Maksimov and Kolovsky, Equation (3)

Time bar (total: 12.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze334.0ms (2.8%)

Memory
-4.3MiB live, 443.6MiB 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)

sample1.6s (13.3%)

Memory
13.3MiB live, 2 361.1MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 925.0ms
ival-mult: 343.0ms (37.1% of total)
ival-cos: 239.0ms (25.8% of total)
ival-div: 126.0ms (13.6% of total)
ival-pow2: 84.0ms (9.1% of total)
ival-sqrt: 64.0ms (6.9% of total)
ival-add: 49.0ms (5.3% of total)
exact: 12.0ms (1.3% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain322.0ms (2.7%)

Memory
21.4MiB live, 292.7MiB 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))))
310-0-(*.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)
0139(-1.1753646976802632e-184 -1.2469275896066122e+235 -9.226423090313388e+88)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)))sensitivity1390
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))))overflow31
↳(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))overflow31
↳(+.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)))overflow71
↳(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))overflow71
*.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*o310
Confusion
Predicted +Predicted -
+710
-10580
Precision
0.4034090909090909
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7100
-105080
Precision?
0.4034090909090909
Recall?
1.0
Freqs
test
numberfreq
080
1142
234
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
105.0ms512×0valid
Compiler

Compiled 251 to 55 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-div: 27.0ms (34% of total)
ival-sqrt: 18.0ms (22.7% of total)
ival-mult: 14.0ms (17.6% of total)
ival-cos: 12.0ms (15.1% of total)
ival-pow2: 5.0ms (6.3% of total)
ival-add: 2.0ms (2.5% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess106.0ms (0.9%)

Memory
-17.0MiB live, 66.8MiB allocated
Algorithm
1×egg-herbie
Rules
1 014×neg-mul-1
984×distribute-lft-neg-in
852×lower-*.f32
842×lower-*.f64
842×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070228
1182216
2603216
32240216
44090216
56770216
01724
02824
14424
28724
321124
460924
5112124
6153224
7159524
8161224
9162324
10162524
11162524
12162524
0162524
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #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)))))
Symmetry

(abs U)

(abs K)

(negabs J)

Compiler

Compiled 27 to 17 computations (37% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶73.7%
(*.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)

simplify57.0ms (0.5%)

Memory
1.6MiB live, 39.9MiB 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×lower-*.f32
842×lower-*.f64
786×associate-*r/
758×lower-/.f32
754×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017110
028110
144110
287110
3211110
4609110
51121110
61532110
71595110
81612110
91623110
101625110
111625110
121625110
01625110
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #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)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(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))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))

localize70.0ms (0.6%)

Memory
10.8MiB live, 49.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
accuracy0.205410009768442
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy7.352983765842975
(*.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)))))
accuracy9.401974802854182
(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
34.0ms256×0valid
Compiler

Compiled 112 to 19 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 9.0ms (39.3% of total)
ival-cos: 6.0ms (26.2% of total)
ival-div: 3.0ms (13.1% of total)
ival-sqrt: 2.0ms (8.7% of total)
ival-pow2: 2.0ms (8.7% of total)
ival-add: 1.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series62.0ms (0.5%)

Memory
-49.3MiB live, 25.3MiB allocated
Counts
7 → 192
Calls
Call 1
Inputs
#<alt (*.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)))))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) J)>
#<alt (cos.f64 (/.f64 K #s(literal 2 binary64)))>
#<alt (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))))>
#<alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))>
#<alt (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))>
Outputs
#<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>
#<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 (* 1/4 (/ (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 (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* 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 (* 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 (* 1/4 (/ (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 (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<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 (* -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 (* 1/4 (/ (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 (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
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#<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)))))))))))>
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#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
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#<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))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (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 (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 (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<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))))))>
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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 (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
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#<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 (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<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)))))))>
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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 (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 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 (* 1/4 (/ (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 (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<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 (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 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))))))>
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#<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 (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
Calls

9 calls:

TimeVariablePointExpression
22.0ms
K
@inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))))
7.0ms
K
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))))
7.0ms
K
@-inf
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))))
5.0ms
U
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))))
4.0ms
J
@0
((* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (/ U (* (* 2 J) (cos (/ K 2)))))

simplify318.0ms (2.6%)

Memory
33.4MiB live, 413.0MiB allocated
Algorithm
1×egg-herbie
Rules
15 100×lower-fma.f64
15 100×lower-fma.f32
7 328×lower-*.f64
7 328×lower-*.f32
4 030×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03894135
112714017
250383871
085183709
Stop Event
1×iter limit
1×node limit
Counts
192 → 191
Calls
Call 1
Inputs
(* -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
(+ 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)))))))
(* 1/4 (/ (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))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* 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))
(* 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))))))
(* 1/4 (/ (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))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(* 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))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (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)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/2 (/ U J))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))) (* 1/16 (/ U J)))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* -1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -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))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(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))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* -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))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(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))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 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))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* -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))))
(* -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)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* 1/4 (/ (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))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (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 (+ (* -1/64 (/ (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 (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)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* 1/4 (/ (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))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
Outputs
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/64 binary64) (*.f64 J (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 J J)))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 J (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 J J))))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
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(*.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))))) (neg.f64 J))
(* -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 (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))) (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 J #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J)))))) (neg.f64 J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.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 4 binary64)))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.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 4 binary64)))) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.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 U U) #s(literal 1/4 binary64)) (*.f64 (*.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 U U) #s(literal 1/4 binary64)) (*.f64 (*.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 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))

rewrite318.0ms (2.6%)

Memory
-17.5MiB live, 457.6MiB allocated
Rules
3 552×lower-*.f32
3 542×lower-*.f64
3 418×lower-fma.f64
3 418×lower-fma.f32
2 050×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01776
02876
17976
243276
3436476
0812976
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 403
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
Outputs
(neg.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 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 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.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))))) (fma.f64 U (/.f64 U (*.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))))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.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 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.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))))) (fma.f64 U (/.f64 U (*.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))))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.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 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))))))
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)) (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64)))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))))))
(*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))))
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64)))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))))) J)
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))) J) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
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(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64) (*.f64 (log.f64 U) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64) (*.f64 (log.f64 U) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))))
(sqrt.f64 (/.f64 (*.f64 U U) (*.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))))))
(neg.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))))
(neg.f64 (*.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 U #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J U)))
(/.f64 (neg.f64 U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) U))
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (neg.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) U))
(/.f64 (/.f64 U (*.f64 #s(literal -2 binary64) J)) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 J #s(literal 2 binary64)) U))
(/.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64)))
(/.f64 (/.f64 U J) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (exp.f64 (log.f64 U)) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))))
(/.f64 (exp.f64 (log.f64 (neg.f64 U))) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)))))
(/.f64 (exp.f64 (log.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))))) (exp.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 U #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)))
(/.f64 (neg.f64 (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) J))
(/.f64 (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 (neg.f64 U) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)))
(/.f64 (/.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) J))
(/.f64 (/.f64 (neg.f64 U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(/.f64 (/.f64 (neg.f64 U) J) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(/.f64 (/.f64 (neg.f64 U) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(/.f64 (/.f64 (neg.f64 U) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U) (*.f64 J #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 U #s(literal 1/2 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 U (*.f64 #s(literal -2 binary64) J))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal -2 binary64) J)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 U #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 J #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (neg.f64 U) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) J))
(/.f64 (*.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(/.f64 (*.f64 (/.f64 U J) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
(/.f64 (/.f64 (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) J)
(pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 U U) (*.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))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -1 binary64))
(pow.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)))) U) U) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 U #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))
(*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J U))))
(*.f64 (neg.f64 U) (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (neg.f64 U) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))))
(*.f64 (/.f64 U (*.f64 #s(literal -2 binary64) J)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (neg.f64 U))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (/.f64 U J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (exp.f64 (log.f64 U)) (exp.f64 (neg.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal -1 binary64) J) (/.f64 U (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 U (*.f64 #s(literal -2 binary64) J)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 J #s(literal 2 binary64))) (/.f64 U (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 U #s(literal -2 binary64)))
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 U J))

eval95.0ms (0.8%)

Memory
1.7MiB live, 278.0MiB allocated
Compiler

Compiled 20 089 to 2 332 computations (88.4% saved)

prune108.0ms (0.9%)

Memory
23.9MiB live, 266.2MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New59913612
Fresh000
Picked101
Done000
Total60013613
Accuracy
99.9%
Counts
613 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.7%
(*.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 1/2 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 1/2 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)))))
63.9%
(*.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 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64)))))
▶71.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
56.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (neg.f64 U)) (*.f64 (*.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 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) J)))))))
11.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
▶53.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
▶62.1%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
37.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.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)) (neg.f64 U)))
▶50.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
30.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
12.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
53.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
▶37.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
Compiler

Compiled 672 to 442 computations (34.2% saved)

simplify256.0ms (2.1%)

Memory
15.6MiB live, 354.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.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))))))
cost-diff320
(*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))
cost-diff320
(*.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))))
cost-diff640
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff0
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
cost-diff0
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
cost-diff0
(*.f64 #s(literal -2 binary64) J)
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
cost-diff384
(/.f64 K #s(literal 2 binary64))
cost-diff0
(neg.f64 U)
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
cost-diff384
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))
cost-diff384
(/.f64 K #s(literal 2 binary64))
cost-diff640
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
cost-diff640
(*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))
Rules
4 898×lower-*.f32
4 858×lower-*.f64
3 926×lower-/.f32
3 914×lower-/.f64
3 724×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062655
0104642
1205588
2508530
31331530
43060530
53325530
63990530
75282530
86718530
96718530
08746517
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))
#s(literal 1 binary64)
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64))))
U
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(*.f64 J #s(literal 2 binary64))
(*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
#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)))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
U
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
U
(*.f64 J J)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(literal -2 binary64)
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
#s(literal -1/4 binary64)
(*.f64 U U)
U
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64)))
(fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))
U
(/.f64 U (*.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 #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 #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))))))
#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)))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 K #s(literal 1/2 binary64))
K
(*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))
(*.f64 J #s(literal 2 binary64))
J
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(literal -2 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 J (*.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(/.f64 K #s(literal 2 binary64))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 J (*.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))
(fma.f64 U (/.f64 U (*.f64 J (*.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 U U) (*.f64 J (*.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64)))))
(*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64))))
(/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64)))
U
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(*.f64 J #s(literal 2 binary64))
(*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))
(fma.f64 J (cos.f64 K) J)
(+.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))))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
#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 #s(literal 1/2 binary64) (cos.f64 K))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 K)
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
K
(*.f64 K #s(literal 1/2 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
U
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(/.f64 K #s(literal 2 binary64))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 2 binary64)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
U
(*.f64 J J)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
#s(literal -2 binary64)
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(*.f64 U (*.f64 U #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)
(*.f64 U U)
U
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 J (*.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 J (*.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 J (*.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))
(fma.f64 U (/.f64 U (*.f64 J (*.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64))))) #s(literal 1 binary64))
U
(/.f64 U (*.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 U (*.f64 J (*.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 K) #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 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))
(*.f64 J (*.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 K) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
#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 #s(literal 1/2 binary64) (cos.f64 K))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 K)
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
K
#s(literal 2 binary64)
(*.f64 K #s(literal 1/2 binary64))
K
(*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))
(*.f64 J (*.f64 J #s(literal 4 binary64)))
(*.f64 J #s(literal 2 binary64))
J
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(literal -2 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))

localize239.0ms (2%)

Memory
-30.4MiB live, 460.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy2.8730916855803117
(fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))
accuracy6.525221255574362
(/.f64 U (*.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)))))
accuracy7.575279390201974
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
accuracy9.401974802854182
(sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64)))
accuracy0.0078125
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
accuracy0.10546875
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy6.983989213811694
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
accuracy29.19765833563967
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
accuracy7.352983765842975
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
accuracy9.382900565461028
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
accuracy9.466819967063397
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
accuracy14.578787716527328
(/.f64 (*.f64 U U) (*.f64 J J))
accuracy0
(neg.f64 U)
accuracy40.16210803911592
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy0.6731233562413037
(+.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))))))
accuracy2.5031422451815084
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))
accuracy7.352983765842975
(*.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 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
accuracy9.401974802854182
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))
Samples
151.0ms256×0valid
Compiler

