Maksimov and Kolovsky, Equation (3)

Time bar (total: 10.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze298.0ms (2.8%)

Memory
15.6MiB live, 527.8MiB 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)

sample2.0s (18.5%)

Memory
-175.1MiB live, 2 379.1MiB allocated
Samples
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 620.0ms (50% of total)
ival-cos: 216.0ms (17.4% of total)
ival-div: 206.0ms (16.6% of total)
ival-pow2: 79.0ms (6.4% of total)
ival-sqrt: 58.0ms (4.7% of total)
ival-add: 40.0ms (3.2% of total)
exact: 12.0ms (1% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain296.0ms (2.8%)

Memory
-1.6MiB live, 388.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
350-0-(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)
0126(-3.022307436705745e-295 -6.763045290163617e+188 -8.218890009602193e-104)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)))sensitivity1260
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-rescue350
↳(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)))overflow66
↳(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))overflow66
*.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 -
+660
-9595
Precision
0.40993788819875776
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6600
-95095
Precision?
0.40993788819875776
Recall?
1.0
Freqs
test
numberfreq
095
1130
231
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
89.0ms512×0valid
Compiler

Compiled 251 to 55 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 16.0ms (23.3% of total)
ival-sqrt: 15.0ms (21.9% of total)
ival-add: 12.0ms (17.5% of total)
ival-cos: 11.0ms (16% of total)
ival-div: 9.0ms (13.1% of total)
ival-pow2: 5.0ms (7.3% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess102.0ms (1%)

Memory
-15.4MiB live, 103.7MiB 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (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)))) J)
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
2.2MiB live, 2.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.5%
(*.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)

simplify42.0ms (0.4%)

Memory
1.3MiB live, 39.3MiB 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (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)))) J)
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.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)

localize58.0ms (0.5%)

Memory
9.6MiB live, 92.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.22265625
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy7.392500457280131
(*.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)))))
accuracy8.191849369917165
(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
41.0ms256×0valid
Compiler

Compiled 112 to 19 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 15.0ms (50% of total)
ival-cos: 6.0ms (20% of total)
ival-div: 3.0ms (10% of total)
ival-sqrt: 2.0ms (6.7% of total)
ival-pow2: 2.0ms (6.7% of total)
ival-add: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series37.0ms (0.4%)

Memory
-12.1MiB live, 64.6MiB allocated
Counts
6 → 156
Calls
Call 1
Inputs
#s(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))))) (patch (*.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))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -2 binary64) J) (patch (*.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())
#s(alt (cos.f64 (/.f64 K #s(literal 2 binary64))) (patch (cos.f64 (/.f64 K #s(literal 2 binary64))) #<representation binary64>) () ())
#s(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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 U) (taylor 0 J) (#s(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))))) (patch (*.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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U)) (taylor 0 J) (#s(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))))) (patch (*.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))))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 J) (#s(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))))) (patch (*.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))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3)))))))) (taylor 0 J) (#s(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))))) (patch (*.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))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* J (cos (* 1/2 K)))) (taylor inf J) (#s(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))))) (patch (*.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))))) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))) (taylor inf J) (#s(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))))) (patch (*.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))))) #<representation binary64>) () ())) ())
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#s(alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (taylor -inf K) (#s(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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))) (taylor -inf K) (#s(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)))) (patch (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)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 U) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 U) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 U) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf U) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf U) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor 0 J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf J) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (pow J 2))) (taylor 0 K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))) (taylor 0 K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))) (taylor 0 K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor inf K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (taylor -inf K) (#s(alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

39 calls:

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

simplify207.0ms (1.9%)

Memory
-36.3MiB live, 303.5MiB allocated
Algorithm
1×egg-herbie
Rules
19 354×lower-fma.f64
19 354×lower-fma.f32
6 716×lower-*.f64
6 716×lower-*.f32
4 982×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03603717
111533609
245143477
084993319
Stop Event
1×iter limit
1×node limit
Counts
156 → 155
Calls
Call 1
Inputs
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* -1 U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 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) (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)))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
Outputs
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J J)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 U U) U)) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)) (*.f64 (*.f64 U U) U)) #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 6 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64)))) #s(literal -4 binary64))) (*.f64 J J) (*.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))) #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) J)
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(*.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))) #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J))))) J)
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 5 binary64)) (pow.f64 J #s(literal 6 binary64)))) #s(literal -1/512 binary64) (fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 J J) (*.f64 J J)))) #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J J)))))) J)
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
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(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64)))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/96 binary64)) (*.f64 K K)) K) K (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(fma.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal -17/2880 binary64)) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/96 binary64))) (*.f64 (*.f64 U (/.f64 U (*.f64 J J))) (fma.f64 (*.f64 K K) #s(literal 1/16 binary64) #s(literal 1/4 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J J))) #s(literal 1/4 binary64))

rewrite175.0ms (1.6%)

Memory
3.8MiB live, 282.5MiB 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
01766
02866
17966
243266
3436466
0812966
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 306
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
Outputs
(*.f64 (*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (pow.f64 (fma.f64 U (/.f64 U (*.f64 (*.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 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 U (/.f64 U (*.f64 (*.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 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.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 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal -2 binary64))) J)
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.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 binary64))) (neg.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) (*.f64 #s(literal 2 binary64) J))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.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 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.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 binary64))) (*.f64 #s(literal 2 binary64) J)) (neg.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.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 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.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 binary64))) J) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.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 binary64))) #s(literal -2 binary64)) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal -2 binary64)) (*.f64 J (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.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 binary64)))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.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 binary64)))) J)
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.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 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.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 binary64))) #s(literal -2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J))
(*.f64 (pow.f64 (fma.f64 U (/.f64 U (*.f64 (*.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 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 U (/.f64 U (*.f64 (*.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 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (/.f64 (*.f64 U U) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 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 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (/.f64 #s(literal 1/2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64)))))) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) (/.f64 U (*.f64 #s(literal 2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.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 #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.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 (neg.f64 U) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64)))))) (*.f64 #s(literal 2 binary64) J)) (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.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))))))) (*.f64 U U)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (/.f64 (*.f64 #s(literal 2 binary64) J) U))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 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 (*.f64 #s(literal 2 binary64) J) U) (/.f64 (*.f64 #s(literal 2 binary64) J) U))))
(neg.f64 (/.f64 (*.f64 U 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)))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))) #s(literal 2 binary64) (*.f64 (log.f64 U) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) #s(literal -1 binary64) (log.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))))))
(exp.f64 (+.f64 (log.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))) (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))) #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))

eval143.0ms (1.3%)

Memory
9.4MiB live, 200.3MiB allocated
Compiler

Compiled 16 532 to 1 736 computations (89.5% saved)

prune73.0ms (0.7%)

Memory
14.6MiB live, 177.0MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New46712479
Fresh000
Picked101
Done000
Total46812480
Accuracy
99.9%
Counts
480 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.2%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.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)))))))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 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)))))
64.5%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.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 binary64)))) #s(literal -2 binary64))
71.4%
(*.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 (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (*.f64 #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 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J))))))
9.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
58.2%
(*.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 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
▶36.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
▶52.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
10.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
36.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
▶55.4%
#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 K #s(literal 1/2 binary64)))))
▶37.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
Compiler

Compiled 622 to 412 computations (33.8% saved)

simplify126.0ms (1.2%)

