
43537238
57155229
08641225
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (cos (* K 1/2)) (* J -2)) (/ (* -1/4 (* U U)) J))
(* (cos (* K 1/2)) (* J -2))
(cos (* K 1/2))
(* K 1/2)
K
1/2
(* J -2)
J
-2
(/ (* -1/4 (* U U)) J)
(* -1/4 (* U U))
-1/4
(* U U)
U
(- 0 U)
0
U
(- (/ (* (* J J) -2) U) U)
(/ (* (* J J) -2) U)
(* (* J J) -2)
(* J J)
J
-2
U
(* (* (- 0 U) (+ (/ 1/2 J) (/ J (* U U)))) (* -2 J))
(* (- 0 U) (+ (/ 1/2 J) (/ J (* U U))))
(- 0 U)
0
U
(+ (/ 1/2 J) (/ J (* U U)))
(/ 1/2 J)
1/2
J
(/ J (* U U))
(* U U)
(* -2 J)
-2
(* (* U (+ (/ 1/2 J) (- (/ J (* U U)) (/ (* J (* J J)) (* (* U U) (* U U)))))) (* -2 J))
(* U (+ (/ 1/2 J) (- (/ J (* U U)) (/ (* J (* J J)) (* (* U U) (* U U))))))
U
(+ (/ 1/2 J) (- (/ J (* U U)) (/ (* J (* J J)) (* (* U U) (* U U)))))
(/ 1/2 J)
1/2
J
(- (/ J (* U U)) (/ (* J (* J J)) (* (* U U) (* U U))))
(/ J (* U U))
(* U U)
(/ (* J (* J J)) (* (* U U) (* U U)))
(* J (* J J))
(* J J)
(* (* U U) (* U U))
(* -2 J)
-2
Outputs
(+ (* (cos (* K 1/2)) (* J -2)) (/ (* -1/4 (* U U)) J))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(* (cos (* K 1/2)) (* J -2))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(cos (* K 1/2))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* K 1/2)
(*.f64 K #s(literal 1/2 binary64))
K
1/2
#s(literal 1/2 binary64)
(* J -2)
(*.f64 J #s(literal -2 binary64))
J
-2
#s(literal -2 binary64)
(/ (* -1/4 (* U U)) J)
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)
(* -1/4 (* U U))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
-1/4
#s(literal -1/4 binary64)
(* U U)
(*.f64 U U)
U
(- 0 U)
(-.f64 #s(literal 0 binary64) U)
0
#s(literal 0 binary64)
U
(- (/ (* (* J J) -2) U) U)
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(/ (* (* J J) -2) U)
(/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U)
(* (* J J) -2)
(*.f64 J (*.f64 J #s(literal -2 binary64)))
(* J J)
(*.f64 J J)
J
-2
#s(literal -2 binary64)
U
(* (* (- 0 U) (+ (/ 1/2 J) (/ J (* U U)))) (* -2 J))
(+.f64 U (/.f64 (*.f64 J (*.f64 J #s(literal 2 binary64))) U))
(* (- 0 U) (+ (/ 1/2 J) (/ J (* U U))))
(-.f64 (*.f64 U (/.f64 #s(literal -1/2 binary64) J)) (/.f64 J U))
(- 0 U)
(-.f64 #s(literal 0 binary64) U)
0
#s(literal 0 binary64)
U
(+ (/ 1/2 J) (/ J (* U U)))
(+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 (/.f64 J U) U))
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)
1/2
#s(literal 1/2 binary64)
J
(/ J (* U U))
(/.f64 (/.f64 J U) U)
(* U U)
(*.f64 U U)
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(* (* U (+ (/ 1/2 J) (- (/ J (* U U)) (/ (* J (* J J)) (* (* U U) (* U U)))))) (* -2 J))
(+.f64 (-.f64 #s(literal 0 binary64) U) (*.f64 (/.f64 (*.f64 J J) U) (+.f64 (*.f64 (*.f64 J (/.f64 (/.f64 J U) U)) #s(literal 2 binary64)) #s(literal -2 binary64))))
(* U (+ (/ 1/2 J) (- (/ J (* U U)) (/ (* J (* J J)) (* (* U U) (* U U))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) J) (*.f64 (/.f64 J U) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 J (/.f64 (/.f64 J U) U))) #s(literal 1 binary64))))
U
(+ (/ 1/2 J) (- (/ J (* U U)) (/ (* J (* J J)) (* (* U U) (* U U)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 (/.f64 (/.f64 J U) U) (+.f64 (*.f64 J (/.f64 (/.f64 J U) U)) #s(literal -1 binary64))))
(/ 1/2 J)
(/.f64 #s(literal 1/2 binary64) J)
1/2
#s(literal 1/2 binary64)
J
(- (/ J (* U U)) (/ (* J (* J J)) (* (* U U) (* U U))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 J U) U)) (+.f64 (*.f64 J (/.f64 (/.f64 J U) U)) #s(literal -1 binary64)))
(/ J (* U U))
(/.f64 (/.f64 J U) U)
(* U U)
(*.f64 U U)
(/ (* J (* J J)) (* (* U U) (* U U)))
(/.f64 (*.f64 J (*.f64 J (/.f64 (/.f64 J U) U))) (*.f64 U U))
(* J (* J J))
(*.f64 J (*.f64 J J))
(* J J)
(*.f64 J J)
(* (* U U) (* U U))
(*.f64 U (*.f64 U (*.f64 U U)))
(* -2 J)
(*.f64 J #s(literal -2 binary64))
-2
#s(literal -2 binary64)

localize123.0ms (1%)

Memory
-38.3MiB live, 192.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy90.4%
(/.f64 J (*.f64 U U))
✓accuracy88.6%
(*.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))))) (*.f64 #s(literal -2 binary64) J))
✓accuracy74.8%
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
✓accuracy72.6%
(-.f64 (/.f64 J (*.f64 U U)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U))))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))
✓accuracy90.4%
(/.f64 J (*.f64 U U))
✓accuracy88.9%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) (*.f64 #s(literal -2 binary64) J))
✓accuracy85.9%
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))))
✓accuracy100.0%
(*.f64 J J)
✓accuracy100.0%
(-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) U)
✓accuracy100.0%
(*.f64 (*.f64 J J) #s(literal -2 binary64))
✓accuracy88.2%
(/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) U)
✓accuracy100.0%
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
✓accuracy99.8%
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
✓accuracy90.6%
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)
Samples
63.0ms256×0valid
Compiler