Compiled 616 to 59 computations (90.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-mult: 47.0ms (43% of total)
ival-cos: 24.0ms (22% of total)
ival-add: 17.0ms (15.6% of total)
ival-div: 11.0ms (10.1% of total)
ival-sqrt: 6.0ms (5.5% of total)
ival-pow2: 2.0ms (1.8% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series144.0ms (1.2%)

Memory
27.8MiB live, 219.4MiB allocated
Counts
27 → 708
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))>
#<alt (/.f64 K #s(literal 2 binary64))>
#<alt (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))>
#<alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))>
#<alt (neg.f64 U)>
#<alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) J)>
#<alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))>
#<alt (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))>
#<alt (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) K))>
#<alt (*.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))))>
#<alt (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))>
#<alt (+.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))))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))>
#<alt (*.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 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))>
#<alt (/.f64 (*.f64 U U) (*.f64 J J))>
#<alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))>
#<alt (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))>
#<alt (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -1/4 binary64) (*.f64 U U))>
#<alt (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64)))>
#<alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)>
#<alt (/.f64 U (*.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)))))>
#<alt (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))>
Outputs
#<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 (* -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 (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<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 (* -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 (* -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)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (+ 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)))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (/ (pow U 2) (pow J 2))>
#<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>
#<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 (* -1/4 (/ (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))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (+ 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)))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))>
#<alt (* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 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 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 (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
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#<alt 1>
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#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
Calls

9 calls:

TimeVariablePointExpression
38.0ms
J
@inf
((* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (* 2 (* K 1/2)) (/ K 2) (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (* J (cos (* 1/2 K))) (cos (* 1/2 K)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (* (* J 2) (* J 2)) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (/ (* U U) (* J J)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))) (* -1/4 (* U U)) (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* (* (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* -2 (cos (* K 1/2)))) J) (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1))
15.0ms
U
@-inf
((* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (* 2 (* K 1/2)) (/ K 2) (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (* J (cos (* 1/2 K))) (cos (* 1/2 K)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (* (* J 2) (* J 2)) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (/ (* U U) (* J J)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))) (* -1/4 (* U U)) (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* (* (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* -2 (cos (* K 1/2)))) J) (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1))
10.0ms
K
@inf
((* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (* 2 (* K 1/2)) (/ K 2) (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (* J (cos (* 1/2 K))) (cos (* 1/2 K)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (* (* J 2) (* J 2)) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (/ (* U U) (* J J)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))) (* -1/4 (* U U)) (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* (* (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* -2 (cos (* K 1/2)))) J) (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1))
10.0ms
J
@0
((* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (* 2 (* K 1/2)) (/ K 2) (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (* J (cos (* 1/2 K))) (cos (* 1/2 K)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (* (* J 2) (* J 2)) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (/ (* U U) (* J J)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))) (* -1/4 (* U U)) (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* (* (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* -2 (cos (* K 1/2)))) J) (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1))
8.0ms
U
@inf
((* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (* 2 (* K 1/2)) (/ K 2) (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (* J (cos (* 1/2 K))) (cos (* 1/2 K)) (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))) (* (* J 2) (* J 2)) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (/ (* U U) (* J J)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K)))) (* -1/4 (* U U)) (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* (* (sqrt (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1)) (* -2 (cos (* K 1/2)))) J) (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1))

simplify391.0ms (3.2%)

Memory
-28.5MiB live, 589.5MiB allocated
Algorithm
1×egg-herbie
Rules
14 104×lower-fma.f64
14 104×lower-fma.f32
9 716×lower-*.f64
9 716×lower-*.f32
4 862×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079317721
1260417205
0866616078
Stop Event
1×iter limit
1×node limit
Counts
708 → 692
Calls
Call 1
Inputs
(* 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))))))
(* -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)
(* -1 U)
(* -1 U)
(* -1 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)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -2 (* 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))))))))
(* -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
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+ 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)))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
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
(+ 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))))))
(* -1/4 (/ (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))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+ 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)))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 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 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))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -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))
(* -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))
(* -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)))))))
(* 1/2 (* (/ 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 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))))))
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 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))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
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U
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(* -1 U)
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U
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U
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K
K
K
K
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(* -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
(+ 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)))))))))
(* -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))))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 1/2 (* 1/2 (cos K)))))
(* 2 (* J (+ 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))))))
(* -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 (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 (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 (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 (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))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))
(* 4 (pow J 2))
(* 4 (pow J 2))
(* 4 (pow J 2))
(* 4 (pow J 2))
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)))))))))
(* -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))))))))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
(/ (pow U 2) (pow J 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
1
(+ 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) (* 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
(+ 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)))))))))
(* -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))))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
Outputs
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 J (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 J (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 J (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 J (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 J (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 J (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 J (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 J (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 J (*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(+ 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)))))))))
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
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J
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(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(+.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64)))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal 1 binary64)))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1/8 binary64) #s(literal 1 binary64))
(+ 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))))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1/8 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+ 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)))))))))
(+.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 1 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) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))) (neg.f64 J))
(* -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)))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (neg.f64 J))
(* -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))))))))
(neg.f64 (*.f64 J (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 4 binary64))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(* 1/4 (/ U (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1 binary64))

rewrite318.0ms (2.6%)

Memory
20.4MiB live, 447.4MiB allocated
Rules
5 046×lower-fma.f32
5 040×lower-fma.f64
5 014×lower-/.f32
5 002×lower-/.f64
3 686×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062451
0104405
1352362
22448358
08902358
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 879
Calls
Call 1
Inputs
(*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
(/.f64 K #s(literal 2 binary64))
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.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 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
(/.f64 (*.f64 U U) (*.f64 J J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(/.f64 U (*.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)))))
(fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))
Outputs
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))
(+.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64))) (-.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))))
(fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
(fma.f64 J (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 J (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))))) (*.f64 J #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 J #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
(fma.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
(fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (*.f64 J #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 2 binary64))) (*.f64 J #s(literal 1 binary64)))
(fma.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) J (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
(fma.f64 (*.f64 J #s(literal 1 binary64)) (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 2 binary64)) J (*.f64 J #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64) (*.f64 J #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) J) #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) J) #s(literal 2 binary64) (*.f64 J #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))))) (fma.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 J #s(literal 1 binary64)) (*.f64 J #s(literal 1 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))) #s(literal 2 binary64)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)) #s(literal -1 binary64)) (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -6 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -6 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -6 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)) (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)) (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)) (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)) (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal -1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J))))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (*.f64 J (*.f64 #s(literal 4 binary64) J)))))))

eval357.0ms (3%)

Memory
3.4MiB live, 507.1MiB allocated
Compiler

Compiled 60 332 to 5 268 computations (91.3% saved)

prune305.0ms (2.5%)

Memory
22.3MiB live, 441.8MiB allocated
Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New1 730271 757
Fresh628
Picked415
Done000
Total1 740301 770
Accuracy
99.9%
Counts
1 770 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.7%
(*.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 1/2 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 1/2 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)))))
23.7%
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 J (*.f64 #s(literal 4 binary64) J) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
71.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))))) (*.f64 J #s(literal 2 binary64))))))
11.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
3.3%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal -1 binary64))))))
57.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
63.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
63.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 (/.f64 U J) U))) #s(literal 1 binary64)))))
25.3%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J))))
24.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))))
▶23.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
▶73.6%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
62.1%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U #s(approx (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
53.0%
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
57.6%
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
26.5%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
30.8%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
▶54.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
13.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
▶21.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
13.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))))))
21.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U)))))
12.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 U U)) #s(literal -1 binary64))))
53.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
✓37.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
▶23.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
25.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
5.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
23.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (*.f64 (*.f64 U U) (fma.f64 J (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
50.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Compiler

Compiled 1 466 to 936 computations (36.2% saved)

simplify443.0ms (3.7%)

Memory
-148.8MiB live, 262.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
cost-diff0
(*.f64 U #s(literal -1/4 binary64))
cost-diff0
(fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
cost-diff384
(/.f64 K #s(literal 2 binary64))
cost-diff448
(*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
cost-diff0
(*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64))))
cost-diff0
#s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
cost-diff1024
(fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))
cost-diff0
(*.f64 U (neg.f64 U))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
cost-diff192
(+.f64 #s(literal 0 binary64) U)
cost-diff1024
(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
cost-diff320
(*.f64 J #s(literal 1 binary64))
cost-diff320
(*.f64 K #s(literal 1 binary64))
cost-diff320
(fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
cost-diff384
(fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
Rules
5 490×lower-fma.f32
5 478×lower-fma.f64
3 690×lower-*.f32
3 648×lower-*.f64
1 962×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086702
0137658
1270658
2738638
31867635
43330635
54759635
65986635
77055635
87744635
08009613
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))))
U
(fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
J
#s(literal 1 binary64)
(*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))
(cos.f64 (*.f64 K #s(literal 1 binary64)))
(*.f64 K #s(literal 1 binary64))
K
(*.f64 J #s(literal 1 binary64))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(literal -2 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
(*.f64 U (neg.f64 U))
U
(neg.f64 U)
(+.f64 #s(literal 0 binary64) U)
#s(literal 0 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
#s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
(fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))
K
(*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64))))
(fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))
#s(literal 1/4 binary64)
J
(*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64))
(/.f64 (*.f64 U U) J)
(*.f64 U U)
U
#s(literal -1/32 binary64)
(fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
#s(literal -2 binary64)
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
U
(+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 J (*.f64 U U))
(*.f64 U U)
(/.f64 #s(literal 1/2 binary64) J)
#s(literal 1/2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 U #s(literal -1/4 binary64))
U
#s(literal -1/4 binary64)
(/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 J (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 J (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 J (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 U (/.f64 U (*.f64 J (*.f64 (fma.f64 J (cos.f64 K) J) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))))
(/.f64 U (fma.f64 J (cos.f64 K) J))
U
(fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
(fma.f64 J (cos.f64 K) J)
J
#s(literal 1 binary64)
(*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))
(*.f64 J (cos.f64 K))
(cos.f64 (*.f64 K #s(literal 1 binary64)))
(cos.f64 K)
(*.f64 K #s(literal 1 binary64))
K
K
(*.f64 J #s(literal 1 binary64))
J
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(literal -2 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
(neg.f64 U)
(*.f64 U (neg.f64 U))
(neg.f64 (*.f64 U U))
U
(neg.f64 U)
(+.f64 #s(literal 0 binary64) U)
U
#s(literal 0 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 (/.f64 (*.f64 U U) J) (fma.f64 K (*.f64 K #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))))))
#s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
#s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 (/.f64 (*.f64 U U) J) (fma.f64 K (*.f64 K #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))))
(fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))
(fma.f64 (/.f64 (*.f64 U U) J) (fma.f64 K (*.f64 K #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))))
K
(*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64))))
(*.f64 K (fma.f64 J #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64))))
(fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))
(fma.f64 J #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))
#s(literal 1/4 binary64)
J
(*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64))
(/.f64 (*.f64 U U) J)
(*.f64 U U)
U
#s(literal -1/32 binary64)
(fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
(fma.f64 J #s(literal -2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J)))
#s(literal -2 binary64)
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(*.f64 U (*.f64 U #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(/.f64 K #s(literal 2 binary64))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 2 binary64)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U))))
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))
(*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U))
U
(+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 J (*.f64 U U))
(*.f64 U U)
(/.f64 #s(literal 1/2 binary64) J)
#s(literal 1/2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 U #s(literal -1/4 binary64))
U
#s(literal -1/4 binary64)
(/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)

localize263.0ms (2.2%)

Memory
-8.1MiB live, 512.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.10546875
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy0.10546875
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy0.11328125
(/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
accuracy29.19765833563967
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
accuracy7.352983765842975
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
accuracy8.061573918914466
(*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
accuracy9.466819967063397
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
accuracy31.447898818654735
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
accuracy6.979184769998059
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)
accuracy6.985920102852458
(/.f64 (*.f64 U U) J)
accuracy29.19765833563967
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
accuracy30.460843246935003
#s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
accuracy0
(*.f64 U (neg.f64 U))
accuracy0
(neg.f64 U)
accuracy28.623514556582144
(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
accuracy40.16210803911592
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
accuracy0.1171875
(/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))))
accuracy0.606506139802494
(fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
accuracy7.575279390201974
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
accuracy9.401974802854182
(sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
Samples
177.0ms256×0valid
Compiler