Memory
16.0MiB live, 128.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
cost-diff0
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))
cost-diff0
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
cost-diff0
(*.f64 J J)
cost-diff0
(*.f64 (*.f64 J J) #s(literal -2 binary64))
cost-diff0
(fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
cost-diff0
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
cost-diff0
(*.f64 J #s(literal -2 binary64))
cost-diff0
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
cost-diff0
#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 K #s(literal 1/2 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-diff128
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J))))
cost-diff384
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J)))
cost-diff512
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64)))
cost-diff640
(*.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))
Rules
4 272×lower-*.f32
4 236×lower-*.f64
4 044×lower-fma.f32
4 040×lower-fma.f64
2 572×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057481
091481
1162463
2358444
3929426
42348426
53150426
65164426
08424417
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 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (*.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 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J))))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J)))
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U)
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(*.f64 #s(literal 2 binary64) J)
(*.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 #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(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
#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 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
(fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))
(*.f64 (*.f64 J J) #s(literal -2 binary64))
(*.f64 J J)
J
#s(literal -2 binary64)
(/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U)
(pow.f64 (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))
K
#s(literal 1/2 binary64)
#s(literal 2 binary64)
U
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(*.f64 (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))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
J
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(*.f64 U U)
U
#s(literal -1/4 binary64)
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 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) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (*.f64 (fma.f64 (cos.f64 K) J J) J) #s(literal 2 binary64))) U #s(literal 1 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (*.f64 (+.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)))))
(sqrt.f64 (fma.f64 (/.f64 U (*.f64 (*.f64 (fma.f64 (cos.f64 K) J J) J) #s(literal 2 binary64))) U #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J))))
(fma.f64 (/.f64 U (*.f64 (*.f64 (fma.f64 (cos.f64 K) J J) J) #s(literal 2 binary64))) U #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J)))
(/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 K) J J) J) #s(literal 2 binary64)))
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U)
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(*.f64 #s(literal 2 binary64) J)
(*.f64 (+.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))
(fma.f64 (cos.f64 K) J 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 (cos.f64 K) #s(literal 1/2 binary64) #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 (cos.f64 K) #s(literal 1/2 binary64))
(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)))
(neg.f64 K)
(*.f64 K #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
U
#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 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 K #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) K)
K
#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 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (neg.f64 U)))
(fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))
(fma.f64 (/.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) U) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (neg.f64 U))
(*.f64 (*.f64 J J) #s(literal -2 binary64))
(*.f64 J J)
J
#s(literal -2 binary64)
(/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U)
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 K #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) K)
K
#s(literal 1/2 binary64)
#s(literal 2 binary64)
U
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (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)))) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 K #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) K)
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
J
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(*.f64 (*.f64 U U) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(*.f64 U U)
U
#s(literal -1/4 binary64)
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)

localize190.0ms (1.8%)

Memory
-11.4MiB live, 353.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
accuracy0.12890625
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)
accuracy6.436153752185247
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
accuracy27.94499419285012
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
accuracy0.10546875
(/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U)
accuracy0.28515625
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
accuracy6.011775064840696
(fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))
accuracy39.24917141582408
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
accuracy0
(*.f64 J #s(literal -2 binary64))
accuracy0
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
accuracy0.12890625
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
accuracy28.505486873260526
#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 K #s(literal 1/2 binary64)))))
accuracy0
(neg.f64 U)
accuracy39.89205258544532
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy0.3522712997917793
(+.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))))))
accuracy4.693062224972744
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J)))
accuracy7.392500457280131
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (*.f64 (+.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))))))
accuracy8.191849369917165
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J)))))
Samples
107.0ms256×0valid
Compiler

Compiled 435 to 52 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-mult: 34.0ms (41.5% of total)
ival-cos: 20.0ms (24.4% of total)
ival-div: 12.0ms (14.6% of total)
ival-add: 5.0ms (6.1% of total)
ival-pow2: 5.0ms (6.1% of total)
ival-sqrt: 3.0ms (3.7% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series90.0ms (0.8%)

Memory
15.1MiB live, 165.7MiB allocated
Counts
24 → 600
Calls
Call 1
Inputs
#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) (patch (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J))) (patch (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J)))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #<representation binary64>) () ())
#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ())
#s(alt #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 K #s(literal 1/2 binary64))))) (patch #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 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (patch (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 J #s(literal -2 binary64)) (patch (*.f64 J #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (patch (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)) (patch (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 J J) #s(literal -2 binary64)) (patch (*.f64 (*.f64 J J) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 J J) (patch (*.f64 J J) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) (patch (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J))))) (patch (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J))))) #<representation binary64>) () ())
#s(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 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J)))))) (patch (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (*.f64 (+.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)))))) #<representation binary64>) () ())
#s(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)))))) (patch (+.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)))))) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (patch (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) (patch (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())
Outputs
#s(alt (* 2 J) (taylor 0 K) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* J (pow K 2))) (* 2 J)) (taylor 0 K) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2)))))) (taylor 0 K) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J)))))) (taylor 0 K) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor inf K) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor inf K) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor inf K) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor inf K) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor -inf K) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor -inf K) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor -inf K) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor -inf K) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor 0 J) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor 0 J) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor 0 J) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor 0 J) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor inf J) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor inf J) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor inf J) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor inf J) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor -inf J) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor -inf J) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor -inf J) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K)))))) (taylor -inf J) (#s(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 #s(literal 2 binary64) J)) (patch (*.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)) #<representation binary64>) () ())) ())
#s(alt (* -1 K) (taylor 0 K) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) (patch (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 K) (taylor 0 K) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) (patch (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 K) (taylor 0 K) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) (patch (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 K) (taylor 0 K) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) (patch (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 K) (taylor inf K) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) (patch (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 K) (taylor inf K) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) (patch (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 K) (taylor inf K) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) (patch (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 K) (taylor inf K) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) (patch (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 K) (taylor -inf K) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) (patch (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 K) (taylor -inf K) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) (patch (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 K) (taylor -inf K) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) (patch (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 K) (taylor -inf K) (#s(alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) (patch (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (taylor 0 U) (#s(alt (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J))) (patch (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J))) #<representation binary64>) () ())) ())
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#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (taylor inf J) (#s(alt (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) (patch (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (taylor -inf J) (#s(alt (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) (patch (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (taylor -inf J) (#s(alt (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) (patch (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (taylor -inf J) (#s(alt (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) (patch (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))) (taylor -inf J) (#s(alt (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) (patch (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) #<representation binary64>) () ())) ())
#s(alt J (taylor 0 K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (+ J (* -1/8 (* J (pow K 2)))) (taylor 0 K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2)))))) (taylor 0 K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J)))))) (taylor 0 K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor inf K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor inf K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor inf K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor inf K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor -inf K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor -inf K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor -inf K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor -inf K) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor 0 J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor 0 J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor 0 J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor 0 J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor -inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor -inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor -inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
#s(alt (* J (cos (* 1/2 K))) (taylor -inf J) (#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())) ())
Calls

150 calls:

TimeVariablePointExpression
12.0ms
U
@0
(+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U))
4.0ms
U
@0
(/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))
3.0ms
U
@0
(/ (pow (cos (* K 1/2)) 2) U)
2.0ms
J
@0
(* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J))
1.0ms
K
@0
(+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U))

simplify313.0ms (3%)

Memory
10.5MiB live, 284.8MiB allocated
Algorithm
1×egg-herbie
Rules
12 392×lower-fma.f64
12 392×lower-fma.f32
9 044×lower-*.f64
9 044×lower-*.f32
3 788×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068114423
1223513863
0842813019
Stop Event
1×iter limit
1×node limit
Counts
600 → 595
Calls
Call 1
Inputs
(* 2 J)
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(* -1 K)
(* -1 K)
(* -1 K)
(* -1 K)
(* -1 K)
(* -1 K)
(* -1 K)
(* -1 K)
(* -1 K)
(* -1 K)
(* -1 K)
(* -1 K)
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))) (pow J 2)) (pow J 2))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 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))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
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(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos (* -1 K)) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos (* -1 K)) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos (* -1 K)) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos (* -1 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 (* -1 K)))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 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 (* -1 K))))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 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 (* -1 K)))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 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 (* -1 K)))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 K)))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos (* -1 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 (* -1 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 2)))))))))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K))))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K))))))))))
(* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))))))
(* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3))))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))))))
(* -1 (* U (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3))))))))
(* -1 (* U (+ (* -4 (* (/ (* (pow J 6) (cos (* 1/2 K))) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 5)))) (+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos (* -1 K))))))) (+ (* -1 (* (cos (* 1/2 K)) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos (* -1 K)))))))) (* 2 (* (/ (* (pow J 4) (cos (* 1/2 K))) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos (* -1 K)))) 3)))))))))
1
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(+ 1/2 (* 1/2 (cos (* -1 K))))
(+ 1/2 (* 1/2 (cos (* -1 K))))
1
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(/ 1 U)
(+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))
(+ (* (pow K 2) (- (* 1/48 (/ (pow K 2) U)) (* 1/4 (/ 1 U)))) (/ 1 U))
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U))
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(/ (pow (cos (* 1/2 K)) 2) U)
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) J))
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
Outputs
(* 2 J)
(*.f64 J #s(literal 2 binary64))
(+ (* -1/2 (* J (pow K 2))) (* 2 J))
(fma.f64 (*.f64 (*.f64 K K) J) #s(literal -1/2 binary64) (*.f64 J #s(literal 2 binary64)))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* 1/24 (* J (pow K 2))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/2 binary64) J)) K) K (*.f64 J #s(literal 2 binary64)))
(+ (* 2 J) (* (pow K 2) (+ (* -1/2 J) (* (pow K 2) (+ (* -1/720 (* J (pow K 2))) (* 1/24 J))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/24 binary64) J)) K) K (*.f64 #s(literal -1/2 binary64) J)) (*.f64 K K) (*.f64 J #s(literal 2 binary64)))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) #s(literal 2 binary64))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) #s(literal 2 binary64))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) #s(literal 2 binary64))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) #s(literal 2 binary64))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) #s(literal 2 binary64))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) #s(literal 2 binary64))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) #s(literal 2 binary64))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) #s(literal 2 binary64))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) #s(literal 2 binary64))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
(*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) #s(literal 2 binary64))
(* 2 (* J (+ 1/2 (* 1/2 (cos (* -1 K))))))
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(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 U U) J) #s(literal 7/23040 binary64) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/3072 binary64))) #s(literal 1/4 binary64)) K) K (*.f64 (/.f64 (*.f64 U U) J) #s(literal -5/1536 binary64))) (*.f64 K K) (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J))) (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64)))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))
J
(+ J (* -1/8 (* J (pow K 2))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 K K) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) J (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) J (*.f64 #s(literal 1/384 binary64) J)) K) K (*.f64 #s(literal -1/8 binary64) J)) (*.f64 K K) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)