Compiled 292 to 35 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 21.0ms (49.3% of total)
ival-div: 9.0ms (21.1% of total)
ival-cos: 6.0ms (14.1% of total)
ival-sub: 3.0ms (7% of total)
ival-add: 3.0ms (7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
8.5MiB live, 46.2MiB allocated
Counts
20 → 420
Calls
Call 1
Inputs
#<alt (+ (* (cos (* K 1/2)) (* J -2)) (/ (* -1/4 (* U U)) J))>
#<alt (* (cos (* K 1/2)) (* J -2))>
#<alt (cos (* K 1/2))>
#<alt (* K 1/2)>
#<alt (- 0 U)>
#<alt (- (/ (* (* J J) -2) U) U)>
#<alt (/ (* (* J J) -2) U)>
#<alt (* (* J J) -2)>
#<alt (* J J)>
#<alt (* (* (- 0 U) (+ (/ 1/2 J) (/ J (* U U)))) (* -2 J))>
#<alt (* (- 0 U) (+ (/ 1/2 J) (/ J (* U U))))>
#<alt (+ (/ 1/2 J) (/ J (* U U)))>
#<alt (* (* U (+ (/ 1/2 J) (- (/ J (* U U)) (/ (* J (* J J)) (* (* U U) (* U U)))))) (* -2 J))>
#<alt (+ (/ 1/2 J) (- (/ J (* U U)) (/ (* J (* J J)) (* (* U U) (* U U)))))>
#<alt (- (/ J (* U U)) (/ (* J (* J J)) (* (* U U) (* U U))))>
#<alt (* U (+ (/ 1/2 J) (- (/ J (* U U)) (/ (* J (* J J)) (* (* U U) (* U U))))))>
#<alt (/ (* -1/4 (* U U)) J)>
#<alt (* -1/4 (* U U))>
#<alt (/ J (* U U))>
#<alt (/ (* J (* J J)) (* (* U U) (* U U)))>
Outputs
#<alt (+ (* -2 J) (* -1/4 (/ (pow U 2) J)))>
#<alt (+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* 1/4 (* J (pow K 2)))))>
#<alt (+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))))>
#<alt (+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))>
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#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ J (pow U 2))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
#<alt (/ (pow J 3) (pow U 4))>
Calls

105 calls:

TimeVariablePointExpression
5.0ms
J
@inf
(* (* U (+ (/ 1/2 J) (- (/ J (* U U)) (/ (* J (* J J)) (* (* U U) (* U U)))))) (* -2 J))
1.0ms
U
@0
(* (* (- 0 U) (+ (/ 1/2 J) (/ J (* U U)))) (* -2 J))
1.0ms
J
@0
(* (* (- 0 U) (+ (/ 1/2 J) (/ J (* U U)))) (* -2 J))
1.0ms
U
@0
(* (* U (+ (/ 1/2 J) (- (/ J (* U U)) (/ (* J (* J J)) (* (* U U) (* U U)))))) (* -2 J))
1.0ms
J
@inf
(* (* (- 0 U) (+ (/ 1/2 J) (/ J (* U U)))) (* -2 J))

rewrite445.0ms (3.7%)