Compiled 557 to 77 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-mult: 62.0ms (42.5% of total)
ival-cos: 25.0ms (17.1% of total)
ival-div: 23.0ms (15.8% of total)
ival-add: 23.0ms (15.8% of total)
ival-sqrt: 8.0ms (5.5% of total)
ival-pow2: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series114.0ms (0.9%)

Memory
4.1MiB live, 200.1MiB allocated
Counts
30 → 792
Calls
Call 1
Inputs
#<alt (fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))>
#<alt (*.f64 K #s(literal 1 binary64))>
#<alt (*.f64 J #s(literal 1 binary64))>
#<alt (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))>
#<alt (+.f64 #s(literal 0 binary64) U)>
#<alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))>
#<alt (*.f64 U (neg.f64 U))>
#<alt (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))>
#<alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))>
#<alt #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))>
#<alt (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64))))>
#<alt (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))>
#<alt (/.f64 K #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))>
#<alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))>
#<alt (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 U #s(literal -1/4 binary64))>
#<alt (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)>
#<alt (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))))>
#<alt (neg.f64 U)>
#<alt (/.f64 (*.f64 U U) J)>
#<alt (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)>
#<alt #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))>
#<alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))>
#<alt (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))>
#<alt (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<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 (pow U 2))>
#<alt (* -1 (pow U 2))>
#<alt (* -1 (pow U 2))>
#<alt (* -1 (pow U 2))>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (- (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J))))))>
#<alt (+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (- (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J))))))>
#<alt (+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (- (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J))))))>
#<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 (* -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)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (* 1/4 (* J K))>
#<alt (+ (* -1/32 (/ (* K (pow U 2)) J)) (* 1/4 (* J K)))>
#<alt (+ (* -1/32 (/ (* K (pow U 2)) J)) (* 1/4 (* J K)))>
#<alt (+ (* -1/32 (/ (* K (pow U 2)) J)) (* 1/4 (* J K)))>
#<alt (/ J U)>
#<alt (/ (+ J (* 1/2 (/ (pow U 2) J))) U)>
#<alt (/ (+ J (* 1/2 (/ (pow U 2) J))) U)>
#<alt (/ (+ J (* 1/2 (/ (pow U 2) J))) U)>
#<alt (* -2 (* J (cos (* 1/2 K))))>
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#<alt (+ 1 (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* -1/128 (/ (pow U 6) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -1 (/ U (* J (- (* -1 (cos K)) 1))))>
#<alt (* -1 (/ U (* J (- (* -1 (cos K)) 1))))>
#<alt (* -1 (/ U (* J (- (* -1 (cos K)) 1))))>
#<alt (* -1 (/ U (* J (- (* -1 (cos K)) 1))))>
#<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>
#<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) (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 (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* 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))))>
Calls

9 calls:

TimeVariablePointExpression
23.0ms
K
@0
((+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1) (+ (* J 1) (* (cos (* K 1)) (* J 1))) (* K 1) (* J 1) (/ (* U (neg U)) (+ 0 U)) (+ 0 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* U (neg U)) (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32))) (* U (+ (/ J (* U U)) (/ 1/2 J))) (/ K 2) (* (* (* -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)))) (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (* U -1/4) (/ U (* J (cos (* 1/2 K)))) (sqrt (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1)) (* (* (sqrt (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) J) (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (neg U) (/ (* U U) J) (/ (* (* U U) -1/4) J) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J (cos (* 1/2 K))) (* (* J -2) (cos (* 1/2 K))))
11.0ms
U
@0
((+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1) (+ (* J 1) (* (cos (* K 1)) (* J 1))) (* K 1) (* J 1) (/ (* U (neg U)) (+ 0 U)) (+ 0 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* U (neg U)) (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32))) (* U (+ (/ J (* U U)) (/ 1/2 J))) (/ K 2) (* (* (* -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)))) (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (* U -1/4) (/ U (* J (cos (* 1/2 K)))) (sqrt (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1)) (* (* (sqrt (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) J) (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (neg U) (/ (* U U) J) (/ (* (* U U) -1/4) J) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J (cos (* 1/2 K))) (* (* J -2) (cos (* 1/2 K))))
9.0ms
U
@inf
((+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1) (+ (* J 1) (* (cos (* K 1)) (* J 1))) (* K 1) (* J 1) (/ (* U (neg U)) (+ 0 U)) (+ 0 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* U (neg U)) (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32))) (* U (+ (/ J (* U U)) (/ 1/2 J))) (/ K 2) (* (* (* -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)))) (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (* U -1/4) (/ U (* J (cos (* 1/2 K)))) (sqrt (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1)) (* (* (sqrt (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) J) (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (neg U) (/ (* U U) J) (/ (* (* U U) -1/4) J) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J (cos (* 1/2 K))) (* (* J -2) (cos (* 1/2 K))))
8.0ms
K
@-inf
((+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1) (+ (* J 1) (* (cos (* K 1)) (* J 1))) (* K 1) (* J 1) (/ (* U (neg U)) (+ 0 U)) (+ 0 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* U (neg U)) (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32))) (* U (+ (/ J (* U U)) (/ 1/2 J))) (/ K 2) (* (* (* -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)))) (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (* U -1/4) (/ U (* J (cos (* 1/2 K)))) (sqrt (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1)) (* (* (sqrt (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) J) (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (neg U) (/ (* U U) J) (/ (* (* U U) -1/4) J) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J (cos (* 1/2 K))) (* (* J -2) (cos (* 1/2 K))))
7.0ms
J
@-inf
((+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1) (+ (* J 1) (* (cos (* K 1)) (* J 1))) (* K 1) (* J 1) (/ (* U (neg U)) (+ 0 U)) (+ 0 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* U (neg U)) (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32))) (* U (+ (/ J (* U U)) (/ 1/2 J))) (/ K 2) (* (* (* -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)))) (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (* U -1/4) (/ U (* J (cos (* 1/2 K)))) (sqrt (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1)) (* (* (sqrt (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) J) (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (neg U) (/ (* U U) J) (/ (* (* U U) -1/4) J) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* J (cos (* 1/2 K))) (* (* J -2) (cos (* 1/2 K))))

simplify340.0ms (2.8%)

Memory
28.2MiB live, 459.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 490×lower-fma.f64
8 490×lower-fma.f32
6 742×lower-*.f64
6 742×lower-*.f32
6 016×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097317158
1317716835
0819815840
Stop Event
1×iter limit
1×node limit
Counts
792 → 751
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
U
U
U
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)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -1 (pow U 2))
(* -1 (pow U 2))
(* -1 (pow U 2))
(* -1 (pow U 2))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (- (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J))))))
(+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (- (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J))))))
(+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (- (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J))))))
(* -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))))))))
(* -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 (* J K))
(+ (* -1/32 (/ (* K (pow U 2)) J)) (* 1/4 (* J K)))
(+ (* -1/32 (/ (* K (pow U 2)) J)) (* 1/4 (* J K)))
(+ (* -1/32 (/ (* K (pow U 2)) J)) (* 1/4 (* J K)))
(/ J U)
(/ (+ J (* 1/2 (/ (pow U 2) J))) U)
(/ (+ J (* 1/2 (/ (pow U 2) J))) U)
(/ (+ J (* 1/2 (/ (pow U 2) J))) 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)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -2 (* 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))))))))
(* -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 U)
(* -1/4 U)
(* -1/4 U)
(* -1/4 U)
(/ U (* J (cos (* 1/2 K))))
(/ U (* J (cos (* 1/2 K))))
(/ U (* J (cos (* 1/2 K))))
(/ U (* J (cos (* 1/2 K))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* (pow U 2) (+ (* -1/32 (/ (pow U 2) (* (pow J 2) (pow (+ J (* J (cos K))) 2)))) (* 1/4 (/ 1 (* J (+ J (* J (cos K)))))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/128 (/ (pow U 2) (* (pow J 3) (pow (+ J (* J (cos K))) 3)))) (* 1/32 (/ 1 (* (pow J 2) (pow (+ J (* J (cos K))) 2)))))) (* 1/4 (/ 1 (* J (+ J (* J (cos K)))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (+ J (* J (cos K))))))
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(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (+ J (* J (cos K))) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* J (pow (+ J (* J (cos K))) 2)))))))))
(/ U (+ J (* J (cos K))))
(/ U (+ J (* J (cos K))))
(/ U (+ J (* J (cos K))))
(/ U (+ J (* J (cos K))))
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(* -1 U)
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(/ (pow U 2) J)
(/ (pow U 2) J)
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(* -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
(+ 1 (* 1/8 (/ (pow U 2) (pow J 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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(+ 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 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
U
U
U
U
(* -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))
(* -1 (pow U 2))
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(* (pow U 2) (- (+ (* -2 (/ J (pow U 2))) (+ (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ (* J (pow K 2)) (pow U 2))))) (* 1/4 (/ 1 J))))
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(* -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))
(* -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)))))))
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(* (pow U 2) (+ (* -1/32 (/ K J)) (* 1/4 (/ (* J K) (pow U 2)))))
(* 1/2 (/ U J))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
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(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* 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 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(+ 1 (* -1/2 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(* -1 (* J (- (* -1 (cos K)) 1)))
(* -1 (* J (- (* -1 (cos K)) 1)))
(* -1 (* J (- (* -1 (cos K)) 1)))
(* -1 (* J (- (* -1 (cos K)) 1)))
J
J
J
J
(* -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))))))))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ 2 (+ (* -1/4 (pow K 2)) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -1 (* J (+ 2 (+ (* -1/4 (pow K 2)) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -1 (* J (+ 2 (+ (* -1/4 (pow K 2)) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -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 (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))))))
(* 1/4 (* J K))
(* -1 (* J (+ (* -1/4 K) (* 1/32 (/ (* K (pow U 2)) (pow J 2))))))
(* -1 (* J (+ (* -1/4 K) (* 1/32 (/ (* K (pow U 2)) (pow J 2))))))
(* -1 (* J (+ (* -1/4 K) (* 1/32 (/ (* K (pow U 2)) (pow J 2))))))
(/ J U)
(* -1 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U))))
(* -1 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U))))
(* -1 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U))))
(* -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 (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 (* 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 (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))))))
(/ U (* J (cos (* 1/2 K))))
(/ U (* J (cos (* 1/2 K))))
(/ U (* J (cos (* 1/2 K))))
(/ U (* J (cos (* 1/2 K))))
1
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(+ 1 (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2))))))
(+ 1 (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* -1/128 (/ (pow U 6) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))) (* 2 (cos (* 1/2 K))))))))
(* -1 (/ U (* J (- (* -1 (cos K)) 1))))
(* -1 (/ U (* J (- (* -1 (cos K)) 1))))
(* -1 (/ U (* J (- (* -1 (cos K)) 1))))
(* -1 (/ U (* J (- (* -1 (cos K)) 1))))
(/ (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
(+ 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) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* 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))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
U
U
U
U
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 J (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 J (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1 (pow U 2))
(*.f64 U (neg.f64 U))
(* -1 (pow U 2))
(*.f64 U (neg.f64 U))
(* -1 (pow U 2))
(*.f64 U (neg.f64 U))
(* -1 (pow U 2))
(*.f64 U (neg.f64 U))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
(+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (- (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J))))))
(fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 K K) J) (/.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
(+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (- (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J))))))
(fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 K K) J) (/.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
(+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (- (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J))))))
(fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 K K) J) (/.f64 #s(literal -1/4 binary64) J)) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 J (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 J (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(* 1/4 (* J K))
(*.f64 (*.f64 J #s(literal 1/4 binary64)) K)
(+ (* -1/32 (/ (* K (pow U 2)) J)) (* 1/4 (* J K)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 J K) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 U U) K)) J))
(+ (* -1/32 (/ (* K (pow U 2)) J)) (* 1/4 (* J K)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 J K) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 U U) K)) J))
(+ (* -1/32 (/ (* K (pow U 2)) J)) (* 1/4 (* J K)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 J K) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 U U) K)) J))
(/ J U)
(/.f64 J U)
(/ (+ J (* 1/2 (/ (pow U 2) J))) U)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) J) J) U)
(/ (+ J (* 1/2 (/ (pow U 2) J))) U)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) J) J) U)
(/ (+ J (* 1/2 (/ (pow U 2) J))) U)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) J) J) U)
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 J (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 J (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
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J
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K
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(neg.f64 (*.f64 J (fma.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 (*.f64 J (*.f64 J J)) J))))) (neg.f64 J))
(* -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 J (neg.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (*.f64 (*.f64 J (*.f64 J J)) J))) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 U #s(literal 6 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 J #s(literal 6 binary64)))))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(neg.f64 (*.f64 J (fma.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(neg.f64 (*.f64 J (fma.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(neg.f64 (*.f64 J (fma.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))))))
(/ U (* J (cos (* 1/2 K))))
(/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ U (* J (cos (* 1/2 K))))
(/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ U (* J (cos (* 1/2 K))))
(/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/ U (* J (cos (* 1/2 K))))
(/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(+ 1 (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2))))))
(fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 J (*.f64 J J)) J) (pow.f64 (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* -1/128 (/ (pow U 6) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 J (*.f64 J J)) J) (pow.f64 (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 6 binary64))) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)) #s(literal 3 binary64)))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (* 2 (cos (* 1/2 K))))))
(neg.f64 (*.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J J) (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)))))))
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* 2 (cos (* 1/2 K)))))))
(*.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 J (*.f64 J J)) J) (pow.f64 (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J J) (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)))))) (neg.f64 J))
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))) (* 2 (cos (* 1/2 K))))))))
(neg.f64 (*.f64 J (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)))) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 6 binary64))) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 J (*.f64 J J)) J) (pow.f64 (+.f64 (neg.f64 (cos.f64 K)) #s(literal -1 binary64)) #s(literal 2 binary64)))))))))
(* -1 (/ U (* J (- (* -1 (cos K)) 1))))
(neg.f64 (/.f64 U (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J))))
(* -1 (/ U (* J (- (* -1 (cos K)) 1))))
(neg.f64 (/.f64 U (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J))))
(* -1 (/ U (* J (- (* -1 (cos K)) 1))))
(neg.f64 (/.f64 U (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J))))
(* -1 (/ U (* J (- (* -1 (cos K)) 1))))
(neg.f64 (/.f64 U (fma.f64 (neg.f64 (cos.f64 K)) J (neg.f64 J))))
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(/ (pow U 2) J)
(/.f64 (*.f64 U U) J)
(* -1/4 (/ (pow U 2) J))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)
(* -1/4 (/ (pow U 2) J))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)
(* -1/4 (/ (pow U 2) J))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)
(* -1/4 (/ (pow U 2) J))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (*.f64 J (*.f64 J J)) J)) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(+.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (*.f64 J (*.f64 J J)) J)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 J (*.f64 J J)) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 J (*.f64 J J)) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))))))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))