rewrite231.0ms (2.2%)

Memory
-8.0MiB live, 197.7MiB allocated
Rules
4 652×lower-/.f32
4 644×lower-fma.f32
4 642×lower-/.f64
4 640×lower-fma.f64
3 624×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057379
091379
1293352
22026332
08235326
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 528
Calls
Call 1
Inputs
(*.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 #s(literal 2 binary64) (*.f64 K #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) J)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #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))
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 J #s(literal -2 binary64))
(cos.f64 (*.f64 K #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 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
(fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U))
(*.f64 (*.f64 J J) #s(literal -2 binary64))
(*.f64 J J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #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 (/.f64 U (*.f64 #s(literal 2 binary64) J)) 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 #s(literal 2 binary64) 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))))))
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U)
(/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)
Outputs
(*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) J)
(*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 J (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 J #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (cos.f64 K) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (cos.f64 K) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 K))))) #s(literal 1/4 binary64))) (*.f64 J #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 J #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 K))))) #s(literal 1/4 binary64))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 K))))) #s(literal 1/4 binary64))) (*.f64 J #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 K) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 J #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 K))))) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 K) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (fma.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 K))))) #s(literal 1/4 binary64))) (*.f64 J #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 J #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (neg.f64 K))))) #s(literal 1/4 binary64))))))
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(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 U U) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(*.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(*.f64 U (/.f64 (*.f64 #s(literal -1/4 binary64) U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(*.f64 U (*.f64 (*.f64 #s(literal -1/4 binary64) U) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(*.f64 U (*.f64 U (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) J))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -1/4 binary64))) (neg.f64 J))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 J)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)))) (neg.f64 (neg.f64 (*.f64 (neg.f64 J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) #s(literal 1 binary64))) (*.f64 (neg.f64 J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -1/4 binary64)) J)
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (neg.f64 J))
(/.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U))) (neg.f64 (*.f64 (neg.f64 J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (neg.f64 J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) J)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 (/.f64 (*.f64 U U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U)))))
(neg.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (neg.f64 J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (neg.f64 J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J (*.f64 #s(literal -1/4 binary64) (*.f64 U U))))) #s(literal -1 binary64)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))

eval276.0ms (2.6%)

Memory
-4.7MiB live, 229.7MiB allocated
Compiler

Compiled 37 924 to 2 783 computations (92.7% saved)

prune439.0ms (4.1%)

Memory
-5.8MiB live, 323.4MiB allocated
Pruning

37 alts after pruning (34 fresh and 3 done)

PrunedKeptTotal
New1 180291 209
Fresh257
Picked235
Done000
Total1 184371 221
Accuracy
100.0%
Counts
1 221 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.2%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.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)))))))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 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)))))
▶75.3%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
71.4%
(*.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 (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (*.f64 #s(literal 2 binary64) J))))))
64.5%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)) (*.f64 J #s(literal 2 binary64)))))))
58.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
9.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
▶38.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
29.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (neg.f64 U)))
✓52.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
52.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J))))
29.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (cos (* K 1/2)) -2) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
14.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
22.1%
#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 U)) (+.f64 #s(literal 0 binary64) U)))
52.9%
#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) (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))))
▶10.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
40.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.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)))))) #s(literal 1/2 binary64))))
40.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
36.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
40.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (exp.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
✓55.4%
#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 K #s(literal 1/2 binary64)))))
▶28.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
28.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
28.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
✓37.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
25.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 (*.f64 K K) J) J) U) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 J J) U))) K) K (*.f64 (/.f64 (*.f64 J J) U) #s(literal 1/2 binary64))) (*.f64 K K) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
27.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) J) J) U) #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
23.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) U)))
36.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U)))
27.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
28.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)))
4.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))
23.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))) #s(literal -2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))))
28.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))))
28.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))))
▶30.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
48.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (*.f64 (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
64.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Compiler

Compiled 1 674 to 1 041 computations (37.8% saved)

simplify137.0ms (1.3%)

Memory
10.9MiB live, 83.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))
cost-diff0
(fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
cost-diff128
(*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
cost-diff0
(fma.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)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
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-diff640
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
cost-diff0
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
cost-diff0
(*.f64 J #s(literal -2 binary64))
cost-diff0
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
cost-diff0
(*.f64 #s(literal -2 binary64) J)
cost-diff0
#s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
cost-diff384
(fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff384
(/.f64 K #s(literal 2 binary64))
cost-diff640
(/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J))
Rules
5 646×lower-*.f32
5 612×lower-*.f64
4 488×lower-fma.f32
4 474×lower-fma.f64
2 426×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069587
0114574
1211560
2513538
31663538
45105538
08210532
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 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #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)
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J))
(*.f64 U #s(literal 1/2 binary64))
U
#s(literal 1/2 binary64)
(*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 K)
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(*.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 (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
#s(literal -1/46080 binary64)
(*.f64 K K)
K
#s(literal 1/384 binary64)
#s(literal -1/8 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (+.f64 #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)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
(fma.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)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U) J)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U)
(+.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
U
J
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
(*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
(fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64))
(*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))
(pow.f64 (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))
K
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 (*.f64 J J) (*.f64 U U))
(*.f64 J J)
J
(*.f64 U U)
U
#s(literal -2 binary64)
#s(literal -1 binary64)
(neg.f64 U)
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 #s(literal 2 binary64) J))) U #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(/.f64 K #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) K)
K
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 #s(literal 2 binary64) J))) U #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) J J) (*.f64 #s(literal 2 binary64) J))) U #s(literal 1 binary64))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J))
(/.f64 U (fma.f64 (cos.f64 K) J J))
(*.f64 U #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) U)
U
#s(literal 1/2 binary64)
(*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 K)
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) J)
(*.f64 J #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) J)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64))))
#s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J))
#s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))
(*.f64 #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
#s(literal -1/46080 binary64)
(*.f64 K K)
K
#s(literal 1/384 binary64)
#s(literal -1/8 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (+.f64 #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)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U) J) (*.f64 #s(literal 2 binary64) J) U)))
(fma.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)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))
(neg.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U) J) (*.f64 #s(literal 2 binary64) J) U))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U) J)
(*.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U) J)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(+.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 (cos.f64 K) #s(literal 1/2 binary64) #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 (cos.f64 K) #s(literal 1/2 binary64))
(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))
(*.f64 #s(literal 1/2 binary64) K)
K
U
J
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal 2 binary64)) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1 binary64)) U))
(*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal 2 binary64)) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 U U)) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))
(*.f64 (*.f64 (/.f64 J (*.f64 U U)) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 K #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) K)
K
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(/.f64 (*.f64 J J) (*.f64 U U))
(*.f64 (/.f64 J (*.f64 U U)) J)
(*.f64 J J)
J
(*.f64 U U)
U
#s(literal -2 binary64)
#s(literal -1 binary64)
(neg.f64 U)

localize341.0ms (3.2%)