Memory
2.0MiB live, 665.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 912×/-lowering-/.f32
4 912×/-lowering-/.f64
4 376×accelerator-lowering-fma.f32
4 376×accelerator-lowering-fma.f64
4 176×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033200
1209190
22749182
09220178
Stop Event
1×iter limit
1×node limit
Counts
20 → 761
Calls
Call 1
Inputs
(+ (* (cos (* K 1/2)) (* J -2)) (/ (* -1/4 (* U U)) J))
(* (cos (* K 1/2)) (* J -2))
(cos (* K 1/2))
(* K 1/2)
(- 0 U)
(- (/ (* (* J J) -2) U) U)
(/ (* (* J J) -2) U)
(* (* J J) -2)
(* J J)
(* (* (- 0 U) (+ (/ 1/2 J) (/ J (* U U)))) (* -2 J))
(* (- 0 U) (+ (/ 1/2 J) (/ J (* U U))))
(+ (/ 1/2 J) (/ J (* U U)))
(* (* U (+ (/ 1/2 J) (- (/ J (* U U)) (/ (* J (* J J)) (* (* U U) (* U U)))))) (* -2 J))
(+ (/ 1/2 J) (- (/ J (* U U)) (/ (* J (* J J)) (* (* U U) (* U U)))))
(- (/ J (* U U)) (/ (* J (* J J)) (* (* U U) (* U U))))
(* U (+ (/ 1/2 J) (- (/ J (* U U)) (/ (* J (* J J)) (* (* U U) (* U U))))))
(/ (* -1/4 (* U U)) J)
(* -1/4 (* U U))
(/ J (* U U))
(/ (* J (* J J)) (* (* U U) (* U U)))
Outputs
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(+.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) J)))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (/.f64 (*.f64 U U) J)) #s(literal 1/16 binary64)) (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) J)))))
(-.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (/.f64 (*.f64 U U) J)) #s(literal 1/16 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))))
(fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(fma.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (*.f64 U U) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) J)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(fma.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) J)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) J) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(fma.f64 (*.f64 #s(literal -1/4 binary64) U) (/.f64 U J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) U) (*.f64 U (/.f64 #s(literal 1 binary64) J)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U (*.f64 U (*.f64 U U)))) #s(literal -1/64 binary64)) (*.f64 J (*.f64 J J)))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U (*.f64 U (*.f64 U U)))) #s(literal -1/64 binary64)) (*.f64 J (*.f64 J J)))) (+.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (/.f64 (*.f64 U U) J)) #s(literal 1/16 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U (*.f64 U (*.f64 U U)))) #s(literal -1/64 binary64)) (*.f64 J (*.f64 J J))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) J))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (/.f64 (*.f64 U U) J)) #s(literal 1/16 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (/.f64 (*.f64 U U) J)) #s(literal 1/16 binary64))) (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) J))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U (*.f64 U (*.f64 U U)))) #s(literal -1/64 binary64)) (*.f64 J (*.f64 J J)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) J))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (/.f64 (*.f64 U U) J)) #s(literal 1/16 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U (*.f64 U (*.f64 U U)))) #s(literal -1/64 binary64)) (*.f64 J (*.f64 J J))))) (neg.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U (*.f64 U (*.f64 U U)))) #s(literal -1/64 binary64)) (*.f64 J (*.f64 J J))))) (neg.f64 (+.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (/.f64 (*.f64 U U) J)) #s(literal 1/16 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (/.f64 (*.f64 U U) J)) #s(literal 1/16 binary64)))) (neg.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) J)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 U U) J) (/.f64 (*.f64 U U) J)) #s(literal 1/16 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64))))) (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U (*.f64 U (*.f64 U U)))) #s(literal -1/64 binary64)) (*.f64 J (*.f64 J J)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J #s(literal -2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))))))
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(/.f64 (neg.f64 (*.f64 (/.f64 J U) (*.f64 J J))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))))
(/.f64 (neg.f64 (*.f64 (*.f64 J (*.f64 J J)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U (*.f64 U U)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 J (*.f64 J J))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U (*.f64 U U)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 J (*.f64 J J)) (*.f64 U U)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U))))
(/.f64 (neg.f64 (*.f64 (/.f64 J (*.f64 U U)) (*.f64 J J))) (-.f64 #s(literal 0 binary64) (*.f64 U U)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) J) (/.f64 (*.f64 J J) (*.f64 U U)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 J J) (*.f64 U U)))) (neg.f64 (/.f64 (*.f64 U U) J)))
(/.f64 (neg.f64 (/.f64 (*.f64 J (*.f64 J J)) U)) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 J (*.f64 J J)) (*.f64 U U)) U)) (-.f64 #s(literal 0 binary64) U))
(pow.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U U)) J)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U U)) J)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 U U) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 U U))) #s(literal -1 binary64))
(*.f64 J (/.f64 (*.f64 J J) (*.f64 U (*.f64 U (*.f64 U U)))))
(*.f64 J (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 (*.f64 J J) (*.f64 U U))))
(*.f64 (*.f64 J J) (*.f64 J (/.f64 #s(literal 1 binary64) (*.f64 U (*.f64 U (*.f64 U U))))))
(*.f64 (*.f64 J J) (/.f64 J (*.f64 U (*.f64 U (*.f64 U U)))))
(*.f64 (/.f64 J (*.f64 U U)) (/.f64 (*.f64 J J) (*.f64 U U)))
(*.f64 (*.f64 J (*.f64 J J)) (/.f64 #s(literal 1 binary64) (*.f64 U (*.f64 U (*.f64 U U)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 J (*.f64 J J))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U (*.f64 U U))))))
(*.f64 (/.f64 (*.f64 J J) (*.f64 U U)) (/.f64 J (*.f64 U U)))
(*.f64 (/.f64 (*.f64 J J) (*.f64 U (*.f64 U (*.f64 U U)))) J)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 U (*.f64 U (*.f64 U U)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 U U)))
(*.f64 (/.f64 #s(literal 1 binary64) U) (pow.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J (*.f64 J J))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U (*.f64 U (*.f64 U U)))) (*.f64 J (*.f64 J J)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U (*.f64 U (*.f64 U U)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (*.f64 J J))) #s(literal -1 binary64)))
(*.f64 (/.f64 J U) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U))))
(*.f64 (/.f64 J U) (pow.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J J)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 J (*.f64 J J)) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U (*.f64 U U))) (pow.f64 (/.f64 U (*.f64 J (*.f64 J J))) #s(literal -1 binary64)))
(*.f64 (/.f64 J (*.f64 U (*.f64 U U))) (/.f64 (*.f64 J J) U))
(*.f64 (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U))) (/.f64 J U))
(*.f64 (/.f64 (*.f64 J J) U) (/.f64 J (*.f64 U (*.f64 U U))))
(*.f64 (pow.f64 (/.f64 (*.f64 U (*.f64 U U)) (*.f64 J J)) #s(literal -1 binary64)) (/.f64 J U))
(*.f64 (pow.f64 (/.f64 U (*.f64 J J)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 U (*.f64 U U)) J) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 U (*.f64 U U)) J) #s(literal -1 binary64)) (pow.f64 (/.f64 U (*.f64 J J)) #s(literal -1 binary64)))

simplify472.0ms (3.9%)

