Maksimov and Kolovsky, Equation (3)

Time bar (total: 12.3s)

analyze293.0ms (2.4%)

Memory
7.7MiB live, 406.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
37.5%37.4%62.4%0.1%0%0%0%7
43.8%43.7%56.2%0.1%0%0%0%8
43.8%43.7%56.2%0.1%0%0%0%9
43.8%43.7%56.2%0.1%0%0%0%10
46.9%46.8%53%0.1%0%0%0%11
46.9%46.8%53%0.1%0%0%0%12
Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.6s (13.4%)

Memory
53.1MiB live, 2 487.3MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 975.0ms
ival-mult: 370.0ms (38% of total)
ival-cos: 232.0ms (23.8% of total)
ival-pow2: 128.0ms (13.1% of total)
ival-div: 125.0ms (12.8% of total)
ival-sqrt: 60.0ms (6.2% of total)
ival-add: 38.0ms (3.9% of total)
exact: 13.0ms (1.3% of total)
ival-true: 7.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess110.0ms (0.9%)

Memory
-23.3MiB live, 118.0MiB allocated
Algorithm
1×egg-herbie
Rules
1 014×neg-mul-1
984×distribute-lft-neg-in
852×lower-*.f32
842×lower-*.f64
842×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

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

(abs U)

(abs K)

(negabs J)

explain296.0ms (2.4%)

Memory
11.9MiB live, 513.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
330-0-(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))))
290-0-(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
00-0-(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
00-0-K
00-0-(/.f64 K #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
0127(7.387497342863692e+118 6.886966177750098e+107 1.4819602272814921e+125)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)))sensitivity1270
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-rescue330
↳(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))))overflow29
↳(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))overflow29
↳(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))overflow62
↳(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))overflow62
*.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*o290
Confusion
Predicted +Predicted -
+620
-94100
Precision
0.3974358974358974
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6200
-940100
Precision?
0.3974358974358974
Recall?
1.0
Freqs
test
numberfreq
0100
1123
233
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
77.0ms512×0valid
Compiler

Compiled 278 to 72 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 15.0ms (28.5% of total)
ival-pow2: 13.0ms (24.7% of total)
ival-cos: 11.0ms (20.9% of total)
ival-div: 7.0ms (13.3% of total)
ival-sqrt: 4.0ms (7.6% of total)
ival-add: 2.0ms (3.8% of total)
ival-true: 1.0ms (1.9% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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
▶76.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 17 computations (37% saved)

simplify58.0ms (0.5%)

Memory
-18.3MiB live, 74.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Rules
852×lower-*.f32
842×lower-*.f64
786×associate-*r/
758×lower-/.f32
754×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

localize55.0ms (0.4%)

Memory
2.1MiB live, 119.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.6%
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓accuracy89.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓accuracy87.9%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
Samples
34.0ms256×0valid
Compiler

Compiled 112 to 19 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 7.0ms (31.8% of total)
ival-cos: 5.0ms (22.7% of total)
ival-div: 3.0ms (13.6% of total)
ival-sqrt: 2.0ms (9.1% of total)
ival-pow2: 2.0ms (9.1% of total)
ival-add: 1.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory
-4.5MiB live, 73.6MiB allocated
Counts
6 → 156
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) J)>
#<alt (cos.f64 (/.f64 K #s(literal 2 binary64)))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))>
#<alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))>
Outputs
#<alt (* -1 U)>
#<alt (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))>
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))>
#<alt (+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))>
#<alt (* -1 U)>
#<alt (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))>
#<alt (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))>
#<alt (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))>
#<alt (* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))>
#<alt (* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))>
#<alt (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt (* -2 J)>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))>
#<alt (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))>
#<alt (* 1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)>
#<alt (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)>
#<alt (/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
Calls

39 calls:

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

rewrite302.0ms (2.5%)

Memory
38.9MiB live, 469.7MiB allocated
Algorithm
1×batch-egg-rewrite
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
(neg.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 6 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))))))
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(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))))))
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(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 J U))))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (neg.f64 U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 J))))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 U (*.f64 J #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 U #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 U J))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal -2 binary64)) (/.f64 (neg.f64 U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (neg.f64 U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 U (*.f64 #s(literal -2 binary64) J)))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) J)) (/.f64 (neg.f64 U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (neg.f64 U) J) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) J))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (neg.f64 U) J))
(*.f64 (/.f64 (neg.f64 U) #s(literal -1 binary64)) (*.f64 (/.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 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) U))
(*.f64 (/.f64 (neg.f64 U) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) J))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))) (neg.f64 U))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 U)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 U))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) J))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 U)))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))))))

simplify752.0ms (6.1%)

Memory
-39.2MiB live, 689.8MiB 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 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(-.f64 (*.f64 (*.f64 J J) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U))))))) U)
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(-.f64 (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 U (*.f64 U U))) (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64)))))) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U))) U)
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 U U)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(* -2 (* J (cos (* 1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(neg.f64 (*.f64 J (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(neg.f64 (*.f64 J (fma.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) #s(literal 1/512 binary64) (fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 (*.f64 K K) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 J (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 U U)) J)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J #s(literal 1/384 binary64))))) (*.f64 K K) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(fma.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 K K) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/16 binary64) (*.f64 J (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) J) (fma.f64 (*.f64 U (*.f64 U (/.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))) #s(literal -1/32 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -17/2880 binary64)))) (*.f64 (/.f64 (*.f64 U U) J) #s(literal 1/12288 binary64)))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J #s(literal -1/46080 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 J (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64) (/.f64 (*.f64 (*.f64 (*.f64 U U) (*.f64 U U)) #s(literal -1/1024 binary64)) (*.f64 (*.f64 (*.f64 J J) (*.f64 J J)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))))) (/.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 U U)) J)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 J #s(literal 1/384 binary64))))))) (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 K K) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 U U) J))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
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(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) (fma.f64 #s(literal 1/16 binary64) (*.f64 K K) #s(literal 1/4 binary64)) (*.f64 (*.f64 K K) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 K K)) (fma.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal -17/2880 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (*.f64 (*.f64 U U) #s(literal 1/4 binary64)) (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))

eval128.0ms (1%)

Memory
8.8MiB live, 124.3MiB allocated
Compiler

Compiled 16 365 to 1 763 computations (89.2% saved)

prune134.0ms (1.1%)

Memory
6.7MiB live, 130.0MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New46514479
Fresh000
Picked101
Done000
Total46614480
Accuracy
99.9%
Counts
480 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.4%
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
▶51.6%
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
44.3%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
13.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
▶54.9%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
75.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
▶75.0%
(*.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 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 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)))))))))))
62.6%
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
▶43.7%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
33.7%
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
11.8%
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
53.0%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
47.5%
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
▶38.2%
(neg.f64 U)
Compiler

Compiled 706 to 470 computations (33.4% saved)

simplify314.0ms (2.6%)

Memory
13.0MiB live, 277.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(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))))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓cost-diff384
(/.f64 K #s(literal 2 binary64))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) K)
✓cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓cost-diff0
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓cost-diff0
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
✓cost-diff0
(*.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 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓cost-diff384
(/.f64 K #s(literal 2 binary64))
✓cost-diff0
(neg.f64 U)
✓cost-diff384
(/.f64 K #s(literal 2 binary64))
✓cost-diff640
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
✓cost-diff704
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))
✓cost-diff832
(*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))
Rules
3 764×lower-fma.f32
3 760×lower-fma.f64
3 146×lower-*.f32
3 110×lower-*.f64
2 880×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047446
087442
1160408
2375392
3972382
42758382
53399382
63913382
75631382
85859382
95885382
106197382
116197382
127589382
137749382
147749382
08536374
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 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 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 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 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 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))
(*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64))))
U
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(*.f64 J #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
(neg.f64 U)
U
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -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 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
U
(*.f64 J J)
#s(literal 1 binary64)
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(literal -2 binary64)
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
#s(literal -1/4 binary64)
(*.f64 U U)
U
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(/.f64 K #s(literal 2 binary64))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))
(fma.f64 U (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 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 (*.f64 J #s(literal 2 binary64)) (fma.f64 J (cos.f64 K) J)))
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))
(*.f64 U (/.f64 U (*.f64 (*.f64 J J) #s(literal 4 binary64))))
(*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64))))
U
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(*.f64 J #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 K))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 K)
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
K
(*.f64 K #s(literal 1/2 binary64))
(neg.f64 U)
U
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J J) #s(literal 4 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(/.f64 K #s(literal 2 binary64))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (*.f64 J J) #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
(fma.f64 U (/.f64 U (*.f64 (*.f64 J J) #s(literal 4 binary64))) #s(literal 1 binary64))
#s(literal 1/4 binary64)
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U (/.f64 U (*.f64 J J)))
(*.f64 U U)
U
(*.f64 J J)
#s(literal 1 binary64)
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
#s(literal -2 binary64)
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(*.f64 U (*.f64 U #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)
(*.f64 U U)
U
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(/.f64 K #s(literal 2 binary64))
(*.f64 K #s(literal 1/2 binary64))
K

localize210.0ms (1.7%)