rewrite278.0ms (2.3%)

Memory
-1.1MiB live, 434.0MiB allocated
Rules
4 648×lower-*.f32
4 606×lower-*.f64
3 904×lower-fma.f32
3 892×lower-fma.f64
3 400×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086541
0137508
1517490
24356482
08409470
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
30 → 633
Calls
Call 1
Inputs
(fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))
(*.f64 K #s(literal 1 binary64))
(*.f64 J #s(literal 1 binary64))
(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
(+.f64 #s(literal 0 binary64) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
(*.f64 U (neg.f64 U))
(fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
#s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
(*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64))))
(*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(/.f64 K #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 U #s(literal -1/4 binary64))
(/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))))
(neg.f64 U)
(/.f64 (*.f64 U U) J)
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 U (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 J (cos.f64 K) J)) (/.f64 U (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 U (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (fma.f64 J (cos.f64 K) J)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) (*.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (/.f64 U (fma.f64 J (cos.f64 K) J)) #s(literal 1 binary64))
(fma.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (*.f64 (/.f64 U (fma.f64 J (cos.f64 K) J)) #s(literal 1 binary64)) #s(literal 1 binary64))
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(*.f64 #s(literal -1 binary64) (/.f64 U (neg.f64 (fma.f64 J (cos.f64 K) J))))
(*.f64 (/.f64 U (fma.f64 J (*.f64 J J) (pow.f64 (*.f64 J (cos.f64 K)) #s(literal 3 binary64)))) (fma.f64 (*.f64 J (cos.f64 K)) (-.f64 (*.f64 J (cos.f64 K)) J) (*.f64 J J)))
(*.f64 (/.f64 U (-.f64 (*.f64 J J) (*.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K))))))) (*.f64 J (-.f64 #s(literal 1 binary64) (cos.f64 K))))
(+.f64 (neg.f64 U) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 U))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 U))) #s(literal -1 binary64)))
(-.f64 (neg.f64 U) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) U)
(fma.f64 U #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 U (/.f64 U (neg.f64 U)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 U) #s(literal 0 binary64))
(fma.f64 (neg.f64 U) (/.f64 U U) #s(literal 0 binary64))
(fma.f64 (neg.f64 U) (*.f64 U (/.f64 #s(literal 1 binary64) U)) #s(literal 0 binary64))
(fma.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U) #s(literal 0 binary64))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1 binary64) (neg.f64 U)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) U #s(literal 0 binary64))
(fma.f64 (/.f64 U (neg.f64 U)) U #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 U (neg.f64 U)) (*.f64 U (*.f64 U U))) (*.f64 U U) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 U (neg.f64 U)) (*.f64 U (neg.f64 U))) (neg.f64 U) #s(literal 0 binary64))
(neg.f64 U)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 U)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 U)) #s(literal 1 binary64)))
(/.f64 (*.f64 U (neg.f64 U)) U)
(/.f64 (*.f64 U U) (neg.f64 U))
(/.f64 (*.f64 U (*.f64 U U)) (*.f64 U (neg.f64 U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 U))))
(/.f64 (*.f64 (*.f64 U (neg.f64 U)) #s(literal 1 binary64)) U)
(/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (*.f64 U U))
(/.f64 (*.f64 (*.f64 U (neg.f64 U)) (neg.f64 U)) (*.f64 U (neg.f64 U)))
(/.f64 (*.f64 (*.f64 U (*.f64 U U)) (neg.f64 U)) (*.f64 U (*.f64 U U)))
(/.f64 (neg.f64 (*.f64 U (*.f64 U U))) (*.f64 U U))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (*.f64 U U))
(/.f64 (*.f64 (*.f64 U (*.f64 U U)) (/.f64 U (neg.f64 U))) (*.f64 U U))
(/.f64 (*.f64 (*.f64 U (neg.f64 U)) (/.f64 U (neg.f64 U))) (neg.f64 U))
(/.f64 (/.f64 (*.f64 U U) #s(literal -1 binary64)) U)
(pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 U)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 U)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 U #s(literal -1 binary64))
(*.f64 U (/.f64 U (neg.f64 U)))
(*.f64 #s(literal 1 binary64) (neg.f64 U))
(*.f64 (neg.f64 U) (/.f64 U U))
(*.f64 (neg.f64 U) (*.f64 U (/.f64 #s(literal 1 binary64) U)))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) U))
(*.f64 (*.f64 U U) (/.f64 #s(literal 1 binary64) (neg.f64 U)))
(*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U)))
(*.f64 #s(literal -1 binary64) U)
(*.f64 (/.f64 U (neg.f64 U)) U)
(*.f64 (/.f64 (*.f64 U (neg.f64 U)) (*.f64 U (*.f64 U U))) (*.f64 U U))
(*.f64 (/.f64 (*.f64 U (neg.f64 U)) (*.f64 U (neg.f64 U))) (neg.f64 U))
(exp.f64 (*.f64 (log.f64 (/.f64 J (*.f64 U U))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 U U) (neg.f64 J)))
(neg.f64 (/.f64 (*.f64 U (neg.f64 U)) J))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 U U)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 J (*.f64 U U)) #s(literal 1 binary64)))
(/.f64 (*.f64 U (neg.f64 U)) (neg.f64 J))
(/.f64 (*.f64 U U) J)
(/.f64 (*.f64 U U) (neg.f64 (neg.f64 J)))
(/.f64 (/.f64 (*.f64 U U) J) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 #s(literal 1 binary64) (*.f64 U U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 J (*.f64 U U))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64)) J)
(/.f64 (*.f64 (*.f64 U (*.f64 U U)) U) (*.f64 J (*.f64 U U)))
(/.f64 (*.f64 (*.f64 U (neg.f64 U)) U) (*.f64 (neg.f64 U) J))
(/.f64 (*.f64 (*.f64 U (*.f64 U U)) (/.f64 U J)) (*.f64 U U))
(/.f64 (/.f64 (*.f64 U U) #s(literal 1 binary64)) J)
(/.f64 (*.f64 (*.f64 U (neg.f64 U)) (/.f64 U J)) (neg.f64 U))
(pow.f64 (/.f64 (*.f64 U U) J) #s(literal 1 binary64))
(pow.f64 (/.f64 J (*.f64 U U)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 J (*.f64 U U)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 U (/.f64 U J))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) J))
(*.f64 (neg.f64 U) (/.f64 U (neg.f64 J)))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (neg.f64 J)))
(*.f64 (*.f64 U U) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 U J) U)
(*.f64 (/.f64 U J) (/.f64 U #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U U))
(*.f64 (/.f64 U #s(literal 1 binary64)) (/.f64 U J))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 J)) (*.f64 U (neg.f64 U)))
(exp.f64 (*.f64 (log.f64 (/.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (neg.f64 J)))
(neg.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) J))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) J)
(/.f64 (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (neg.f64 J))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64))))))
(/.f64 (*.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) #s(literal 1 binary64)) J)
(/.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (neg.f64 (neg.f64 J)))
(/.f64 (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) #s(literal 1 binary64)) J)
(pow.f64 (/.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 J (*.f64 U (*.f64 U #s(literal -1/4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) J))
(*.f64 U (*.f64 U (/.f64 #s(literal -1/4 binary64) J)))
(*.f64 U (*.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) J)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)))
(*.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) J))
(*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J))
(*.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) J))
(*.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U J))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (neg.f64 J)))
(*.f64 (/.f64 U J) (/.f64 (*.f64 U #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (*.f64 U U))
(*.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (*.f64 U U) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U (*.f64 U #s(literal -1/4 binary64))))
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) (/.f64 U #s(literal 1 binary64)))
(*.f64 (/.f64 U #s(literal 1 binary64)) (/.f64 (*.f64 U #s(literal -1/4 binary64)) J))
(*.f64 (/.f64 (*.f64 U U) #s(literal 1 binary64)) (/.f64 #s(literal -1/4 binary64) J))
(*.f64 (/.f64 (*.f64 U #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 U J))
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U))))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 J (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 1 binary64)) J)
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 J (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J)))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
(*.f64 (*.f64 J #s(literal 2 binary64)) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(*.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64)) J)

eval277.0ms (2.3%)

Memory
6.7MiB live, 353.3MiB allocated
Compiler

Compiled 41 321 to 2 858 computations (93.1% saved)

prune255.0ms (2.1%)

Memory
-36.8MiB live, 380.2MiB allocated
Pruning

35 alts after pruning (33 fresh and 2 done)