Memory
36.6MiB live, 702.1MiB allocated
Algorithm
1×egg-herbie
Rules
12 652×accelerator-lowering-fma.f32
12 652×accelerator-lowering-fma.f64
4 754×*-lowering-*.f32
4 754×*-lowering-*.f64
2 890×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02684141
17264101
222484035
355713859
085523754
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* 1/4 (* J (pow K 2)))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(* -1/4 (/ (pow U 2) J))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (pow U 2))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (pow U 2))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (pow U 2))) J)
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (pow J 2)))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (pow J 2)))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (pow J 2)))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(* -1/4 (/ (pow U 2) J))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 J))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 J))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 J))))
(* -1/4 (/ (pow U 2) J))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 J))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 J))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 J))))
(* -2 J)
(+ (* -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))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
1
(+ 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)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* -1 U)
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(* -1 U)
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(* -1 U)
(- (* -2 (/ (pow J 2) U)) U)
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(* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))
(* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))
(* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))
(* -2 (/ (pow J 2) U))
(* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))
(* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))
(* (pow J 2) (- (* -1 (/ U (pow J 2))) (* 2 (/ 1 U))))
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(/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)
(/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)
(/ (+ (* -2 (pow J 2)) (* -1 (pow U 2))) U)
(* -1 U)
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(* U (- (* -2 (/ (pow J 2) (pow U 2))) 1))
(* -1 U)
(* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))
(* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))
(* -1 (* U (+ 1 (* 2 (/ (pow J 2) (pow U 2))))))
(* -2 (/ (pow J 2) U))
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(* 2 (/ (pow J 2) U))
(/ (+ (* 2 (pow J 2)) (pow U 2)) U)
(/ (+ (* 2 (pow J 2)) (pow U 2)) U)
(/ (+ (* 2 (pow J 2)) (pow U 2)) U)
U
(* U (+ 1 (* 2 (/ (pow J 2) (pow U 2)))))
(* U (+ 1 (* 2 (/ (pow J 2) (pow U 2)))))
(* U (+ 1 (* 2 (/ (pow J 2) (pow U 2)))))
U
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
(* -1 (* U (- (* -2 (/ (pow J 2) (pow U 2))) 1)))
U
(+ U (* 2 (/ (pow J 2) U)))
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(* -1 (/ J U))
(/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) U)
(/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) U)
(/ (+ (* -1 J) (* -1/2 (/ (pow U 2) J))) U)
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(* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J))))
(* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J))))
(* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J))))
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(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
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(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
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(/ (+ (* -1 (/ (pow J 2) U)) (* -1/2 U)) J)
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(* 2 (/ (pow J 4) (pow U 3)))
(/ (+ (* -2 (* (pow J 2) (pow U 2))) (* 2 (pow J 4))) (pow U 3))
(/ (+ (* 2 (pow J 4)) (* (pow U 2) (+ (* -2 (pow J 2)) (* -1 (pow U 2))))) (pow U 3))
(/ (+ (* 2 (pow J 4)) (* (pow U 2) (+ (* -2 (pow J 2)) (* -1 (pow U 2))))) (pow U 3))
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(* -1 (* U (+ 1 (+ (* -2 (/ (pow J 4) (pow U 4))) (* 2 (/ (pow J 2) (pow U 2)))))))
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(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))
(+ (* -1 U) (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 3))) (* 2 (/ 1 U)))))
(* 2 (/ (pow J 4) (pow U 3)))
(* (pow J 4) (- (* 2 (/ 1 (pow U 3))) (* 2 (/ 1 (* (pow J 2) U)))))
(* (pow J 4) (- (+ (* -1 (/ U (pow J 4))) (* 2 (/ 1 (pow U 3)))) (/ 2 (* (pow J 2) U))))
(* (pow J 4) (- (+ (* -1 (/ U (pow J 4))) (* 2 (/ 1 (pow U 3)))) (/ 2 (* (pow J 2) U))))
(* 2 (/ (pow J 4) (pow U 3)))
(* (pow J 4) (- (* 2 (/ 1 (pow U 3))) (* 2 (/ 1 (* (pow J 2) U)))))
(* (pow J 4) (- (+ (* -1 (/ U (pow J 4))) (* 2 (/ 1 (pow U 3)))) (/ 2 (* (pow J 2) U))))
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(/ 1/2 J)
(/ (+ 1/2 (/ (pow J 2) (pow U 2))) J)
(/ (+ 1/2 (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 4))) (/ 1 (pow U 2))))) J)
(/ (+ 1/2 (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 4))) (/ 1 (pow U 2))))) J)
(* -1 (/ (pow J 3) (pow U 4)))
(* (pow J 3) (- (/ 1 (* (pow J 2) (pow U 2))) (/ 1 (pow U 4))))
(* (pow J 3) (- (+ (/ 1/2 (pow J 4)) (/ 1 (* (pow J 2) (pow U 2)))) (/ 1 (pow U 4))))
(* (pow J 3) (- (+ (/ 1/2 (pow J 4)) (/ 1 (* (pow J 2) (pow U 2)))) (/ 1 (pow U 4))))
(* -1 (/ (pow J 3) (pow U 4)))
(* -1 (* (pow J 3) (- (/ 1 (pow U 4)) (/ 1 (* (pow J 2) (pow U 2))))))
(* -1 (* (pow J 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow J 2))) (/ 1 (pow U 2))) (pow J 2))) (/ 1 (pow U 4)))))
(* -1 (* (pow J 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow J 2))) (/ 1 (pow U 2))) (pow J 2))) (/ 1 (pow U 4)))))
(* -1 (/ (pow J 3) (pow U 4)))
(/ (- (* J (pow U 2)) (pow J 3)) (pow U 4))
(/ (- (* (pow U 2) (+ J (* 1/2 (/ (pow U 2) J)))) (pow J 3)) (pow U 4))
(/ (- (* (pow U 2) (+ J (* 1/2 (/ (pow U 2) J)))) (pow J 3)) (pow U 4))
(/ 1/2 J)
(+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))
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(+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(/ 1/2 J)
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(+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(/ J (pow U 2))
(* J (+ (* -1 (/ (pow J 2) (pow U 4))) (/ 1 (pow U 2))))
(* J (+ (* -1 (/ (pow J 2) (pow U 4))) (/ 1 (pow U 2))))
(* J (+ (* -1 (/ (pow J 2) (pow U 4))) (/ 1 (pow U 2))))
(* -1 (/ (pow J 3) (pow U 4)))
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(* (pow J 3) (- (/ 1 (* (pow J 2) (pow U 2))) (/ 1 (pow U 4))))
(* (pow J 3) (- (/ 1 (* (pow J 2) (pow U 2))) (/ 1 (pow U 4))))
(* -1 (/ (pow J 3) (pow U 4)))
(* -1 (* (pow J 3) (- (/ 1 (pow U 4)) (/ 1 (* (pow J 2) (pow U 2))))))
(* -1 (* (pow J 3) (- (/ 1 (pow U 4)) (/ 1 (* (pow J 2) (pow U 2))))))
(* -1 (* (pow J 3) (- (/ 1 (pow U 4)) (/ 1 (* (pow J 2) (pow U 2))))))
(* -1 (/ (pow J 3) (pow U 4)))
(/ (- (* J (pow U 2)) (pow J 3)) (pow U 4))
(/ (- (* J (pow U 2)) (pow J 3)) (pow U 4))
(/ (- (* J (pow U 2)) (pow J 3)) (pow U 4))
(/ J (pow U 2))
(/ (+ J (* -1 (/ (pow J 3) (pow U 2)))) (pow U 2))
(/ (+ J (* -1 (/ (pow J 3) (pow U 2)))) (pow U 2))
(/ (+ J (* -1 (/ (pow J 3) (pow U 2)))) (pow U 2))
(/ J (pow U 2))
(/ (+ J (* -1 (/ (pow J 3) (pow U 2)))) (pow U 2))
(/ (+ J (* -1 (/ (pow J 3) (pow U 2)))) (pow U 2))
(/ (+ J (* -1 (/ (pow J 3) (pow U 2)))) (pow U 2))
(* -1 (/ (pow J 3) (pow U 3)))
(/ (+ (* -1 (pow J 3)) (* J (pow U 2))) (pow U 3))
(/ (+ (* -1 (pow J 3)) (* (pow U 2) (+ J (* 1/2 (/ (pow U 2) J))))) (pow U 3))
(/ (+ (* -1 (pow J 3)) (* (pow U 2) (+ J (* 1/2 (/ (pow U 2) J))))) (pow U 3))
(* 1/2 (/ U J))
(* 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))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* 1/2 (/ U J))
(* -1 (* U (- (* -1 (/ J (pow U 2))) (* 1/2 (/ 1 J)))))
(* -1 (* U (- (+ (* -1 (/ J (pow U 2))) (/ (pow J 3) (pow U 4))) (* 1/2 (/ 1 J)))))
(* -1 (* U (- (+ (* -1 (/ J (pow U 2))) (/ (pow J 3) (pow U 4))) (* 1/2 (/ 1 J)))))
(* 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) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(* -1 (/ (pow J 3) (pow U 3)))
(* (pow J 3) (- (/ 1 (* (pow J 2) U)) (/ 1 (pow U 3))))
(* (pow J 3) (- (+ (* 1/2 (/ U (pow J 4))) (/ 1 (* (pow J 2) U))) (/ 1 (pow U 3))))
(* (pow J 3) (- (+ (* 1/2 (/ U (pow J 4))) (/ 1 (* (pow J 2) U))) (/ 1 (pow U 3))))
(* -1 (/ (pow J 3) (pow U 3)))
(* -1 (* (pow J 3) (- (/ 1 (pow U 3)) (/ 1 (* (pow J 2) U)))))
(* -1 (* (pow J 3) (- (+ (* -1/2 (/ U (pow J 4))) (/ 1 (pow U 3))) (/ 1 (* (pow J 2) U)))))
(* -1 (* (pow J 3) (- (+ (* -1/2 (/ U (pow J 4))) (/ 1 (pow U 3))) (/ 1 (* (pow J 2) U)))))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) J))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ J (pow U 2))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
(/ (pow J 3) (pow U 4))
Outputs
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* 1/4 (* J (pow K 2)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J)))))
(+.f64 (*.f64 #s(literal -2 binary64) J) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 K K) (*.f64 J (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 K K)))))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))))
(+.f64 (+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal 1/4 binary64)) (*.f64 (*.f64 J (*.f64 K K)) (+.f64 #s(literal -1/192 binary64) (*.f64 #s(literal 1/23040 binary64) (*.f64 K K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) J))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (pow U 2))) J)
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (pow U 2))) J)
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) J)
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (pow U 2))) J)
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) J)
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (pow J 2)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (pow J 2)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (pow J 2)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) J)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(* -1/4 (/ (pow U 2) J))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 J))))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 J))))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 J))))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(* -1/4 (/ (pow U 2) J))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 J))))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 J))))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 J))))
(*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 U U)) (/.f64 #s(literal -1/4 binary64) J)))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(*.f64 J (+.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 K K))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 K K) (*.f64 J (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/192 binary64) (*.f64 K K))))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (*.f64 K K) (+.f64 (*.f64 J #s(literal 1/4 binary64)) (*.f64 (*.f64 J (*.f64 K K)) (+.f64 #s(literal -1/192 binary64) (*.f64 #s(literal 1/23040 binary64) (*.f64 K K)))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) #s(literal -1/8 binary64)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) (+.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))))))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(* -1 U)
(-.f64 #s(literal 0 binary64) U)
(- (* -2 (/ (pow J 2) U)) U)
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
(- (* -2 (/ (pow J 2) U)) U)
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
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(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(* -1/4 (pow U 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(* -1/4 (pow U 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(* -1/4 (pow U 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(* -1/4 (pow U 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(* -1/4 (pow U 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(* -1/4 (pow U 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(* -1/4 (pow U 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ J (pow U 2))
(/.f64 J (*.f64 U U))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))
(/ (pow J 3) (pow U 4))
(/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))