Memory
19.8MiB live, 440.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.6%
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓accuracy89.2%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓accuracy87.9%
(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))))
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
✓accuracy99.8%
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓accuracy86.3%
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy89.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓accuracy87.9%
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
✓accuracy72.8%
(/.f64 (*.f64 U U) (*.f64 J J))
✓accuracy100.0%
(neg.f64 U)
✓accuracy99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
✓accuracy95.4%
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))
✓accuracy89.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 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)))))))))))
✓accuracy87.9%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))
Samples
134.0ms256×0valid
Compiler

Compiled 452 to 51 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 43.0ms (46.5% of total)
ival-cos: 18.0ms (19.5% of total)
ival-div: 15.0ms (16.2% of total)
ival-add: 7.0ms (7.6% of total)
ival-sqrt: 5.0ms (5.4% of total)
ival-pow2: 2.0ms (2.2% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series77.0ms (0.6%)

Memory
9.9MiB live, 166.9MiB allocated
Counts
23 → 564
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))>
#<alt (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))>
#<alt (/.f64 K #s(literal 2 binary64))>
#<alt (neg.f64 U)>
#<alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) J)>
#<alt (fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))>
#<alt (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) K))>
#<alt (*.f64 #s(literal 1/2 binary64) K)>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))>
#<alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))>
#<alt (/.f64 (*.f64 U U) (*.f64 J J))>
#<alt (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))>
#<alt (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -1/4 binary64) (*.f64 U U))>
#<alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))>
Outputs
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt K>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 U)>
#<alt (* -1 (* U (cos (* 1/2 K))))>
#<alt (+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))>
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))>
#<alt (+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))>
#<alt (* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -1/192 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/23040 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
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#<alt (* 1/2 (/ U J))>
#<alt (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1/2 (/ U J))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))>
#<alt (* 1/2 (/ U J))>
#<alt (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) J))>
#<alt (+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))>
#<alt (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))>
#<alt (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* -1/4 (pow U 2))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 J)>
#<alt (+ (* -1/4 (* J (pow K 2))) (* 2 J))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))>
#<alt (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
#<alt (* 2 (* J (cos (* 1/2 K))))>
Calls

141 calls:

TimeVariablePointExpression
7.0ms
U
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1)))
3.0ms
J
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ (* U (/ U (* J 2))) (* J 2)) (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2))))))))))
3.0ms
U
@0
(/ (* U (/ U (* J 2))) (* J 2))
2.0ms
U
@0
(sqrt (+ (* 1/4 (/ (* U U) (* J J))) 1))
2.0ms
U
@0
(* (/ (* U (/ U (* J 2))) (* J 2)) (/ 1 (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))))

rewrite367.0ms (3%)

Memory
4.6MiB live, 693.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 676×lower-/.f32
4 662×lower-/.f64
4 518×lower-fma.f32
4 514×lower-fma.f64
3 860×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047271
087265
1294221
22100219
08369219
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 1 047
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 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 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))
(/.f64 K #s(literal 2 binary64))
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (*.f64 U U) (*.f64 J J))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -1/4 binary64) (*.f64 U U))
(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))))
Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U (*.f64 J #s(literal -2 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U))) (/.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J #s(literal -2 binary64)))) (/.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)) (*.f64 J #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))) (/.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)) (neg.f64 (*.f64 (*.f64 J #s(literal 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 0 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))) (/.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))) (/.f64 (*.f64 U U) (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.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 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 U U) (*.f64 (*.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 #s(literal 1/2 binary64) K))))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)) (*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
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(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(*.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))))
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(*.f64 (*.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) J))
(*.f64 (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))) (/.f64 U (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (/.f64 (neg.f64 U) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (neg.f64 U) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U) (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) U) (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) (/.f64 U J)) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1 binary64)) (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (neg.f64 U)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) (/.f64 (*.f64 U U) (*.f64 J #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(*.f64 (*.f64 U (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (neg.f64 U) (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal -2 binary64))))
(*.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))) J) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) J))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) K)))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)))))
(*.f64 (pow.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 U J) #s(literal 1 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) J) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) J) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) U) #s(literal 1 binary64)) (pow.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64))) (/.f64 U J)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) K)))))))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)))) #s(literal 1 binary64)))
(*.f64 J (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) J)

simplify518.0ms (4.2%)

Memory
-38.5MiB live, 1 005.7MiB allocated
Algorithm
1×egg-herbie
Rules
10 548×lower-fma.f64
10 548×lower-fma.f32
7 378×lower-*.f64
7 378×lower-*.f32
5 620×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085311293
1280411015
2765510887
0853510371
Stop Event
1×iter limit
1×node limit
Counts
564 → 551
Calls
Call 1
Inputs
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
K
K
K
K
K
K
K
K
K
K
K
K
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 U)
(* -1 (* U (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (cos (* 1/2 K))) U)) (* -1 (* U (cos (* 1/2 K)))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* 2 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 3))))))
(+ (* -1 (* U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (cos (* 1/2 K)) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 5))) (* 2 (/ (cos (* 1/2 K)) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2)))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (+ (* -1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (* 1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4)))))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* 1/2 K))) (pow J 4))) (+ (* 1/512 (/ (* (pow U 6) (cos (* 1/2 K))) (pow J 6))) (+ (* 1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (pow J 2))) (* 2 (cos (* 1/2 K))))))))
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(+ (* -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))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* -1/4 (pow U 2))
(* 1/4 (/ (pow U 2) (* (pow 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))))
(* 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)
(+ (* -1/4 (* J (pow K 2))) (* 2 J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(* 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))))
Outputs
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 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))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 U U) (*.f64 K K)) (*.f64 J J))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 (*.f64 K K) (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J)))))
(+ (* 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 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (*.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J)) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 13/2880 binary64))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/24 binary64)) (*.f64 J J)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J)))))
(* 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 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
K
K
K
K
K
K
K
K
K
K
K
K
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 U)
(neg.f64 U)
(* -1 (* U (cos (* 1/2 K))))
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
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(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ (* -1/4 (* J (pow K 2))) (* 2 J))
(fma.f64 #s(literal 2 binary64) J (*.f64 #s(literal -1/4 binary64) (*.f64 J (*.f64 K K))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/192 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 J #s(literal 1/192 binary64) (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/23040 binary64))) (*.f64 J #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) J))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))

eval327.0ms (2.7%)

Memory
13.4MiB live, 487.9MiB allocated
Compiler

Compiled 55 738 to 4 761 computations (91.5% saved)

prune233.0ms (1.9%)

Memory
8.6MiB live, 538.8MiB allocated
Pruning

34 alts after pruning (32 fresh and 2 done)

PrunedKeptTotal
New1 778281 806
Fresh549
Picked325
Done000
Total1 786341 820
Accuracy
100.0%
Counts
1 820 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.4%
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
25.6%
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) J (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) J)) (fma.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) J) (*.f64 J #s(literal -2 binary64))))
50.8%
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
✓51.6%
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
33.2%
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 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)
13.8%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
23.0%
(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
33.2%
(/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
13.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))))
23.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U))))
51.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
▶30.3%
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
44.3%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
13.7%
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
57.9%
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
47.3%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
26.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
▶13.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
67.4%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
75.0%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))))))
▶75.0%
(*.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 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))
51.1%
(*.f64 (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
23.0%
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
23.6%
(*.f64 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
33.7%
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
53.0%
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
26.4%
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
▶46.2%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
11.8%
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
33.1%
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
1.6%
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
47.5%
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))))
▶29.2%
(*.f64 J #s(literal -2 binary64))
✓38.2%
(neg.f64 U)
Compiler

Compiled 1 352 to 915 computations (32.3% saved)

simplify263.0ms (2.1%)

Memory
0.0MiB live, 270.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 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-diff1280
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
✓cost-diff0
(*.f64 #s(literal -2 binary64) J)
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))
✓cost-diff5824
(pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))
✓cost-diff0
(*.f64 K K)
✓cost-diff0
(*.f64 J (*.f64 K K))
✓cost-diff0
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓cost-diff320
(fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
✓cost-diff0
(*.f64 J #s(literal -2 binary64))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
✓cost-diff192
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
✓cost-diff704
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))
✓cost-diff704
(*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
Rules
7 060×lower-*.f32
7 024×lower-*.f64
4 206×lower-/.f32
4 194×lower-/.f64
3 926×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046372
086378
1156346
2398342
31322332
43243330
53561330
63689330
73698330
83698330
93903330
104049330
114512330
124536330
134536330
144536330
154536330
08513325
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 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))
(*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64))))
U
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(*.f64 J #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 K)
(*.f64 J #s(literal -2 binary64))
J
#s(literal -2 binary64)
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
#s(literal 1/4 binary64)
(*.f64 J (*.f64 K K))
J
(*.f64 K K)
K
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
U
(*.f64 J J)
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
U
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 U #s(literal -1/2 binary64))
U
#s(literal -1/2 binary64)
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
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 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))
(*.f64 J (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(/.f64 (*.f64 U U) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 K)) (*.f64 J (*.f64 J #s(literal 2 binary64)))))
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))
(/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64))))
U
(/.f64 U (*.f64 J #s(literal 2 binary64)))
(*.f64 J #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 K)
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
J
#s(literal -2 binary64)
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
(*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
#s(literal 1/4 binary64)
(*.f64 J (*.f64 K K))
J
(*.f64 K K)
K
(*.f64 J #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(*.f64 U U)
U
(*.f64 J J)
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))
(fma.f64 (*.f64 U U) (/.f64 #s(literal 1/4 binary64) (*.f64 J J)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))
(/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))
(/.f64 U (*.f64 #s(literal 2 binary64) J))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
U
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #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)
(/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 U #s(literal -1/2 binary64))
U
#s(literal -1/2 binary64)
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

localize196.0ms (1.6%)