Memory
16.7MiB live, 250.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.28515625
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
accuracy3.7682572664721237
(*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
accuracy16.22912685715216
(/.f64 (*.f64 J J) (*.f64 U U))
accuracy56.26124404461761
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
accuracy0.10546875
(/.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)))))) U)
accuracy0.1875
(*.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)))))) U) J)
accuracy0.3522712997917793
(+.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))))))
accuracy39.24917141582408
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
accuracy0.109375
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
accuracy0.12890625
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))
accuracy28.505486873260526
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
accuracy31.267966391252557
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
accuracy0
(*.f64 #s(literal -2 binary64) J)
accuracy28.505486873260526
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
accuracy28.713727667513606
#s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J))
accuracy0.12890625
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.3522712997917793
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy7.392500457280131
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
accuracy8.191849369917165
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
Samples
240.0ms256×0valid
Compiler

Compiled 488 to 64 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 212.0ms
ival-mult: 78.0ms (36.8% of total)
const: 57.0ms (26.9% of total)
ival-div: 32.0ms (15.1% of total)
ival-cos: 25.0ms (11.8% of total)
ival-add: 10.0ms (4.7% of total)
ival-pow2: 5.0ms (2.4% of total)
ival-sqrt: 3.0ms (1.4% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series132.0ms (1.2%)

Memory
-5.2MiB live, 188.4MiB allocated
Counts
27 → 696
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())
#s(alt (/.f64 K #s(literal 2 binary64)) (patch (/.f64 K #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J))) #<representation binary64>) () ())
#s(alt #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)) (patch #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -2 binary64) J) (patch (*.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 J #s(literal -2 binary64)) (patch (*.f64 J #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (patch #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))) (patch (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(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)))))) (patch (+.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)))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))) #<representation binary64>) () ())
#s(alt (fma.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)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)) (patch (fma.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)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)) (patch (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) (patch (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (patch (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) #<representation binary64>) () ())
#s(alt (*.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)))))) U) J) (patch (*.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)))))) U) J) #<representation binary64>) () ())
#s(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)))))) U) (patch (/.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)))))) U) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 J J) (*.f64 U U)) (patch (/.f64 (*.f64 J J) (*.f64 U U)) #<representation binary64>) () ())
#s(alt (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
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#s(alt (pow (cos (* 1/2 K)) 2) (taylor -inf K) (#s(alt (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos (* 1/2 K)) 2) (taylor -inf K) (#s(alt (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (cos (* 1/2 K)) 2) (taylor -inf K) (#s(alt (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

174 calls:

TimeVariablePointExpression
17.0ms
U
@0
(+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U))
15.0ms
K
@-inf
(* (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) (neg U))
3.0ms
J
@inf
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1)))
2.0ms
U
@0
(/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J))
2.0ms
U
@0
(* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U)))

simplify234.0ms (2.2%)

Memory
32.4MiB live, 369.4MiB allocated
Algorithm
1×egg-herbie
Rules
12 506×lower-fma.f64
12 506×lower-fma.f32
9 396×lower-*.f64
9 396×lower-*.f32
3 766×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070515255
1232614922
0861113978
Stop Event
1×iter limit
1×node limit
Counts
696 → 677
Calls
Call 1
Inputs
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U J))
(+ (* 1/8 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/16 (/ U J)) (* 1/48 (/ U J))))) (* 1/8 (/ U J)))))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/8 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/1440 (/ U J)) (+ (* 1/192 (/ U J)) (* 1/4 (+ (* -1/16 (/ U J)) (* 1/48 (/ U J)))))))) (* -1/2 (+ (* -1/16 (/ U J)) (* 1/48 (/ U J)))))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
1
(+ 1 (* 1/4 (/ (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))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))))
(+ 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 (* 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 (* 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) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
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
(+ 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 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(+ (* -2 (* (/ (* (pow J 2) (cos (* 1/2 K))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(+ (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -2 (* (/ (cos (* 1/2 K)) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (pow J 2) (+ (* -4 (* (/ (* (pow J 2) (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 2 (* (/ (* (cos (* 1/2 K)) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))
(* -2 (* J (cos (* 1/2 K))))
(+ (* -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)))))))
(* 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))))))))
(* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))
(* -1 (* 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))))))))))
(* -1 (* 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))))))))
(* -1 (* 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)))))))))
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
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(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
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(+ 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)))))))))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* -1 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K)))))))) J)
(/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (pow J 2) (+ (* (/ 1 U) (sqrt (+ 1/2 (* 1/2 (cos K))))) (* (pow J 2) (+ (* -1 (* (/ (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2)))) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) (* 2 (* (/ (* (pow J 2) (+ (* 1/2 (/ (cos K) (pow U 2))) (* 1/2 (/ 1 (pow U 2))))) (pow U 3)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3))))))))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
1
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
(* -2 (* J (cos (* 1/2 K))))
1/384
(+ 1/384 (* -1/46080 (pow K 2)))
(+ 1/384 (* -1/46080 (pow K 2)))
(+ 1/384 (* -1/46080 (pow K 2)))
(* -1/46080 (pow K 2))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* -1/46080 (pow K 2))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(/ J U)
(+ (* -1/4 (/ (* J (pow K 2)) U)) (/ J U))
(+ (* (pow K 2) (+ (* -1/4 (/ J U)) (* 1/48 (/ (* J (pow K 2)) U)))) (/ J U))
(+ (* (pow K 2) (+ (* -1/4 (/ J U)) (* (pow K 2) (+ (* -1/1440 (/ (* J (pow K 2)) U)) (* 1/48 (/ J U)))))) (/ J U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(/ 1 U)
(+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))
(+ (* (pow K 2) (- (* 1/48 (/ (pow K 2) U)) (* 1/4 (/ 1 U)))) (/ 1 U))
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U))
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/ (pow J 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) (pow U 2))
(/ (pow J 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) (pow U 2))
(/ (pow J 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) (pow U 2))
(/ (pow J 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) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
(/ (pow J 2) (pow U 2))
1
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
(pow (cos (* 1/2 K)) 2)
Outputs
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal 1/2 binary64))
(+ (* 1/8 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J)))
(fma.f64 (/.f64 (*.f64 (*.f64 K K) U) J) #s(literal 1/8 binary64) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/16 (/ U J)) (* 1/48 (/ U J))))) (* 1/8 (/ U J)))))
(fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 K K) U) J) #s(literal 1/48 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 U J))) K) K (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/8 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/1440 (/ U J)) (+ (* 1/192 (/ U J)) (* 1/4 (+ (* -1/16 (/ U J)) (* 1/48 (/ U J)))))))) (* -1/2 (+ (* -1/16 (/ U J)) (* 1/48 (/ U J)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 U J) #s(literal 13/2880 binary64) (*.f64 (/.f64 U J) #s(literal -1/96 binary64)))) (*.f64 K K) (*.f64 #s(literal 1/48 binary64) (/.f64 U J))) (*.f64 K K) (*.f64 #s(literal 1/8 binary64) (/.f64 U J))) (*.f64 K K) (*.f64 (/.f64 U J) #s(literal 1/2 binary64)))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(*.f64 (/.f64 U (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* -2 (* J (cos (* 1/2 K))))
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(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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(* 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)))))))))
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(* 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)))))))
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(* 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))))))))
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(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
1/384
#s(literal 1/384 binary64)
(+ 1/384 (* -1/46080 (pow K 2)))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
(+ 1/384 (* -1/46080 (pow K 2)))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
(+ 1/384 (* -1/46080 (pow K 2)))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
(* -1/46080 (pow K 2))
(*.f64 #s(literal -1/46080 binary64) (*.f64 K K))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)
(* -1/46080 (pow K 2))
(*.f64 #s(literal -1/46080 binary64) (*.f64 K K))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)
(/ J U)
(/.f64 J U)
(+ (* -1/4 (/ (* J (pow K 2)) U)) (/ J U))
(fma.f64 (/.f64 (*.f64 (*.f64 K K) J) U) #s(literal -1/4 binary64) (/.f64 J U))
(+ (* (pow K 2) (+ (* -1/4 (/ J U)) (* 1/48 (/ (* J (pow K 2)) U)))) (/ J U))
(fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 K K) J) U) #s(literal 1/48 binary64) (*.f64 (/.f64 J U) #s(literal -1/4 binary64))) K) K (/.f64 J U))
(+ (* (pow K 2) (+ (* -1/4 (/ J U)) (* (pow K 2) (+ (* -1/1440 (/ (* J (pow K 2)) U)) (* 1/48 (/ J U)))))) (/ J U))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 K K) J) U) #s(literal -1/1440 binary64) (*.f64 (/.f64 J U) #s(literal 1/48 binary64))) K) K (*.f64 (/.f64 J U) #s(literal -1/4 binary64))) (*.f64 K K) (/.f64 J U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ (* J (+ 1/2 (* 1/2 (cos K)))) U)
(*.f64 J (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U))
(/ 1 U)
(/.f64 #s(literal 1 binary64) U)
(+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))
(fma.f64 (/.f64 (*.f64 K K) U) #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) U))
(+ (* (pow K 2) (- (* 1/48 (/ (pow K 2) U)) (* 1/4 (/ 1 U)))) (/ 1 U))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/48 binary64) U) K) K (/.f64 #s(literal -1/4 binary64) U)) (*.f64 K K) (/.f64 #s(literal 1 binary64) U))
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 K K) U) #s(literal -1/1440 binary64) (/.f64 #s(literal 1/48 binary64) U)) K) K (/.f64 #s(literal -1/4 binary64) U)) (*.f64 K K) (/.f64 #s(literal 1 binary64) U))
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (+ 1/2 (* 1/2 (cos K))) U)
(/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) U)
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
(/ (pow J 2) (pow U 2))
(/.f64 (*.f64 J J) (*.f64 U U))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow K 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1440 binary64) (*.f64 K K) #s(literal 1/48 binary64)) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 1 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow (cos (* 1/2 K)) 2)
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))