PrunedKeptTotal
New1 359251 384
Fresh16824
Picked415
Done011
Total1 379351 414
Accuracy
99.9%
Counts
1 414 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.7%
(*.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 1/2 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 1/2 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)))))
23.7%
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 J (*.f64 #s(literal 4 binary64) J) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
71.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))))) (*.f64 J #s(literal 2 binary64))))))
11.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
63.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 (/.f64 U J) U))) #s(literal 1 binary64)))))
6.3%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 J J) (*.f64 (*.f64 U (*.f64 U U)) U)) (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (*.f64 U (neg.f64 U))) (*.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))))))
12.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 J J) (*.f64 (*.f64 U (*.f64 U U)) U)) (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) U) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
24.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))))
15.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (+ (/ J (* U U)) (/ 1/2 J))) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal 1 binary64) U)))))))
22.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
▶73.6%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
62.1%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
53.0%
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
25.9%
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
▶25.9%
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
▶19.2%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
27.5%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
✓54.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
28.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (* (* J -2) (cos (* 1/2 K))) (*.f64 J #s(literal -2 binary64)))))
53.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) #s(approx (/ U (* J (cos (* 1/2 K)))) (/.f64 U J)) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
5.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U)))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 U U) (*.f64 U U) (*.f64 #s(literal 0 binary64) (*.f64 U U))))) (+.f64 #s(literal 0 binary64) U)))
13.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (*.f64 U U)))
21.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
37.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 U))))
21.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U))))
53.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
12.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 U U)) #s(literal -1 binary64))))
✓37.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
25.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))))
5.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
23.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (*.f64 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
23.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (*.f64 K K) (fma.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) (*.f64 J #s(literal -2 binary64))))))
23.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K #s(approx (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32))) (*.f64 (*.f64 J #s(literal 1/4 binary64)) K)) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
▶25.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
▶50.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Compiler

Compiled 1 660 to 1 020 computations (38.6% saved)

simplify199.0ms (1.7%)

Memory
45.3MiB live, 269.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
cost-diff192
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))
cost-diff0
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U))))
cost-diff0
(*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
cost-diff0
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
cost-diff0
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
cost-diff0
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
cost-diff320
(fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
cost-diff448
(*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
cost-diff0
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
cost-diff0
#s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
cost-diff0
#s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
cost-diff384
(fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
Rules
4 940×lower-fma.f32
4 928×lower-fma.f64
3 852×lower-*.f32
3 818×lower-*.f64
2 302×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103800
0145807
1309801
2702793
31651753
43469753
53953753
65090753
76614753
87098753
97284753
107422753
117990753
08127738
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 U (fma.f64 (cos.f64 K) J J))
U
(fma.f64 (cos.f64 K) J J)
(cos.f64 K)
K
J
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(literal -2 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
#s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))))
#s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
J
(fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))
#s(literal 1/4 binary64)
(*.f64 K K)
K
#s(literal -2 binary64)
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
#s(literal 1/4 binary64)
(*.f64 J (*.f64 K K))
J
(*.f64 K K)
K
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
U
(+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 J (*.f64 U U))
(*.f64 U U)
(/.f64 #s(literal 1/2 binary64) J)
#s(literal 1/2 binary64)
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U))))
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))
(fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U))
U
(/.f64 #s(literal 1/2 binary64) J)
#s(literal 1/2 binary64)
J
(/.f64 J U)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 K)
K
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(neg.f64 U)
U
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
Outputs
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 U (fma.f64 (cos.f64 K) J J))
(/.f64 U (fma.f64 J (cos.f64 K) J))
U
(fma.f64 (cos.f64 K) J J)
(fma.f64 J (cos.f64 K) J)
(cos.f64 K)
K
J
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(literal -2 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
#s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))))
#s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
J
(fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))
#s(literal 1/4 binary64)
(*.f64 K K)
K
#s(literal -2 binary64)
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
#s(literal 1/4 binary64)
(*.f64 J (*.f64 K K))
J
(*.f64 K K)
K
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U))))
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))
(*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U))
U
(+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))
(/.f64 J (*.f64 U U))
(*.f64 U U)
(/.f64 #s(literal 1/2 binary64) J)
#s(literal 1/2 binary64)
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))))
(*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U))))
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))
(fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U))
U
(/.f64 #s(literal 1/2 binary64) J)
#s(literal 1/2 binary64)
J
(/.f64 J U)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))) (*.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 K)
K
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))
(neg.f64 U)
U
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))

localize550.0ms (4.6%)

Memory
-39.2MiB live, 453.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy0.1796875
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
accuracy0.6731233562413039
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
accuracy31.660805424270997
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
accuracy0.09375
(fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U))
accuracy7.345171265842975
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
accuracy9.466819967063397
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U))))
accuracy31.447898818654735
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))
accuracy8.061573918914466
(*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
accuracy9.466819967063397
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
accuracy31.447898818654735
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
accuracy33.709850188919624
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
accuracy3.3319150150882475
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
accuracy29.19765833563967
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
accuracy30.460843246935003
#s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))))
accuracy30.544734042370393
#s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
accuracy0.1171875
(/.f64 U (fma.f64 (cos.f64 K) J J))
accuracy0.5997287701446222
(fma.f64 (cos.f64 K) J J)
accuracy7.575279390201974
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
accuracy9.401974802854182
(sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
Samples
354.0ms256×0valid
Compiler

Compiled 539 to 94 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 238.0ms
ival-mult: 119.0ms (50% of total)
ival-div: 52.0ms (21.9% of total)
ival-cos: 34.0ms (14.3% of total)
ival-add: 20.0ms (8.4% of total)
ival-sqrt: 8.0ms (3.4% of total)
ival-pow2: 2.0ms (0.8% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series127.0ms (1%)

Memory
-0.6MiB live, 125.4MiB allocated
Counts
27 → 780
Calls
Call 1
Inputs
#<alt (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)>
#<alt (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))>
#<alt (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))>
#<alt #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))))>
#<alt #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))>
#<alt (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))>
#<alt (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))>
#<alt (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))>
#<alt (*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))>
#<alt #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))>
#<alt (*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))>
#<alt (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))>
#<alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U))))>
#<alt #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))>
#<alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))>
#<alt (fma.f64 (cos.f64 K) J J)>
#<alt (/.f64 U (fma.f64 (cos.f64 K) J J))>
#<alt #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))>
#<alt #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))>
#<alt (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U))>
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))>
#<alt (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (+ J (* J (cos K))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (pow (+ J (* J (cos K))) 2)))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (+ J (* J (cos K))) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* J (pow (+ J (* J (cos K))) 2)))))))))>
#<alt (* -2 (cos (* 1/2 K)))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ J (* J (cos K)))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* J (+ J (* J (cos K)))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (+ J (* J (cos K))) 2)))))))>
#<alt (+ (* -2 (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* J (+ J (* J (cos K)))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ J (* J (cos K))) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* (pow J 2) (pow (+ J (* J (cos K))) 2)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* J (+ J (* J (cos K)))))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/32 (/ (pow U 2) (* (pow J 2) (pow (+ J (* J (cos K))) 2)))) (* 1/4 (/ 1 (* J (+ J (* J (cos K)))))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/128 (/ (pow U 2) (* (pow J 3) (pow (+ J (* J (cos K))) 3)))) (* 1/32 (/ 1 (* (pow J 2) (pow (+ J (* J (cos K))) 2)))))) (* 1/4 (/ 1 (* J (+ J (* J (cos K)))))))))>
#<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 (* -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)))) (* -1/4 (/ (pow U 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) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (- (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J))))))>
#<alt (+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (- (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J))))))>
#<alt (+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (- (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J))))))>
#<alt (/ J U)>
#<alt (/ (+ J (* 1/2 (/ (pow U 2) J))) U)>
#<alt (/ (+ J (* 1/2 (/ (pow U 2) J))) U)>
#<alt (/ (+ J (* 1/2 (/ (pow U 2) J))) U)>
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#<alt (* -1 (* J (- (* -1 (cos K)) 1)))>
#<alt (* -1 (* J (- (* -1 (cos K)) 1)))>
#<alt (* -1 (* J (- (* -1 (cos K)) 1)))>
#<alt (* -1 (* J (- (* -1 (cos K)) 1)))>
#<alt (* -1 (/ U (* J (- (* -1 (cos K)) 1))))>
#<alt (* -1 (/ U (* J (- (* -1 (cos K)) 1))))>
#<alt (* -1 (/ U (* J (- (* -1 (cos K)) 1))))>
#<alt (* -1 (/ U (* J (- (* -1 (cos K)) 1))))>
#<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) (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 (/ J U)>
#<alt (* -1 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U))))>
#<alt (* -1 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U))))>
#<alt (* -1 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U))))>
Calls

9 calls:

TimeVariablePointExpression
28.0ms
U
@-inf
((+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1) (* (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) J) (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (* J (+ (* 1/4 (* K K)) -2)) (* U (+ (/ J (* U U)) (/ 1/2 J))) (+ (* 1/4 (* J (* K K))) (* J -2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (* J -2)) (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/ 1 (+ (* 1/2 (cos K)) 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* (neg U) (cos (* 1/2 K)))) (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (+ (* (cos K) J) J) (/ U (+ (* (cos K) J) J)) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* U (/ 1/2 J)) (/ J U)) (+ (* 1/2 (cos K)) 1/2) (* (neg U) (cos (* 1/2 K))))
23.0ms
J
@0
((+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1) (* (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) J) (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (* J (+ (* 1/4 (* K K)) -2)) (* U (+ (/ J (* U U)) (/ 1/2 J))) (+ (* 1/4 (* J (* K K))) (* J -2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (* J -2)) (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/ 1 (+ (* 1/2 (cos K)) 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* (neg U) (cos (* 1/2 K)))) (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (+ (* (cos K) J) J) (/ U (+ (* (cos K) J) J)) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* U (/ 1/2 J)) (/ J U)) (+ (* 1/2 (cos K)) 1/2) (* (neg U) (cos (* 1/2 K))))
9.0ms
K
@inf
((+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1) (* (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) J) (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (* J (+ (* 1/4 (* K K)) -2)) (* U (+ (/ J (* U U)) (/ 1/2 J))) (+ (* 1/4 (* J (* K K))) (* J -2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (* J -2)) (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/ 1 (+ (* 1/2 (cos K)) 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* (neg U) (cos (* 1/2 K)))) (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (+ (* (cos K) J) J) (/ U (+ (* (cos K) J) J)) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* U (/ 1/2 J)) (/ J U)) (+ (* 1/2 (cos K)) 1/2) (* (neg U) (cos (* 1/2 K))))
8.0ms
K
@-inf
((+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1) (* (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) J) (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (* J (+ (* 1/4 (* K K)) -2)) (* U (+ (/ J (* U U)) (/ 1/2 J))) (+ (* 1/4 (* J (* K K))) (* J -2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (* J -2)) (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/ 1 (+ (* 1/2 (cos K)) 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* (neg U) (cos (* 1/2 K)))) (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (+ (* (cos K) J) J) (/ U (+ (* (cos K) J) J)) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* U (/ 1/2 J)) (/ J U)) (+ (* 1/2 (cos K)) 1/2) (* (neg U) (cos (* 1/2 K))))
7.0ms
U
@inf
((+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1) (* (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) J) (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (* J (+ (* 1/4 (* K K)) -2)) (* U (+ (/ J (* U U)) (/ 1/2 J))) (+ (* 1/4 (* J (* K K))) (* J -2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (* J -2)) (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/ 1 (+ (* 1/2 (cos K)) 1/2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* (neg U) (cos (* 1/2 K)))) (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (+ (* (cos K) J) J) (/ U (+ (* (cos K) J) J)) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (+ (* U (/ 1/2 J)) (/ J U)) (+ (* 1/2 (cos K)) 1/2) (* (neg U) (cos (* 1/2 K))))

simplify584.0ms (4.8%)