Memory
14.1MiB live, 292.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓accuracy99.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.8%
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓accuracy81.3%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) J)
✓accuracy99.6%
(pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))
✓accuracy89.3%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
✓accuracy87.9%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))
✓accuracy93.7%
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
✓accuracy88.1%
(*.f64 J (*.f64 K K))
✓accuracy87.9%
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
✓accuracy72.8%
(/.f64 (*.f64 U U) (*.f64 J J))
✓accuracy100.0%
(*.f64 J #s(literal -2 binary64))
✓accuracy99.4%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
✓accuracy95.4%
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))
✓accuracy89.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))
✓accuracy87.9%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
Samples
112.0ms256×0valid
Compiler

Compiled 385 to 51 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 30.0ms (41.8% of total)
ival-cos: 15.0ms (20.9% of total)
ival-div: 13.0ms (18.1% of total)
ival-add: 6.0ms (8.4% of total)
ival-sqrt: 5.0ms (7% of total)
ival-pow2: 2.0ms (2.8% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory
-6.9MiB live, 70.3MiB allocated
Counts
24 → 588
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))>
#<alt (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))>
#<alt (*.f64 J #s(literal -2 binary64))>
#<alt (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))>
#<alt (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))>
#<alt (*.f64 J (*.f64 K K))>
#<alt (*.f64 K K)>
#<alt (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -2 binary64) J)>
#<alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))>
#<alt (cos.f64 (/.f64 K #s(literal 2 binary64)))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))>
#<alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))>
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))>
#<alt (/.f64 (*.f64 U U) (*.f64 J J))>
#<alt (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))>
#<alt (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))>
#<alt (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
Outputs
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))>
#<alt (+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt (* 1/4 (/ (pow U 2) (pow J 2)))>
#<alt 1>
#<alt (+ 1 (* 1/4 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (+ 1/4 (* 1/24 (pow K 2)))))>
#<alt (+ 1 (* (pow K 2) (+ 1/4 (* (pow K 2) (+ 1/24 (* 17/2880 (pow K 2)))))))>
#<alt (/ 1 (+ 1/2 (* 1/2 (cos K))))>
#<alt (/ 1 (+ 1/2 (* 1/2 (cos K))))>
#<alt (/ 1 (+ 1/2 (* 1/2 (cos K))))>
#<alt (/ 1 (+ 1/2 (* 1/2 (cos K))))>
#<alt (/ 1 (+ 1/2 (* 1/2 (cos K))))>
#<alt (/ 1 (+ 1/2 (* 1/2 (cos K))))>
#<alt (/ 1 (+ 1/2 (* 1/2 (cos K))))>
#<alt (/ 1 (+ 1/2 (* 1/2 (cos K))))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 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)))))))>
#<alt (+ 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)))))))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
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#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1/2 (/ U J))>
#<alt (+ (* -1/2 (/ U J)) (* -1/16 (/ (* (pow K 2) U) J)))>
#<alt (+ (* -1/2 (/ U J)) (* (pow K 2) (+ (* -1/16 (/ U J)) (* 1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))))))>
#<alt (+ (* -1/2 (/ U J)) (* (pow K 2) (+ (* -1/16 (/ U J)) (* (pow K 2) (+ (* 1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* 1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
#<alt (* -1/2 (/ U (* J (cos (* 1/2 K)))))>
Calls

147 calls:

TimeVariablePointExpression
3.0ms
J
@inf
(+ (* 1/4 (* J (* K K))) (* J -2))
2.0ms
K
@-inf
(/ (* U -1/2) (* J (cos (* 1/2 K))))
1.0ms
U
@inf
(/ (* U -1/2) (* J (cos (* 1/2 K))))
1.0ms
J
@0
(+ (* 1/4 (* J (* K K))) (* J -2))
1.0ms
K
@inf
(/ (* U -1/2) (* J (cos (* 1/2 K))))

rewrite349.0ms (2.8%)

Memory
17.3MiB live, 506.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 726×lower-*.f32
4 690×lower-*.f64
3 898×lower-/.f32
3 886×lower-/.f64
3 320×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046267
086264
1286232
21932230
08210230
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 727
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(*.f64 J #s(literal -2 binary64))
(fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64)))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 J (*.f64 K K))
(*.f64 K K)
(pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(/.f64 (*.f64 U U) (*.f64 J J))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64))))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
Outputs
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 U (*.f64 J #s(literal 2 binary64)))))))
(/.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 J #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal -2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal -2 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal -2 binary64))) (neg.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 J #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 J #s(literal -2 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J #s(literal -2 binary64)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U U) (*.f64 J #s(literal -2 binary64)))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 2 binary64))))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J))) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 (*.f64 U U) (*.f64 J #s(literal -2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) (*.f64 J #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (*.f64 J #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) J) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) J)
(pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 U (*.f64 (/.f64 U (*.f64 (*.f64 J J) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(*.f64 U (/.f64 (/.f64 U (*.f64 (*.f64 J J) #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 U J) (*.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal 1 binary64)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) J))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) U) (/.f64 U (*.f64 (*.f64 J J) #s(literal 4 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) (/.f64 U J)) (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 K) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) U) (/.f64 U (*.f64 J J))) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (*.f64 U U) (*.f64 J #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64))))
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(/.f64 (*.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (*.f64 U (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -1/2 binary64) (/.f64 U J))) #s(literal -1 binary64))
(*.f64 U (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 U (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 U #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (/.f64 U J) (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 U J))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 U #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 U #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 U #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 J))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 U J)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(*.f64 (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/2 binary64) J))
(*.f64 (/.f64 #s(literal -1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (/.f64 #s(literal 1 binary64) J) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/2 binary64) (/.f64 U J)))
(*.f64 (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) #s(literal -1 binary64)) (pow.f64 (/.f64 J #s(literal -1/2 binary64)) #s(literal -1 binary64)))

simplify504.0ms (4.1%)