rewrite183.0ms (1.7%)

Memory
-11.8MiB live, 304.0MiB allocated
Rules
7 024×lower-*.f32
6 990×lower-*.f64
3 868×lower-/.f32
3 858×lower-/.f64
2 680×lower--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069464
0114468
1390428
22643420
09691420
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 443
Calls
Call 1
Inputs
(/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J))
(/.f64 K #s(literal 2 binary64))
(fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) 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 (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J))
(*.f64 #s(literal -2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
(*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))
(*.f64 J #s(literal -2 binary64))
#s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(*.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(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.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)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
(fma.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)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U))
(*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
(fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64))
(*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U)))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U) J)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U)
(/.f64 (*.f64 J J) (*.f64 U U))
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 U J))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (/.f64 J (*.f64 #s(literal 1/2 binary64) U)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 (/.f64 U (+.f64 #s(literal 1 binary64) (cos.f64 K))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 U J))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) U)
(*.f64 (/.f64 U J) (pow.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (/.f64 U (+.f64 #s(literal 1 binary64) (cos.f64 K))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) U))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 U (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (*.f64 #s(literal -1/2 binary64) U) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 J) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) U))
(*.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 #s(literal 1 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 #s(literal 1 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 J (*.f64 (/.f64 U (+.f64 #s(literal 1 binary64) (cos.f64 K))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 J (*.f64 #s(literal 1/2 binary64) U))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 J (*.f64 #s(literal 1/2 binary64) U))) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 U (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) J)
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) J) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 U (+.f64 #s(literal 1 binary64) (cos.f64 K))) #s(literal 1 binary64))) (neg.f64 J))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) U)) (neg.f64 (*.f64 (neg.f64 J) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) #s(literal 1 binary64)) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 U (+.f64 #s(literal 1 binary64) (cos.f64 K))) #s(literal 1 binary64)) J)
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 (neg.f64 J) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 J (*.f64 #s(literal 1/2 binary64) U)))))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 (/.f64 U (+.f64 #s(literal 1 binary64) (cos.f64 K))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 J (*.f64 #s(literal 1/2 binary64) U))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 J (*.f64 #s(literal 1/2 binary64) U))))
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 (neg.f64 J) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 J (*.f64 #s(literal 1/2 binary64) U)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 K) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) K) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) K)
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) K) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) K) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 K)) #s(literal 2 binary64))
(/.f64 (neg.f64 K) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) K)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) K) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K))
(/.f64 K #s(literal 2 binary64))
(neg.f64 (/.f64 K #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) K)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 U (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64)))) (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 U (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64)))) (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 U (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 U (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 U (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 U (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 U (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64)))) (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 U (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) U) U)) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 U (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) U) (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))))
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(/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) K))))) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) K))))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) K))))) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) K))))) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))))
(exp.f64 (+.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))

eval200.0ms (1.9%)

Memory
-5.0MiB live, 401.0MiB allocated
Compiler

Compiled 34 164 to 2 391 computations (93% saved)

prune261.0ms (2.5%)

Memory
-1.5MiB live, 441.0MiB allocated
Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New1 145131 158
Fresh181129
Picked325
Done033
Total1 166291 195
Accuracy
100.0%
Counts
1 195 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.2%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.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)))))))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 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)))))
▶75.3%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
71.4%
(*.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 (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (*.f64 #s(literal 2 binary64) J))))))
52.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
▶32.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
▶64.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
38.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
✓52.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
38.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
52.9%
#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) (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))))
▶10.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
10.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
40.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.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)))))) #s(literal 1/2 binary64))))
40.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
40.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (exp.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
✓55.4%
#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 K #s(literal 1/2 binary64)))))
✓28.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
16.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
28.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
▶12.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
✓37.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
23.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 J J) (*.f64 (neg.f64 U) U)) U)))
27.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
28.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)))
23.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))) #s(literal -2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))))
28.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))))
28.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))))
28.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
✓30.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
Compiler

Compiled 1 231 to 760 computations (38.3% saved)

simplify154.0ms (1.5%)

Memory
-5.5MiB live, 153.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
cost-diff128
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U)
cost-diff192
(/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
cost-diff256
(*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U))
cost-diff320
(*.f64 #s(literal 1 binary64) K)
cost-diff512
(fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(literal -2 binary64) J)
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
cost-diff0
(neg.f64 U)
cost-diff0
#s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))
cost-diff0
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
cost-diff0
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
cost-diff384
(fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff640
(/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J))
Rules
5 274×lower-*.f32
5 234×lower-*.f64
5 204×lower-fma.f32
5 194×lower-fma.f64
2 454×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084643
0126637
1245628
2655607
32196602
45220600
08235579
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
J
#s(literal -2 binary64)
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J))
(*.f64 U #s(literal 1/2 binary64))
U
(*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 K)
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
(*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))
#s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 U)
U
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
U
(*.f64 J J)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
(*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U))
(fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 1 binary64) K))
(*.f64 #s(literal 1 binary64) K)
#s(literal 1 binary64)
K
#s(literal 1/2 binary64)
(*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)))
J
(*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))
(/.f64 J (*.f64 U U))
(*.f64 U U)
U
#s(literal -2 binary64)
#s(literal -1 binary64)
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U)
(/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J))
#s(literal 1/4 binary64)
(*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)
(*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 K)
K
#s(literal 1/2 binary64)
J
U
#s(literal 1 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)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
Outputs
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) J)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 K #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) K)
K
#s(literal 1/2 binary64)
J
#s(literal -2 binary64)
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) J)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) J)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J))
(/.f64 U (fma.f64 (cos.f64 K) J J))
(*.f64 U #s(literal 1/2 binary64))
U
(*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 K)
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(*.f64 J #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (neg.f64 U) #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64))))
(*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))
(*.f64 (neg.f64 U) #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 U)
U
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 (/.f64 U (*.f64 J J)) U)
(*.f64 U U)
U
(*.f64 J J)
#s(literal 1/4 binary64)
#s(literal 1 binary64)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 J (*.f64 U U)) U))
(*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U))
(fma.f64 (*.f64 U (fma.f64 (cos.f64 K) J J)) (/.f64 J (*.f64 U U)) U)
(fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fma.f64 (cos.f64 K) J J)) (/.f64 J (*.f64 U U)) #s(literal -1 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) 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))
(cos.f64 (*.f64 #s(literal 1 binary64) K))
(cos.f64 K)
(*.f64 #s(literal 1 binary64) K)
K
#s(literal 1 binary64)
K
#s(literal 1/2 binary64)
(*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)) J)
J
(*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))
(/.f64 J (*.f64 U U))
(*.f64 U U)
U
#s(literal -2 binary64)
#s(literal -1 binary64)
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) J)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) J)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) J)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (fma.f64 (cos.f64 K) J J) J)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U)
(/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) J J) J))
(/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J))
(/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J J)))
#s(literal 1/4 binary64)
(*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)
(*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 K)
K
#s(literal 1/2 binary64)
J
U
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 K #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) K)

localize329.0ms (3.1%)