Memory
32.8MiB live, 511.2MiB allocated
Algorithm
1×egg-herbie
Rules
8 100×lower-*.f64
8 100×lower-*.f32
7 762×lower-fma.f64
7 762×lower-fma.f32
5 452×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129221744
1430521607
0830520243
Stop Event
1×iter limit
1×node limit
Counts
780 → 777
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (+ J (* J (cos K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (pow (+ J (* J (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (+ J (* J (cos K))) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* J (pow (+ J (* J (cos K))) 2)))))))))
(* -2 (cos (* 1/2 K)))
(+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ J (* J (cos K)))))))
(+ (* -2 (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* J (+ J (* J (cos K)))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (+ J (* J (cos K))) 2)))))))
(+ (* -2 (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* J (+ J (* J (cos K)))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ J (* J (cos K))) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* (pow J 2) (pow (+ J (* J (cos K))) 2)))))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(+ 1 (* (pow U 2) (+ (* -1/32 (/ (pow U 2) (* (pow J 2) (pow (+ J (* J (cos K))) 2)))) (* 1/4 (/ 1 (* J (+ J (* J (cos K)))))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/128 (/ (pow U 2) (* (pow J 3) (pow (+ J (* J (cos K))) 3)))) (* 1/32 (/ 1 (* (pow J 2) (pow (+ J (* J (cos K))) 2)))))) (* 1/4 (/ 1 (* J (+ J (* J (cos 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)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -2 (* 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))))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (- (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J))))))
(+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (- (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J))))))
(+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (- (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J))))))
(/ J U)
(/ (+ J (* 1/2 (/ (pow U 2) J))) U)
(/ (+ J (* 1/2 (/ (pow U 2) J))) U)
(/ (+ J (* 1/2 (/ (pow U 2) J))) 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)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -2 (* 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))))))))
(cos (* 1/2 K))
(+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (cos (* 1/2 K)) (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ 1 (* (pow J 2) (cos (* 1/2 K))))))))
(+ (cos (* 1/2 K)) (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))) (* 1/8 (/ 1 (* (pow J 2) (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
(+ 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))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))
(* -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)))))))
(* -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)))))))
(/ U (+ J (* J (cos K))))
(/ U (+ J (* J (cos K))))
(/ U (+ J (* J (cos K))))
(/ U (+ J (* J (cos 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
(+ 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)))))))
(/ J U)
(/ (+ J (* 1/2 (/ (pow U 2) J))) U)
(/ (+ J (* 1/2 (/ (pow U 2) J))) U)
(/ (+ J (* 1/2 (/ (pow U 2) J))) U)
(* -1 (* U (cos (* 1/2 K))))
(* -1 (* U (cos (* 1/2 K))))
(* -1 (* U (cos (* 1/2 K))))
(* -1 (* U (cos (* 1/2 K))))
(* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K))))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/2 (/ 1 (* J (+ J (* J (cos K)))))) (/ 1 (pow U 2))))
(* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2)))))
(* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2)))))))
(* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3))))))))
(* U (+ (* -2 (* (sqrt (/ J (+ J (* J (cos K))))) (* (cos (* 1/2 K)) (sqrt 1/2)))) (+ (* -1 (* (sqrt (* (pow J 3) (+ J (* J (cos K))))) (/ (cos (* 1/2 K)) (* (pow U 2) (sqrt 1/2))))) (+ (* -1/8 (* (sqrt (* (pow J 7) (pow (+ J (* J (cos K))) 5))) (/ (cos (* 1/2 K)) (* (pow U 6) (pow (sqrt 1/2) 5))))) (* 1/4 (* (sqrt (* (pow J 5) (pow (+ J (* J (cos K))) 3))) (/ (cos (* 1/2 K)) (* (pow U 4) (pow (sqrt 1/2) 3)))))))))
(* -2 (* (sqrt (/ 1 (* J (+ J (* J (cos K)))))) (* U (* (cos (* 1/2 K)) (sqrt 1/2)))))
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(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (+ (* -1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))) (* 2 (cos (* 1/2 K))))))))
(* -2 (cos (* 1/2 K)))
(+ (* -2 (cos (* 1/2 K))) (* 1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(+ (* -2 (cos (* 1/2 K))) (+ (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* 1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1))))))
(+ (* -2 (cos (* 1/2 K))) (+ (* 1/64 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 3)))) (+ (* 1/16 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* 1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (- (* -1 (cos K)) 1)))))))
1
(+ 1 (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))))
(+ 1 (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2))))))
(+ 1 (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (- (* -1 (cos K)) 1)))) (+ (* -1/32 (/ (pow U 4) (* (pow J 4) (pow (- (* -1 (cos K)) 1) 2)))) (* -1/128 (/ (pow U 6) (* (pow J 6) (pow (- (* -1 (cos K)) 1) 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 (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))))))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ 2 (+ (* -1/4 (pow K 2)) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -1 (* J (+ 2 (+ (* -1/4 (pow K 2)) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* -1 (* J (+ 2 (+ (* -1/4 (pow K 2)) (+ (* 1/32 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 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 U)
(* -1 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U))))
(* -1 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U))))
(* -1 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U))))
(* -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 (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 (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 (* 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))))))))
(cos (* 1/2 K))
(+ (cos (* 1/2 K)) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(+ (cos (* 1/2 K)) (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
1
(+ 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))))))
(* -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))))))))
(* -1 (* J (- (* -1 (cos K)) 1)))
(* -1 (* J (- (* -1 (cos K)) 1)))
(* -1 (* J (- (* -1 (cos K)) 1)))
(* -1 (* J (- (* -1 (cos K)) 1)))
(* -1 (/ U (* J (- (* -1 (cos K)) 1))))
(* -1 (/ U (* J (- (* -1 (cos K)) 1))))
(* -1 (/ U (* J (- (* -1 (cos K)) 1))))
(* -1 (/ U (* J (- (* -1 (cos K)) 1))))
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) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(/ J U)
(* -1 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U))))
(* -1 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U))))
(* -1 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(+ 1 (* 1/2 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (+ J (* J (cos K))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 J (cos.f64 K) J)) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (pow (+ J (* J (cos K))) 2)))))))
(fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (pow.f64 (fma.f64 J (cos.f64 K) J) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 J (cos.f64 K) J)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (+ J (* J (cos K))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (+ J (* J (cos K))) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* J (pow (+ J (* J (cos K))) 2)))))))))
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 J J) (pow.f64 (fma.f64 J (cos.f64 K) J) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (pow.f64 (fma.f64 J (cos.f64 K) J) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 J (cos.f64 K) J)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -2 (cos (* 1/2 K)))
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ (* -2 (cos (* 1/2 K))) (* -1/2 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ J (* J (cos K)))))))
(fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 J (fma.f64 J (cos.f64 K) J)))))
(+ (* -2 (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* J (+ J (* J (cos K)))))) (* 1/16 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (pow (+ J (* J (cos K))) 2)))))))
(fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 (fma.f64 J (cos.f64 K) J) #s(literal 2 binary64)) (*.f64 J J))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 J (cos.f64 K) J))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* -2 (cos (* 1/2 K))) (* (pow U 2) (+ (* -1/2 (/ (cos (* 1/2 K)) (* J (+ J (* J (cos K)))))) (* (pow U 2) (+ (* -1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ J (* J (cos K))) 3)))) (* 1/16 (/ (cos (* 1/2 K)) (* (pow J 2) (pow (+ J (* J (cos K))) 2)))))))))
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/16 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (pow.f64 (fma.f64 J (cos.f64 K) J) #s(literal 2 binary64)) (*.f64 J J))) (/.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 U U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 (fma.f64 J (cos.f64 K) J) #s(literal 3 binary64)) (*.f64 J (*.f64 J J))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 J (cos.f64 K) J))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* J (+ J (* J (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J (fma.f64 J (cos.f64 K) J))) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (+ (* -1/32 (/ (pow U 2) (* (pow J 2) (pow (+ J (* J (cos K))) 2)))) (* 1/4 (/ 1 (* J (+ J (* J (cos K)))))))))
(fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 (fma.f64 J (cos.f64 K) J) #s(literal 2 binary64)) (*.f64 J J))) (/.f64 #s(literal 1/4 binary64) (*.f64 J (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/128 (/ (pow U 2) (* (pow J 3) (pow (+ J (* J (cos K))) 3)))) (* 1/32 (/ 1 (* (pow J 2) (pow (+ J (* J (cos K))) 2)))))) (* 1/4 (/ 1 (* J (+ J (* J (cos K)))))))))
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 (fma.f64 J (cos.f64 K) J) #s(literal 3 binary64)) (*.f64 J (*.f64 J J)))) (/.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 (fma.f64 J (cos.f64 K) J) #s(literal 2 binary64)) (*.f64 J J)))) (/.f64 #s(literal 1/4 binary64) (*.f64 J (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (*.f64 J #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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 U U) (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 J (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (*.f64 J #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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (*.f64 J #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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (*.f64 J #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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
(+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (- (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J))))))
(fma.f64 J #s(literal -2 binary64) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 K K) J) (/.f64 #s(literal -1/4 binary64) J)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
(+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (- (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J))))))
(fma.f64 J #s(literal -2 binary64) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 K K) J) (/.f64 #s(literal -1/4 binary64) J)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
(+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (- (* -1/32 (/ (pow K 2) J)) (* 1/4 (/ 1 J))))))
(fma.f64 J #s(literal -2 binary64) (fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 K K) J) (/.f64 #s(literal -1/4 binary64) J)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))
(/ J U)
(/.f64 J U)
(/ (+ J (* 1/2 (/ (pow U 2) J))) U)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) J) J) U)
(/ (+ J (* 1/2 (/ (pow U 2) J))) U)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) J) J) U)
(/ (+ J (* 1/2 (/ (pow U 2) J))) U)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U U) J) J) U)
(* -2 (* J (cos (* 1/2 K))))
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1
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1
#s(literal 1 binary64)
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(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
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1
#s(literal 1 binary64)
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(* -2 (* J (cos (* 1/2 K))))
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1
#s(literal 1 binary64)
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(* -2 (* J (cos (* 1/2 K))))
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(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (*.f64 J (*.f64 J J)) J))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (*.f64 J (*.f64 J J)) J)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 J (*.f64 J J)) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 J (*.f64 J J)) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)))))))
(/ J U)
(/.f64 J U)
(* -1 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal -1 binary64) U)) (neg.f64 J))
(* -1 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal -1 binary64) U)) (neg.f64 J))
(* -1 (* J (- (* -1/2 (/ U (pow J 2))) (/ 1 U))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal -1 binary64) U)) (neg.f64 J))

rewrite361.0ms (3%)

Memory
-27.6MiB live, 288.0MiB allocated
Rules
5 164×lower-*.f32
5 130×lower-*.f64
3 902×lower-fma.f32
3 890×lower-fma.f64
2 368×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103684
0145679
1600646
24887637
08265619
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 361
Calls
Call 1
Inputs
(fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
#s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))))
#s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U))))
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(fma.f64 (cos.f64 K) J J)
(/.f64 U (fma.f64 (cos.f64 K) J J))
#s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))))
(fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 U (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) J J)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 (cos.f64 K) J J))) #s(literal 1 binary64))
(fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 U (/.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 K) J J)) #s(literal 1 binary64))
(fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (*.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) (/.f64 U (fma.f64 (cos.f64 K) J J)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) (*.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 U (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) J J)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 K) J J)) (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64))
(fma.f64 (/.f64 U (+.f64 (cos.f64 K) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) J) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) (+.f64 (cos.f64 K) #s(literal 1 binary64))) (/.f64 U J) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) J) (/.f64 U #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) #s(literal 2 binary64)) (/.f64 U J) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 U (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) (fma.f64 J (*.f64 J J) (pow.f64 (*.f64 (cos.f64 K) J) #s(literal 3 binary64)))) (fma.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) (*.f64 J (-.f64 J (*.f64 (cos.f64 K) J)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 U (*.f64 (/.f64 U J) #s(literal 1/2 binary64))) (fma.f64 (*.f64 J J) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) (neg.f64 (*.f64 J J)))) (-.f64 (*.f64 (cos.f64 K) J) J) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64))))))))
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 J (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) J))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 J (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 J (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
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(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 J (*.f64 J J)) (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U)))) (/.f64 #s(literal 1/8 binary64) (*.f64 J (*.f64 J J)))) U) (fma.f64 (/.f64 #s(literal 1/2 binary64) J) (-.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J J) (*.f64 (*.f64 U U) (*.f64 U U)))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 J J) (*.f64 (*.f64 U U) (*.f64 U U))) (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) U) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(pow.f64 (/.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 (/.f64 J U) (-.f64 (/.f64 J U) (*.f64 (/.f64 U J) #s(literal 1/2 binary64))))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 J (*.f64 J J))) (*.f64 U (*.f64 U U)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 U (*.f64 U U))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) (/.f64 J U)) (-.f64 (*.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (*.f64 J (/.f64 J (*.f64 U U))))) #s(literal -1 binary64))
(*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) U)
(*.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 J (*.f64 J J))) (*.f64 U (*.f64 U U)) (/.f64 (*.f64 J (*.f64 J J)) (*.f64 U (*.f64 U U)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 (/.f64 J U) (-.f64 (/.f64 J U) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))))))
(*.f64 (-.f64 (*.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (*.f64 J (/.f64 J (*.f64 U U)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 U J) #s(literal 1/2 binary64)) (/.f64 J U))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 K) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.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 2 binary64)))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 K) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 K) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.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 2 binary64)))))) (*.f64 (cos.f64 K) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 K) #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) #s(literal -1/4 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 K) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.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 K #s(literal 2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 K) #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 K) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 K) #s(literal 1/4 binary64))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 2 binary64))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 U (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))
(*.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -1 binary64)) U)

eval222.0ms (1.8%)