Memory
-8.7MiB live, 845.5MiB allocated
Algorithm
1×egg-herbie
Rules
13 032×lower-fma.f64
13 032×lower-fma.f32
9 400×lower-*.f64
9 400×lower-*.f32
4 724×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07499782
125039374
083358735
Stop Event
1×iter limit
1×node limit
Counts
588 → 550
Calls
Call 1
Inputs
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
1
(+ 1 (* 1/4 (pow K 2)))
(+ 1 (* (pow K 2) (+ 1/4 (* 1/24 (pow K 2)))))
(+ 1 (* (pow K 2) (+ 1/4 (* (pow K 2) (+ 1/24 (* 17/2880 (pow K 2)))))))
(/ 1 (+ 1/2 (* 1/2 (cos K))))
(/ 1 (+ 1/2 (* 1/2 (cos K))))
(/ 1 (+ 1/2 (* 1/2 (cos K))))
(/ 1 (+ 1/2 (* 1/2 (cos K))))
(/ 1 (+ 1/2 (* 1/2 (cos K))))
(/ 1 (+ 1/2 (* 1/2 (cos K))))
(/ 1 (+ 1/2 (* 1/2 (cos K))))
(/ 1 (+ 1/2 (* 1/2 (cos K))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* (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))))
(* 1/4 (/ (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 (* 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)))))))
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(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
(* -2 J)
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(* J (- (* 1/4 (pow K 2)) 2))
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(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (* 1/4 (pow K 2)) 2))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
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(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
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(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* 1/4 (* J (pow K 2)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* (pow K 2) (+ (* -2 (/ J (pow K 2))) (* 1/4 J)))
(* 1/2 (* U (- (* 1/4 (pow K 2)) 2)))
(+ (* 1/2 (* U (- (* 1/4 (pow K 2)) 2))) (* (pow J 2) (- (* 1/4 (/ (pow K 2) U)) (* 2 (/ 1 U)))))
(+ (* 1/2 (* U (- (* 1/4 (pow K 2)) 2))) (* (pow J 2) (- (+ (* -1 (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 2)) (pow U 3))) (* 1/4 (/ (pow K 2) U))) (* 2 (/ 1 U)))))
(+ (* 1/2 (* U (- (* 1/4 (pow K 2)) 2))) (* (pow J 2) (- (+ (* 1/4 (/ (pow K 2) U)) (* (pow J 2) (+ (* -1 (/ (- (* 1/4 (pow K 2)) 2) (pow U 3))) (* 2 (/ (* (pow J 2) (- (* 1/4 (pow K 2)) 2)) (pow U 5)))))) (* 2 (/ 1 U)))))
(* J (- (* 1/4 (pow K 2)) 2))
(* J (- (+ (* 1/8 (/ (* (pow U 2) (- (* 1/4 (pow K 2)) 2)) (pow J 2))) (* 1/4 (pow K 2))) 2))
(* J (- (+ (* -1/128 (/ (* (pow U 4) (- (* 1/4 (pow K 2)) 2)) (pow J 4))) (+ (* 1/8 (/ (* (pow U 2) (- (* 1/4 (pow K 2)) 2)) (pow J 2))) (* 1/4 (pow K 2)))) 2))
(* J (- (+ (* -1/128 (/ (* (pow U 4) (- (* 1/4 (pow K 2)) 2)) (pow J 4))) (+ (* 1/1024 (/ (* (pow U 6) (- (* 1/4 (pow K 2)) 2)) (pow J 6))) (+ (* 1/8 (/ (* (pow U 2) (- (* 1/4 (pow K 2)) 2)) (pow J 2))) (* 1/4 (pow K 2))))) 2))
(* -1 (* J (+ 2 (* -1/4 (pow K 2)))))
(* -1 (* J (+ 2 (+ (* -1/4 (pow K 2)) (* 1/8 (/ (* (pow U 2) (+ 2 (* -1/4 (pow K 2)))) (pow J 2)))))))
(* -1 (* J (+ 2 (+ (* -1/4 (pow K 2)) (+ (* -1/128 (/ (* (pow U 4) (+ 2 (* -1/4 (pow K 2)))) (pow J 4))) (* 1/8 (/ (* (pow U 2) (+ 2 (* -1/4 (pow K 2)))) (pow J 2))))))))
(* -1 (* J (+ 2 (+ (* -1/4 (pow K 2)) (+ (* -1/128 (/ (* (pow U 4) (+ 2 (* -1/4 (pow K 2)))) (pow J 4))) (+ (* 1/1024 (/ (* (pow U 6) (+ 2 (* -1/4 (pow K 2)))) (pow J 6))) (* 1/8 (/ (* (pow U 2) (+ 2 (* -1/4 (pow K 2)))) (pow J 2)))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(* 1/4 (* (* J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(* (pow K 2) (+ (* -2 (* (/ J (pow K 2)) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/4 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (+ (* 1/8 (/ (* (pow U 2) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow J 2))) (* 1/4 (* J (pow K 2)))))
(+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (+ (* -1/128 (/ (* (pow U 2) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow J 4))) (* 1/8 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) (pow J 2)))))))
(+ (* -2 J) (+ (* 1/4 (* J (pow K 2))) (* (pow U 2) (+ (* 1/8 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) (pow J 2))) (* (pow U 2) (+ (* -1/128 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) (pow J 4))) (* 1/1024 (/ (* (pow U 2) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow J 6)))))))))
(* 1/2 (/ (* U (+ (* -2 J) (* 1/4 (* J (pow K 2))))) J))
(* U (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 4))) (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 4))) (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (+ (* 2 (/ (* (pow J 5) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 6))) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2))))))
(* -1/2 (/ (* U (+ (* -2 J) (* 1/4 (* J (pow K 2))))) J))
(* -1 (* U (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 4))) (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 4))) (+ (* 1/2 (/ (+ (* -2 J) (* 1/4 (* J (pow K 2)))) J)) (+ (* 2 (/ (* (pow J 5) (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 6))) (/ (* J (+ (* -2 J) (* 1/4 (* J (pow K 2))))) (pow U 2)))))))
(* J (pow K 2))
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(* J (pow K 2))
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(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
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(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(* J (pow K 2))
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
(* 1/4 (/ (pow U 2) (pow J 2)))
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(* -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
(+ 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)))
(/ (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) (pow J 2))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(* 1/2 (/ U J))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(* 1/2 (/ U J))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(* 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
(+ 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)))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U J))
(+ (* -1/2 (/ U J)) (* -1/16 (/ (* (pow K 2) U) J)))
(+ (* -1/2 (/ U J)) (* (pow K 2) (+ (* -1/16 (/ U J)) (* 1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))))))
(+ (* -1/2 (/ U J)) (* (pow K 2) (+ (* -1/16 (/ U J)) (* (pow K 2) (+ (* 1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* 1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
Outputs
(* 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 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 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))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 K K)) (*.f64 J J)))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (*.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))
(+ (* 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 K (*.f64 K (fma.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 K K) (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 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/96 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 U U)) (*.f64 J J)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J)))
(* 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 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
(* 1/4 (/ (pow U 2) (pow J 2)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 U U)) (*.f64 J J))
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(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 6 binary64))) (/.f64 #s(literal -1/128 binary64) (pow.f64 J #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(*.f64 U (-.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(*.f64 U (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64)))))
(* -1/2 (/ U J))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) J)
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(neg.f64 (*.f64 U (-.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(neg.f64 (*.f64 U (-.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 J (*.f64 U U))) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))))))
(* 1/2 (/ U J))
(*.f64 #s(literal 1/2 binary64) (/.f64 U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/.f64 (fma.f64 U #s(literal 1/2 binary64) (/.f64 (*.f64 J J) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/.f64 (fma.f64 (*.f64 J J) (-.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (*.f64 J J) (*.f64 U (*.f64 U U)))) (*.f64 U #s(literal 1/2 binary64))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
(/.f64 (fma.f64 U #s(literal 1/2 binary64) (*.f64 (*.f64 J J) (fma.f64 (*.f64 J J) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J J) (pow.f64 U #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 U (*.f64 U U)))) (/.f64 #s(literal 1 binary64) U)))) J)
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/8 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/8 binary64) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/8 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1/8 binary64) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 U #s(literal 4 binary64))) (pow.f64 J #s(literal 4 binary64))))))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
J
(+ J (* -1/8 (* J (pow K 2))))
(fma.f64 J (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(fma.f64 K (*.f64 K (fma.f64 J #s(literal -1/8 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal 1/384 binary64))))) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 J #s(literal 1/384 binary64) (*.f64 J (*.f64 (*.f64 K K) #s(literal -1/46080 binary64)))) (*.f64 J #s(literal -1/8 binary64))) J)
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U J))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) J)
(+ (* -1/2 (/ U J)) (* -1/16 (/ (* (pow K 2) U) J)))
(fma.f64 (*.f64 K K) (/.f64 (*.f64 #s(literal -1/16 binary64) U) J) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(+ (* -1/2 (/ U J)) (* (pow K 2) (+ (* -1/16 (/ U J)) (* 1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))))))
(fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (*.f64 (/.f64 U J) #s(literal -5/768 binary64))) (/.f64 (*.f64 #s(literal -1/16 binary64) U) J)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(+ (* -1/2 (/ U J)) (* (pow K 2) (+ (* -1/16 (/ U J)) (* (pow K 2) (+ (* 1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* 1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (/.f64 U J) #s(literal 7/23040 binary64) (*.f64 (/.f64 U J) #s(literal -5/3072 binary64))) (*.f64 (/.f64 U J) #s(literal -5/384 binary64))) (*.f64 K K)) (/.f64 (*.f64 #s(literal -1/16 binary64) U) J)) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))

eval187.0ms (1.5%)

Memory
11.3MiB live, 390.9MiB allocated
Compiler

Compiled 38 648 to 3 531 computations (90.9% saved)

prune160.0ms (1.3%)

Memory
5.4MiB live, 303.9MiB allocated
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New1 367121 379
Fresh161127
Picked415
Done022
Total1 387261 413
Accuracy
100.0%
Counts
1 413 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.4%
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
50.8%
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
✓51.6%
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
33.2%
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 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)
23.0%
(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
21.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))) J)
51.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
36.4%
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
44.3%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
75.0%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))
57.9%
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
47.3%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
▶76.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
23.6%
(*.f64 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
53.0%
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
13.4%
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
11.6%
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
46.2%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
▶38.9%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))))
11.8%
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
▶32.4%
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
28.5%
(*.f64 U (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
▶26.9%
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
▶47.5%
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))))
✓29.2%
(*.f64 J #s(literal -2 binary64))
✓38.2%
(neg.f64 U)
Compiler

Compiled 1 004 to 666 computations (33.7% saved)

simplify490.0ms (4%)

Memory
9.3MiB live, 676.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 U U)
✓cost-diff0
(/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓cost-diff0
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
✓cost-diff320
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))))
✓cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))
✓cost-diff320
(*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64))))
✓cost-diff0
(*.f64 J J)
✓cost-diff0
(/.f64 (*.f64 J J) (*.f64 U U))
✓cost-diff0
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))
✓cost-diff512
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
✓cost-diff0
(*.f64 K K)
✓cost-diff0
(fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))
✓cost-diff0
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K 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 (fma.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓cost-diff320
(*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))
✓cost-diff384
(fma.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓cost-diff704
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
Rules
20 626×lower-fma.f32
20 616×lower-fma.f64
5 480×lower-*.f32
5 448×lower-*.f64
4 060×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045371
085371
1176349
2432341
31239334
43076333
53654333
65793333
77814333
08794325
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 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 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 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 U J)
U
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))
(*.f64 J #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 K)
#s(literal 1 binary64)
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
J
(fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))
#s(literal 1/4 binary64)
(*.f64 K K)
K
#s(literal -2 binary64)
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
U
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))
#s(literal -2 binary64)
(/.f64 (*.f64 J J) (*.f64 U U))
(*.f64 J J)
J
(*.f64 U U)
#s(literal -1 binary64)
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))
(/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U))
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 U U)
U
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))))
J
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
#s(literal -1/4 binary64)
(/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 U U)
U
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 J J)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) 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 (fma.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 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 U (/.f64 U (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(sqrt.f64 (fma.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 U (/.f64 U (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 U (/.f64 U (*.f64 J (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))) #s(literal 1 binary64))
(/.f64 U J)
U
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(/.f64 U (*.f64 #s(literal 2 binary64) (fma.f64 J (cos.f64 K) J)))
(/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64))))
(/.f64 U (*.f64 J #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))
(*.f64 J #s(literal 4 binary64))
(*.f64 J #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 K)
#s(literal 1 binary64)
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 J (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64)))
J
(fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))
(fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal -2 binary64))
#s(literal 1/4 binary64)
(*.f64 K K)
K
#s(literal -2 binary64)
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 J J)) U) U)
U
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 J (/.f64 J (*.f64 U U))) #s(literal -1 binary64))
#s(literal -2 binary64)
(/.f64 (*.f64 J J) (*.f64 U U))
(*.f64 J (/.f64 J (*.f64 U U)))
(*.f64 J J)
J
(*.f64 U U)
#s(literal -1 binary64)
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64))))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 U (/.f64 U (*.f64 J J))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64))))
(*.f64 U (/.f64 U (*.f64 J (*.f64 J #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))
(*.f64 (*.f64 J (/.f64 J (*.f64 U U))) #s(literal 4 binary64))
(/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U))
(*.f64 #s(literal 2 binary64) (/.f64 J (*.f64 U U)))
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 U U)
U
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))))
(fma.f64 U (/.f64 (*.f64 U #s(literal -1/4 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
J
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
#s(literal -1/4 binary64)
(/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 U U)
U
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 J J)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(literal -2 binary64)

localize187.0ms (1.5%)