Memory
-24.7MiB live, 362.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.6301040100281536
(fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))
accuracy7.184994997730265
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U)
accuracy7.392500457280131
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
accuracy8.191849369917165
(sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)))
accuracy3.7682572664721237
(*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U))
accuracy4.500306261189407
(*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)))
accuracy6.3122661801934665
(/.f64 J (*.f64 U U))
accuracy56.26124404461761
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
accuracy7.330000457280131
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
accuracy8.17669591166666
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
accuracy16.654908994244252
(/.f64 (*.f64 U U) (*.f64 J J))
accuracy22.80167935348738
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
accuracy0
(neg.f64 U)
accuracy3.7682572664721237
(*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))
accuracy33.289346296240176
#s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64))
accuracy56.26124404461761
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
accuracy0.12890625
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)
accuracy0.3522712997917793
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
accuracy7.392500457280131
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
accuracy8.191849369917165
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
Samples
197.0ms256×0valid
Compiler

Compiled 584 to 71 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 158.0ms
ival-mult: 63.0ms (39.8% of total)
ival-div: 39.0ms (24.7% of total)
ival-cos: 31.0ms (19.6% of total)
ival-add: 9.0ms (5.7% of total)
ival-sqrt: 7.0ms (4.4% of total)
ival-pow2: 4.0ms (2.5% of total)
ival-neg: 3.0ms (1.9% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series136.0ms (1.3%)

Memory
15.5MiB live, 128.8MiB allocated
Counts
28 → 816
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (patch (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) (patch (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 U) (patch (neg.f64 U) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -2 binary64) J) (patch (*.f64 #s(literal -2 binary64) J) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1 binary64) K) (patch (*.f64 #s(literal 1 binary64) K) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)) (patch (*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) (patch (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) (patch (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (patch #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (patch (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (patch (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 U U) (*.f64 J J)) (patch (/.f64 (*.f64 U U) (*.f64 J J)) #<representation binary64>) () ())
#s(alt (/.f64 J (*.f64 U U)) (patch (/.f64 J (*.f64 U U)) #<representation binary64>) () ())
#s(alt (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) (patch (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (patch (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor 0 U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor -inf U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor -inf U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor -inf U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor -inf U) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U J)) (taylor 0 K) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/8 (/ (* (pow K 2) U) J)) (* 1/2 (/ U J))) (taylor 0 K) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/16 (/ U J)) (* 1/48 (/ U J))))) (* 1/8 (/ U J))))) (taylor 0 K) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ U J)) (* (pow K 2) (+ (* 1/8 (/ U J)) (* (pow K 2) (+ (* -1/2 (* (pow K 2) (+ (* -1/1440 (/ U J)) (+ (* 1/192 (/ U J)) (* 1/4 (+ (* -1/16 (/ U J)) (* 1/48 (/ U J)))))))) (* -1/2 (+ (* -1/16 (/ U J)) (* 1/48 (/ U J))))))))) (taylor 0 K) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K)))))) (taylor inf K) (#s(alt (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (patch (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor inf K) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor inf J) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor inf J) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor -inf J) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor -inf J) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor -inf J) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))) (taylor 0 U) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor inf U) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2)))) (taylor inf U) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (taylor -inf U) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2)))) (taylor -inf U) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2)))) (taylor -inf U) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2)))) (taylor -inf U) (#s(alt (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

204 calls:

TimeVariablePointExpression
35.0ms
K
@0
(* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U)
1.0ms
K
@inf
(* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U)
1.0ms
K
@-inf
(* (/ 1/4 (* (* (+ (* (cos K) 1/2) 1/2) J) J)) U)
1.0ms
K
@inf
(+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1)
1.0ms
K
@-inf
(+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1)

simplify324.0ms (3.1%)

Memory
21.2MiB live, 331.8MiB allocated
Algorithm
1×egg-herbie
Rules
13 480×lower-fma.f64
13 480×lower-fma.f32
9 888×lower-*.f64
9 888×lower-*.f32
4 752×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081821201
1267020643
0864819176
Stop Event
1×iter limit
1×node limit
Counts
816 → 794
Calls
Call 1
Inputs
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/2 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
1
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1
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1
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(* -2 J)
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(* -1 U)
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(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
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(* -1 (* 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)))))))))
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(* 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)))))))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 J) J) J) (pow.f64 U #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)))) #s(literal 2 binary64) (fma.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))) U)
(* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(* -1 (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))
(*.f64 (fma.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))) (neg.f64 U))
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 J) J) J) (pow.f64 U #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))) (neg.f64 U))
(* -1 (* U (+ (* -1 (* (/ (pow J 3) (pow U 4)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (+ (* 2 (* (/ (pow J 5) (pow U 6)) (sqrt (pow (+ 1/2 (* 1/2 (cos K))) 5)))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K))))))))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 J) J) J) (pow.f64 U #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 5 binary64)))) #s(literal 2 binary64) (fma.f64 (/.f64 J (*.f64 U U)) (sqrt.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))))) (neg.f64 U))
(+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))
(fma.f64 (*.f64 (*.f64 K K) #s(literal 1/16 binary64)) (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2)))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (*.f64 K K) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) (fma.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/2880 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/96 binary64))) (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -1/24 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (*.f64 K K) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 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 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 J J))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 J J))
(/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))
(/.f64 (fma.f64 (/.f64 (*.f64 U U) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (*.f64 J J)) (*.f64 J J))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) #s(literal 1/4 binary64) #s(literal 1 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 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) (*.f64 U U) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) (*.f64 U U) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) (*.f64 U U) #s(literal 1 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 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) (*.f64 U U) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) (*.f64 U U) #s(literal 1 binary64))
(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) (*.f64 U U) #s(literal 1 binary64))

rewrite336.0ms (3.2%)

Memory
-35.4MiB live, 365.1MiB allocated
Rules
6 756×lower-*.f32
6 716×lower-*.f64
3 918×lower-/.f32
3 908×lower-/.f64
2 598×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084508
0126500
1411472
22461466
09434463
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 422
Calls
Call 1
Inputs
(/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J))
(fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
(*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))
#s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64))
(neg.f64 U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal -2 binary64) J)
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) K)
(*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
(/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)
(/.f64 (*.f64 U U) (*.f64 J J))
(/.f64 J (*.f64 U U))
(*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64)))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 U J))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (/.f64 J (*.f64 #s(literal 1/2 binary64) U)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 (/.f64 U (+.f64 #s(literal 1 binary64) (cos.f64 K))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 U J))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) U)
(*.f64 (*.f64 (/.f64 U (+.f64 #s(literal 1 binary64) (cos.f64 K))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) U)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) U))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 U (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (/.f64 U J) (pow.f64 (/.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -1/2 binary64) U) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 J) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) U))
(*.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 #s(literal 1 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 #s(literal 1 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 J (*.f64 (/.f64 U (+.f64 #s(literal 1 binary64) (cos.f64 K))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 J (*.f64 #s(literal 1/2 binary64) U))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 J (*.f64 #s(literal 1/2 binary64) U))) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 U (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) J)
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(/.f64 (neg.f64 (*.f64 (/.f64 U (+.f64 #s(literal 1 binary64) (cos.f64 K))) #s(literal 1 binary64))) (neg.f64 J))
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(/.f64 (*.f64 (/.f64 U (+.f64 #s(literal 1 binary64) (cos.f64 K))) #s(literal 1 binary64)) J)
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(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 (/.f64 U (+.f64 #s(literal 1 binary64) (cos.f64 K))) #s(literal 1 binary64))))
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(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
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(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 U (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 U (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 U (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))))) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 U (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 U (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 U (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 U (*.f64 (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J) #s(literal 2 binary64))))))
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U)) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U))))
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U)) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 2 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U)) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) (*.f64 U #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) (*.f64 (*.f64 U U) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) (*.f64 U U) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) (*.f64 U U)) #s(literal 1 binary64))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 1 binary64))
(fma.f64 U (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 U (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 2 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) J)) U) U))

eval204.0ms (1.9%)