Memory
10.3MiB live, 240.9MiB allocated
Compiler

Compiled 37 899 to 2 525 computations (93.3% saved)

prune236.0ms (2%)

Memory
7.1MiB live, 292.4MiB allocated
Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New1 125131 138
Fresh181028
Picked235
Done022
Total1 145281 173
Accuracy
99.9%
Counts
1 173 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.7%
(*.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 1/2 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 1/2 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)))))
23.7%
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 J (*.f64 #s(literal 4 binary64) J) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
62.1%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) J)
71.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))))) (*.f64 J #s(literal 2 binary64))))))
✓73.6%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
20.7%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
21.3%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))))
27.5%
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
53.3%
(*.f64 #s(approx (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
11.0%
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64)))
✓54.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
53.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) #s(approx (/ U (* J (cos (* 1/2 K)))) (/.f64 U J)) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
21.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
12.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 U U)) #s(literal -1 binary64))))
✓37.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
25.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))))
23.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (*.f64 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
23.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (*.f64 K K) (fma.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) (*.f64 J #s(literal -2 binary64))))))
25.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (fma.f64 (*.f64 K (*.f64 K J)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))))
24.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -4 binary64)) J) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal 2 binary64))))))
✓25.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
27.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64))))))
2.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))))
50.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
50.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
✓50.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
30.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 #s(approx (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
25.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* (neg U) (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (neg.f64 (fma.f64 (*.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (fma.f64 U #s(literal -1/46080 binary64) (*.f64 U #s(literal 19/11520 binary64)))) (fma.f64 U #s(literal -1/64 binary64) (*.f64 U #s(literal 1/64 binary64))))) #s(literal 0 binary64)) (neg.f64 U))))
Compiler

Compiled 2 228 to 710 computations (68.1% saved)

regimes173.0ms (1.4%)

Memory
-9.0MiB live, 264.7MiB allocated
Counts
79 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (fma.f64 (*.f64 K (*.f64 K J)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 U))))
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K #s(approx (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32))) (*.f64 (*.f64 J #s(literal 1/4 binary64)) K)) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -4 binary64)) J) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* (neg U) (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (neg.f64 (fma.f64 (*.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (fma.f64 U #s(literal -1/46080 binary64) (*.f64 U #s(literal 19/11520 binary64)))) (fma.f64 U #s(literal -1/64 binary64) (*.f64 U #s(literal 1/64 binary64))))) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (*.f64 K K) (fma.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U)))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 U U) (*.f64 U U) (*.f64 #s(literal 0 binary64) (*.f64 U U))))) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(approx (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 #s(approx (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) #s(approx (/ U (* J (cos (* 1/2 K)))) (/.f64 U J)) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (* (* J -2) (cos (* 1/2 K))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 #s(literal -2 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
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(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U)))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 U U)) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (*.f64 (*.f64 U U) (fma.f64 J (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (*.f64 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) J)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U #s(approx (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 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 (*.f64 U (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))))) (*.f64 J #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (neg.f64 U)) (*.f64 (*.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 1/2 binary64)))))) (*.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) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 J (*.f64 #s(literal 4 binary64) J) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 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 1/2 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 1/2 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
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
Calls

6 calls:

47.0ms
J
30.0ms
K
26.0ms
(/.f64 K #s(literal 2 binary64))
22.0ms
U
20.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
89.8%2J
73.7%1K
87.1%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)))))
77.0%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
73.7%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes26.0ms (0.2%)

Memory
33.3MiB live, 71.5MiB allocated
Counts
77 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (fma.f64 (*.f64 K (*.f64 K J)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 U))))
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K #s(approx (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32))) (*.f64 (*.f64 J #s(literal 1/4 binary64)) K)) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -4 binary64)) J) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* (neg U) (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (neg.f64 (fma.f64 (*.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (fma.f64 U #s(literal -1/46080 binary64) (*.f64 U #s(literal 19/11520 binary64)))) (fma.f64 U #s(literal -1/64 binary64) (*.f64 U #s(literal 1/64 binary64))))) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (*.f64 K K) (fma.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U)))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 U U) (*.f64 U U) (*.f64 #s(literal 0 binary64) (*.f64 U U))))) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(approx (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 #s(approx (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) #s(approx (/ U (* J (cos (* 1/2 K)))) (/.f64 U J)) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (* (* J -2) (cos (* 1/2 K))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 #s(literal -2 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (+ (/ J (* U U)) (/ 1/2 J))) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal 1 binary64) U)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 (/.f64 U J) U))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 J J) (*.f64 (*.f64 U (*.f64 U U)) U)) (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) U) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.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)) (neg.f64 U)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 J J) (*.f64 (*.f64 U (*.f64 U U)) U)) (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (*.f64 U (neg.f64 U))) (*.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal -1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 U U)) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (*.f64 (*.f64 U U) (fma.f64 J (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (*.f64 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) J)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U #s(approx (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.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))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 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 (*.f64 U (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64)))))) (*.f64 J #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (neg.f64 U)) (*.f64 (*.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 1/2 binary64)))))) (*.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) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 J (*.f64 #s(literal 4 binary64) J) (*.f64 #s(literal 0 binary64) (*.f64 J #s(literal 2 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
Calls

1 calls:

20.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
99.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes30.0ms (0.2%)

Memory
-32.2MiB live, 57.5MiB allocated
Counts
71 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (fma.f64 (*.f64 K (*.f64 K J)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 U))))
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U)))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 U U) (*.f64 U U) (*.f64 #s(literal 0 binary64) (*.f64 U U))))) (+.f64 #s(literal 0 binary64) U)))
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(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 #s(literal -2 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
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(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (+ (/ J (* U U)) (/ 1/2 J))) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal 1 binary64) U)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 (/.f64 U J) U))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 J J) (*.f64 (*.f64 U (*.f64 U U)) U)) (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) U) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.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)) (neg.f64 U)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 J J) (*.f64 (*.f64 U (*.f64 U U)) U)) (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (*.f64 U (neg.f64 U))) (*.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal -1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 U U)) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (*.f64 (*.f64 U U) (fma.f64 J (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (*.f64 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) J)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U #s(approx (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
Calls

1 calls:

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

Compiled 27 to 17 computations (37% saved)

regimes49.0ms (0.4%)

Memory
-1.1MiB live, 111.9MiB allocated
Counts
70 → 5
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (fma.f64 (*.f64 K (*.f64 K J)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 U))))
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K #s(approx (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32))) (*.f64 (*.f64 J #s(literal 1/4 binary64)) K)) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -4 binary64)) J) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* (neg U) (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (neg.f64 (fma.f64 (*.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (fma.f64 U #s(literal -1/46080 binary64) (*.f64 U #s(literal 19/11520 binary64)))) (fma.f64 U #s(literal -1/64 binary64) (*.f64 U #s(literal 1/64 binary64))))) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (*.f64 K K) (fma.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U)))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 U U) (*.f64 U U) (*.f64 #s(literal 0 binary64) (*.f64 U U))))) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(approx (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 #s(approx (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) #s(approx (/ U (* J (cos (* 1/2 K)))) (/.f64 U J)) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (* (* J -2) (cos (* 1/2 K))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 #s(literal -2 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 U U)) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (*.f64 (*.f64 U U) (fma.f64 J (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (*.f64 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -2 binary64)) J)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U #s(approx (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2)))) (/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -2 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) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
Calls

2 calls:

22.0ms
J
19.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
87.2%2J
93.9%5(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes26.0ms (0.2%)

Memory
13.2MiB live, 56.8MiB allocated
Counts
67 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (fma.f64 (*.f64 K (*.f64 K J)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 U))))
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K #s(approx (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32))) (*.f64 (*.f64 J #s(literal 1/4 binary64)) K)) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -4 binary64)) J) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* (neg U) (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (neg.f64 (fma.f64 (*.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (fma.f64 U #s(literal -1/46080 binary64) (*.f64 U #s(literal 19/11520 binary64)))) (fma.f64 U #s(literal -1/64 binary64) (*.f64 U #s(literal 1/64 binary64))))) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (*.f64 K K) (fma.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U)))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 U U) (*.f64 U U) (*.f64 #s(literal 0 binary64) (*.f64 U U))))) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(approx (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 #s(approx (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) #s(approx (/ U (* J (cos (* 1/2 K)))) (/.f64 U J)) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (* (* J -2) (cos (* 1/2 K))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 #s(literal -2 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (+ (/ J (* U U)) (/ 1/2 J))) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal 1 binary64) U)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 (/.f64 U J) U))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 J J) (*.f64 (*.f64 U (*.f64 U U)) U)) (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) U) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.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)) (neg.f64 U)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 J J) (*.f64 (*.f64 U (*.f64 U U)) U)) (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (*.f64 U (neg.f64 U))) (*.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal -1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 U U)) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (*.f64 (*.f64 U U) (fma.f64 J (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U)) #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (*.f64 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
Calls

1 calls:

21.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
90.3%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes24.0ms (0.2%)

Memory
-11.4MiB live, 63.6MiB allocated
Counts
64 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (fma.f64 (*.f64 K (*.f64 K J)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 U))))
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K #s(approx (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32))) (*.f64 (*.f64 J #s(literal 1/4 binary64)) K)) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -4 binary64)) J) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* (neg U) (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (neg.f64 (fma.f64 (*.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (fma.f64 U #s(literal -1/46080 binary64) (*.f64 U #s(literal 19/11520 binary64)))) (fma.f64 U #s(literal -1/64 binary64) (*.f64 U #s(literal 1/64 binary64))))) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (*.f64 K K) (fma.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U)))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 U U) (*.f64 U U) (*.f64 #s(literal 0 binary64) (*.f64 U U))))) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(approx (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 #s(approx (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) #s(approx (/ U (* J (cos (* 1/2 K)))) (/.f64 U J)) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (* (* J -2) (cos (* 1/2 K))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 #s(literal -2 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (+ (/ J (* U U)) (/ 1/2 J))) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal 1 binary64) U)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 (/.f64 U J) U))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 J J) (*.f64 (*.f64 U (*.f64 U U)) U)) (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) U) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.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)) (neg.f64 U)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 J J) (*.f64 (*.f64 U (*.f64 U U)) U)) (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (*.f64 U (neg.f64 U))) (*.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal -1 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 U U)) #s(literal -1 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
Calls

1 calls:

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)))))
Results
AccuracySegmentsBranch
89.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes52.0ms (0.4%)

Memory
1.6MiB live, 125.5MiB allocated
Counts
56 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (fma.f64 (*.f64 K (*.f64 K J)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 U))))
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K #s(approx (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32))) (*.f64 (*.f64 J #s(literal 1/4 binary64)) K)) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -4 binary64)) J) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* (neg U) (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (neg.f64 (fma.f64 (*.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (fma.f64 U #s(literal -1/46080 binary64) (*.f64 U #s(literal 19/11520 binary64)))) (fma.f64 U #s(literal -1/64 binary64) (*.f64 U #s(literal 1/64 binary64))))) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (*.f64 K K) (fma.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U)))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 U U) (*.f64 U U) (*.f64 #s(literal 0 binary64) (*.f64 U U))))) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(approx (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 #s(approx (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) #s(approx (/ U (* J (cos (* 1/2 K)))) (/.f64 U J)) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (* (* J -2) (cos (* 1/2 K))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 #s(literal -2 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (+ (/ J (* U U)) (/ 1/2 J))) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal 1 binary64) U)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (*.f64 U U) J) J) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 (/.f64 U J) U))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 J J) (*.f64 (*.f64 U (*.f64 U U)) U)) (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) U) (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.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)) (neg.f64 U)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 J J) (*.f64 (*.f64 U (*.f64 U U)) U)) (/.f64 #s(literal 1/4 binary64) (*.f64 J J))) (*.f64 U (neg.f64 U))) (*.f64 (-.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 U U) (*.f64 J J))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal -1 binary64))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64)))))
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64)))
Calls