eval323.0ms (2.7%)

Memory
30.5MiB live, 331.0MiB allocated
Compiler

Compiled 41 989 to 3 622 computations (91.4% saved)

prune209.0ms (1.7%)

Memory
-0.7MiB live, 441.6MiB allocated
Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New1 287101 297
Fresh21315
Picked415
Done044
Total1 293281 321
Accuracy
100.0%
Counts
1 321 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.7%
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
30.2%
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) J)
46.6%
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 4 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))) J) (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J J)))))
6.0%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal -2 binary64)))) U)
2.5%
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U)
35.6%
(-.f64 (*.f64 (*.f64 J J) (*.f64 (/.f64 #s(literal 2 binary64) U) (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))) U)
41.9%
(-.f64 (*.f64 J (/.f64 (*.f64 J #s(literal -2 binary64)) U)) U)
✓52.9%
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
✓52.4%
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
27.7%
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
23.1%
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/64 binary64)) (*.f64 J (*.f64 J J))) (/.f64 #s(literal -1/4 binary64) J))))
26.5%
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64))))
37.2%
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J))
2.4%
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J))
26.4%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
26.5%
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
7.8%
(*.f64 (*.f64 (/.f64 U J) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
2.2%
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) (/.f64 J (*.f64 U U))) (*.f64 #s(literal -2 binary64) J))
27.1%
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) (*.f64 U U)))) (*.f64 U #s(literal -2 binary64))) J)
2.0%
(*.f64 (*.f64 U (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 J (*.f64 J J))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U (*.f64 U (*.f64 U U)))))) (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U U)) J))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 U U) J))) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 U U) J))) (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U U)) J))))) (*.f64 #s(literal -2 binary64) J))
42.2%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/4 binary64)) J)) J))) (*.f64 #s(literal -2 binary64) J))
42.2%
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U (/.f64 (*.f64 U #s(literal 1/4 binary64)) J))))) (*.f64 #s(literal -2 binary64) J))
✓53.6%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
46.6%
(*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J J)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 4 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))))))
2.7%
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
✓28.2%
(*.f64 J #s(literal -2 binary64))
41.1%
(neg.f64 U)
✓10.4%
U
Compiler

Compiled 1 595 to 623 computations (60.9% saved)

regimes109.0ms (0.9%)