Memory
16.2MiB live, 523.4MiB allocated
Compiler

Compiled 41 500 to 2 569 computations (93.8% saved)

prune301.0ms (2.8%)

Memory
-1.1MiB live, 688.8MiB allocated
Pruning

33 alts after pruning (25 fresh and 8 done)

PrunedKeptTotal
New1 27881 286
Fresh21719
Picked235
Done055
Total1 282331 315
Accuracy
100.0%
Counts
1 315 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.2%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.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)))))))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 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)))))
52.8%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
71.4%
(*.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 (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (*.f64 #s(literal 2 binary64) J))))))
43.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
✓32.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
8.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
9.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
71.2%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) J) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
✓64.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
10.5%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
33.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
38.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
✓52.9%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
38.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
52.9%
#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) (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))))
40.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.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)))))) #s(literal 1/2 binary64))))
40.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
40.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (exp.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
✓55.4%
#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 K #s(literal 1/2 binary64)))))
✓28.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
16.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
28.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
✓12.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
✓37.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
23.0%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 J J) (*.f64 (neg.f64 U) U)) U)))
27.4%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
28.3%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)))
23.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))) #s(literal -2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))))
12.1%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) U) #s(literal 2 binary64) U)))
28.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))))
28.7%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))))
28.8%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
✓30.6%
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
Compiler

Compiled 1 974 to 709 computations (64.1% saved)

regimes114.0ms (1.1%)

Memory
-0.8MiB live, 238.2MiB allocated
Counts
63 → 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 (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #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)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.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)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) J) J) U) #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 (*.f64 K K) J) J) U) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 J J) U))) K) K (*.f64 (/.f64 (*.f64 J J) U) #s(literal 1/2 binary64))) (*.f64 K K) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) U) #s(literal 2 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (cos (* K 1/2)) -2) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (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)))) #s(approx (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 J J) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 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 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #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)) (pow.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)))))) #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 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (*.f64 (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.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 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (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))) (/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 (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)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))) #s(literal -2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) J) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.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 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (*.f64 (+.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))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (exp.f64 (log.f64 (cos.f64 (*.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) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (*.f64 #s(literal 2 binary64) J))))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.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)))))))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal -1/2 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 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

6 calls:

20.0ms
J
20.0ms
(/.f64 K #s(literal 2 binary64))
18.0ms
U
17.0ms
K
17.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
89.4%2J
75.5%1K
86.9%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)))))
75.5%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
75.5%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes20.0ms (0.2%)

Memory
8.2MiB live, 46.6MiB allocated
Counts
60 → 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 (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #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)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.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)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) J) J) U) #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 (*.f64 K K) J) J) U) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 J J) U))) K) K (*.f64 (/.f64 (*.f64 J J) U) #s(literal 1/2 binary64))) (*.f64 K K) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) U) #s(literal 2 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (cos (* K 1/2)) -2) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (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)))) #s(approx (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 J J) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 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 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #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)) (pow.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)))))) #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 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (*.f64 (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.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 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (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))) (/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 (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)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))) #s(literal -2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) J) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J)) (/.f64 U (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.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 binary64)))) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) (*.f64 (+.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))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (exp.f64 (log.f64 (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))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) 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)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

1 calls:

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)))))
Results
AccuracySegmentsBranch
99.7%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes19.0ms (0.2%)

Memory
4.5MiB live, 43.4MiB allocated
Counts
55 → 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 (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #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)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.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)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) J) J) U) #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 (*.f64 K K) J) J) U) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 J J) U))) K) K (*.f64 (/.f64 (*.f64 J J) U) #s(literal 1/2 binary64))) (*.f64 K K) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) U) #s(literal 2 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (cos (* K 1/2)) -2) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (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)))) #s(approx (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 J J) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 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 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #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)) (pow.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)))))) #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 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (*.f64 (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.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 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (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))) (/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 (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)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))) #s(literal -2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) J) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (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 (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) J) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

1 calls:

15.0ms
(*.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
95.5%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes20.0ms (0.2%)

Memory
1.3MiB live, 43.3MiB allocated
Counts
54 → 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 (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #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)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.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)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) J) J) U) #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 (*.f64 K K) J) J) U) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 J J) U))) K) K (*.f64 (/.f64 (*.f64 J J) U) #s(literal 1/2 binary64))) (*.f64 K K) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) U) #s(literal 2 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (cos (* K 1/2)) -2) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (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)))) #s(approx (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 J J) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 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 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #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)) (pow.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)))))) #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 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (*.f64 (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.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 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (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))) (/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 (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)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))) #s(literal -2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (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)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

1 calls:

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)))))
Results
AccuracySegmentsBranch
95.1%5(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes35.0ms (0.3%)

Memory
-2.9MiB live, 73.8MiB allocated
Counts
51 → 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 (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #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)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.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)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) J) J) U) #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 (*.f64 K K) J) J) U) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 J J) U))) K) K (*.f64 (/.f64 (*.f64 J J) U) #s(literal 1/2 binary64))) (*.f64 K K) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) U) #s(literal 2 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (cos (* K 1/2)) -2) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (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)))) #s(approx (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 J J) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 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 J #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #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)) (pow.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)))))) #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 (*.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (*.f64 (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.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 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (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))) (/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 (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)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))) #s(literal -2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) (*.f64 U U))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) U) #s(approx (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)) (*.f64 J #s(literal 2 binary64)))))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

2 calls:

17.0ms
J
15.0ms
(*.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
83.2%2J
89.2%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 31 to 20 computations (35.5% saved)

regimes36.0ms (0.3%)

Memory
-25.8MiB live, 64.8MiB allocated
Counts
40 → 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 (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #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)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.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)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) J) J) U) #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 (*.f64 K K) J) J) U) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 J J) U))) K) K (*.f64 (/.f64 (*.f64 J J) U) #s(literal 1/2 binary64))) (*.f64 K K) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) U) #s(literal 2 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (cos (* K 1/2)) -2) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (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)))) #s(approx (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 J J) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))) (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -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))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

2 calls:

12.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
12.0ms
U
Results
AccuracySegmentsBranch
72.4%4U
90.6%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 31 to 20 computations (35.5% saved)

regimes25.0ms (0.2%)

Memory
20.1MiB live, 58.7MiB allocated
Counts
37 → 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 (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #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)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.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)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) J) J) U) #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 (*.f64 K K) J) J) U) (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 J J) U))) K) K (*.f64 (/.f64 (*.f64 J J) U) #s(literal 1/2 binary64))) (*.f64 K K) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (+ (* (+ (* (cos (* 1 K)) 1/2) 1/2) (* J (* (/ J (* U U)) -2))) -1) (neg U)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J) U) #s(literal 2 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 #s(approx (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (cos (* K 1/2)) -2) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (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)))) #s(approx (+ (* (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (* -2 J)) (neg U)) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (*.f64 J J) (*.f64 (neg.f64 U) U)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 J (*.f64 (/.f64 J (*.f64 U U)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) J (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal -2 binary64)) (sqrt.f64 #s(approx (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

2 calls:

13.0ms
J
10.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
76.2%3J
87.8%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)

regimes44.0ms (0.4%)

Memory
-18.7MiB live, 99.5MiB allocated
Counts
26 → 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 (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #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)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.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)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 K K) J) J) U) #s(literal 1/2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (cos (* K 1/2)) -2) J) (/ (* (* U U) -1/4) (* (cos (* K 1/2)) J))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (*.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

5 calls:

8.0ms
(/.f64 K #s(literal 2 binary64))
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)))))
8.0ms
K
8.0ms
J
8.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
55.7%2J
49.3%3K
49.3%3(/.f64 K #s(literal 2 binary64))
58.5%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
72.6%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)

regimes16.0ms (0.1%)