Memory
-7.3MiB live, 229.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
✓accuracy99.9%
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓accuracy94.3%
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))))
✓accuracy72.7%
(/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
✓accuracy94.6%
(*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))
✓accuracy89.3%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))))
✓accuracy87.9%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64))))))
✓accuracy86.8%
(/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U))
✓accuracy100.0%
(*.f64 U U)
✓accuracy100.0%
(*.f64 J J)
✓accuracy92.2%
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
✓accuracy72.6%
(/.f64 (*.f64 J J) (*.f64 U U))
✓accuracy100.0%
(fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))
✓accuracy100.0%
(*.f64 K K)
✓accuracy92.6%
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
✓accuracy99.8%
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
✓accuracy99.4%
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
✓accuracy89.2%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
✓accuracy87.9%
(sqrt.f64 (fma.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
Samples
118.0ms256×0valid
Compiler

Compiled 387 to 52 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 37.0ms (41.4% of total)
ival-div: 27.0ms (30.2% of total)
ival-cos: 15.0ms (16.8% of total)
ival-add: 6.0ms (6.7% of total)
ival-sqrt: 3.0ms (3.4% of total)
exact: 1.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series60.0ms (0.5%)

Memory
0.1MiB live, 111.6MiB allocated
Counts
24 → 588
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))>
#<alt (fma.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))>
#<alt (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))>
#<alt (*.f64 K K)>
#<alt (*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))>
#<alt (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))>
#<alt (/.f64 (*.f64 J J) (*.f64 U U))>
#<alt (*.f64 J J)>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64))))>
#<alt (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))))>
#<alt (*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))))>
#<alt (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))>
#<alt (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 U U)>
#<alt (sqrt.f64 (fma.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))>
#<alt (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))>
Outputs
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U J))>
#<alt (+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/4 (/ U J)))>
#<alt (+ (* 1/4 (/ U J)) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ U J)) (* 1/48 (/ U J))))) (* 1/16 (/ U J)))))>
#<alt (+ (* 1/4 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ U J)) (+ (* 1/192 (/ U J)) (* 1/4 (+ (* -1/16 (/ U J)) (* 1/48 (/ U J)))))))) (* -1/4 (+ (* -1/16 (/ U J)) (* 1/48 (/ U J)))))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))>
#<alt (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))>
#<alt (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))>
#<alt (/ (+ (* 1/4 (/ (pow U 2) (+ 1/2 (* 1/2 (cos K))))) (pow J 2)) (pow J 2))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt 1>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 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)))))))>
#<alt (+ 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)))))))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* 4 J)>
#<alt (* 4 J)>
#<alt (* 4 J)>
#<alt (* 4 J)>
#<alt (* 4 J)>
#<alt (* 4 J)>
#<alt (* 4 J)>
#<alt (* 4 J)>
#<alt (* 4 J)>
#<alt (* 4 J)>
#<alt (* 4 J)>
#<alt (* 4 J)>
#<alt (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ (* -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))))))))>
#<alt (+ (* -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)))))))))>
#<alt (+ (* -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)))))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
#<alt (+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))))>
#<alt (* -2 (* J (cos (* 1/2 K))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* 1/2 K))) (* J (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* 1/64 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))>
#<alt (+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* 1/2 K)) (* J (+ 1/2 (* 1/2 (cos K)))))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* 1/2 K))) (* (pow J 5) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/64 (/ (cos (* 1/2 K)) (* (pow J 3) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))))))>
#<alt (* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* 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)))))))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))>
#<alt (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))>
#<alt (* -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))))))))))>
#<alt (* -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))))))))>
#<alt (* -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)))))))))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* J (- (* 1/4 (pow K 2)) 2))>
#<alt (* -2 J)>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
#<alt (+ (* -2 J) (* 1/4 (* J (pow K 2))))>
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#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (pow J 2))>
#<alt (+ (* 1/8 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (/ (pow U 2) (pow J 2)))>
#<alt (+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2)))))) (* -1/8 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))>
#<alt (+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))) (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2)))))) (* -1/8 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt (pow U 2)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))>
#<alt (* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* U (+ (* 1/2 (* (/ 1 J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ J (pow U 2)) (sqrt (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* 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))))))))>
#<alt (* 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)))))))))>
#<alt (* -1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (* -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))))))))>
#<alt (* -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)))))))))>
#<alt (* -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))))))))))>
#<alt (* 1/2 (* (/ U J) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (/ (+ (* 1/2 (* U (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K))))))) (* (/ (pow J 2) U) (sqrt (+ 1/2 (* 1/2 (cos K)))))) J)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 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))))))))>
#<alt (+ 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)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))>
#<alt (+ 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))))))))>
#<alt (+ 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)))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))>
#<alt (+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (+ 1/2 (* 1/2 (cos K)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 2 (/ J (pow U 2)))>
#<alt (* 1/2 (/ U J))>
#<alt (/ (+ (* 1/2 U) (/ (pow J 2) U)) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)>
#<alt (/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))>
#<alt (+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))>
#<alt (+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))>
#<alt (* 1/2 (/ U J))>
#<alt (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1/2 (/ U J))>
#<alt (* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))>
#<alt (* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (pow J 2)>
#<alt (+ (* -1/8 (* (pow J 2) (pow K 2))) (pow J 2))>
#<alt (+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* 1/384 (* (pow J 2) (pow K 2))))) (pow J 2))>
#<alt (+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* (pow K 2) (+ (* -1/46080 (* (pow J 2) (pow K 2))) (* 1/384 (pow J 2)))))) (pow J 2))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
#<alt (* (pow J 2) (cos (* 1/2 K)))>
Calls

147 calls:

TimeVariablePointExpression
15.0ms
U
@inf
(/ (/ U (* 2 (* J 2))) (+ (* 1/2 (cos K)) 1/2))
4.0ms
K
@0
(* J (+ (* -1/4 (/ (* U U) (* (* J J) (cos (* 1/2 K))))) (* (cos (* 1/2 K)) -2)))
3.0ms
J
@0
(/ (/ U (* 2 (* J 2))) (+ (* 1/2 (cos K)) 1/2))
2.0ms
K
@inf
(* J (+ (* -1/4 (/ (* U U) (* (* J J) (cos (* 1/2 K))))) (* (cos (* 1/2 K)) -2)))
1.0ms
K
@-inf
(* J (+ (* -1/4 (/ (* U U) (* (* J J) (cos (* 1/2 K))))) (* (cos (* 1/2 K)) -2)))

rewrite338.0ms (2.7%)