Memory
-10.6MiB live, 212.0MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U)
(*.f64 (*.f64 (/.f64 U J) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 J (/.f64 (*.f64 J #s(literal -2 binary64)) U)) U)
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(*.f64 J (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) (/.f64 J (*.f64 U U))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) U)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 (*.f64 J J) (*.f64 (/.f64 #s(literal 2 binary64) U) (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))) U)
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U (*.f64 U U))) (/.f64 #s(literal -2 binary64) U))) U)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal -2 binary64)))) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/64 binary64)) (*.f64 J (*.f64 J J))) (/.f64 #s(literal -1/4 binary64) J))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) (*.f64 U U)))) (*.f64 U #s(literal -2 binary64))) J)
(*.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 U (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 J (*.f64 J J))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U (*.f64 U (*.f64 U U)))))) (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U U)) J))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 U U) J))) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 U U) J))) (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U U)) J))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/4 binary64)) J)) J))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U (/.f64 (*.f64 U #s(literal 1/4 binary64)) J))))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) U) (*.f64 J #s(literal -2 binary64))) J) U)
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) J)
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal -2 binary64) J)))))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.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 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (*.f64 #s(literal -2 binary64) J)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 4 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))) J) (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J J)))))
(*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J J)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) #s(literal 4 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J J))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #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
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
U
Calls

6 calls:

20.0ms
U
18.0ms
(*.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)))))
16.0ms
K
16.0ms
(/.f64 K #s(literal 2 binary64))
15.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
84.7%2J
74.0%1K
82.7%2U
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)))))
74.0%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
74.0%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes21.0ms (0.2%)

Memory
11.5MiB live, 46.8MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U)
(*.f64 (*.f64 (/.f64 U J) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 J (/.f64 (*.f64 J #s(literal -2 binary64)) U)) U)
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(*.f64 J (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) (/.f64 J (*.f64 U U))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) U)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 (*.f64 J J) (*.f64 (/.f64 #s(literal 2 binary64) U) (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))) U)
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U (*.f64 U U))) (/.f64 #s(literal -2 binary64) U))) U)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal -2 binary64)))) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/64 binary64)) (*.f64 J (*.f64 J J))) (/.f64 #s(literal -1/4 binary64) J))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) (*.f64 U U)))) (*.f64 U #s(literal -2 binary64))) J)
(*.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 U (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 J (*.f64 J J))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U (*.f64 U (*.f64 U U)))))) (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U U)) J))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 U U) J))) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 U U) J))) (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U U)) J))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/4 binary64)) J)) J))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U (/.f64 (*.f64 U #s(literal 1/4 binary64)) J))))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) U) (*.f64 J #s(literal -2 binary64))) J) U)
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) J)
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal -2 binary64) J)))))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.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 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (*.f64 #s(literal -2 binary64) J)))))))
Outputs
(-.f64 (*.f64 J (/.f64 (*.f64 J #s(literal -2 binary64)) U)) U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (*.f64 #s(literal -2 binary64) J)))))))
Calls

1 calls:

15.0ms
J
Results
AccuracySegmentsBranch
84.6%2J
Compiler

Compiled 4 to 3 computations (25% saved)

regimes60.0ms (0.5%)

Memory
-18.8MiB live, 89.3MiB allocated
Counts
43 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U)
(*.f64 (*.f64 (/.f64 U J) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 J (/.f64 (*.f64 J #s(literal -2 binary64)) U)) U)
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(*.f64 J (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) (/.f64 J (*.f64 U U))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) U)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 (*.f64 J J) (*.f64 (/.f64 #s(literal 2 binary64) U) (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))) U)
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U (*.f64 U U))) (/.f64 #s(literal -2 binary64) U))) U)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal -2 binary64)))) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/64 binary64)) (*.f64 J (*.f64 J J))) (/.f64 #s(literal -1/4 binary64) J))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) (*.f64 U U)))) (*.f64 U #s(literal -2 binary64))) J)
(*.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 U (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 J (*.f64 J J))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U (*.f64 U (*.f64 U U)))))) (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U U)) J))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 U U) J))) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 U U) J))) (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U U)) J))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/4 binary64)) J)) J))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U (/.f64 (*.f64 U #s(literal 1/4 binary64)) J))))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) U) (*.f64 J #s(literal -2 binary64))) J) U)
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) J)
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal -2 binary64) J)))))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.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)))))
Outputs
(-.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) U) (*.f64 J #s(literal -2 binary64))) J) U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal -2 binary64) J)))))))
Calls

2 calls:

38.0ms
J
16.0ms
U
Results
AccuracySegmentsBranch
75.4%2U
79.1%2J
Compiler

Compiled 8 to 6 computations (25% saved)

regimes57.0ms (0.5%)

Memory
-2.1MiB live, 113.1MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U)
(*.f64 (*.f64 (/.f64 U J) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 J (/.f64 (*.f64 J #s(literal -2 binary64)) U)) U)
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(*.f64 J (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) (/.f64 J (*.f64 U U))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) U)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 (*.f64 J J) (*.f64 (/.f64 #s(literal 2 binary64) U) (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))) U)
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U (*.f64 U U))) (/.f64 #s(literal -2 binary64) U))) U)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal -2 binary64)))) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/64 binary64)) (*.f64 J (*.f64 J J))) (/.f64 #s(literal -1/4 binary64) J))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) (*.f64 U U)))) (*.f64 U #s(literal -2 binary64))) J)
(*.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 U (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 J (*.f64 J J))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U (*.f64 U (*.f64 U U)))))) (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U U)) J))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 U U) J))) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 U U) J))) (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U U)) J))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/4 binary64)) J)) J))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U (/.f64 (*.f64 U #s(literal 1/4 binary64)) J))))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) U) (*.f64 J #s(literal -2 binary64))) J) U)
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 J J))) (*.f64 #s(literal -1/4 binary64) (*.f64 U U))) J)
(-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J))) U)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (*.f64 J #s(literal -2 binary64)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
Outputs
(-.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) U) (*.f64 J #s(literal -2 binary64))) J) U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
Calls

3 calls:

22.0ms
U
16.0ms
J
14.0ms
K
Results
AccuracySegmentsBranch
70.6%2U
64.1%3K
71.4%2J
Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.1%)