Memory
3.7MiB live, 42.7MiB allocated
Counts
22 → 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 (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #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)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.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)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal -1/192 binary64) J)) K) K (*.f64 #s(literal 1/4 binary64) J)) (*.f64 K K) (*.f64 #s(literal -2 binary64) J))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1/4 binary64) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

2 calls:

7.0ms
U
7.0ms
(*.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
53.8%4U
69.4%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 31 to 20 computations (35.5% saved)

regimes7.0ms (0.1%)

Memory
19.5MiB live, 19.5MiB 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 (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #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)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) #s(approx (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (fma.f64 #s(approx (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) #s(approx (* (* -2 J) (sqrt (+ (* (/ (* U U) (* J J)) 1/4) 1))) (*.f64 (fma.f64 (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 K K) J) (*.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 U U) U)) (+.f64 #s(literal 0 binary64) (fma.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)))) (fma.f64 (*.f64 (*.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* K 1/2)) 2) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.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(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

1 calls:

6.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
63.3%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)

regimes4.0ms (0%)

Memory
9.1MiB live, 9.1MiB allocated
Counts
7 → 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 (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #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)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 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 (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* K 1/2)) 2) U)) (neg U)) (-.f64 (*.f64 (/.f64 (*.f64 J J) U) #s(literal -2 binary64)) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

1 calls:

3.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
63.2%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)

regimes4.0ms (0%)

Memory
-30.9MiB live, 7.8MiB allocated
Counts
6 → 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 (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (fma.f64 (*.f64 (*.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 J #s(literal -2 binary64)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #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 (* (* J -2) (cos (* K 1/2))) (*.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))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))
Calls

1 calls:

3.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
63.2%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)

regimes5.0ms (0%)

Memory
14.0MiB live, 14.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J)))
Calls

3 calls:

2.0ms
(*.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)))))
2.0ms
J
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
51.9%2J
40.3%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
52.5%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory
24.3MiB live, 24.3MiB 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
U
1.0ms
J
1.0ms
K
Results
AccuracySegmentsBranch
37.7%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
37.7%1K
37.7%1(/.f64 K #s(literal 2 binary64))
37.7%1U
37.7%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)))))
37.7%1J
Compiler

Compiled 52 to 37 computations (28.8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
9.458854782399103e+304
+inf
0.0ms
-inf
-8.651541592780563e+306
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch3.0ms (0%)

Memory
-36.1MiB live, 2.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
9.458854782399103e+304
+inf
0.0ms
-inf
-8.651541592780563e+306
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
9.458854782399103e+304
+inf
0.0ms
-inf
-8.651541592780563e+306
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
9.458854782399103e+304
+inf
0.0ms
7.785537241725652e-168
3.793287784728275e-145
0.0ms
-5.247728276387071e-64
-1.6592690187925048e-71
0.0ms
-3.053917374209041e+300
-5.317768987989324e+292
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
9.458854782399103e+304
+inf
0.0ms
-3.053917374209041e+300
-5.317768987989324e+292
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
9.458854782399103e+304
+inf
0.0ms
7.785537241725652e-168
3.793287784728275e-145
0.0ms
-1.0201670301433093e-6
-5.760017911337882e-12
0.0ms
-3.053917374209041e+300
-5.317768987989324e+292
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
9.458854782399103e+304
+inf
0.0ms
-1.0925525619714817e-185
-3.3011438325775146e-196
0.0ms
-1.0201670301433093e-6
-5.760017911337882e-12
0.0ms
-3.053917374209041e+300
-5.317768987989324e+292
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-4.420914403204009e-222
1.8194592872059764e-226
0.0ms
-3.053917374209041e+300
-5.317768987989324e+292
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
-4.420914403204009e-222
1.8194592872059764e-226
0.0ms
-5.247728276387071e-64
-1.6592690187925048e-71
0.0ms
-3.053917374209041e+300
-5.317768987989324e+292
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
-4.420914403204009e-222
1.8194592872059764e-226
0.0ms
-2.353607064497301e-58
-6.120288572333513e-61
0.0ms
-3.053917374209041e+300
-5.317768987989324e+292
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
-4.420914403204009e-222
1.8194592872059764e-226
0.0ms
-2.353607064497301e-58
-6.120288572333513e-61
0.0ms
-8.651541592780563e+306
-1.545466025098247e+305
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
-4.420914403204009e-222
1.8194592872059764e-226
0.0ms
-2.353607064497301e-58
-6.120288572333513e-61
0.0ms
-8.651541592780563e+306
-1.545466025098247e+305
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch32.0ms (0.3%)

Memory
-9.7MiB live, 30.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
30.0ms
1.6029573753264829e+38
2.707852897469291e+40
Samples
26.0ms112×0valid
Compiler

Compiled 142 to 100 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 17.0ms (73.1% of total)
ival-cos: 2.0ms (8.6% of total)
ival-div: 1.0ms (4.3% of total)
ival-add: 1.0ms (4.3% of total)
ival-sqrt: 1.0ms (4.3% of total)
ival-pow2: 1.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify53.0ms (0.5%)

Memory
2.0MiB live, 39.7MiB allocated
Algorithm
1×egg-herbie
Rules
62×*-commutative_binary64
12×+-commutative_binary64
8×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02092986
12492986
22582986
32642986
42672986
52682986
Stop Event
1×saturated
Calls
Call 1
Inputs
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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 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) J) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (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 -7410693711188237/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (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 5311379928167671/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* (/ (* U 1/2) (* (+ (* (cos K) 1/2) 1/2) J)) (/ U (* J 2))) 1))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1/4 binary64) #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 99999999999999993925355250553646218600402872201173249531907715713232045630132339028433092574405077484368561180561621725787171937426360305302357988408668827749873014416820110410677102531624409058437198025485515990766396825508218326595491122696079498053460349186625724064076043808459598620749043481381437440 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (/ (* (/ U (* 2 J)) U) (* (+ 1/2 (* 1/2 (cos (* 2 (* K -1/2))))) (* 2 J)))))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (cos.f64 K) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) J) J)) U) U #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U)))))))
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#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
Outputs
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(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 -4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 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 -2826955303645415/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.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 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -6511732844609233/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))))))
(if (<=.f64 (*.f64 (sqrt.f64 (+.f64 (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))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal -4999999999999999930155298801282288858501320919063181937624830367941782926336371924532423207114480333393189640196327307696676586425126051668137976185307698505365345832344687589284519925536573169820811633035563360005510084776652009298228906344280973600585744230586460911069533464925641061001338333875010535424 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (*.f64 (sqrt.f64 (+.f64 (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))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal -2826955303645415/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (* (* J -2) (cos (* K 1/2))) (*.f64 J #s(literal -2 binary64)))) (if (<=.f64 (*.f64 (sqrt.f64 (+.f64 (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))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal -6511732844609233/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 #s(approx (+ (* (* (pow (cos (* K 1/2)) 2) (/ (* J J) (* U U))) -2) -1) #s(literal -1 binary64)) (neg.f64 U))))))
(if (<=.f64 J #s(literal 179999999999999984614178123333712740352 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 (* (* J -2) (cos (* K 1/2))) (*.f64 #s(literal -2 binary64) J))))
(if (<=.f64 J #s(literal 179999999999999984614178123333712740352 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 (* (* J -2) (cos (* K 1/2))) (*.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))

soundness1.7s (15.8%)

Memory
44.7MiB live, 1 452.1MiB allocated
Rules
19 354×lower-fma.f64
19 354×lower-fma.f32
12 506×lower-fma.f64
12 506×lower-fma.f32
12 392×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03603717
111533609
245143477
084993319
084508
0126500
1411472
22461466
09434463
068114423
1223513863
0842813019
01766
02866
17966
243266
3436466
0812966
069464
0114468
1390428
22643420
09691420
057379
091379
1293352
22026332
08235326
070515255
1232614922
0861113978
Stop Event
1×fuel
1×iter limit
1×node 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×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 2 746 to 1 044 computations (62% saved)

preprocess146.0ms (1.4%)

Memory
-17.8MiB live, 193.0MiB allocated
Remove

(negabs J)

(abs K)

Compiler

Compiled 3 670 to 496 computations (86.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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