Memory
-29.2MiB live, 561.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 222×lower-/.f32
5 206×lower-/.f64
3 642×lower-fma.f32
3 632×lower-fma.f64
3 506×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045284
085284
1312248
22181242
08432239
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 743
Calls
Call 1
Inputs
(/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))
(*.f64 K K)
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64))
(/.f64 (*.f64 J J) (*.f64 U U))
(*.f64 J J)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))))
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
(/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 U U)
(sqrt.f64 (fma.f64 (/.f64 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64))))))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (/.f64 (*.f64 J #s(literal 4 binary64)) U))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 (/.f64 U (*.f64 J #s(literal 4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 J #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) (/.f64 U (neg.f64 (*.f64 (*.f64 J #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (neg.f64 (*.f64 J #s(literal 4 binary64))))) (/.f64 U (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)) (neg.f64 (*.f64 J #s(literal 4 binary64))))))
(neg.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(/.f64 U (*.f64 (*.f64 J #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(/.f64 (/.f64 U (*.f64 J #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))
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(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 K) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 K) #s(literal 1/4 binary64))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) K)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (cos.f64 K) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 U U) (*.f64 #s(literal 2 binary64) J))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 U U))) (/.f64 (*.f64 #s(literal 2 binary64) J) (neg.f64 (*.f64 U U))))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) (neg.f64 (*.f64 U U))))
(neg.f64 (/.f64 (*.f64 J #s(literal -2 binary64)) (*.f64 U U)))
(/.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 U U))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 #s(literal 2 binary64) J)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 U U) (*.f64 #s(literal 2 binary64) J)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 (/.f64 J U) #s(literal 2 binary64))))
(/.f64 (*.f64 J #s(literal -2 binary64)) (neg.f64 (*.f64 U U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 U U) (*.f64 #s(literal 2 binary64) J))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 J (*.f64 U U))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) U)
(/.f64 (neg.f64 (*.f64 J #s(literal -2 binary64))) (neg.f64 (neg.f64 (*.f64 U U))))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U)) (neg.f64 U))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 J (*.f64 U U)))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64)) (*.f64 U U))
(/.f64 (*.f64 (/.f64 J U) #s(literal 2 binary64)) U)
(/.f64 (neg.f64 (neg.f64 (*.f64 J #s(literal -2 binary64)))) (neg.f64 (neg.f64 (neg.f64 (*.f64 U U)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U))) (neg.f64 (neg.f64 U)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) #s(literal 1 binary64))) (neg.f64 (*.f64 U U)))
(/.f64 (neg.f64 (*.f64 (/.f64 J U) #s(literal 2 binary64))) (neg.f64 U))
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 J (*.f64 U U))) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 U U) (*.f64 #s(literal 2 binary64) J)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 J (*.f64 U U)))
(*.f64 J (/.f64 #s(literal 2 binary64) (*.f64 U U)))
(*.f64 (*.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (*.f64 U U)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 J (*.f64 U U))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 U U))))
(*.f64 (/.f64 J U) (/.f64 #s(literal 2 binary64) U))
(*.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 J U))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (*.f64 #s(literal 2 binary64) J))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 U U)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) J)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) (/.f64 #s(literal 1 binary64) U))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 U U)) J)
(*.f64 (/.f64 #s(literal 1 binary64) U) (/.f64 (*.f64 #s(literal 2 binary64) J) U))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) J)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 U U)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 J #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 U U))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (-.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (-.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (-.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64)))))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (-.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (-.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 U U) (*.f64 (*.f64 U U) (*.f64 U U))) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))) (*.f64 (*.f64 J (*.f64 J J)) #s(literal 8 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (-.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64)))) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (*.f64 J (*.f64 J #s(literal 4 binary64))))) #s(literal 1/4 binary64)))
(*.f64 J (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J J))
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)

simplify619.0ms (5%)

Memory
17.7MiB live, 788.1MiB allocated
Algorithm
1×egg-herbie
Rules
12 230×lower-fma.f64
12 230×lower-fma.f32
9 074×lower-*.f64
9 074×lower-*.f32
4 060×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07039856
123309624
083169033
Stop Event
1×iter limit
1×node limit
Counts
588 → 587
Calls
Call 1
Inputs
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U J))
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/4 (/ U J)))
(+ (* 1/4 (/ U J)) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ U J)) (* 1/48 (/ U J))))) (* 1/16 (/ U J)))))
(+ (* 1/4 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ U J)) (+ (* 1/192 (/ U J)) (* 1/4 (+ (* -1/16 (/ U J)) (* 1/48 (/ U J)))))))) (* -1/4 (+ (* -1/16 (/ U J)) (* 1/48 (/ U J)))))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
1
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
(* (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))))
(* 1/4 (/ (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 (* 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)))))))
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(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
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(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (* J (cos (* 1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* 1/2 K)))))))
(* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2))
(+ (* J (* (pow K 2) (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2)))))) (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)))
(+ (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)) (* (pow K 2) (+ (* J (* (pow K 2) (- (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) 1/192))) (* J (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2))))))))
(+ (* J (- (* -1/4 (/ (pow U 2) (pow J 2))) 2)) (* (pow K 2) (+ (* J (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* J (* (pow K 2) (+ 1/23040 (* 1/4 (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))))) (* J (- (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) 1/192)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* -2 (cos (* 1/2 K)))
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(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
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(* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))
(* (pow U 2) (- (* -2 (/ (cos (* 1/2 K)) (pow U 2))) (* 1/4 (/ 1 (* (pow J 2) (cos (* 1/2 K)))))))
(* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) (pow J 2))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) (pow J 2))
(/ (+ (* -2 (* (pow J 2) (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* 1/2 K))))) (pow J 2))
(* -2 (cos (* 1/2 K)))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
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(* -2 (cos (* 1/2 K)))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(- (* -1/4 (/ (pow U 2) (pow J 2))) 2)
(- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ 1/4 (* -1/32 (/ (pow U 2) (pow J 2)))))) 2)
(- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* (pow K 2) (- (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) 1/192)))))) 2)
(- (+ (* -1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ 1/4 (+ (* -1/32 (/ (pow U 2) (pow J 2))) (* (pow K 2) (- (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ 1/23040 (* 1/4 (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))))) 1/192)))))) 2)
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (pow J 2))
(+ (* 1/8 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (/ (pow U 2) (pow J 2)))
(+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2)))))) (* -1/8 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))
(+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) (pow J 2))) (+ (* 1/3072 (/ (pow U 2) (pow J 2))) (* 1/8 (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2))))))))) (+ (* -1/64 (/ (pow U 2) (pow J 2))) (* 1/384 (/ (pow U 2) (pow J 2)))))) (* -1/8 (/ (pow U 2) (pow J 2))))) (/ (pow U 2) (pow J 2)))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
(pow U 2)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (+ 1/2 (* 1/2 (cos K))) 3)))) (* 1/128 (/ 1 (* (pow J 4) (pow (+ 1/2 (* 1/2 (cos K))) 2)))))) (* 1/8 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))))
(* 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))))))))))
(* 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)))))))))
(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
(+ 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 (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 2 (/ J (pow U 2)))
(* 1/2 (/ U J))
(/ (+ (* 1/2 U) (/ (pow J 2) U)) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* -1 (/ (pow J 2) (pow U 3))) (/ 1 U)))) J)
(/ (+ (* 1/2 U) (* (pow J 2) (+ (* (pow J 2) (- (* 2 (/ (pow J 2) (pow U 5))) (/ 1 (pow U 3)))) (/ 1 U)))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
1
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(* 1/2 (/ U J))
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1/2 (/ U J))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(pow J 2)
(+ (* -1/8 (* (pow J 2) (pow K 2))) (pow J 2))
(+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* 1/384 (* (pow J 2) (pow K 2))))) (pow J 2))
(+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* (pow K 2) (+ (* -1/46080 (* (pow J 2) (pow K 2))) (* 1/384 (pow J 2)))))) (pow J 2))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
(* (pow J 2) (cos (* 1/2 K)))
Outputs
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) U) (*.f64 J (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))
(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U J))
(/.f64 (*.f64 #s(literal 1/4 binary64) U) J)
(+ (* 1/16 (/ (* (pow K 2) U) J)) (* 1/4 (/ U J)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 U J) (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 K K)) U) J))
(+ (* 1/4 (/ U J)) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ U J)) (* 1/48 (/ U J))))) (* 1/16 (/ U J)))))
(fma.f64 (*.f64 K K) (fma.f64 (/.f64 U J) #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 (/.f64 U J) #s(literal 1/96 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) U) J))
(+ (* 1/4 (/ U J)) (* (pow K 2) (+ (* 1/16 (/ U J)) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ U J)) (+ (* 1/192 (/ U J)) (* 1/4 (+ (* -1/16 (/ U J)) (* 1/48 (/ U J)))))))) (* -1/4 (+ (* -1/16 (/ U J)) (* 1/48 (/ U J)))))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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(* 1/4 (/ U (* J (+ 1/2 (* 1/2 (cos K))))))
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1
#s(literal 1 binary64)
(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
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(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
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(+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))))
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(* 1/4 (/ (pow U 2) (* (pow J 2) (+ 1/2 (* 1/2 (cos K))))))
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(* (pow U 2) (+ (* 1/4 (/ 1 (* (pow J 2) (+ 1/2 (* 1/2 (cos K)))))) (/ 1 (pow U 2))))
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(* 4 J)
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(* 4 J)
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(* 4 J)
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(* 4 J)
(*.f64 J #s(literal 4 binary64))
(* 4 J)
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(* 4 J)
(*.f64 J #s(literal 4 binary64))
(* 4 J)
(*.f64 J #s(literal 4 binary64))
(* 4 J)
(*.f64 J #s(literal 4 binary64))
(* 4 J)
(*.f64 J #s(literal 4 binary64))
(* 4 J)
(*.f64 J #s(literal 4 binary64))
(* 4 J)
(*.f64 J #s(literal 4 binary64))
(* 4 J)
(*.f64 J #s(literal 4 binary64))
(* -1 (* (* U (cos (* 1/2 K))) (sqrt (/ 1 (+ 1/2 (* 1/2 (cos K)))))))
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#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (* 1/8 (/ (pow U 2) (pow J 2)))))
(fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (pow J 4))) (+ (* 1/1024 (/ (pow U 6) (pow J 6))) (* 1/8 (/ (pow U 2) (pow J 2))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 6 binary64))) (pow.f64 J #s(literal 6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (pow J 2))))
(fma.f64 U (*.f64 U (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (pow J 4))) (* 1/8 (/ 1 (pow J 2))))))
(fma.f64 (*.f64 U U) (fma.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (pow J 6))) (* 1/128 (/ 1 (pow J 4))))) (* 1/8 (/ 1 (pow J 2))))))
(fma.f64 (*.f64 U U) (fma.f64 (*.f64 U U) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 U U) (pow.f64 J #s(literal 6 binary64))) (/.f64 #s(literal -1/128 binary64) (pow.f64 J #s(literal 4 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 J J))) #s(literal 1 binary64))
(* 1/2 (/ U J))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) J)
(* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))
(*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(*.f64 U (-.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64)))))
(* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(*.f64 U (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (-.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))))))
(* -1/2 (/ U J))
(*.f64 (/.f64 U J) #s(literal -1/2 binary64))
(* -1 (* U (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))
(neg.f64 (*.f64 U (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2))))))
(*.f64 (neg.f64 U) (-.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64)))))
(* -1 (* U (+ (* -1 (/ (pow J 3) (pow U 4))) (+ (* 2 (/ (pow J 5) (pow U 6))) (+ (* 1/2 (/ 1 J)) (/ J (pow U 2)))))))
(*.f64 (neg.f64 U) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (-.f64 (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J)) (/.f64 (*.f64 J (*.f64 J J)) (pow.f64 U #s(literal 4 binary64))))))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(pow J 2)
(*.f64 J J)
(+ (* -1/8 (* (pow J 2) (pow K 2))) (pow J 2))
(fma.f64 (*.f64 K K) (*.f64 (*.f64 J J) #s(literal -1/8 binary64)) (*.f64 J J))
(+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* 1/384 (* (pow J 2) (pow K 2))))) (pow J 2))
(fma.f64 (*.f64 K K) (fma.f64 J (*.f64 J #s(literal -1/8 binary64)) (*.f64 #s(literal 1/384 binary64) (*.f64 J (*.f64 J (*.f64 K K))))) (*.f64 J J))
(+ (* (pow K 2) (+ (* -1/8 (pow J 2)) (* (pow K 2) (+ (* -1/46080 (* (pow J 2) (pow K 2))) (* 1/384 (pow J 2)))))) (pow J 2))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 J (*.f64 J #s(literal 1/384 binary64)) (*.f64 (*.f64 K K) (*.f64 (*.f64 J J) #s(literal -1/46080 binary64)))) (*.f64 (*.f64 J J) #s(literal -1/8 binary64))) (*.f64 J J))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow J 2) (cos (* 1/2 K)))
(*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))