Memory
-4.5MiB live, 34.5MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U)
(*.f64 (*.f64 (/.f64 U J) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 J (/.f64 (*.f64 J #s(literal -2 binary64)) U)) U)
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(*.f64 J (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) (/.f64 J (*.f64 U U))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) U)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 (*.f64 J J) (*.f64 (/.f64 #s(literal 2 binary64) U) (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))) U)
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U (*.f64 U U))) (/.f64 #s(literal -2 binary64) U))) U)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal -2 binary64)))) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/64 binary64)) (*.f64 J (*.f64 J J))) (/.f64 #s(literal -1/4 binary64) J))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) (*.f64 U U)))) (*.f64 U #s(literal -2 binary64))) J)
(*.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 U (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 J (*.f64 J J))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U (*.f64 U (*.f64 U U)))))) (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U U)) J))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 U U) J))) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 U U) J))) (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U U)) J))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/4 binary64)) J)) J))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 J J)))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U (/.f64 (*.f64 U #s(literal 1/4 binary64)) J))))) (*.f64 #s(literal -2 binary64) J))
Outputs
(-.f64 (*.f64 J (/.f64 (*.f64 J #s(literal -2 binary64)) U)) U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
Calls

1 calls:

11.0ms
J
Results
AccuracySegmentsBranch
71.4%2J
Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Memory
21.9MiB live, 61.1MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U)
(*.f64 (*.f64 (/.f64 U J) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 J (/.f64 (*.f64 J #s(literal -2 binary64)) U)) U)
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(-.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/4 binary64))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 J K) (*.f64 K #s(literal 1/4 binary64))))
(+.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J))
(*.f64 J (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J J))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) (/.f64 J (*.f64 U U))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) U)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) U) (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 K (*.f64 K (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 (*.f64 J J) (*.f64 (/.f64 #s(literal 2 binary64) U) (+.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))) U)
(-.f64 (*.f64 (*.f64 J J) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (*.f64 U (*.f64 U U))) (/.f64 #s(literal -2 binary64) U))) U)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (*.f64 J #s(literal -2 binary64)))) U)
(+.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 (*.f64 U U) (+.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1/64 binary64)) (*.f64 J (*.f64 J J))) (/.f64 #s(literal -1/4 binary64) J))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) J) (*.f64 J (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 J J) (*.f64 U U))) (*.f64 U U)))) (*.f64 U #s(literal -2 binary64))) J)
(*.f64 (*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) J) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U U)))))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 U (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 J (*.f64 J J))) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U U) (*.f64 U (*.f64 U (*.f64 U U)))))) (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U U)) J))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 U U) J))) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (/.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 U U) J))) (*.f64 (/.f64 U (*.f64 J J)) (/.f64 (*.f64 U (*.f64 U U)) J))))) (*.f64 #s(literal -2 binary64) J))
Outputs
(*.f64 J #s(literal -2 binary64))
(-.f64 (*.f64 J (/.f64 (*.f64 J #s(literal -2 binary64)) U)) U)
Calls

3 calls:

9.0ms
U
8.0ms
J
8.0ms
K
Results
AccuracySegmentsBranch
41.9%1K
52.7%2U
52.4%2J
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Memory
-22.1MiB live, 17.2MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 #s(literal 0 binary64) U)
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) U)
(*.f64 (*.f64 (/.f64 U J) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 K (*.f64 K #s(literal 1/4 binary64)))) J)
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J))
Outputs
(*.f64 J #s(literal -2 binary64))
(neg.f64 U)
Calls

2 calls:

4.0ms
U
3.0ms
J
Results
AccuracySegmentsBranch
52.3%2J
52.4%2U
Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
U
(neg.f64 U)
Outputs
(neg.f64 U)
Calls

3 calls:

2.0ms
U
2.0ms
K
2.0ms
J
Results
AccuracySegmentsBranch
41.1%1K
41.1%1J
41.1%1U
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory
10.5MiB live, 10.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
U
Outputs
U
Calls

3 calls:

1.0ms
K
1.0ms
U
1.0ms
J
Results
AccuracySegmentsBranch
10.4%1K
10.4%1U
10.4%1J
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
6.605428520431337e+297
+inf
0.0ms
-inf
-2.0305641917885747e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch10.0ms (0.1%)

Memory
-25.8MiB live, 15.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
4.302450572771838e-181
5.49957864316698e-181
Samples
5.0ms48×0valid
Compiler

Compiled 186 to 125 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (24.7% of total)
ival-mult: 1.0ms (24.7% of total)
ival-cos: 1.0ms (24.7% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-pow2: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory
19.8MiB live, 19.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
2.3002114927414217e-128
4.065068984148803e-128
Samples
7.0ms64×0valid
Compiler

Compiled 230 to 163 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (36.6% of total)
ival-div: 1.0ms (18.3% of total)
ival-cos: 1.0ms (18.3% of total)
ival-pow2: 1.0ms (18.3% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Memory
3.1MiB live, 42.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
2.6497431971371102e-45
6.6008445316197615e-40
Samples
17.0ms144×0valid
Compiler

Compiled 336 to 257 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 4.0ms (30.8% of total)
ival-cos: 4.0ms (30.8% of total)
ival-div: 2.0ms (15.4% of total)
ival-add: 1.0ms (7.7% of total)
ival-sqrt: 1.0ms (7.7% of total)
ival-pow2: 1.0ms (7.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory
2.5MiB live, 41.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
2.6497431971371102e-45
6.6008445316197615e-40
Samples
17.0ms144×0valid
Compiler

Compiled 255 to 194 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (38.8% of total)
ival-cos: 3.0ms (23.3% of total)
ival-div: 2.0ms (15.5% of total)
ival-add: 1.0ms (7.8% of total)
ival-sqrt: 1.0ms (7.8% of total)
ival-pow2: 1.0ms (7.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
-12.3MiB live, 26.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.2744190054060931e-89
4.443890374769415e-89
Samples
10.0ms80×0valid
Compiler

Compiled 130 to 98 computations (24.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 2.0ms (25.9% of total)
ival-pow2: 2.0ms (25.9% of total)
ival-div: 1.0ms (13% of total)
ival-cos: 1.0ms (13% of total)
ival-sqrt: 1.0ms (13% of total)
ival-add: 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)

bsearch26.0ms (0.2%)

Memory
2.4MiB live, 43.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
8.70759499908739e-95
1.2744190054060931e-89
Samples
19.0ms144×0valid
Compiler