3 calls:

17.0ms
J
16.0ms
(*.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
U
Results
AccuracySegmentsBranch
73.1%2U
76.6%2J
86.2%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes17.0ms (0.1%)

Memory
6.0MiB live, 44.4MiB allocated
Counts
48 → 5
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (fma.f64 (*.f64 K (*.f64 K J)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 U))))
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K #s(approx (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32))) (*.f64 (*.f64 J #s(literal 1/4 binary64)) K)) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -4 binary64)) J) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* (neg U) (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (neg.f64 (fma.f64 (*.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (fma.f64 U #s(literal -1/46080 binary64) (*.f64 U #s(literal 19/11520 binary64)))) (fma.f64 U #s(literal -1/64 binary64) (*.f64 U #s(literal 1/64 binary64))))) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (*.f64 K K) (fma.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U)))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 U U) (*.f64 U U) (*.f64 #s(literal 0 binary64) (*.f64 U U))))) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(approx (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 #s(approx (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) #s(approx (/ U (* J (cos (* 1/2 K)))) (/.f64 U J)) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (* (* J -2) (cos (* 1/2 K))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* U (/ U (* (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (* (* J 2) (* J 2))))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (sqrt.f64 #s(approx (+ (* (/ U (+ (* J 1) (* (cos (* K 1)) (* J 1)))) (/ U (* J 2))) 1) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 #s(literal -2 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)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) #s(approx (* U (+ (/ J (* U U)) (/ 1/2 J))) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J J)) (/.f64 #s(literal 1 binary64) U)))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64)))
Calls

1 calls:

14.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
83.6%5(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes78.0ms (0.6%)

Memory
-1.4MiB live, 118.8MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (fma.f64 (*.f64 K (*.f64 K J)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 U))))
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K #s(approx (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32))) (*.f64 (*.f64 J #s(literal 1/4 binary64)) K)) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -4 binary64)) J) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* (neg U) (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (neg.f64 (fma.f64 (*.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (fma.f64 U #s(literal -1/46080 binary64) (*.f64 U #s(literal 19/11520 binary64)))) (fma.f64 U #s(literal -1/64 binary64) (*.f64 U #s(literal 1/64 binary64))))) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (*.f64 K K) (fma.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U)))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 U U) (*.f64 U U) (*.f64 #s(literal 0 binary64) (*.f64 U U))))) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(approx (* (sqrt (+ (* (/ U (+ (* (cos K) J) J)) (/ U (* J 2))) 1)) (* -2 (cos (* K 1/2)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (*.f64 #s(approx (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) #s(literal 1 binary64)) (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) #s(approx (/ U (* J (cos (* 1/2 K)))) (/.f64 U J)) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U #s(literal -1/4 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(approx (* (* J -2) (cos (* 1/2 K))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(*.f64 (*.f64 #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64)))
Calls

5 calls:

21.0ms
K
18.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
13.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
11.0ms
J
11.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
59.0%3K
59.0%3(/.f64 K #s(literal 2 binary64))
57.0%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
73.3%2J
76.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 48 to 34 computations (29.2% saved)

regimes29.0ms (0.2%)

Memory
-3.9MiB live, 73.8MiB allocated
Counts
29 → 5
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (fma.f64 (*.f64 K (*.f64 K J)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 U))))
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K #s(approx (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32))) (*.f64 (*.f64 J #s(literal 1/4 binary64)) K)) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -4 binary64)) J) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal 2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (fma.f64 U (/.f64 #s(literal 1/2 binary64) J) (/.f64 J U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) #s(approx (* (sqrt (/ 1 (+ (* 1/2 (cos K)) 1/2))) (* (neg U) (cos (* 1/2 K)))) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (neg.f64 (fma.f64 (*.f64 K K) (fma.f64 U #s(literal -5/3072 binary64) (fma.f64 U #s(literal -1/46080 binary64) (*.f64 U #s(literal 19/11520 binary64)))) (fma.f64 U #s(literal -1/64 binary64) (*.f64 U #s(literal 1/64 binary64))))) #s(literal 0 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K (*.f64 K (fma.f64 #s(literal 1/4 binary64) J (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64)))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/32 binary64) (*.f64 J #s(literal 1/4 binary64))) (*.f64 K K) (fma.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) J) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U (*.f64 U U)) (*.f64 U (*.f64 U U)))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 U U) (*.f64 U U) (*.f64 #s(literal 0 binary64) (*.f64 U U))))) (+.f64 #s(literal 0 binary64) U)))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64)))
Calls

3 calls:

9.0ms
U
9.0ms
J
8.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
47.4%2U
51.6%2J
66.0%5(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes7.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
18 → 4
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (fma.f64 (*.f64 K (*.f64 K J)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 U))))
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* U -1/4) (/ U (* J (cos (* 1/2 K))))) (* (* J -2) (cos (* 1/2 K)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) J) (*.f64 J #s(literal -2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 (neg.f64 U) (*.f64 U U)) (*.f64 U U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (/.f64 (*.f64 #s(literal 1/2 binary64) U) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) (fma.f64 K #s(approx (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32))) (*.f64 (*.f64 J #s(literal 1/4 binary64)) K)) (fma.f64 J #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J)))))
(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 J #s(literal -2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(approx (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)) (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64)))
Calls

1 calls:

5.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
61.3%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes33.0ms (0.3%)

Memory
-17.7MiB live, 35.0MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) (fma.f64 (*.f64 K (*.f64 K J)) #s(literal 1/4 binary64) (*.f64 J #s(literal -2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) U) (*.f64 U (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 U))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64))))))
Calls

5 calls:

18.0ms
(/.f64 K #s(literal 2 binary64))
3.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
3.0ms
K
3.0ms
J
3.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
51.6%2J
37.2%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
40.5%2K
40.5%2(/.f64 K #s(literal 2 binary64))
51.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 48 to 34 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory
18.6MiB live, 18.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms
J
1.0ms
U
Results
AccuracySegmentsBranch
37.2%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
37.2%1K
37.2%1(/.f64 K #s(literal 2 binary64))
37.2%1U
37.2%1(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
37.2%1J
Compiler

Compiled 52 to 37 computations (28.8% saved)

bsearch2.0ms (0%)

Memory
-37.8MiB live, 2.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
1.0ms
4.0476685633552185e+305
+inf
0.0ms
-inf
-4.1126735643727196e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.0476685633552185e+305
+inf
0.0ms
-inf
-4.1126735643727196e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.0476685633552185e+305
+inf
0.0ms
-inf
-4.1126735643727196e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
4.995797686521525e+301
4.0476685633552185e+305
0.0ms
5.536970022180104e-51
2.294319977252184e-28
0.0ms
-3.849636371345431e-95
-2.3932140512136164e-95
0.0ms
-inf
-4.1126735643727196e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.995797686521525e+301
4.0476685633552185e+305
0.0ms
-inf
-4.1126735643727196e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.995797686521525e+301
4.0476685633552185e+305
0.0ms
-inf
-4.1126735643727196e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.995797686521525e+301
4.0476685633552185e+305
0.0ms
-inf
-4.1126735643727196e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
4.995797686521525e+301
4.0476685633552185e+305
0.0ms
9.35780116599075e-168
6.254429910380066e-134
0.0ms
-5.068036132960758e-130
-4.3993504068258036e-139
0.0ms
-inf
-4.1126735643727196e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.995797686521525e+301
4.0476685633552185e+305
0.0ms
-inf
-4.1126735643727196e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
-1.710644993728151e-286
7.2080825946786e-180
0.0ms
-7.187191814997026e-62
-4.3175257273298694e-70
0.0ms
-6.851009019723302e+187
-2.5640734177612492e+182
0.0ms
-inf
-4.1126735643727196e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
-1.710644993728151e-286
7.2080825946786e-180
0.0ms
-1.2619927180024263e-6
-5.779978717057494e-14
0.0ms
-inf
-4.1126735643727196e+307
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch24.0ms (0.2%)

Memory
14.3MiB live, 51.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
5.533154257130405e+35
6.987024878368628e+39
Samples
17.0ms128×0valid
Compiler

Compiled 174 to 111 computations (36.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 4.0ms (29% of total)
ival-sqrt: 4.0ms (29% of total)
ival-cos: 3.0ms (21.7% of total)
ival-div: 1.0ms (7.2% of total)
ival-add: 1.0ms (7.2% of total)
ival-pow2: 1.0ms (7.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify34.0ms (0.3%)

Memory
-15.2MiB live, 66.0MiB allocated
Algorithm
1×egg-herbie
Rules
80×*-commutative_binary64
18×+-commutative_binary64
14×sub-neg_binary64
14×neg-sub0_binary64
14×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02062314
12582314
22742314
32902314
43002314
53052314
63062314
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)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 J #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) (*.f64 J #s(literal 1 binary64))))) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -70456277483215/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 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 #s(approx (/ U (* (* 2 J) (cos (/ K 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) #s(literal 2 binary64))))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) (*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (fma.f64 J (cos.f64 K) J) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* U (/ U (* J 2))) (* (* J 2) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))))) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
Outputs
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(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -50000000000000001154654565134893577446491911242584963771528228907742109483972884443288089843397538055539119271912928709829959505656793675343801485832684509285601571572331782437948333490176 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64)))))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -2894802230932905/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64)))))))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -50000000000000001154654565134893577446491911242584963771528228907742109483972884443288089843397538055539119271912928709829959505656793675343801485832684509285601571572331782437948333490176 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 #s(literal -2 binary64) J))))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -2894802230932905/57896044618658097711785492504343953926634992332820282019728792003956564819968 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 (/.f64 U J) #s(literal -1/2 binary64))))))))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -4722366482869645/4722366482869645213696 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64)))))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (*.f64 #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) (*.f64 J #s(literal -2 binary64))))))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -4722366482869645/4722366482869645213696 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 #s(literal -2 binary64) J))))) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -8572068857490139/85720688574901385675874003924800144844912384936442688595500031069628084089994889799455870305255668650207573833404251746014971622855385123487876620597588598431476542198593847883368596840498969135023633457224371799868655530139190140473324351568616503316569571821492337341283438653220995094697645344555008 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cos (* K 1/2))) (*.f64 (/.f64 U J) #s(literal -1/2 binary64)))))))
(if (<=.f64 J #s(literal 1999999999999999879418332743206357172224 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 J #s(literal -2 binary64)))))))
(if (<=.f64 J #s(literal 1999999999999999879418332743206357172224 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* -2 (* J (cos (* 1/2 K)))) (/ (* -1/4 (* U U)) (* J (cos (* 1/2 K))))) #s(approx (+ (* K (* K (+ (* 1/4 J) (* (/ (* U U) J) -1/32)))) (+ (* J -2) (/ (* (* U U) -1/4) J))) #s(approx (* J (+ (* 1/4 (* K K)) -2)) (*.f64 #s(literal -2 binary64) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

soundness1.7s (14.1%)

Memory
3.5MiB live, 2 028.3MiB allocated
Rules
15 100×lower-fma.f64
15 100×lower-fma.f32
14 104×lower-fma.f64
14 104×lower-fma.f32
9 716×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086541
0137508
1517490
24356482
08409470
079317721
1260417205
0866616078
097317158
1317716835
0819815840
03894135
112714017
250383871
085183709
0129221744
1430521607
0830520243
01776
02876
17976
243276
3436476
0812976
0103684
0145679
1600646
24887637
08265619
062451
0104405
1352362
22448358
08902358
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 2 469 to 945 computations (61.7% saved)

preprocess110.0ms (0.9%)

Memory
27.0MiB live, 174.9MiB allocated
Remove

(negabs J)

(abs K)

Compiler

Compiled 3 470 to 584 computations (83.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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