eval302.0ms (2.5%)

Memory
-8.1MiB live, 298.0MiB allocated
Compiler

Compiled 36 709 to 3 836 computations (89.6% saved)

prune328.0ms (2.7%)

Memory
3.2MiB live, 334.5MiB allocated
Pruning

37 alts after pruning (31 fresh and 6 done)

PrunedKeptTotal
New1 370181 388
Fresh51318
Picked235
Done033
Total1 377371 414
Accuracy
100.0%
Counts
1 414 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.4%
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
26.9%
(fma.f64 (*.f64 K #s(literal 1/4 binary64)) (*.f64 K J) (*.f64 J #s(literal -2 binary64)))
36.4%
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
50.8%
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
✓51.6%
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
33.2%
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 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)
23.5%
(/.f64 (fma.f64 U (neg.f64 U) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U)
26.0%
(/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -4 binary64)) J) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal 2 binary64)))
25.7%
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal -8 binary64)) J) (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 4 binary64)) (*.f64 (*.f64 K K) #s(literal -1/2 binary64))))
45.7%
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64))) J) (fma.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 J J) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) #s(literal -2 binary64)))))
45.7%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 J J) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) #s(literal -2 binary64))) (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))))) J) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
23.0%
(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
4.1%
(/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U)
21.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))) J)
45.6%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 J J) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) #s(literal -2 binary64)))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64))) J)))
15.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) (*.f64 J #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J))) (*.f64 J (*.f64 J #s(literal 4 binary64))))))
44.3%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
57.9%
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
47.3%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
76.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 U J) #s(literal 1 binary64))))
72.6%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 U (*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 U (*.f64 (*.f64 J #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))))) #s(literal 1 binary64))))
23.6%
(*.f64 (*.f64 U U) (fma.f64 J (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
53.0%
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
13.4%
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
11.6%
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
46.2%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 J #s(literal 4 binary64))) (/.f64 U J) #s(literal 1 binary64))))
✓38.9%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))))
11.8%
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
38.6%
(*.f64 U (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)))
28.5%
(*.f64 U (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
✓26.9%
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
✓47.5%
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))))
45.7%
(*.f64 J (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 J J) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) #s(literal -2 binary64))) (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
47.5%
(*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
2.8%
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
✓29.2%
(*.f64 J #s(literal -2 binary64))
✓38.2%
(neg.f64 U)
Compiler

Compiled 2 416 to 853 computations (64.7% saved)

regimes222.0ms (1.8%)

Memory
-7.6MiB live, 188.3MiB allocated
Counts
73 → 3
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
(/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U)
(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
(fma.f64 (*.f64 K #s(literal 1/4 binary64)) (*.f64 K J) (*.f64 J #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(/.f64 (fma.f64 U (neg.f64 U) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U)
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U))))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))) J)
(*.f64 U (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -4 binary64)) J) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 J #s(literal 4 binary64))) (/.f64 U J) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))))
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) J (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) J)) (fma.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) J) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal -8 binary64)) J) (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 4 binary64)) (*.f64 (*.f64 K K) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) (*.f64 J #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J))) (*.f64 J (*.f64 J #s(literal 4 binary64))))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 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)
(*.f64 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 U U) (fma.f64 J (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 U J) #s(literal 1 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 U (*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 U (*.f64 (*.f64 J #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 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 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 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 U (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
(*.f64 (*.f64 (*.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 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 J (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 J J) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) #s(literal -2 binary64))) (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 J J) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) #s(literal -2 binary64))) (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) K))))))) J) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64))) J) (fma.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 J J) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 J J) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) #s(literal -2 binary64)))) (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64))) J)))
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
Calls

6 calls:

55.0ms
U
45.0ms
(*.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)))))
39.0ms
J
37.0ms
(/.f64 K #s(literal 2 binary64))
22.0ms
K
Results
AccuracySegmentsBranch
89.7%2J
76.9%1K
88.5%2U
99.8%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
76.9%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
76.9%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes21.0ms (0.2%)

Memory
27.9MiB live, 27.9MiB allocated
Counts
67 → 3
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
(/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U)
(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
(fma.f64 (*.f64 K #s(literal 1/4 binary64)) (*.f64 K J) (*.f64 J #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(/.f64 (fma.f64 U (neg.f64 U) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U)
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U))))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))) J)
(*.f64 U (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -4 binary64)) J) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 J #s(literal 4 binary64))) (/.f64 U J) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))))
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) J (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) J)) (fma.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) J) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal -8 binary64)) J) (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 4 binary64)) (*.f64 (*.f64 K K) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) (*.f64 J #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J))) (*.f64 J (*.f64 J #s(literal 4 binary64))))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 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)
(*.f64 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 U U) (fma.f64 J (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 U J) #s(literal 1 binary64))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 U (/.f64 U (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 J #s(literal 2 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 U (*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 U (*.f64 (*.f64 J #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 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 U J) (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) (*.f64 J #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 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 U (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)) (*.f64 (*.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) K)) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U (/.f64 U (*.f64 J #s(literal 2 binary64)))) (*.f64 (*.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))))))))
(*.f64 (*.f64 (*.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 U (*.f64 J #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) (/.f64 #s(literal 1 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)))))))))))
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 (*.f64 J #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) (/.f64 U J) #s(literal 1 binary64))))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
Calls

1 calls:

18.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
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)

regimes87.0ms (0.7%)

Memory
-20.1MiB live, 53.3MiB allocated
Counts
58 → 3
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
(/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U)
(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
(fma.f64 (*.f64 K #s(literal 1/4 binary64)) (*.f64 K J) (*.f64 J #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(/.f64 (fma.f64 U (neg.f64 U) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U)
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U))))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))) J)
(*.f64 U (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -4 binary64)) J) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 J #s(literal 4 binary64))) (/.f64 U J) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))))
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) J (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) J)) (fma.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) J) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal -8 binary64)) J) (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 4 binary64)) (*.f64 (*.f64 K K) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) (*.f64 J #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J))) (*.f64 J (*.f64 J #s(literal 4 binary64))))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal -2 binary64) (*.f64 J J)) (neg.f64 U))
(*.f64 (*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (*.f64 J J) (*.f64 U U))) #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 U U)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 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)
(*.f64 (*.f64 U U) (fma.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 U U) (fma.f64 J (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 U U))) (/.f64 #s(literal -1/4 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 (*.f64 J J) (fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 U (*.f64 U #s(literal -1/4 binary64))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) (*.f64 (*.f64 J J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (/.f64 U J) U) J) #s(literal 1 binary64))))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
Calls

2 calls:

39.0ms
J
16.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
85.5%3J
90.7%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 31 to 20 computations (35.5% saved)

regimes56.0ms (0.5%)

Memory
8.7MiB live, 52.2MiB allocated
Counts
43 → 6
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
(/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U)
(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
(fma.f64 (*.f64 K #s(literal 1/4 binary64)) (*.f64 K J) (*.f64 J #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(/.f64 (fma.f64 U (neg.f64 U) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U)
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U))))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))) J)
(*.f64 U (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -4 binary64)) J) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 J #s(literal 4 binary64))) (/.f64 U J) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))))
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) J (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) J)) (fma.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) J) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal -8 binary64)) J) (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 4 binary64)) (*.f64 (*.f64 K K) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) (*.f64 J #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J))) (*.f64 J (*.f64 J #s(literal 4 binary64))))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
Outputs
(neg.f64 U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
Calls