Compiled 147 to 122 computations (17% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 6.0ms (40.7% of total)
ival-mult: 4.0ms (27.2% of total)
ival-div: 2.0ms (13.6% of total)
ival-add: 1.0ms (6.8% of total)
ival-sqrt: 1.0ms (6.8% of total)
ival-pow2: 1.0ms (6.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify18.0ms (0.2%)

Memory
-14.4MiB live, 23.9MiB allocated
Algorithm
1×egg-herbie
Rules
70×*-commutative_binary64
46×+-commutative_binary64
36×sub-neg_binary64
32×neg-sub0_binary64
32×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078250
1130248
2172248
3202248
4228248
5240248
6245248
7246248
Stop Event
1×saturated
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)) (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 9999999999999999595662034753429788238255624467393741467120915117996487670031669885400803025551745174706847878231119663145222863482996149222332143382301002459214758820269116923021527058285459686414683385913622455551313826420028155008403585629126369847605750170289266545852965785882018353801250996224 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))))) U))
(if (<=.f64 J #s(literal 2522847163920369/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624 binary64)) (-.f64 (*.f64 J (/.f64 (*.f64 J #s(literal -2 binary64)) U)) U) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (*.f64 #s(literal -2 binary64) J))))))))
(if (<=.f64 J #s(literal 7609262091395231/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) U) (*.f64 J #s(literal -2 binary64))) J) U) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal -2 binary64) J))))))))
(if (<=.f64 J #s(literal 13792459867793/1532495540865888858358347027150309183618739122183602176 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) U) (*.f64 J #s(literal -2 binary64))) J) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(if (<=.f64 J #s(literal 5523849527140279/12554203470773361527671578846415332832204710888928069025792 binary64)) (-.f64 (*.f64 J (/.f64 (*.f64 J #s(literal -2 binary64)) U)) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(if (<=.f64 U #s(literal 537538738122673/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (*.f64 J #s(literal -2 binary64)) (-.f64 (*.f64 J (/.f64 (*.f64 J #s(literal -2 binary64)) U)) U))
(if (<=.f64 U #s(literal 2348542582773833/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (*.f64 J #s(literal -2 binary64)) (neg.f64 U))
(neg.f64 U)
U
Outputs
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (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 9999999999999999595662034753429788238255624467393741467120915117996487670031669885400803025551745174706847878231119663145222863482996149222332143382301002459214758820269116923021527058285459686414683385913622455551313826420028155008403585629126369847605750170289266545852965785882018353801250996224 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))))) 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (-.f64 #s(literal 0 binary64) 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal 9999999999999999595662034753429788238255624467393741467120915117996487670031669885400803025551745174706847878231119663145222863482996149222332143382301002459214758820269116923021527058285459686414683385913622455551313826420028155008403585629126369847605750170289266545852965785882018353801250996224 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) U))
(if (<=.f64 J #s(literal 2522847163920369/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624 binary64)) (-.f64 (*.f64 J (/.f64 (*.f64 J #s(literal -2 binary64)) U)) U) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (*.f64 #s(literal -2 binary64) J))))))))
(if (<=.f64 J #s(literal 2522847163920369/4671939192445127903888559724237098316690665991422525368913093138328857771221685643782054718788988313373329725003360673086145233634688448510210725191395547328770042546544911308884863172860522266624 binary64)) (-.f64 (*.f64 J (/.f64 (*.f64 #s(literal -2 binary64) J) U)) U) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 K #s(literal 2 binary64)))))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))))))
(if (<=.f64 J #s(literal 7609262091395231/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) U) (*.f64 J #s(literal -2 binary64))) J) U) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 U (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (*.f64 #s(literal -2 binary64) J))))))))
(if (<=.f64 J #s(literal 7609262091395231/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) (-.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) U))) U) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))))))
(if (<=.f64 J #s(literal 13792459867793/1532495540865888858358347027150309183618739122183602176 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) U) (*.f64 J #s(literal -2 binary64))) J) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(if (<=.f64 J #s(literal 13792459867793/1532495540865888858358347027150309183618739122183602176 binary64)) (-.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 K))) U))) U) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(if (<=.f64 J #s(literal 5523849527140279/12554203470773361527671578846415332832204710888928069025792 binary64)) (-.f64 (*.f64 J (/.f64 (*.f64 J #s(literal -2 binary64)) U)) U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(if (<=.f64 J #s(literal 5523849527140279/12554203470773361527671578846415332832204710888928069025792 binary64)) (-.f64 (*.f64 J (/.f64 (*.f64 #s(literal -2 binary64) J) U)) U) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(if (<=.f64 U #s(literal 537538738122673/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (*.f64 J #s(literal -2 binary64)) (-.f64 (*.f64 J (/.f64 (*.f64 J #s(literal -2 binary64)) U)) U))
(if (<=.f64 U #s(literal 537538738122673/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (*.f64 #s(literal -2 binary64) J) (-.f64 (*.f64 J (/.f64 (*.f64 #s(literal -2 binary64) J) U)) U))
(if (<=.f64 U #s(literal 2348542582773833/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (*.f64 J #s(literal -2 binary64)) (neg.f64 U))
(if (<=.f64 U #s(literal 2348542582773833/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (*.f64 #s(literal -2 binary64) J) (-.f64 #s(literal 0 binary64) U))
(neg.f64 U)
(-.f64 #s(literal 0 binary64) U)
U

soundness1.4s (11.4%)

Memory
40.6MiB live, 1 026.9MiB allocated
Rules
19 354×accelerator-lowering-fma.f32
19 354×accelerator-lowering-fma.f64
17 054×accelerator-lowering-fma.f32
17 054×accelerator-lowering-fma.f64
11 826×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033200
1209190
22749182
09220178
03603717
111533609
245143477
084993319
01766
16866
242066
3434866
0811366
04246036
113025902
245225828
087415602
041276
1208250
21649244
08599242
06339696
120999493
279919493
080128966
Stop Event
1×fuel
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
1×node limit
Compiler

Compiled 525 to 278 computations (47% saved)

preprocess219.0ms (1.8%)

Memory
-21.4MiB live, 414.8MiB allocated
Remove

(abs K)

Compiler

Compiled 2 262 to 680 computations (69.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...