3 calls:

30.0ms
U
13.0ms
J
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)))))
Results
AccuracySegmentsBranch
75.0%3J
72.4%3U
87.8%6(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes24.0ms (0.2%)

Memory
-21.2MiB live, 18.4MiB allocated
Counts
42 → 5
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
(/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U)
(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
(fma.f64 (*.f64 K #s(literal 1/4 binary64)) (*.f64 K J) (*.f64 J #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(/.f64 (fma.f64 U (neg.f64 U) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U)
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U))))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))) J)
(*.f64 U (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -4 binary64)) J) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 J #s(literal 4 binary64))) (/.f64 U J) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))))
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) J (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) J)) (fma.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) J) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal -8 binary64)) J) (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 4 binary64)) (*.f64 (*.f64 K K) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) (*.f64 J #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J))) (*.f64 J (*.f64 J #s(literal 4 binary64))))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (*.f64 U U) #s(literal -1/4 binary64)) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (*.f64 U U) (/.f64 #s(literal 1/8 binary64) (*.f64 J J)) #s(literal 1 binary64)))
Outputs
(neg.f64 U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
Calls

1 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)))))
Results
AccuracySegmentsBranch
84.7%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)

regimes56.0ms (0.5%)

Memory
10.0MiB live, 49.2MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
(/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U)
(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
(fma.f64 (*.f64 K #s(literal 1/4 binary64)) (*.f64 K J) (*.f64 J #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(/.f64 (fma.f64 U (neg.f64 U) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U)
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U))))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))) J)
(*.f64 U (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -4 binary64)) J) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 U (*.f64 J #s(literal 4 binary64))) (/.f64 U J) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 J (*.f64 K K)) (*.f64 J #s(literal -2 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 U U)) (*.f64 J #s(literal 2 binary64)))))))
(fma.f64 (*.f64 K K) (fma.f64 #s(literal 1/4 binary64) J (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 U U)) J)) (fma.f64 (*.f64 U U) (/.f64 #s(literal -1/4 binary64) J) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) (*.f64 (*.f64 K K) (*.f64 K K))) #s(literal -8 binary64)) J) (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal 4 binary64)) (*.f64 (*.f64 K K) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) (*.f64 J #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 K K) J))) (*.f64 J (*.f64 J #s(literal 4 binary64))))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
Outputs
(neg.f64 U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 U J) (*.f64 (/.f64 U J) #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
Calls

4 calls:

25.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
10.0ms
(/.f64 K #s(literal 2 binary64))
10.0ms
K
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
62.5%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
52.5%2K
52.5%2(/.f64 K #s(literal 2 binary64))
75.1%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 44 to 31 computations (29.5% saved)

regimes31.0ms (0.2%)

Memory
-9.7MiB live, 29.9MiB allocated
Counts
25 → 4
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
(/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U)
(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
(fma.f64 (*.f64 K #s(literal 1/4 binary64)) (*.f64 K J) (*.f64 J #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(/.f64 (fma.f64 U (neg.f64 U) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U)
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U))))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))) J)
(*.f64 U (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (neg.f64 U) (+.f64 (/.f64 J (*.f64 U U)) (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 (*.f64 J #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 K K) (*.f64 K K)) #s(literal -4 binary64)) J) (fma.f64 K (*.f64 K #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))) (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U)))))
Outputs
(*.f64 U (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 U U) (*.f64 J J)) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) J))
(*.f64 U (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
Calls

3 calls:

8.0ms
U
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
J
Results
AccuracySegmentsBranch
50.8%3U
51.9%2J
67.7%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes14.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB allocated
Counts
20 → 4
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
(/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U)
(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
(fma.f64 (*.f64 K #s(literal 1/4 binary64)) (*.f64 K J) (*.f64 J #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
(*.f64 (*.f64 U (neg.f64 U)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) U)))
(/.f64 (fma.f64 U (neg.f64 U) (*.f64 J (*.f64 J #s(literal -2 binary64)))) U)
(*.f64 U (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) U) (*.f64 U (neg.f64 U))))
(*.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) (*.f64 U U)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))) J)
(*.f64 U (fma.f64 (/.f64 J U) (*.f64 (/.f64 J U) #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 U (*.f64 U U))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 U U (*.f64 #s(literal 0 binary64) U)))))
Outputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(*.f64 (*.f64 #s(literal -2 binary64) J) (/.f64 (*.f64 #s(literal -1/2 binary64) U) J))
Calls

2 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)))))
6.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
50.5%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
61.9%4(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes33.0ms (0.3%)

Memory
-10.1MiB live, 33.6MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
(*.f64 U (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
(/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U)
(/.f64 (*.f64 U (neg.f64 U)) (+.f64 #s(literal 0 binary64) U))
(fma.f64 (*.f64 K #s(literal 1/4 binary64)) (*.f64 K J) (*.f64 J #s(literal -2 binary64)))
(-.f64 (/.f64 (*.f64 J (*.f64 J #s(literal -2 binary64))) U) U)
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 J J) U) (neg.f64 U))
Outputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 U (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64))))
Calls

6 calls:

14.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
4.0ms
(*.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)))))
4.0ms
(/.f64 K #s(literal 2 binary64))
4.0ms
J
4.0ms
U
Results
AccuracySegmentsBranch
47.5%2U
38.2%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
48.0%2J
43.0%3K
43.0%3(/.f64 K #s(literal 2 binary64))
50.5%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 52 to 37 computations (28.8% saved)

regimes3.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(*.f64 J (*.f64 #s(literal 1/4 binary64) (*.f64 K K)))
(*.f64 J (fma.f64 #s(literal 1/4 binary64) (*.f64 K K) #s(literal -2 binary64)))
Outputs
(neg.f64 U)
(*.f64 J #s(literal -2 binary64))
(neg.f64 U)
Calls

1 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)))))
Results
AccuracySegmentsBranch
50.2%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 27 to 17 computations (37% saved)

regimes7.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(neg.f64 U)
Outputs
(neg.f64 U)
Calls

5 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
J
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
K
1.0ms
U
Results
AccuracySegmentsBranch
38.2%1K
38.2%1(/.f64 K #s(literal 2 binary64))
38.2%1U
38.2%1J
38.2%1(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Compiler

Compiled 45 to 31 computations (31.1% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.3017176907341025e+306
+inf
0.0ms
-6.752418807117057e+301
-7.722236485642722e+291
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.3017176907341025e+306
+inf
0.0ms
-6.752418807117057e+301
-7.722236485642722e+291
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.3017176907341025e+306
+inf
0.0ms
-6.752418807117057e+301
-7.722236485642722e+291
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
1.3017176907341025e+306
+inf
0.0ms
-2.6378863282753806e-291
-1.3893665243422215e-292
0.0ms
-2.226814649611056e-68
-3.4256317480275252e-71
0.0ms
-9.736684359528472e+164
-2.242264560061105e+164
0.0ms
-6.752418807117057e+301
-7.722236485642722e+291
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
1.3017176907341025e+306
+inf
0.0ms
-2.6378863282753806e-291
-1.3893665243422215e-292
0.0ms
-1.9524812607888115e+213
-1.9845200279275338e+212
0.0ms
-6.752418807117057e+301
-7.722236485642722e+291
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-1.3893665243422215e-292
1.1695661486784407e-212
0.0ms
-6.752418807117057e+301
-7.722236485642722e+291
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
-1.3893665243422215e-292
1.1695661486784407e-212
0.0ms
-1.217676253061413e-103
-1.330752617586434e-106
0.0ms
-7.722236485642722e+291
-2.542936945029487e+290
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
-1.3893665243422215e-292
1.1695661486784407e-212
0.0ms
-1.0351148093093044e-75
-1.3291566914051321e-80
0.0ms
-6.752418807117057e+301
-7.722236485642722e+291
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-1.0351148093093044e-75
-1.3291566914051321e-80
0.0ms
-6.752418807117057e+301
-7.722236485642722e+291
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-1.0351148093093044e-75
-1.3291566914051321e-80
0.0ms
-6.752418807117057e+301
-7.722236485642722e+291
Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify19.0ms (0.2%)

Memory
9.4MiB live, 9.4MiB allocated
Algorithm
1×egg-herbie
Rules
56×*-commutative_binary64
10×+-commutative_binary64
8×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01141077
11501077
21591077
31661077
41691077
51701077
Stop Event
1×saturated
Calls
Call 1
Inputs
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Outputs
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(neg.f64 U)

soundness1.7s (13.6%)

Memory
-9.6MiB live, 1 342.2MiB allocated
Rules
19 354×lower-fma.f64
19 354×lower-fma.f32
13 032×lower-fma.f64
13 032×lower-fma.f32
10 548×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085311293
1280411015
2765510887
0853510371
03603717
111533609
245143477
084993319
01766
02866
17966
243266
3436466
0812966
045284
085284
1312248
22181242
08432239
046267
086264
1286232
21932230
08210230
047271
087265
1294221
22100219
08369219
07499782
125039374
083358735
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×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 2 174 to 912 computations (58% saved)

preprocess173.0ms (1.4%)

Memory
10.4MiB live, 482.5MiB allocated
Remove

(abs K)

Compiler

Compiled 3 174 to 560 computations (82.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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